Rounding Whole numbers ----------------------------------------------- 1-6

Estimating and approximating ---------------------------------------------- 7-10

BODMAS ---------------------------------------------------------------------- 11-18

Pairs of brackets --------------------------------------------------------------- 19-21

Negative numbers and co-ordinates ---------------------------------------- 22-27

Mental Addition -------------------------------------------------------------- 28-31

Add several numbers -------------------------------------------------------- 32-37

Adding on with decimals ---------------------------------------------------- 38-46

Add and subtract decimals -------------------------------------------------- 47-54

Mixed addition and Subtraction of decimals -------------------------------- 55-56

More practice Subtraction with decimals ----------------------------------- 57-70

Multiply 2 digits numbers ---------------------------------------------------- 71-76

Multiply decimals ----------------------------------------------------------- 77-80

Revise Multiplication and square number ----------------------------------- 81-84

Multiply decimals by 10 and 100 -------------------------------------------- 85-88

Multiples, factors and prime numbers --------------------------------------- 89-94

Square and cube numbers --------------------------------------------------- 95-97

Multiplying 4-digit numbers by 2-digit numbers --------------------------- 98-100

Divide decimals by 10 and 100 ---------------------------------------------- 101-102

Revise division ---------------------------------------------------------------- 103-106

Dividing: Remainders as whole numbers ------------------------------------ 107-109

Long division of money ------------------------------------------------------ 110-112

Divide 3 digit numbers by 2 digit numbers --------------------------------- 113-118

More on equivalent fractions ------------------------------------------------ 119-121

Improper fractions and mixed numbers ------------------------------------- 122-123

Find fractions of numbers ---------------------------------------------------- 124-126

Fraction word problems --------------------------------------------------------- 127-129

Ordering decimals --------------------------------------------------------------- 131-132

Converting Decimals and fractions --------------------------------------------- 133-139

Rounding decimals -------------------------------------------------------------- 140-147

Percentage ----------------------------------------------------------------------- 148-154

Adding fractions ----------------------------------------------------------------- 155-162

Subtracting fractions ------------------------------------------------------------- 163-166

Multiplying fractions ------------------------------------------------------------- 167-168

Algebra: Use simple formulae --------------------------------------------------- 169-172

Algebra: Solve simple equations ------------------------------------------------ 173-176

Ratio and proportion ------------------------------------------------------------- 177-181

Scale and proportion ------------------------------------------------------------- 182-186

Equivalent ratios ------------------------------------------------------------------- 187-189

Reflect and translate shapes: ----------------------------------------------------- 190-197

Co-ordinates in four quadrants -------------------------------------------------- 198-202

More shape work ----------------------------------------------------------------- 203-204

More on metric units ------------------------------------------------------------- 205-208

More on units of measurement -------------------------------------------------- 209-211

Surface area of cuboids ----------------------------------------------------------- 212-216

Probability -------------------------------------------------------------------------- 217-218

Interpreting pie charts ------------------------------------------------------------- 219-220

Interpreting conversion graphs ---------------------------------------------------- 221-222

Interpreting line graphs ------------------------------------------------------------ 223-224

 Revise rounding whole numbers
Maths worksheets from urbrainy.com

ROUNDING TO NEAREST THOUSAND

1 000 1 100 1 200 1 300 1 400 1 500 1 600 1 700 1 800 1 900 2 000

1 309 1 509
rounded to 1 000 rounded to 2 000

Write these numbers to the nearest whole thousand:

1. 3 759 ………… Look at the hundreds when

deciding whether to round up
2. 5 935 ………… or down to the nearest
thousand.
3. 8 065 …………

4. 7 216 …………

5. 2 060 …………

6. 2 593 …………

7. 34 603 ………… 8. 98 837 …………

9. 19 246 ………… 10. 21 767 …………

11. 25 504 ………… 12. 19 701 …………

13. What is the nearest thousand to 45 680 ? …………

14. What is the nearest thousand to 12 521 ? …………

15. What is the nearest thousand to 91 499 ? …………

16. Round 71 656 to the nearest thousand. …………

17. Round 75 288 to the nearest thousand. …………

18. What whole thousand is nearest to 19 535 ? …………

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ROUNDING TO NEAREST TEN THOUSAND

20 000 21 000 22 000 23 000 24 000 25 000 26 000 27 000 28 000 29 000 30 000

23 478 25 296

23 478 rounded to the nearest ten thousand is 20 000.

25 296 rounded to the nearest ten thousand is 30 000.

Write these numbers to the nearest ten thousand:

1. 27 844 ………… Look at the thousands when

deciding whether to round up
2. 35 129………… or down to the nearest ten
thousand.
3. 93 203 …………

4. 48 039 …………

5. 17 310 …………

6. 23 561 …………

7. 40 576 ………… 8. 96 654 …………

9. 19 050 ………… 10. 25 067 …………

11. 41 653………… 12. 18 919 …………

13. What is the nearest ten thousand to 56 838 ? …………

14. What is the nearest ten thousand to 38 759 ? …………

15. What is the nearest ten thousand to 47 147 ? …………

16. Round 55 716 to the nearest ten thousand. …………

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ROUNDING TO THE NEAREST MILLION

3 267 499 is 3 000 000 (three million) to the nearest million

3 988 611 is 4 000 000 (four million) to the nearest million

When rounding to the nearest million it is the hundreds of

thousands digit that needs to be considered.

If it is five or above, round up.

If it is below five, round down.

Round these numbers to the nearest million:

1. 2 434 980 ………………... 2. 5 657 121 ………………...

3. 8 654 347 ………………... 4. 3 978 909 ………………...

5. 6 289 051 ………………...

6. Below is a chart showing the area of some of the oceans and seas in the
world.

Complete the table rounding off these areas to the nearest million square km:

OCEAN/SEA AREA ( in sq. km)

Arctic Ocean 9 485 000 sq km

Coral Sea 4 791 000 sq km

Arabian Sea 3 864 000 sq km

South China Sea 3 686 000 sq km

Caribbean Sea 2 753 000 sq km

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 Revise rounding whole numbers
Maths worksheets from urbrainy.com

1. Below are the population figures for some states of the USA. They
have already been rounded to the nearest thousand but now round
them to the nearest million:

STATE POPULATION

Arizona 3 489 000

California 28 314 000

Hawaii 1 098 000

Kansas 2 495 000

Oklahoma 3 242 000

2. Write down in figures a number between six million and

seven million which is nearer to seven million
than six million. .....………….

3. Paris has a population of 8 707 000 whilst London has

a population of 6 735 000. To the nearest million, how
much bigger is Paris than London ? .....………….

4. The planet Mercury orbits the sun at an average distance

of 57 909 200 km.
Round this to the nearest million km .....………….

5. The Sahara desert covers an area of 9 269 590 sq km.

Round this to the nearest million km. .....………….

6. The length of the main road system in the USA totals

an incredible 6 284 598 km.
Round this to the nearest million km. .....………….

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 Revise rounding whole numbers
Maths worksheets from urbrainy.com

1. Write down populations of these South American countries to the

nearest million people:

Bolivia 6 917 485

Brazil 144 369 840

Colombia 30 007 645

Ecuador 10 154 389

Peru 20 681 529

Argentina 31 506 944

Chile 12 760 860

2. The Pacific Ocean has an area of

about 166 241 578 sq. km.
Round this off to the nearest million sq. km. .....………….

3. Each year about 60 584 300 tourists

visit France.
What is this figure to the nearest million ? .....………….

4. If Venus is 108 325 081 kilometres from the sun,

what would this be to the nearest million km ? .....………….

5. Greenland has an area of 2 175 590 sq. km.

What is this to the nearest million sq km ? .....………….

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 Revise rounding whole numbers
Maths worksheets from urbrainy.com

If you were giving estimates for the following numbers would you round them to
the nearest ten, hundred, thousand, ten thousand, hundred thousand or
million ( or even more!)?

1. The number of children in a class. ...............………….

2. The number of children in a school. . ...............………….

3. The distance, in kilometres, from the Earth to the sun. ...............………….

4. The distance, in kilometres, from London to Dover. ...............………….

5. The number of people in the world. . ...............………….

6. The number of people on a full coach. . ...............………….

7. The number of insects in the world. . ...............………….

8. The number of types of sweets in a supermarket. ................………….

9. Draw and complete the table below, rounding the numbers to ten, hundred,
thousand and ten thousand:

ROUND TO ROUND TO ROUND TO ROUND TO TEN

NUMBER 10 HUNDRED THOUSAND THOUSAND

26 489
37 591
46 668
21 012
38 903

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6202 More revision of estimating and approximating Page 1
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With these questions be prepared to say how you got your answers.

1. This line shows the numbers up to 10 000 divided into thousands.

Draw an arrow to show the following numbers (the first has been done
for you).

5 000, 7 500, 3 200, 1 000, 9 900

4 500

0 10 000

2. Where are the arrows pointing on this line?

A B C D

0 10 000

3. Where are the arrows pointing on this line?

A B C D

–90 +10

4. Where are the arrows pointing on this line?

A B C D

–80 +20

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6202 More revision of estimating and approximating Page 2
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With these questions be prepared to say how you got your answers.
1. This line shows the numbers up to 10 000 divided into thousands.

Draw an arrow to show the following numbers (the first has been done
for you).

6 000, 1 500, 2 800, 7 000, 5 600

7 500

0 10 000

2. Where are the arrows pointing on this line?

A B C D

0 1.0

3. Where are the arrows pointing on this line?

A B C D

–70 +30

4. Where are the arrows pointing on this line?

A B C D

–60 +40

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6202 More revision of estimating and approximating Page 3
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1. Which of these is the best approximation for 7 164 + 2 898 ?

a. 7 100 + 2 900 b. 7 100 + 3 000 c. 7 200 + 3 000 d. 7 200 + 2 900

2. Which of these is the best approximation for 8 378 - 1 709 ?

a. 8 300 - 1 700 b. 8 400 - 1 800 c. 8 300 - 1 800 d. 8 400 - 1 700

3. Which of these is the best approximation for 578 x 84 ?

a. 500 x 80 b. 600 x 90 c. 500 x 90 d. 600 x 80

4. Which of these is the best approximation for 632 ÷ 39 ?

a. 630 ÷ 40 b. 640 ÷ 40 c. 600 ÷ 30 d. 630 ÷30

5. Work out approximate answers to the following sums by rounding

to the nearest thousand:

a. 5 720 + 3 033 Remember to look at

the hundreds when
b. 21 777 + 4 489 rounding to whole
thousands!
c. 64 355 + 4 669

d. 32 699 + 1 151

e. 67 930 + 2 499

6. What is 72 643 to the nearest whole ten?

7. What is 72 643 to the nearest whole one hundred?

8. What is 72 643 to the nearest whole one thousand?

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6202 More revision of estimating and approximating Page 4
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1. What is the approximate answer for ( 3 482 + 85 ) ÷ 20

2. What is the approximate answer for (10 158 - 189 ) ÷ 100

3. Work out approximate answers to the following sums by

rounding to the nearest thousand:

a. 73 229 + 5 280
Tens of thousands eh!
b. 47 778 + 7 777 Tricky stuff!

c. 51 900 + 2 199

d. 42 366 + 7 839

e. 22 818 + 8 348

4. What is 59 201 to the nearest thousand?

5. What is 76 170 to the nearest thousand?

6. To the nearest thousand what is half of 70 499?

7. To the nearest thousand what is double 22 199?

8. Round 73 678 to the nearest 10.

9. Round 73 678 to the nearest 100.

10. Round 73 678 to the nearest 1 000.

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6320 Conventions for working out expressions BODMAS Page 1
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For the next two pages you need 2 types of calculator - an ordinary one
and a scientific calculator.

It is very important that when you are faced with a series of sums in a line
that they are calculated in the correct order. Believe it or not this may not
be the order that they come! Look below:

Work out the answer to 3 + 5 x 5 =

Is there a possibility of more than one correct answer?

Try a scientific calculator and see what answer you get.

Try an ordinary calculator and see what answer you get.

Can you write why you think the calculators

come up with two different answers?

Huh! Who said

calculators gave you the
right answer!

To get the answer 40 the addition is done first, followed by the

multiplication.
To get the answer 28 the multiplication is done first followed by the
addition.
Which is correct? Good question!
Try these sums on the two different calculators:

1. 3 + 3 x 4 = or 2. 20 – 6 x 2 = or

3. 6 x 6 + 4 = or 4. 48 – 12 ÷ 4 = or

Can you see what the scientific calculator is doing?

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6320 Conventions for working out expressions BODMAS Page 2
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If a long sum (or expression) has no brackets, like 3 + 5 x 5 = it has

been agreed by mathematicians that the multiplying would be
worked out before the addition, even if it does not appear first in the
sum.

If a sum has a bracket as part of it, such as 4 x (5 + 4) = then it has

been agreed that the part inside the brackets will be calculated first.

There is an easy way to remember this: BODMAS

Brackets
Of Any sum in brackets is calculated
Division first.
Division and multiplication are
Multiplication calculated before addition and
Addition subtraction.
Subtraction

Try these to get the idea!

Not as hard as I thought!
1. 6+ 4 x2 = I can have a break now!

2. 4+ 4÷2 =

3. 8 + 6–3 =

4. 5+5 x 4 =

5. 12 + 3 x 2 =

6. 2 x 4+5 =

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 6320 Conventions for working out expressions BODMAS Page 3
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Remember BODMAS. Any calculations inside brackets

must be completed before any other part of the sequence.

Without using a calculator work out the answers to the

following sequences:

1. 100 – (20 x 3) = 9. (5 x 7) – (2 x 5) =

2. (35 – 15) + (27 – 7) = 10. 56 – (4 x 7) =

3. 15 + (6 x 6) = 11. 78 – (10 x 7) =

4. (4 + 5) x (3 + 6) = 12. (7 x 7) + (4 x 8) =

5. (5 + 5) x (5 – 2) = 13. (45 – 23) + (5 x 8) =

6. 50 – (6 x 6) = 14. 38 – (5 x 7) =

7. (4 + 8) x (3 – 2) = 15. (100 – 45) + (7 x 7) =

8. (9 – 3) + (6 x 6) = 16. 45 – (9 x 4) =

Not so tricky eh! I bet Just a couple of trickier

you got all these problems.
correct! By putting in brackets in
different places, how many
different sums and answers can
you find for these two
sequences:

1. 4 + 4 x 5 – 3 =

2. 8 + 5 x 1 + 3 – 6 =

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6320 Conventions for working out expressions BODMAS Page 4
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Remember BODMAS shows you the order in which

operations should be carried out.

What is the value of ;

1. (4 x 2 ) + ( 3 x 3 ) = 2. ( 4 x 4 ) + ( 5 x 5 ) =

3. ( 6 x 6 ) – ( 4 x 4 ) = 4. ( 9 x 9 ) – ( 8 x 8 ) =

5. 18 – ( 4 x 2 ) = 6. 4 x ( 4 – 2 ) =

7. 18 – ( 9 x 4 ) + 32 = 8. ( 12 x 12 ) – ( 11 x 12 ) =

9. 30 – ( 5 x 4 ) = 10. 67 – ( 9 x 5 ) =

11. ( 8 + 6 ) x 4 = 12. 8 x 7 – 3 =

13. (4 x 9) – ( 4 x 8 ) = 14. 56 – ( 5 x 9 ) =

15. 72 – (8 x 7 ) + 9 = 16. (9 x 8) + ( 9 x 8 ) =

Wow! I bet you got most of

these right as well.
Getting easy aren't they!
Try finding a sequence that
will give the same answer if
you put the brackets in two
different places.

And another…..

14
6320 Conventions for working out expressions BODMAS Page 5
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Remember BODMAS shows you the order in which operations

should be carried out.

Write the following sums out without changing the order of the numbers.
To make the sums correct put in the brackets if necessary to show which
part has to be completed first.

8+4 x 6 – 5 = 27

8+4 x 6 – 5 = 12

8+4 x 6 – 5 = 67

You can see the need for a rule on this otherwise everyone
would be doing sums in different ways and getting different
answers!

Put in the signs and/or brackets to make the following true:

1. 4 4 3 = 16 6. 4 6 4 = 20

2. 7 6 11 = 12 7. 10 3 5 = 35

3. 2 2 4 = 8 8. 2 4 6 = 1

4. 2 2 4 = 16 9. 24 2 4 = 8

5. 4 3 3 = 13 10. 5 4 4 = 21

Ah ha! I bet you didn't

find these quite as
easy!
You did? Great!

15
6320 Conventions for working out expressions BODMAS Page 6
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Do you remember what these signs mean? < and >

The arrow
< means is less than always points
to the smaller
number!
> means is more than

Put the correct sign into the statements below. You will have to work
out the sums first, remembering BODMAS

1. 6+4x3 3x4+6

2. 8 x 8 – 20 6 x 6 + 20

3. 2 x 32 + 46 62 + 4 x 9

4. 8+8x6 6+8x8

5. 120 – 6 x 7 6 x 7 + 40

6. 140 + 4 x 7 32 x 5 + 5

Investigate: Using only these numbers and signs make a statement or

expression which will give you the biggest possible answer:

8 + 7 – 6 x 4 and one set of brackets.

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6320 Conventions for working out expressions BODMAS Page 7
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SPEED CHECK: USING THE CORRECT SEQUENCE OF

OPERATIONS

Time yourself on these questions to see how long it takes. Remember

to work out the answer in the right order (BODMAS)

1. 9 x (4 + 4) = 2. 8 x (3 + 8) = 3. 5 x (6+ 3) =

4. 8 + 24 ÷ 4 = 5. 7 + 63 ÷ 9 = 6. 5 + 21 ÷ 7 =

7. (4 + 7) x 3 = 8. ( 5 + 3) x 6 = 9. (7 + 2) x 8 =

10. 12 ÷ (2 + 4) = 11. 24 ÷ (7 + 5) =

12. 45 ÷ (4 + 5) = 13. 63 ÷ (17 – 8) =

14. 4 + 5 x 9 = 15. 8 + 8 x 8 = 16. 7 + 7 x 7 =

17. 6 + 6 x 6 = 18. 9 + 9 x 9 = 19. 81 – 4 x 4 =

20. (18 + 15) – (13 + 12) =

How long did you take?

Did you get them all correct?

17
6320 Conventions for working out expressions BODMAS Page 8
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SPEED CHECK: USING THE CORRECT SEQUENCE OF

OPERATIONS

Time yourself on these questions to see how long it takes. Remember

to work out the answer in the right order (BODMAS).

1. 8 x (5 + 4) = 2. 7 x (4 + 8) = 3. 6 x (6+ 4) =

4. 7 + 28 ÷ 4 = 5. 6 + 72 ÷ 9 = 6. 4 + 28 ÷ 7 =

7. (3 + 8) x 5 = 8. (6 + 4) x 8 = 9. (9 + 2) x 7 =

10. 32 ÷ (4 + 4) = 11. 18 ÷ (7 + 2) =

12. 54 ÷ (4 + 5) = 13. 48 ÷ (14 – 8) =

Even speedier!!

14. 5 + 5 x 8 = 15. 6 + 7 x 8 = 16. 8 + 9 x 6 =

17. 4 + 6 x 7 = 18. 3 + 4 x 5 = 19. 64 – 4 x 4 =

20. (19 + 13) – (14 + 15) =

How long did you take? If this was your second go, did you
beat your first time?

Did you get them all correct?

18
 Order of operations: pairs of brackets
Maths worksheets from urbrainy.com

Brackets are a great help in deciding what order to carry out

calculations. The rule is easy: solve the brackets first!
(5 x 2) + (8 – 4) = 10 + 4 = 14
Now try the questions below:

1. 2.
a. (6 x 4) + (2 x 5) = ……… + ……… = ……………….. a. (3 x 8) + (4 x 6) = ……… + ……… = ………………..

b. (60 x 4) + (2 x 5) = …….…… + ……… = ……………….. b. (30 x 8) + (4 x 6) = …….…… + ……… = ………………..

c. (6 x 4) − (2 x 5) = ……… − ……… = ……………….. c. (3 x 8) − (4 x 6) = ……… − ……… = ………………..

d. (60 x 4) − (8 x 5) = …….…… − ……… = ……………….. d. (30 x 8) − (8 x 6) = …….…… − ……… = ………………..

e. (6 + 4) x (7 + 5) = ……… x ……… = ……………….. e. (8 + 4) x (3 + 3) = ……… x ……… = ………………..

f. (6 x 4) ÷ (7 + 5) = ……… ÷ ……… = ……………….. f. (8 + 4) ÷ (3 + 3) = ……… ÷ ……… = ………………..

3. 4.
a. (8 x 8) + (4 x 6) = ……… + ……… = ……………….. a. (7 x 2) + (6 x 6) = ……… + ……… = ………………..

b. (80 x 8) + (6 x 4) = …….…… + ……… = ……………….. b. (70 x 2) + (6 x 6) = …….…… + ……… = ………………..

c. (8 x 8) − (6 x 4) = ……… − ……… = ……………….. c. (70 x 2) − (6 x 6) = ……… − ……… = ………………..

d. (80 x 8) − (6 x 5) = …….…… − ……… = ……………….. d. (60 x 6) − (7 x 2) = …….…… − ……… = ………………..

e. (8 + 4) x (4 + 2) = ……… x ……… = ……………….. e. (9 + 3) x (2 + 4) = ……… x ……… = ………………..

f. (8 + 4) ÷ (4 + 2) = ……… ÷ ……… = ……………….. f. (9 + 3) ÷ (4 + 2) = ……… ÷ ……… = ………………..

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 Order of operations: pairs of brackets
Maths worksheets from urbrainy.com

Brackets are a great help in deciding what order to carry out

calculations. The rule is easy: solve the brackets first!
(5 x 2) + (8 – 4) = 10 + 4 = 14
Now try the questions below:

1. 2.
a. (7 x 5) + (3 x 5) = ……… + ……… = ……………….. a. (6 x 8) + (8 x 3) = ……… + ……… = ………………..

b. (70 x 5) + (3 x 5) = …….…… + ……… = ……………….. b. (60 x 8) + (3 x 8) = …….…… + ……… = ………………..

c. (7 x 5) − (3 x 5) = ……… − ……… = ……………….. c. (6 x 8) − (3 x 8) = ……… − ……… = ………………..

d. (70 x 5) − (5 x 7) = …….…… − ……… = ……………….. d. (60 x 8) − (8 x 6) = …….…… − ……… = ………………..

e. (3 + 4) x (7 + 5) = ……… x ……… = ……………….. e. (6 + 6) x (4 + 2) = ……… x ……… = ………………..

f. (10 x 5) ÷ (20 + 5) = ……… ÷ ……… = ……………….. f. (40 + 8) ÷ (5 − 3) = ……… ÷ ……… = ………………..

3. 4.
a. (7 x 2) + (7 x 4) = ……… + ……… = ……………….. a. (3 x 9) + (5 x 7) = ……… + ……… = ………………..

b. (70 x 2) + (7 x 4) = …….…… + ……… = ……………….. b. (30 x 9) + (5 x 7) = …….…… + ……… = ………………..

c. (7 x 4) − (7 x 2) = ……… − ……… = ……………….. c. (30 x 9) − (7 x 5) = ……… − ……… = ………………..

d. (70 x 4) − (7 x 4) = …….…… − ……… = ……………….. d. (70 x 5) − (3 x 90) = …….…… − ……… = ………………..

e. (9 + 2) x (6 − 3) = ……… x ……… = ……………….. e. (9 + 3) x (9 − 3) = ……… x ……… = ………………..

f. (9 + 3) ÷ (6 − 2) = ……… ÷ ……… = ……………….. f. (9 + 3) ÷ (9 − 3) = ……… ÷ ……… = ………………..

Name: Page 2

20
 Order of operations: pairs of brackets
Maths worksheets from urbrainy.com

Brackets are a great help in deciding what order to carry out

calculations. The rule is easy: solve the brackets first!
(5 x 2) + (8 – 4) = 10 + 4 = 14
Now try the questions below:

1. 2.
a. (4 x 8) + (6 x 6) = ……… + ……… = ……………….. a. (3 x 9) + (6 x 5) = ……… + ……… = ………………..

b. (40 x 8) + (6 x 6) = …….…… + ……… = ……………….. b. (60 x 5) + (3 x 9) = …….…… + ……… = ………………..

c. (6 x 6) − (4 x 8) = ……… − ……… = ……………….. c. (6 x 5) − (9 x 3) = ……… − ……… = ………………..

d. (60 x 6) − (8 x 4) = …….…… − ……… = ……………….. d. (30 x 9) − (6 x 5) = …….…… − ……… = ………………..

e. (6 + 4) x (8 + 5) = ……… x ……… = ……………….. e. (9 + 1) x (6 + 6) = ……… x ……… = ………………..

f. (7 x 5) ÷ (10 − 5) = ……… ÷ ……… = ……………….. f. (90 + 10) ÷ (9 − 4) = ……… ÷ ……… = ………………..

3. 4.
a. (6 x 6) + (3 x 7) = ……… + ……… = ……………….. a. (2 x 8) + (7 x 7) = ……… + ……… = ………………..

b. (60 x 6) + (7 x 3) = …….…… + ……… = ……………….. b. (20 x 8) + (7 x 7) = …….…… + ……… = ………………..

c. (6 x 6) − (3 x 7) = ……… − ……… = ……………….. c. (20 x 8) − (7 x 7) = ……… − ……… = ………………..

d. (70 x 3) − (6 x 6) = …….…… − ……… = ……………….. d. (70 x 7) − (20 x 8) = …….…… − ……… = ………………..

e. (7 + 2) x (8 − 3) = ……… x ……… = ……………….. e. (7 + 7) x (9 − 7) = ……… x ……… = ………………..

f. (9 + 9) ÷ (8 − 5) = ……… ÷ ……… = ……………….. f. (7 + 8) ÷ (8 − 3) = ……… ÷ ……… = ………………..

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 Negative numbers and co-ordinates (1)
Maths worksheets from urbrainy.com

1. Discuss with your teacher or parent the meaning of these words:

positive, negative, minus, above zero, below zero, rise, fall.

Can you spell them all correctly?

2. Put these numbers in order, with the least first:

56, –12, –19, 7, –23, –31, 31

3. a) Here is a co-ordinate grid. Plot these points on the grid

and join them up:

(4, 2) (4, 8) (–3, 8) (–3, 2)

9

– – – –
4 3 2 1 0 1 2 3 4 5 6

b) What is the name of this shape? …………………………………………..

c) What is the area of this shape? …………………………………………….

d) What is the perimeter of this shape? ………………………………………

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 Negative numbers and co-ordinates (1)
Maths worksheets from urbrainy.com

1. In your own words, write a short definition of these terms:

positive, …………………………………..………………………………………….
negative, …………………………………….……………………………………….
above zero, ………………………………………………………………………….
below zero, ………………………………………………………………………….

2. Put these numbers in order, with the greatest first:

–18, –21, 36, –100, 9, –45, 23

……. ……. ……. ……. ……. ……. …….

3. a) Here is a co-ordinate grid. Plot these points on the grid

and join them up:

(6, 7) (4, 9) (–3, 2) (–1, 0)

9

– – – –
4 3 2 1 0 1 2 3 4 5 6

b) What is the name of this shape? …………………………………………..

c) What is the area of this shape? …………………………………………….

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 Negative numbers and co-ordinates (1)
Maths worksheets from urbrainy.com

1. Plot these temperatures on the grid below and draw a line to show how
the temperature changes over the day.

a.m. p.m.
Time 8 9 10 11 12 1 2 3 4 5 6 7 8 9
Temp oC –5 –1 2 5 1 –2 –4 –4 –5 –2 –1 0 0 1

Temp oC
5

0
−
1
−
2
−
3
−
4
−
5
8 9 10 11 12 1 2 3 4 5 6 7 8 9
a.m. p.m.

Complete this table by showing how much the temperature has gone
up or down each hour. A few have been done for you.

a.m. p.m.
Time 8 9 10 11 12 1 2 3 4 5 6 7 8 9
Temp oC –
5 –
1 2 5 1 –
2 –
4 –
4 –
5 –
2 –
1 0 0 1
Difference +4 +3 –1

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 Negative numbers and co-ordinates (1)
Maths worksheets from urbrainy.com

1. The height of the tide is measured from the average height. This table
shows the heights over a period of 12 hours. Put these heights on the
grid below and draw a line to show how the tide changes over the day.

a.m. p.m.
Time 6 7 8 9 10 11 12 1 2 3 4 5 6
– –
Height (m) 4 3 –1.5 0 1 2 2.5 2.5 1.5 0.5 –1 –
2 –
3

Ht (m)
5

0
−
1
−
2
−
3
−
4
−
5
8 9 10 11 12 1 2 3 4 5 6 7 8 9
a.m. p.m.

Complete this table by showing how much the tide has gone
up or down each hour. A few have been done for you.

a.m. p.m.
Time 6 7 8 9 10 11 12 1 2 3 4 5 6
– – – – – –
Height (m) 4 3 1.5 0 1 2 2.5 2.5 1.5 0.5 1 2 3
Difference +1 +1.5 –1

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 Negative numbers and co-ordinates (1)
Maths worksheets from urbrainy.com

1. and are two numbers which may be positive or negative.

+ = 3

Fill in the missing numbers in the table:

–2 –1 0 3 4 7
2 1 –2 –3 –5

Take each pair of points and, using them as a pair of co-ordinates, plot them on
the grid below.
5

0
–2 –1 0 1 2 3 4 5 6 7 8 9 10
−
1
−
2
−
3
−
4
−
5

Join up the points. What shape do they make? …………………………………….

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 Negative numbers and co-ordinates (1)
Maths worksheets from urbrainy.com

1. and are two numbers which may be positive or negative.

2x + = 4
Fill in the missing numbers in the table:

Fill in the missing numbers in the table:

0 1 2
–2 –4

Take each pair of points and, using them as a pair of co-ordinates, plot them on
the grid below.

0
–2 –1 0 1 2 3 4 5 6 7 8 9 10
−
1
−
2
−
3
−
4
−
5

Join up the points. What shape do they make? …………………………………….

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 Very hard mental addition
Maths worksheets from urbrainy.com

Mental Addition

Fill in the boxes with the correct number to make these questions correct:

1. 459 + 276 =
These are about as hard
as they get - in your head!
Who's got a hard head?
2. 325 + 189 =

3. + 124 = 1 000

4. + 418 = 1 000

5. 233 + = 1 000

6. 121 + = 1 000

7. What is the sum of 470, 215 and 66 ? …………

8. Add 771 to 259. …………

9. How many altogether are 122, 33 and 122 ? …………

10. Increase 841 by 159. …………

11. What is the total of 222 and 778 ? …………

12. Find the total of 326, 134 and 49. …………

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 Very hard mental addition
Maths worksheets from urbrainy.com

Mental Addition

Fill in the boxes with the correct number to make these questions correct:

1. 1 470 + 1 890 =
Sometimes it's easier
to subtract to work out
2. 2 450 + 6 099 = the answer to an
addition problem -
strange eh!
3. + 660 = 1 300

4. + 503 = 1 400

5. 470 + = 1 890

6. 510 + = 2 500

7. What is the sum of 2 500, 316 and 600 ? …………

8. Add 1 980 to 1 120. …………

9. How many altogether are 302, 99 and 21 ? …………

10. Increase 6 450 by 1 342. …………

11. What is the total of 6 600 and 7 700 ? …………

12. Find the total of 54, 78 and 900. …………

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 Very hard mental addition
Maths worksheets from urbrainy.com

Mental addition using decimals

Work the answers to these problems in your head:

1. 1.35 + 3.81 = ………… Don't worry about the

decimal point. Treat it as any
2. 2.56 + 3.68 = ………… other addition, but remember
to include the point in your
3. 5.82 + 2.91 = ………… answer.

4. 6.83 + 6.47 = …………

5. 0.02 + 3.70 = …………

6. 9.08 + 8.18 = …………

7. 6.56 + 0.28 = …………

8. 6.42 + 4.38 = …………

Put in the missing decimal to make these sums add up to 1 :

9. 0.16 + = 1 10. 0.33 + = 1

11. 0.21 + = 1 12. 0.48 + = 1

Put in the missing decimal to make these sums add up to 10 :

13. 2.55 + = 10 14. 5.68 + = 10

15. 3.76 + = 10 16. 0.84 + = 10

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 Very hard mental addition
Maths worksheets from urbrainy.com

Mental addition using decimals

Work the answers to these problems in your head:

1. 3.18 + 7.29 = ………… I usually start with the units,

then add on the tenths and
2. 3.37 + 8.45 = ………… then the hundredths- how do
you do these?
3. 3.59 + 4.60 = …………

4. 5.74 + 6.88 = …………

5. 0.97 + 3.08 = …………

6. 8.19 + 8.29 = …………

7. 4.37 + 1.43 = …………

8. 8.54 + 4.55 = …………

Put in the missing decimal to make these sums add up to 1 :

9. 0.33 + = 1 10. 0.44 + = 1

11. 0.22 + = 1 12. 0.88 + = 1

Put in the missing decimal to make these sums add up to 10 :

13. 3.62 + = 10 14. 7.15 + = 10

15. 5.25 + = 10 16. 3.91 + = 10

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 Add several numbers
Maths worksheets from urbrainy.com

Write which numbers go in the boxes:

1. 23 + = 38 + 12

2. 10 + 22 +8 + = 69

3. + 56 + 34 = 130
Don't forget to look for shortcuts
with this type of work.
4. 78 + = 200
You may want to make jottings on
this side of the paper.
5. 45 + 40 + 15 =

6. 84 + + 26 = 300

7. 62 + 28 + = 130

8. 74 + 36 + 58 =

9. 8 + 42 + 7 + = 88

10. 63 + 27 + 9 + 11 =

11. 80 + 120 + = 180 + 180 + 180

12. 16 + 34 + 29 + 31 =

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 Add several numbers
Maths worksheets from urbrainy.com

Write which numbers go in the boxes:

1. 78 + = 45 + 55

2. 95 + 15 + 90 + = 370

3. + 73 + 17 = 300
Work very carefully with these
questions. Look for short cuts.
4. 56 + = 10 + 70 You may want to make jottings
on this side of the paper.
5. 63 + 67 + 13 =

6. 60 + + 45 = 120

7. 46 + 44 + = 99

8. 63 + 87 + 29 =

9. 63 + 27 + = 96

10. 54 + 56 + 23 + 37 =

11. 63 + 67 + = 89 + 21 + 40

12. 9 + 53 + 21 + 37 =

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 Add several numbers
Maths worksheets from urbrainy.com

Without doing any written working, answer the following questions:

1. 90 + 60 + 40 …………

2. 80 + 30 + 50 + 70 …………
I like a hard one to finish with,
3. 20 + 80 + 40 ………… but I expect you would like an
easy one after all that work,
4. 80 + 50 + 30 + 20 + 60 ………… so we made number 20 a
piece of cake.
5. 40 + 20 + 20 + 40 …………

6. 90 + 40 + 50 + 10 + 40 …………

7. 50 + 30 + 70 …………

8. 80 + 60 + 90 + 30 + 70 …………

9. 90 + 50 + 60 …………

10. 60 + 60 + 60 + 60 + 60 …………

11. 70 + 60 + 20 + 50 + 20 …………

12. 10 + 80 + 30 …………

13. 90 + 50 + 40 + 70 + 30 …………

14. 90 + 30 + 50 + 30 + 70 …………

15. 80 + 130 + 180 ………… Dundee, I hope.

Yum!
16. 90 + 120 + 450 …………

17. 80 + 160 + 70 + 150 + 10 …………

18. 10 + 160 + 150 …………

19. 50 + 50 + 60 + 70 + 190 …………

20. 10 + 10 + 10 + 10 + 10 …………

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 Add several numbers
Maths worksheets from urbrainy.com

Without doing any written working, answer the following questions:

1. 120 + 90 + 80 …………

2. 80 + 60 + 50 …………

3. 90 + 50 + 30 + 40 …………

4. 70 + 30 + 90 + 50 …………

5. 340 + 60 + 70 + 40 ………… You should be pretty good at

addition by now with all this
6. 230 + 170 + 60 + 40 …………
practice with tens!
7. 60 + 90 + 70 + 50 + 80 …………

8. 50 + 60 + 120 + 80 …………

9. 70 + 40 + 30 + 100 …………

10. 90 + 80 + 50 + 50 …………

11. 50 + 40 + 450 + 110 …………

12. 90 + 40 + 30 + 50 …………

13. 90 + 40 + 30 + 80 …………

14. 80 + 20 + 40 + 60 …………

15. 60 + 50 + 40 + 30 …………

16. 90 + 50 + 60 + 60 …………

17. 490 + 10 + 60 …………

18. 940 + 20 + 30 …………

19. 320 + 320 + 320 …………

20. 150 + 150 + 150 + 150 …………

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 Add several numbers
Maths worksheets from urbrainy.com

Without doing any written working, answer the following questions:

1. 82 + 83 + 85 …………

2. 37 + 30 + 35 + 38 ………… You will notice with these sums

that the tens of all the numbers in
3. 92 + 97 + 92 ………… a question are the same.

4. 52 + 54 + 54 + 55 + 52 ………… In number 1, there are three 80s

which are 240 and another
5. 39 + 35 + 36 + 37 …………
2 + 3 + 5, so the answer is 250.
6. 29 + 25 + 24 + 23 + 26 …………

7. 38 + 34 + 34 …………

8. 26 + 26 + 26 + 26 + 26 …………

9. 90 + 93 + 98 …………

10. 39 + 37 + 33 + 32 + 37 …………

11. 53 + 55 + 56 + 54 + 53 …………

12. 19 + 16 + 14 …………

13. 15 + 13 + 16 + 12 + 14 …………

14. 17 + 16 + 16 + 18 …………

15. 49 + 46 + 48 …………

16. 38 + 36 + 37 …………

17. 29 + 27 + 26 + 25 + 25 …………

18. 129 + 125 + 128 …………

19. 82 + 83 + 86 + 89 + 82 …………

20. 92 + 91 + 93 + 94 + 92 …………

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 Add several numbers
Maths worksheets from urbrainy.com

Without doing any written working, answer the following questions:

1. 37 + 38 +35 …………

2. 28 + 26 + 27 …………
You will notice with these
3. 27 + 23 + 28 + 21 + 27 ………… sums that the tens of all the
numbers in a question are the
4. 49 + 48 + 46 ………… same.
5. 17 + 19 + 13 + 19 + 17 ………… In number 1, there are three
30s which are 90 and another
6. 49 + 42 + 43 + 45 + 48 …………
7 + 8 + 5, so the answer is
7. 52 + 54 + 52 ………… 110.
8. 68 + 65 + 63 …………

9. 16 + 18 + 17 + 14 + 19 …………

10. 63 + 67 + 62 + 63 + 64 …………

11. 54 + 53 + 58 + 53 +55 …………

12. 35 + 35 + 38 …………

13. 38 + 34 + 36 + 38 + 32 …………

14. 57 + 56 + 54 …………

15. 26 + 27 + 25 …………

16. 53 + 57 + 58 …………

17. 53 + 52 + 59 + 59 + 57 …………

18. 49 + 48 + 43 …………

19. 12 + 17 + 18 + 15 + 18 …………

20. 74 + 73 + 78 + 79 + 72 …………

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 Adding on with decimals
Maths worksheets from urbrainy.com

Without doing any written working, give the answers to these questions:
1. What must be added to 6.87 to make 7 ? …………..

2. What must be added to 2.48 to make 3 ? …………..

3. What must be added to 7.84 to make 8 ? …………..

4. What must be added to 5.92 to make 6 ? …………..

5. What must be added to 3.87 to make 4 ? …………..

6. What must be added to 8.73 to make 9 ? …………..

7. What must be added to 9.26 to make 10 ? …………..

8. What must be added to 5.32 to make 6 ? …………..

9. What must be added to 7.77 to make 8 ? …………..

10. 5.72 + =6
More of those
decimal sums.
11. 5.57 + =6
Think carefully
about what is
12. 4.27 + =5 happening in the
tenths and
hundredths
13. 1.94 + =2

14. 5.50 + =6

15. 3.60 + =4

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 Adding on with decimals
Maths worksheets from urbrainy.com

Without doing any written working, give the answers to these questions:
1. What must be added to 8.42 to make 9 ? …………..

2. What must be added to 5.37 to make 6 ? …………..

3. What must be added to 9.41 to make 10 ? …………..

4. What must be added to 5.77 to make 6 ? …………..

5. What must be added to 8.28 to make 9 ? …………..

6. What must be added to 2.41 to make 3 ? …………..

7. What must be added to 5.62 to make 6 ? …………..

8. What must be added to 8.72 to make 9 ? …………..

9. What must be added to 4.89 to make 5 ? …………..

10. 8.25 + =9 More decimals.

11. 7.46 + =8 Very important with

money and stuff
like that!
12. 9.33 + = 10
Easy!
13. 4.65 + =5

14. 4.26 + =5

15. 8.62 + =9

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 Adding on with decimals
Maths worksheets from urbrainy.com

Without doing any written working, give the answers to these questions:

1. What must be added to 5.47 to make 5.5 ? …………..

2. What must be added to 3.88 to make 3.9 ? …………..

3. What must be added to 3.92 to make 4.0 ? …………..

4. What must be added to 2.87 to make 2.9 ? …………..

5. What must be added to 3.33 to make 3.4 ? …………..

6. What must be added to 7.45 to make7.5 ? …………..

7. What must be added to 2.65 to make 2.7 ? …………..

Tricky sums,
these.
8. What must be added to 9.38 to make 9.4 ? ………….. Think about the
digits in the
tenths and
9. What must be added to 8.73 to make 8.8 ? ………….. hundredths
columns.
10. 4.68 + = 4.7

11. 1.27 + = 1.3

12. 3.77 + = 3.8

13. 4.97 + = 5.0

14. 3.92 + = 4.0

15. 2.63 + = 2.7

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 Adding on with decimals
Maths worksheets from urbrainy.com

Without doing any written working, give the answers to these questions:

1. What must be added to 3.22 to make 3.3 ? …………..

2. What must be added to 3.84 to make 3.9 ? …………..

3. What must be added to 1.11 to make 1.2 ? …………..

4. What must be added to 4.33 to make 4.4 ? …………..

5. What must be added to 7.51 to make 7.6 ? …………..

6. What must be added to 8.32 to make 8.4 ? …………..

7. What must be added to 3.26 to make 3.3 ? …………..

8. What must be added to 9.54 to make 9.6 ? …………..

9. What must be added to 1.26 to make 1.3 ? …………..

10. 7.38 + = 7.4 Nearly there. I can

see the end of the
module from here!
11. 2.63 + = 2.7

12. 8.22 + =8.3

13. 4.57 + = 4.6

14. 6.25 + = 6.3

15. 9.41 + = 9.5

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 Revise written addition of decimals and large numbers
Maths worksheets from urbrainy.com

When adding using decimals it is very important that the decimal

points should line up under each other.

If the sum also involves whole numbers it is a good idea to put a

decimal point after the whole number followed by a zero.

Example: add 56.1 + 4.78 + 215 56 .10

4 .78
215.00
275.88

It is crucial that the decimal points

are kept in line.

Try adding these:

1) 73.86 2) 567.0 3) 7.88 4) 78.60 5)615.1

1.7 3.22 23.3 38.9 18.51
+ 0.68 + 57.00 + 45.89 + 19.99 + 6.33

Try adding these on the squares below:

6) 57.92 + 2.34 + 9.6 = 7) 0.95 + 0.05 + 0.4 =

8) 60 + 0.60 + 0.66 = 9) 305 + 3.05 + 30.5 =

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 Revise written addition of decimals and large numbers
Maths worksheets from urbrainy.com

Remember to line the decimals up under each other.

If the sum also involves whole numbers it is a good idea to put a decimal
point after the whole number followed by a zero.

Example: add 34.2 + 5.78 + 366 34 .20

5 .78
366.00
405.98

It is crucial that the decimal points

are kept in line.
The decimal point in the answer also
goes underneath the other decimal points.

Try adding these:

1) 22.34 + 56.4 + 430 = 2) 456.1 + 45 + 0.56 =

3) 43.88 + 0.09 + 56.35 = 4) 98.78 + 427 + 0.7 =

5) 600.56 + 59.8 + 45 = 6) 65.5 + 11.7 + 5.61 =

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 Revise written addition of decimals and large numbers
Maths worksheets from urbrainy.com

Add these numbers. Check your results by adding the columns in reverse
order. Remember the decimal in the answer, if necessary.

1) 42.4 2) 3 627 3)81.62 4)8 877 5) 6.6

+ 209.5 + 9 177 + 4.68 + 7 997 + 8.46

6)8 803 7) 0.07 8) 134 .45 9) 47.65 10) 0.08

6 227 34.9 242 .3 2.05 2.36
+ 1 398 + 7.68 + 13.98 + 63.77 + 8.80

Now try these using the squares below:

11) 0.4 + 6 + 7.49 =

Keep your decimal
12) 0.58 + 234.1 + 76.45 = points in line and you
won't get caught out!
13) 34.01 + 256.68 + 13.95 =

14) 16.62 + 2.26 + 198.77 =

15) 26 + 254.90 + 6.66 =

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 Revise written addition of decimals and large numbers
Maths worksheets from urbrainy.com

Add these numbers. Check your results by adding the columns in

reverse order. Remember the decimal in the answer, if necessary.

1) 56.4 2) 7 892 45.82

3) 4)1 066 5) 4.9
+ 188.5 + 7 719 + 8.64 + 5 536 + 7.59

6)4 099 7) 7.02 8)655.22 9) 67.85 10) 0.09

8 337 94.9 353.4 6.03 7.43
+ 9 042 + 9.78 + 90.42 + 88.47 + 0.99

Add these numbers. Remember to set them out in the same way
as those above.

11) 8 202 + 7 278 = 12) 8 933 + 4 555 =

13) 87.18 + 23.12 = 14) 89.2 + 29.29 =

15) 41.11 + 78.98 = 16) 6.9 + 0.18 =

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 Revise written addition of decimals and large numbers
Maths worksheets from urbrainy.com

Calculate the answers to the following problems using the squares below:

1) What is the total of 4 943 4 894 and 551 ?

2) A school has these numbers of children in its year groups.

Year 3 145 Year 4 145 Year 5 108 Year 6 127.
What is the total number of children in the school?

3) Sydney, in Australia has a population of 3 531 000 and Melbourne has a population of
2 965 000. What is the total population of the two cities?

4) North Island in New Zealand has an area of 114 690 sq km. South Island has an area of
150 460 sq km. What is the total area of the two islands?

5) What is the total of 7 340 5 095 and 266 ?

6) A girl went ten pin bowling. She played five games. Her scores were
97 123 104 99 and 133. What was her total score?

7) Arizona has a population of 3 489 000 and California has a population of 28 314 000.
What is the total population of the two states?

8) The Atlantic Ocean has an area of about 82 217 000 sq. km. The Pacific is even bigger,
with an area of 165 384 000 sq. km. What is the total area of the two oceans?

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 Add and subtract decimals by adjusting (1)
Maths worksheets from urbrainy.com

Add or subtract 0.9

When adding 0.9 to a number an easy way to do the sum quickly is to add 1 and then
subtract 0.1.

For instance 4.5 + 0.9 : add 1 to 4.5 which equals 5.5

then subtract 0.1 this leaves 5.4 the correct answer!

Add 0.9 to the numbers below, as quickly as you can. Just write the answers down.

1. 2.6 ………… Sometimes it is easier just to 11. 6.6 …………

add the 0.9 to a number.
2. 2.8 ………… 12. 13.6 …………
eg if there is just one tenth

3. 3.7 ………… 4.1 + 0.9 = 5 13. 11.2 …………

4. 4.9 ………… 14. 16.9 …………

5. 7.3 ………… 15. 14.7 …………

6. 14.8 ………… 16. 13.9 …………

7. 11.9 ………… 17. 5.6 …………

8. 12.0 ………… 18. 17.8 …………

9. 8.1 ………… 19. 12.9 …………

10. 14.2 ………… 20. 5.5 …………

Now try subtracting 0.9 from these numbers ( subtract 1, add 0.1):

21. 6.6 ………… 22. 7.7 ………… 23. 1.8 …………

24. 10.6 ………… 25. 5.9 ………… 26. 11.1 …………

27. 4.5 ………… 28. 5.7 ………… 29. 7.2 …………

30. 4.4 …………

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 Add and subtract decimals by adjusting (1)
Maths worksheets from urbrainy.com

When subtracting 0.9 from a number an easy way to do the calculation quickly is to subtract
1 and then add 0.1

For instance 5.2 − 0.9: subtract 1 from 5.2 which equals 4.2,

then add 0.1

this makes 4.3 the correct answer!

Subtract 0.9 from the numbers below, as quickly as you can. Just write the answers down.

1. 5.3 ………… 11. 7.2 …………

Sometimes it is easier just to
2. 9.9 ………… subtract the 0.9 from a 12. 18.1 …………
number.
3. 5.8 ………… eg 4.9 - 0.9 = 4 13. 5.2 …………

4. 3.7 ………… 14. 12.7 …………

5. 9.2 ………… 15. 10.4 …………

6. 9.6 ………… 16. 8.3 …………

7. 7.0 ………… 17. 12.6 …………

8. 5.1 ………… 18. 10.0 …………

9. 12.5 ………… 19. 11.8 …………

10. 10.4 ………… 20. 16.1 …………

Now try adding 1.9 to these numbers ( add 2, subtract 0.1):

21. 6.5 ………… 22. 10.9 ………… 23. 14.1 …………

24. 1.8 ………… 25. 2.9 ………… 26. 8.7 …………

27. 17.2 ………… 28. 13.6 ………… 29. 7.4 …………

30. 9.3 …………

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 Add and subtract decimals by adjusting (1)
Maths worksheets from urbrainy.com

Add 2.9 to each of the numbers in the boxes below:

1. 7.7

8. 4.8 2. 6.2

7. 7.5 +2.9 3. 4.3

6. 6.1 4. 4.4

5. 3.6

Take 2.9 from each of the numbers in the boxes below:

9. 6.5

16. 10.4 10. 5.2

15. 17.9 - 2.9 11. 4.7

14. 4.5 12. 3.1

13. 4.8

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 Add and subtract decimals by adjusting (1)
Maths worksheets from urbrainy.com

Add 5.8 to each of the numbers in the boxes below:

1. 4.6

8. 9.9 2. 2.7

7. 4.2 +5.8 3. 3.5

6. 8.3 4. 5.9

5. 7.8

Take 5.8 from each of the numbers in the boxes below:

9. 7.7

16. 6.2 10. 8.6

15. 8.7 - 2.9 11. 10.3

14. 14.4 12. 9.2

13. 8.0

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 Add or subtract decimals by adjusting (2)
Maths worksheets from urbrainy.com

Add 8.9 to each of the numbers below. Write answers only.

1.
6.2
2.
7.2

3.
4.4
4.
4.8
5.
1.2

6.
7.9
8.
7.
6.8 4.5

10.
9.
8.6 8.1

Name: Page 1

51
 Add or subtract decimals by adjusting (2)
Maths worksheets from urbrainy.com

Add 7.9 to each of the numbers below. Write answers only.

1.
5.7
2.
7.4

3.
6.6
4.
6.2
5.
8.8

6.
7.3
8.
7.
5.8 6.1

10.
9.
9.5 8.9

Name: Page 2

52
 Add or subtract decimals by adjusting (2)
Maths worksheets from urbrainy.com

Take 3.7 from each of the numbers below. Write answers only.

1.
8.5
2.
4.4

3.
6.2
4.
8.7
5.
10.2

6.
3.9
8.
7.
7.4 7.8

10.
9.
6.6 4.3

Name: Page 3

53
 Add or subtract decimals by adjusting (2)
Maths worksheets from urbrainy.com

Take 4.8 from each of the numbers below. Write answers only.

1.
9.4
2.
5.3

3.
7.2
4.
8.5
5.
6.1

6.
12.9
8.
7.
10.4 14.8

10.
9.
14.7 11.6

Name: Page 4

54
 Mixed addition and subtraction of decimals
Maths worksheets from urbrainy.com

Addition and Subtraction of decimals

Without doing any working out on paper, write the answers to these
questions:

1. 0.3 + 0.59 = 2. 0.2 + 0.07 =

3. 0.27 − 0.1 = 4. 0.93 − 0.9 =

5. + 0.7 = 0.91 6. + 0.53 = 0.93

7. − 0.04 = 0.45 8 . − 0.06 = 0.5

9. 0.5 − = 0.23 10. 0.9 − = 0.66

11. 0.44 − = 0.2 12. 0.71 − = 0.1

Take your time with these- it's easy

to make a mistake!

13. 0.4 + 0.26 = 14. 0.8 + 0.18 =

15. 0.5 - 0.25 = 16. 0.6 - 0.32 =

Name: Page 1

55
 Mixed addition and subtraction of decimals
Maths worksheets from urbrainy.com

Addition and Subtraction of decimals

Without doing any working out on paper, write the answers to these
questions:

1. 0.5 + 0.38 = 2. 0.4 + 0.01 =

3. 0.54 − 0.3 = 4. 0.78 − 0.6 =

5. + 0.4 = 0.68 6. + 0.71 = 0.88

7. − 0.06 = 0.32 8 . − 0.08 = 0.7

9. 0.8 − = 0.11 10. 0.7 − = 0.44

11. 0.22 − = 0.1 12. 0.99 − = 0.11

Nearly finished ? Consider yourself

an expert decimal dude!

(Unlike me!)

13. 0.8 + 0.12 = 14. 0.5 + 0.09 =

15. 0.7 − 0.18 = 16. 0.3 − 0.09 =

Name: Page 2

56
 Written subtraction of decimals
Maths worksheets from urbrainy.com

Extending subtraction to decimals

Please use pencil and paper methods of working out for all these:

1. 7.45 2. 8.21 3. 5.35 4. 8.50

− 6.80 − 2.66 − 3.76 − 1.99

5. 26.45 6. 65.70 7. 65.33 8. 51.75

− 13.78 − 28.85 − 35.90 − 45.95

9. 75.29 10. 12.50 11. 54.70 12. 73.15

− 3.70 − 4.66 − 9.86 − 9.55

13. 49.35 14. 82.60 15. 51.34 16. 66.06

− 7.85 − 9.96 − 17.68 − 9.95

Work out the answers to the following subtraction calculations,

using pencil and paper methods, showing all working out:

17. 17.75 − 10.88 18. 56.07 − 21.08

19. 78.44 − 62.37 20. 81.86 − 35.90

Name: Page 1

57
 Written subtraction of decimals
Maths worksheets from urbrainy.com

Extending subtraction to decimals

Please use pencil and paper methods of working out for all these:

1. 8.56 2. 9.32 3. 6.46 4. 9.61

− 5.70 − 1.55 − 4.90 − 2.08

5. 37.34 6. 76.81 7. 46.44 8. 62.86

− 24.67 − 37.74 − 28.80 − 34.84

9. 26.18 10. 23.60 11. 65.81 12. 62.26

− 4.90 − 5.77 − 4.78 − 6.78

13. 38.52 14. 71.50 15. 62.45 16. 77.03

− 2.73 − 8.82 − 28.57 − 7.04

Work out the answers to the following subtraction calculations,

using pencil and paper methods, showing all working out:

17. 28.66 − 21.99 18. 67.08 − 32.19

19. 74.88 − 28.89 20. 92.97 − 46.39

Name: Page 2

58
 Practice pages. Subtraction with decimals Page 1
Maths worksheets from urbrainy.com

Use the standard, efficient method of subtraction.

1. 8.6 2. 6.7 3. 3.2 4. 5.5 5. 4.3

– 3.2 – 3.2 – 1.6 – 4.7 – 1.4

6. 6.8 7. 9.5 8. 9.9 9. 4.6 10. 6.8

– 2.4 – 1.9 – 0.5 – 4.5 – 4.9

11. 6.8 12. 3.6 13. 2.6 14. 6.2 15. 2.7
– 5.2 – 3.0 – 0.7 – 3.1 – 1.3

16. 8.5 17. 7.5 18. 6.4 19. 7.1 20. 7.7
– 4.4 – 4.7 – 2.3 – 5.3 – 3.5

21. 6.3 22. 8.6 23. 7.3 24. 3.7 25. 6.4
– 3.9 – 5.2 – 5.7 – 2.8 – 3.9

59
Practice pages. Subtraction with decimals Page 2
Maths worksheets from urbrainy.com

Use the standard, efficient method of subtraction.

1. 9.6 – 6.6 2. 9.4 – 5.9 3. 5.6 – 3.7

4. 9.6 – 9.2 5. 7.7 – 2.4 6. 5.2 – 2.3

7. 7.4 – 5.5 8. 6.8 – 5.9 9. 5.8 – 3.4

10. 8.5 – 6.5 11. 9.7 – 5.9 12. 5.5 – 3.8

13. 8.5 – 6.9 14. 5.4 – 4.6 15. 7.5 – 2.8

16. 6.4 – 4.7 17. 7.9 – 4.6 18. 8.5 – 4.7

19. 5.3 – 1.6 20. 4.3 – 4.1 21. 8.9 – 4.5

22. 7.3 – 2.9 23. 7.1 – 4.3 24. 8.5 – 3.3

25. 9.3 – 4.3

60
Practice pages. Subtraction with decimals Page 3
Maths worksheets from urbrainy.com

Use the standard method of written subtraction.

1. 80.5 2. 40.6 3. 80.4 4. 40.9 5. 40.0

– 7.5 – 8.4 – 8.0 – 7.7 – 5.7

6. 60.3 7. 80.8 8. 50.5 9. 40.7 10. 60.4

– 7.6 – 3.7 – 7.4 – 3.8 – 5.6

11. 75.0 12. 63.0 13. 75.0 14. 64.0 15. 75.0
– 5.3 – 5.4 – 8.8 – 5.4 – 3.8

16. 40.0 17. 74.0 18. 10.0 19. 99.0 20. 54.0
– 9.3 – 7.6 – 6.4 – 9.3 – 2.2

21. 90.7 22. 80.4 23. 40.6 24. 90.5 25. 90.7
– 4.3 – 5.8 – 3.8 – 8.3 – 4.7

61
Practice pages. Subtraction with decimals Page 4
Maths worksheets from urbrainy.com

Use the standard method of written subtraction.

1. 90.2 – 2.1 2. 30.9 – 5.3 3. 70.0 – 7.4

4. 60.3 – 9.6 5. 30.6 – 6.5 6. 80.3 – 5.8

7. 40.0 – 6.5 8. 40.0 – 9.6 9. 50.0 – 5.3

10. 50.9 – 5.5 11. 40.3 – 7.3 12. 90.2 – 7.5

13. 90.0 – 7.9 14. 50.4 – 8.8 15. 40.4 – 9.6

16. 20.4 – 5.7 17. 90.8 – 4.6 18. 80.8 – 5.5

19. 60.6 – 6.4 20. 50.5 – 3.3 21. 50.5 – 4.2

22. 50.8 – 4.1 23. 50.3 – 9.2 24. 50.3 – 8.4

25. 80.4 – 5.9

62
Practice pages. Subtraction with decimals Page 5
Maths worksheets from urbrainy.com

Use the standard method of written subtraction.

£ £ £ £ £
1. 7.95 2. 8.46 3. 9.37 4. 8.68 5. 8.43
– 3.46 – 7.28 – 7.44 – 8.48 – 3.64

£ £ £ £ £
6. 7.78 7. 3.06 8. 6.55 9. 9.45 10. 9.04
– 5.53 – 0.64 – 4.82 – 6.02 – 5.08

£ £ £ £ £
11. 6.08 12. 6.04 13. 9.09 14. 6.07 15. 4.08
– 4.80 – 5.90 – 1.50 – 2.70 – 3.20

£ £ £ £ £
16. 6.00 17. 7.04 18. 6.06 19. 3.00 20. 8.05
– 5.20 – 5.30 – 5.60 – 2.70 – 3.20

£ £ £ £ £
21. 6.00 22. 7.00 23. 6.00 24. 9.00 25. 7.00
– 3.86 – 2.95 – 2.47 – 5.77 – 3.63

63
Practice pages. Subtraction with decimals Page 6
Maths worksheets from urbrainy.com

Use the standard method of written subtraction.

1. 48.3 – 34.6 2. 38.5 – 28.4 3. 29.0 – 18.4

4. 59.8 – 4.8 5. 58.2 – 3.8 6. 55.8 – 4.4

7. 58.3 – 4.8 8. 30.6 – 2.4 9. 50.0 – 4.3

10. 30 – 3.5 11. 40 – 3.8 12. 40 – 2.6

13. 50 – 4.7 14. 60 – 5.2 15. 70 – 3.9

16. 500 – 27.8 17. 400 – 26.3 18. 800 – 25.0

19. 800 – 56.8 20. 900 – 42.6 21. 300 – 33.4

22. 400 – 14.2 23. 400 – 25.5 24. 300 – 36.2

25. 400 – 37.9

64
 Practice pages. Multiply 2-digit numbers by 2-digit numbers Page 1
© mathsphere.co.uk Worksheets provided by URBrainy.com

1. 45 2. 23 3. 48 4. 37 5. 26
× 63 × 54 × 84 × 27 × 48

6. 82 7. 43 8. 23 9. 63 10. 82
× 63 × 32 × 23 × 75 × 33

11. 36 12. 35 13. 74 14. 24 15. 53

× 13 × 37 × 43 × 37 × 82

16. 37 17. 73 18. 25 19. 52 20. 73

× 53 × 22 × 53 × 66 × 73

21. 63 22. 44 23. 63 24. 28 25. 43

× 35 × 57 × 38 × 40 × 45

65
 Practice pages. Multiply 2-digit numbers by 2-digit numbers Page 2
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1. 14 2. 62 3. 39 4. 14 5. 61
× 17 × 61 × 20 × 43 × 23

6. 53 7. 88 8. 30 9. 10 10. 32
× 22 × 34 × 65 × 48 × 25

11. 39 12. 79 13. 41 14. 50 15. 43

× 52 × 53 × 66 × 83 × 25

16. 83 17. 46 18. 24 19. 57 20. 82

× 49 × 14 × 50 × 51 × 84

21. 53 22. 15 23. 74 24. 30 25. 32

× 34 × 44 × 36 × 57 × 77

66
 Practice pages. Multiply 2-digit numbers by 2-digit numbers Page 3
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1. 34 2. 19 3. 72 4. 99 5. 73
× 87 × 53 × 54 × 42 × 67

6. 81 7. 38 8. 79 9. 66 10. 39
× 45 × 41 × 16 × 28 × 81

11. 40 12. 94 13. 47 14. 42 15. 86

× 73 × 51 × 15 × 25 × 89

16. 55 17. 39 18. 53 19. 67 20. 45

× 57 × 75 × 88 × 61 × 12

21. 63 22. 41 23. 46 24. 15 25. 13

× 22 × 19 × 14 × 43 × 26

67
 Practice pages. Multiply 2-digit numbers by 2-digit numbers Page 4
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1. 73 2. 18 3. 13 4. 74 5. 55
× 11 × 16 × 14 × 30 × 20

6. 21 7. 79 8. 25 9. 39 10. 21
× 24 × 35 × 73 × 41 × 42

11. 56 12. 46 13. 19 14. 38 15. 72

× 32 × 54 × 28 × 51 × 45

16. 57 17. 86 18. 58 19. 99 20. 60

× 10 × 61 × 17 × 62 × 22

21. 64 22. 11 23. 23 24. 31 25. 15

× 53 × 22 × 38 × 30 × 22

68
 Practice pages. Multiply 2-digit numbers by 2-digit numbers Page 5
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1. 17 2. 12 3. 26 4. 21 5. 14
× 17 × 22 × 63 × 25 × 64

6. 66 7. 18 8. 76 9. 12 10. 80
× 98 × 72 × 59 × 32 × 22

11. 53 12. 46 13. 26 14. 72 15. 30

× 98 × 53 × 45 × 40 × 41

16. 31 17. 22 18. 55 19. 24 20. 29

× 23 × 31 × 39 × 33 × 45

21. 37 22. 39 23. 40 24. 42 25. 44

× 64 × 47 × 13 × 48 × 57

69
 Practice pages. Multiply 2-digit numbers by 2-digit numbers Page 6
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1. 51 2. 32 3. 53 4. 62 5. 53
× 91 × 55 × 14 × 56 × 35

6. 57 7. 52 8. 58 9. 66 10. 59
× 77 × 60 × 85 × 16 × 12

11. 23 12. 35 13. 24 14. 95 15. 77

× 83 × 65 × 90 × 23 × 11

16. 84 17. 23 18. 53 19. 25 20. 62

× 36 × 73 × 26 × 53 × 72

21. 34 22. 26 23. 72 24. 44 25. 80

× 42 × 15 × 13 × 43 × 12

70
 6423 Revise multiplication: quick questions Page 1
© mathsphere.co.uk Worksheets provided by URBrainy.com

Quick Question Sheet

Answer these questions.

You need to be quick

accurate
neat.

1. Which are true?:

a) 9.6 × 6.7 = 6.7 × 9.6 b) 1.3 × 7 × 6.7 = 6.7 × 7 × 1.3

c) 23 × (34 + 16) = (23 × 34) + 16

d) 4.7 × 9 = (4 + 0.7) × 9 e) (1.3 × 5) × 10 = 1.3 × (5 × 10)

2. Calculate:

a) 9.7 × 1 b) 1 × 87.6 c) 8.5 × 45.6 × 0 × 5.4

d) 1.5 + 1.5 + 1.5 + 1.5 + 1.5 +1.5 + 1.5 + 1.5 + 1.5 + 1.5

e) (8.6 × 0) + (0 × 4.4) + 3.4

3. Which are true?

a) 8.6 × 2.3 is greater than 8.6 b) 0 × 8.4 is equal to 8.4

c) 9.6 × 0.6 is less than to 9.6 d) If 4.3 × 6 = 25.8, then 25.8 ÷ 6 = 4.3

e) If 16.38 ÷ 4.2 = 3.9, then 4.2 × 3.9 = 16.38

f) If 32 × 32 = 1 024, then 1 024 ÷ 32 = 32

71
 6423 Revise multiplication: quick questions Page 2
© mathsphere.co.uk Worksheets provided by URBrainy.com

Quick Question Sheet

Answer these questions.

You need to be quick

accurate
neat.

1. Fill in the boxes:

a) 1.2 × 5 = b) 23 × 7 = c) 5 × = 125

d) 8 × 2.4 = e) 10 × 4.7 = f) 16 × = 48

g) 4 × 23 + = 108 h) 50 + ( × 2) = 55

2. Using a calculator, fill in the boxes.

a) 23.7 × 95 = b) × = 0.4

c) × 100 = 6.56 d) 45 × = 4.5

72
 6423 Revise multiplication: quick questions Page 3
© mathsphere.co.uk Worksheets provided by URBrainy.com

Quick Question Sheet

Answer these questions.

You need to be quick

accurate
neat.

1. Which are true?

a) 0.6 × 8 = 8 + 0.6 b) (23 × 52) + 9 = 23 + (52 × 9)

c) (1 × 9) × 5.8 = 12 × (9 × 5) d) 8.9 × 6 = (8 + 0.9) × 6

e) (8.4 × 5.6) × 0 = 8.4 × (0 × 5.6)

2. Calculate:

a) 4.56 × 1 b) 1 × 0.03 c) 0 × 9.4 × 5.6 × 0.03

d) 2.5 + 2.5 + 2.5 + 2.5 + 2.5 +2.5 e) (0 × 8.6) + (6.7 × 0) + 4.5

3. Which are true?

a) 0.5 × 26 is greater than 2 b) 0 + 0.03 is equal to 0.03

c) 9.9 × 1 is greater than 9.9 d) If 76 × 22 = 1 672, then 1 672 ÷ 22 = 76

e) If 6.5 ÷ 0.5 = 13, then 13 × 6.5 = 0.5

f) If 8.5 × 8.5 = 72.25, then 72.25 ÷ 8.5 = 8.5

73
 6423 Revise multiplication: quick questions Page 4
© mathsphere.co.uk Worksheets provided by URBrainy.com

Quick Question Sheet

Answer these questions.

You need to be quick

accurate
neat.

1. Fill in the boxes:

a) 1.4 × 3 = b) 4.5 × 4 = c) 32 × = 320

d) 4.5 × 8 = e) 6 × 1.5 = f) 12 × = 120

g) 55 × 4 + = 234 h) 58 + ( × 4) = 60

2. Using a calculator, fill in the boxes.

a) 45.7 × 7.5 = b) × = 24.8

c) × 327 = 8 502 d) 8 × = 18.4

74
 6301 Revise multiplication and square numbers Page 1
© mathsphere.co.uk Worksheets provided by URBrainy.com

Knowing your tables is Yes, very, very, very Extremely important,

very, very important. important!!!!!!! in fact.

Take this opportunity to see which table facts you know really well.

Fill in all the table facts you know without straining your brain.

× 9 2 5 1 10 6 3 7 4 8
4
8
1
10
5
2
9
6
3
7

Now write down all the ones you are not sure about and ask someone to test you
until you know them all.

75
 6301 Revise multiplication and square numbers Page 2
© mathsphere.co.uk Worksheets provided by URBrainy.com

Here are some questions about the

table square.

How quickly can you answer them?

1.
a. How many eights are there in 40 ?

b. How many sixes are there in 24 ?

c. How many fives are there in 35 ?

d. How many fours are there in 36 ?

e. How many threes are there in 33 ?

f. How many fives are there in 45 ?

g. How many sevens are there in 56 ?

2. You should learn the squares of all the numbers up to 13. Try these:

a. 02 = b. 12 = c. 22 = d. 32 = e. 42 = f. 52 =
g. 62 = h. 72 = i. 82 = j. 92 = k. 102 = l. 112 =
m. 122 = n. 132 =

3. Use the square numbers that you know to work out these:

Eg. 302 = 30 × 30 = 3 × 3 × 10 × 10
= 9 × 100 = 900
Amazing, really!

a. 202 = b. 502 = c. 302 = d. 402 = e. 702 = f. 602 =

g. 102 = h. 802 = i. 902 = j. 1002 =

76
 6301 Revise multiplication and square numbers Page 3
© mathsphere.co.uk Worksheets provided by URBrainy.com

Here are some more questions

about the table square.

How quickly can you answer them?

1.
a. How many sixes are there in 36 ?

b. How many threes are there in 27 ?

c. How many sevens are there in 42 ?

d. How many twos are there in 18 ?

e. How many fours are there in 28 ?

f. How many eights are there in 48 ?

g. How many fives are there in 45 ?

2. You should learn the squares of all the numbers up to 13. Try these:

a. 62 = b. 132 = c. 12 = d. 42 = e. 112 = f. 52 =
g. 72 = h. 02 = i. 92 = j. 22 = k. 32 = l. 122 =
m. 82 = n. 102 =

3. Use the square numbers that you know to work out these:

Eg. 402 = 40 × 40 = 4 × 4 × 10 × 10
= 16 × 100 = 1 600
Amazing, really!

a. 702 = b. 402 = c. 902 = d. 202 = e. 302 = f. 802 =

g. 602 = h. 502 = i. 1002 = j. 102 =

77
 6301 Revise multiplication and square numbers Page 4
© mathsphere.co.uk Worksheets provided by URBrainy.com

Here are some questions about the table square. Answer them as quickly and
accurately as possible. Can you beat your friends and still get them all right?

1.
a. What are nine sevens? b. How many sixes are there in 18 ?
c. What is eight times seven? d. What is five multiplied by nine?
e. What are three sixes? f. What is 48 divided by 8 ?
g. What is 7 multiplied by 5? h. How many fours are there in 28 ?
i. How many sixes are there in 60 ? j. Multiply 9 by 5.

2.
a. What are eight fours? b. How many fives are there in 35 ?
c. What is seven times seven? d. What is 7 multiplied by 8?
e. What are six nines? f. What is 32 divided by 8 ?
g. What is 9 multiplied by 7? h. How many 3s are there in 27 ?
i. How many eights are there in 72 ? j. Multiply 8 by 8.

Here are some harder questions.

You will have to
think hard to answer
these!
3.
a. What is 0.9 multiplied by 6? b. What is 0.6 × 7 ?
c. Multiply 0.4 by 0.7 d. What is 8 multiplied by 0.7 ?
e. Divide 3.2 by 8 f. Divide 63 by 9
g. What is 1/10 of 480 ? h. What is 440 shared between 8 ?
i. Divide 4 into 72 j. Multiply 0.7 by 3.

4.
a. What is 72 ? b. What is the square root of 144 ?
c. What is 132 ? d. What is the square root of 121 ?
e. What is half the square root of 64 ? f. What is 82 ?
g. What is the square root of 81 ? h. What is 102 ?
i. What is 122 ? j. What is 92 ?

78
 6309 Multiply decimals by 10 and 100 Page 1
© mathsphere.co.uk Worksheets provided by URBrainy.com

Multiply a decimal fraction by ten and one hundred

Remember: to multiply by ten move

each digit one place to the left, including
from the tenths to the units - there will
not be any noughts in some of these
answers!!

Complete these written questions:

1. 4.8 x 10 = 2. 9.6 x 10 =

3. 7.2 x 100 = 4. 6.4 x 100 =

5. 8.6 x 10 = 6. 1.3 x 10 =

7. 6.8 x 100 = 8. 3.2 x 100 =

9. 7.4 x = 74 10. 0.5 x = 50

11. 10 x = 7 12. 100 x = 990

13. 10 x = 66 14. 100 x = 720

79
 6309 Multiply decimals by 10 and 100 Page 2
© mathsphere.co.uk Worksheets provided by URBrainy.com

Multiply a decimal fraction by ten and one hundred

This is where you really must move the

digits one place to the left, including
from the tenths to the units.

Don't just 'add a nought' pleaseeeeee!!

Complete these written questions:

1. 3.4 x 10 = 2. 4.6 x 10 =

3. 5.2 x 100 = 4. 6.7 x 100 =

5. 7.1 x 10 = 6. 8.4 x 10 =

7. 9.3 x 100 = 8. 2.9 x 100 =

9. 3.4 x = 340 10. 4.1 x = 41

11. 10 x = 33 12. 10 x = 126

13. 100 x = 440 14. 100 x = 630

80
 6309 Multiply decimals by 10 and 100 Page 3
© mathsphere.co.uk Worksheets provided by URBrainy.com

Multiplying decimal fractions by 10 and 100

Multiply all these fractions by 10:

1.
1.45 x 10 3.78 x 10

2.
2.06 x 10 8.01 x 10

3. 0.55 x 10 0.84 x 10

Multiply all these fractions by 100:

4. 6.41 x 100 4.80 x 100

5. x 100
8.09 2.01 x 100

6. 9.99 x 100
5.56 x 100

0.01 x 100 0.05 x 100

7.

81
 6309 Multiply decimals by 10 and 100 Page 4
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Multiplying decimal fractions by 10 and 100

Multiply all these fractions by 10:

1.
2.87 x 10 4.18 x 10

2.
7.02 x 10 9.09 x 10

3. 0.17 x 10 0.84 x 10

Multiply all these fractions by 100:

4. 2.35 x 100 5.37 x 100

5. x 100
1.05 6.04 x 100

6. 8.88 x 100
7.55 x 100

0.02 x 100 0.08 x 100

7.

82
 6313 Multiples, factors and prime numbers Page 1
© mathsphere.co.uk Worksheets provided by URBrainy.com

MULTIPLES

Remember: you can get a MULTIPLE of a whole number by multiplying that

number by another whole number.

The answers to all your 'times tables' are multiples.

Eg 8, 12, 16, 20, etc are all MULTIPLES of 4.

12, 18, 24, 30, etc are all MULTIPLES of 6.

1. Write down the first ten multiples of 11.

2. What do you notice?

3. Which of these numbers are multiples of 7?

71, 47, 76, 49, 56

4. Write down the first ten multiples of 20.

5. What do you notice? Look especially at the tens digit.

6. Which of these numbers are multiples of 9?

36, 47, 91, 99, 92

7. Write down the first ten multiples of 12.

8. What do you notice? Is there a pattern?

9. Write down which of these numbers are multiples of 6:

25, 46, 56, 66, 76, 86, 90

10.Which of these numbers are multiples of both 3 and 5?

45, 50, 25, 15, 60, 10, 11

83
 6313 Multiples, factors and prime numbers Page 2
© mathsphere.co.uk Worksheets provided by URBrainy.com

FACTORS

Reminder: the factors of a number are those numbers that divide exactly into it, without
leaving a remainder.

Eg the factors of 20 are: 1, 2, 4, 5, 10 and 20, because:

1 x 20 = 20 and 2 x 10 = 20 and 4 x 5 = 20

Every number has a factor of 1, because 1 will divide exactly into any whole number.

Every number has itself as a factor, because any whole number will divide into itself exactly
once.

Reminder: how do you find the factors of a number?

Let's try 50:

a. First of all write down 1 and the number itself as factors.

(1, 50)

b. Then see if 2 will divide exactly into the number. The answer is yes,
2 x 25 = 50 so 2 and 25 are factors.
( 1, 2, 25, 50)

c. Then try 3. No, 3 does not go into 50 exactly.

d. Carry on with each number, 4 next.

No, 4 will not divide exactly into 50.

e. 5 will go into 50 exactly, because 5 x 10 = 50.

So 5 and 10 are both factors of 50.
( 1, 2, 5, 10, 25, 50 )
f. 6, 7 and 8 will not divide exactly into 50.

g. We have reached as far as we need to go, because 8 x 8 = 64 which is

more than 50. This means we have covered all possibilities.

The factors of 50 are 1, 2, 5, 10, 25 and 50

In the same way, find the factors of:

1. 49 2. 100 3. 67 4. 44 5. 99

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FACTORS

Remember, the factors of a number are the numbers that will divide exactly
into it, without a remainder.

If you know your tables you should find this work easy.

Find all the factors of these numbers:

1. 35

2. 21 Let's see, start with

one…..then
3. 57 two….then three….

4. 80

5. 27

6. 48

7. 31

8. 26

9. 71

10. 72

Fill in the missing factors:

11. The factors of 18 are: 1, , 3, 6, 9,

12. The factors of 36 are: 1, 2, 3, 4, 9, 12, 36

13. The factors of 19 are: ,

14. The factors of 55 are: 1, 5, , 55

15. The factors of 81 are: , 3, 9, ,

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 6313 Multiples, factors and prime numbers Page 4
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PRIME NUMBERS

1 2 3 4 5 6 7 8 9 10

11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

31 32 33 34 35 36 37 38 39 40

41 42 43 44 45 46 47 48 49 50

51 52 53 54 55 56 57 58 59 60

61 62 63 64 65 66 67 68 69 70

71 72 73 74 75 76 77 78 79 80

81 82 83 84 85 86 87 88 89 90

91 92 93 94 95 96 97 98 99 100

1. Except for the number 2, cross out all the numbers which divide by two. That is,
all the even numbers.

2. Except for the number 3, cross out all the numbers which divide by three.
(Think of your 3 times table! Some have been crossed out already!)

3. Except for the number 5, cross out all the numbers which divide by five.
( Think of your 5 times table! )

4. The next number which is not crossed off is 7. Leave that uncrossed, but go
through the square crossing off any numbers which are a multiple of 7.
( Some are crossed off already!)

5. List all the numbers which have not been crossed off. They are all the PRIME
numbers up to 100. Check you have them correctly written down.

6. Try to learn this list of numbers. It will prove to be very useful later on.

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 6313 Multiples, factors and prime numbers Page 5
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PRIME NUMBERS

A number which only has factors of 1 and itself is called a PRIME NUMBER.

For example the factors of 7 are 1 and 7. There is no other way of multiplying two
whole numbers to make 7.
So 7 is a prime number.

How to find whether a larger number is prime.

There is a quick way to check whether larger numbers are prime without dividing
all lower numbers into it.

Start by seeing if the first few prime numbers will divide exactly.
These are: 2, 3, 5, 7, and 11.

There is no need to divide by any of the other numbers between one and eleven.
Example:
Is 39 a prime number?

Does 39 divide exactly by 2 ? No, because it is an odd number.

Does 39 divide exactly by 3 ? Yes, 3 x 13 = 39.
39 is not a prime number.

Is 53 a prime number?

Does 53 divide exactly by 2 ? No, because it is an odd number.

Does 53 divide exactly by 3 ? No.
Does 53 divide exactly by 5 ? No, because it does not end in 0 or 5.
Does 53 divide exactly by 7 ? No.

There is no need to go any further because 8 x 8 is 64, which is more than 53.

53 is a prime number.

1. In the same way as above check the numbers between 50 and 100 to see which
are prime. Write them down.

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 6313 Multiples, factors and prime numbers Page 6
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Problems

1. Mrs Green has 30 children in her class. She is very keen that she has groups of
equal sizes, but she does not mind how big or small the groups are. List all the
possible group sizes that she could have.

2. Mr. Hardman is the PE teacher. He hates taking class 5T because there are 29
children in this class. Explain why he might not like taking this class for a
football lesson.

3. A PERFECT NUMBER is a number where all the factors of the number (apart
from itself!) add up to the same total as the number itself.

6 is a perfect number because the factors of 6 are 1, 2, 3 and 6

1 + 2 + 3 = 6

There is only one other perfect number between 10 and 30. Can you
find it?

4. Mr and Mrs Posh are holding a magnificent wedding reception for their
daughter, Pru. They have invited 40 guests. All the tables must be the same
size and have the same number of guests on them. List the possible
combinations that they could have for their guests. For instance they could
have one huge table with all 40 guests on it.

5. Which numbers in the box below are prime?

12 21 31 55 61 81

6. The number 496 is PERFECT. Find all the factors of 496 and see if this
statement is true. Use a calculator to help you.

7. A piece of paper has an area of 24 sq cm. If the sides are an exact number of
cm., what possible lengths could the paper be?

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 6314 Square and cube numbers Page 1
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Square numbers

Example: 32 + 42 = (3 x 3) + (4 x 4) = 9 + 16 = 25

This is pronounced 'three squared plus four squared'.

The square of the number must be worked out first, then the two answers
added.
Try these:

1. 32 + 52 = 2. 42 + 62 = 3. 72 + 72 =

4. 62 - 42 = 5. 102 - 72 = 6. 92 - 22 =

7. Which of the numbers in the box below are square numbers?

169 200 1 000 2025 18 9

8. What is the square root of 169?

Some numbers are equal to the sum of two square numbers.

For example 34 = 32 + 52

Find the two square numbers which make up these totals:

9. 74
Let's see, 5 x 5 is 25,
10. 85 that leaves 49……..
I think I might have
11. 45 cracked this!

12. 181

13. 52

14. 113

15. 40

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 6314 Square and cube numbers Page 2
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The cube of a number

Above is a 3 x 3 x 3 cube.

Altogether there are 27 cubes, because 3 x 3 x 3 = 27

3 x 3 x 3 can be written 33 for short. We say ' three cubed'.

1. How do you say 53 ? Write the words down.

2. How do you say 73 ? Write the words down.

The cube of the number 5 is 53 which equals 5 x 5 x 5 which is 125.

(Note the cube sign does not mean multiply by three!)

The cube of 6 equals 6 x 6 x 6

In the same way write down what these mean ( do not work out the answer ):

3. the cube of 8

4. the cube of 4

5. the cube of 10

6. the cube of 9

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 6314 Square and cube numbers Page 3
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The cube of a number

Work out the answers to these numbers:

1. 23 Now, 23 means
2 x 2 x 2 so ……
2. 33

3. 43

4. 13

5. 53

6. 103

You may have noticed that cube numbers start getting pretty big, pretty
quickly.

Often you will use a calculator to work out cubes.

Example; to find 53 you can press 5 x 5 x 5 =

( even quicker, you can press 5 x = = on some calculators or
5 x x = = on other calculators)

Find which way your calculator works and then work out, using the calculator
these numbers:

7. the cube of 11 8. 93 9. the cube of 13 10. 63

Some scientific calculators might have a key xy

In this case x is the number and y is the cube so, to find 73 press

7 xy 3 = and 343 should display. Good luck!!

91
 Multiplying 4-digit numbers by 2-digit numbers
Maths worksheets from urbrainy.com

Some written multiplication questions

for you, the best of luck!

1. 2. 3.
1256 7553 4232
x 14 x 15 x 16

4. 5. 6.
1268 2681 3570
x 23 x 25 x 27

7. 8. 9.
4175 5672 6830
x 34 x 36 x 38

10. 11. 12.

3076 2439 4084
x 49 x 57 x 68

Page 1

92
 Multiplying 4-digit numbers by 2-digit numbers
Maths worksheets from urbrainy.com

Some more written multiplication

questions for you. Not too bad, eh?

1. 2. 3.
3467 9764 6443
x 15 x 16 x 17

4. 5. 6.
3479 4892 5781
x 34 x 36 x 38

7. 8. 9.
6386 6783 8041
x 45 x 47 x 49

10. 11. 12.

5296 4640 6295
x 52 x 68 x 74

Page 2

93
 Multiplying 4-digit numbers by 2-digit numbers
Maths worksheets from urbrainy.com

Some more written multiplication

questions already laid out for you.
Here we go!

1. 2. 3.
4589 1975 8654
x 16 x 17 x 19

4. 5. 6.
5691 6003 7992
x 45 x 47 x 53

7. 8. 9.
8507 8994 1252
x 58 x 62 x 67

10. 11. 12.

7407 6851 8306
x 73 x 88 x 96

Page 3

94
 6310 Divide decimals by 10 and 100 Page 1
© mathsphere.co.uk Worksheets provided by URBrainy.com

Dividing by 10 and 100

Move each digit one place to the right

to divide by 10, two places to divide by
100 - including the units moving across
the decimal point into the tenths.

Try these:

1. 45 ÷ 10 = 2. 66 ÷ 10 = 3. 85 ÷ 10 =

4. 34 ÷ 100 = 5. 68 ÷ 100 = 6. 14 ÷ 100 =

7. 62 ÷ 10 = 8. 51 ÷ 10 = 9. 97 ÷ 10 =

10. 5 ÷ 100 = 11. 7 ÷ 100 = 12. 1 ÷ 100 =

13. Find one tenth of 45 14. Find one tenth of 16

15. Find one hundredth of 2 16. Find one hundredth of 22

17. Find one tenth of 3 18. Find one tenth of 6

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 6310 Divide decimals by 10 and 100 Page 2
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Dividing by 10 and 100

How do you count cows?

With a cowculator!!

Try these:

1. 65 ÷ 10 = 2. 57 ÷ 10 = 3. 76 ÷ 10 =

4. 25 ÷ 100 = 5. 59 ÷ 100 = 6. 95 ÷ 100 =

7. 53 ÷ 10 = 8. 42 ÷ 10 = 9. 88 ÷ 10 =

10. 4 ÷ 100 = 11. 6 ÷ 100 = 12. 9 ÷ 100 =

13. Find one tenth of 36 14. Find one tenth of 97

15. Find one hundredth of 1 16. Find one hundredth of 13

17. Find one tenth of 2 18. Find one tenth of 5

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 6424 Revise division Page 1
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Did you know that 16.4 divided by 4

is not the same as 4 divided by 16.4?

How can you show this with a

calculator?

Try it and see. Discuss this with your

teacher or parent.

Which of these are true?

1. 783 ÷ 9 = 9 ÷ 783 2. 672 ÷ 2 = 2 ÷ 672 3. 48 ÷ 24 = 24 ÷ 48

Which of these are true?

4. The answer to 37 ÷ 94 is greater than 1.

5. The answer to 360 ÷ 78 is smaller than 360.

6. The answer to 70 ÷ 250 is smaller than 70 and smaller than 1.

7. The answer to 840 ÷ 84 is smaller than 1.

What happens when you divide a

number by 1 ?

Can you write down the answers to these sums very quickly?

8. 6.8 ÷ 1 9. 3.4 ÷ 1 10. 12.29 ÷ 1 11. 48.3 ÷ 1 12. 75.6 ÷ 1

97
 6424 Revise division Page 2
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You cannot divide a number

by 0.

Write down which of these questions have an answer and which cannot be
worked out. Work out the ones that can be done.

1. 4.8 ÷ 0 2. 93 ÷ 0 3. 0 ÷ 24 4. 0 ÷ 16.4

5. 250 ÷ 0 × 28 6. 18.2 ÷ 5 × 6 ÷ 9 ÷ 0 7. 0 ÷38.4

Now here's a tricky one!

What happens if you divide 27.3 by 3

and then multiply the answer by 3 ?

How quickly can you work out these sums?

8. 4.8 ÷ 5 × 5 9. 2 763 ÷ 9 × 9 10. 150 ÷ 6 × 6

Is the same true if we multiply first and then divide?

11. 3.9 × 5 ÷ 5 12. 83 × 15 ÷ 15 13. 104 × 6 ÷ 6

We can use this idea to check our division sums, like this:

4.8 ÷ 4 = 1.2 Check by multiplying 4 by 1.2: 4 × 1.2 = 4.8 Yippee!

Work out these sums and check them by multiplying.

14. 8.5 ÷ 5 15. 19.2 ÷ 6 16. 480 ÷ 24 17. 6.8 ÷ 3.4

18. 9 ÷ 0.3 19. 6.4 ÷ 8 20. 29.4 ÷ 7 21. 0.88 ÷ 8

98
 6424 Revise division Page 3
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Can you say how you do your calculations?

If I wanted to halve 29.6, I would halve

29 and then halve 0.6. That makes 14.5
+ 0.3, which is 14.8.

Say how you would do these calculations and then do them:

1. Halve 15.8 2. 9.1 divided by 7 3. Find a fifth of 7 480

4. Share 385 between 5 people. 5. Divide 10 into 9.2.

6. How many groups of 36 can be made from 760 ?

7. How many lengths of 8.5 cm can you make from 90 cm?

8. What are the factors of 98 ? 9. Is 369 divisible by 9 ?

10. Write down four pairs of numbers with a quotient of 4.2.

11. Write down eight pairs of numbers with a quotient of 6.3.

Play a game with a friend. You give your friend a sum like the ones
above. Your friend tells you how to do it and then works it out. Your
friend must not do the sum until they have told you how to do it.

Then it is your friend's turn to give you a sum. Hard work, eh!

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 6424 Revise division Page 4
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1
We can find a fraction of something using division. Eg. of 8.5
5

is the same as 8.5 ÷ 5, which is 1.7.

A fraction is like a division sum.

42
means 42 ÷ 7, which is 6.
7

Work these sums out:

1 1
1. 1 of 18.5 2. of 4.2 3. of 4 761
5 7 9

1 1 1
4. of 966 5. of 28.5 6. of 204.8
7 3 8

Work these out by dividing:

39 289 366
7. = 8. = 9. =
3 17 6

4000 88 160
10. = 11. = 12. =
20 11 10

100
 Dividing: remainders as whole numbers
Maths worksheets from urbrainy.com

Try these division questions. Write

the remainders as whole numbers.

1. 24) 7314 2. 26) 4263 3. 28) 6743 4. 32) 7295

5. 33) 5326 6. 36) 2510 7. 37) 5958 8. 45) 4039

9. 54) 7630 10. 62) 5914 11. 75) 6662 12. 83) 9393

13. 69) 2884 14. 87) 3535 15. 92) 4456 16. 99) 3559

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101
 Dividing: remainders as whole numbers
Maths worksheets from urbrainy.com

Try these division questions. Don’t

forget to write the remainders as
whole numbers.

1. 25) 8226 2. 27) 3152 3. 29) 7854 4. 33) 6184

5. 34) 6437 6. 37) 1409 7. 44) 6069 8. 46) 3928

9. 48) 8741 10. 55) 4803 11. 59) 7751 12. 64) 1282

13. 66) 3995 14. 73) 2434 15. 86) 5567 16. 92) 2448

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 Long division of money
Maths worksheets from urbrainy.com

All the answers to these start with a

zero in the pounds: but don’t forget
to put in the decimal point!

1. 17) £1.87 2. 30) £6.30 3. 23) £7.13 4. 9) £3.33

5. 17) £3.40 6. 40) £11.60 7. 13) £1.69 8. 18) £2.52

9. 28) £10.64 10. 32) £7.04 11. 19) £7.22 12.14 ) £2.10

Working out:

Page 1

103
 Long division of money
Maths worksheets from urbrainy.com

All the answers to these start with a

zero in the pounds: but don’t forget
to put in the decimal point!

1. 26) £3.64 2. 35) £4.90 3. 19) £4.18 4. 15) £5.70

5. 12) £4.08 6. 28) £11.20 7. 28) £7.56 8. 31) £10.54

9. 34) £9.52 10. 13) £2.08 11. 21) £6.93 12.22 ) £3.74

Working out:

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104
 Long division of money
Maths worksheets from urbrainy.com

All the answers to these start with a

zero in the pounds: but don’t forget
to put in the decimal point!

1. 25) £2.75 2. 24) £8.16 3. 38) £5.70 4. 11) £2.42

5. 12) £3.12 6. 35) £10.85 7. 14) £4.48 8. 18) £9.54

9. 15) £9.90 10.19 ) £14.25 11. 21)£7.35 12. 11)£6.05

Working out:

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105
 Practice pages. Divide 3-digit numbers by 2-digit numbers Page 1
© mathsphere.co.uk Worksheets provided by URBrainy.com

1. 12 ) 396 2. 11 ) 638 3. 14 ) 448 4. 22 ) 682

5. 21 ) 987 6. 23 ) 782 7. 15 ) 345 8. 31 ) 775

9. 24 ) 984 10. 35 ) 805 11. 16 ) 256 12. 42 ) 882

13. 32 ) 896 14. 25 ) 675 15. 40 ) 480 16. 24 ) 792

17. 23 ) 874 18. 45 ) 990 19. 32 ) 992 20. 42 ) 798

21. 15 cartons hold a total of 645 cameras. How many are there in each
carton?

22. There are 26 classes in a school, all with the same number of pupils.
If there are 832 pupils in the school, how many pupils are there in each
class?

23. Pens are packed with fifteen to a box. How many boxes are needed to
pack 810 pens?

24. What is 782 divided by 34 ?

25. Which number, when multiplied by 24 makes 912 ?

106
 Practice pages. Divide 3-digit numbers by 2-digit numbers Page 2
© mathsphere.co.uk Worksheets provided by URBrainy.com

1. 23 ) 575 2. 24 ) 768 3. 42 ) 630 4. 32 ) 928

5. 15 ) 675 6. 23 ) 529 7. 18 ) 648 8. 25 ) 900

9. 24 ) 624 10. 36 ) 864 11. 23 ) 253 12. 24 ) 864

13. 42 ) 966 14. 41 ) 779 15. 16 ) 480 16. 32 ) 864

17. 34 ) 816 18. 50 ) 350 19. 45 ) 945 20. 32 ) 544

21. 23 cartons hold a total of 943 CDs. How many CDs are there in each
carton?

22. There are twenty three classes in a school, all with the same number
of pupils. If there are 805 pupils in the school, how many pupils are there
in each class?

23. Fire alarms are packed with twenty four to a box. How many boxes
are needed to pack 840 pens?

24. What is 828 divided by 46 ?

25. Which number, when multiplied by 35 makes 980 ?

107
 Practice pages. Divide 3-digit numbers by 2-digit numbers Page 3
© mathsphere.co.uk Worksheets provided by URBrainy.com

Division – harder examples

1. 67 ) 804 2. 38 ) 912 3. 76 ) 988 4. 27 ) 945

5. 43 ) 989 6. 28 ) 980 7. 17 ) 833 8. 37 ) 999

9. 56 ) 952 10. 46 ) 966 11. 17 ) 731 12. 28 ) 980

13. 73 ) 876 14. 58 ) 986 15. 23 ) 989 16. 67 ) 871

17. 67 ) 603 18. 35 ) 595 19. 47 ) 893 20. 67 ) 938

21. 78 crates hold a total of 858 litres of milk. How many litres are there
in each crate?

22. There are thirty eight classes in a college, each with the same number
of pupils. If there are 912 students in the college, how many students are
there in each class?

23. New books are packed with forty eight books to a box. How many
boxes are needed to pack 864 books?

24. What is 703 divided by 37 ?

25. Which number, when multiplied by 59 makes 944 ?

108
 Practice pages. Divide 3-digit numbers by 2-digit numbers Page 4
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Division – harder examples

1. 57 ) 798 2. 48 ) 912 3. 78 ) 624 4. 37 ) 888

5. 46 ) 874 6. 38 ) 646 7. 37 ) 296 8. 68 ) 816

9. 36 ) 936 10. 86 ) 774 11. 97 ) 679 12. 58 ) 928

13. 39 ) 897 14. 68 ) 952 15. 28 ) 784 16. 53 ) 901

17. 77 ) 847 18. 85 ) 935 19. 57 ) 513 20. 77 ) 924

21. 99 ) 891 22. 66 ) 924 23. 39 ) 897 24. 58 ) 928

25. Which number, when multiplied by 49 makes 882 ?

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 Practice pages. Divide 3-digit numbers by 2-digit numbers Page 5
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Division – write answers to two decimal places

(work to 3 decimal places)

1. 27 ) 898 2. 56 ) 374 3. 38 ) 921 4. 73 ) 477

5. 65 ) 733 6. 53 ) 773 7. 77 ) 633 8. 78 ) 488

9. 74 ) 836 10. 73 ) 624 11. 26 ) 772 12. 67 ) 978

13. 67 ) 567 14. 85 ) 952 15. 62 ) 972 16. 84 ) 961

17. 67 ) 922 18. 86 ) 925 19. 73 ) 547 20. 93 ) 934

21. 38 ) 644 22. 24 ) 476 23. 28 ) 704 24. 36 ) 543

25. Which number, when multiplied by 45 makes 930 ?

110
 Practice pages. Divide 3-digit numbers by 2-digit numbers Page 6
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Division – write answers to two decimal places

(work to 3 decimal places)

1. 37 ) 578 2. 47 ) 544 3. 54 ) 377 4. 35 ) 935

5. 47 ) 638 6. 65 ) 374 7. 67 ) 836 8. 14 ) 135

9. 18 ) 837 10. 63 ) 565 11. 46 ) 834 12. 37 ) 855

13. 47 ) 888 14. 45 ) 375 15. 46 ) 385 16. 76 ) 376

17. 54 ) 845 18. 43 ) 687 19. 47 ) 655 20. 83 ) 644

21. 63 ) 633 22. 36 ) 544 23. 31 ) 854 24. 38 ) 543

25. Which number, when multiplied by 54 makes 876 ?

111
 More on equivalent fractions
Maths worksheets from urbrainy.com

Equivalent fractions have the same value, even though

they have different numbers. Why?

Because when you multiply or divide both the top and

bottom numbers by the same number the fraction keeps
the same value.

Example:

eg 2 = 4 = 6 = 8 = 10 = 12
3 6 9 12 15 18

1. 3 = 6 2. 3 =
10 5 20

3. 1 = 4 4. 18 =
10 21 7

5. 8 = 2 6. = 5
7 24 6

7. 3 = 1 8. = 4
9 20 5

9. 24 = 10. 6 =
28 7 20 10

11. 15 = 5 12. 4 = 16
18 7

13. 20 = 5 14. 9 = 3
6 5

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112
 More on equivalent fractions
Maths worksheets from urbrainy.com

Equivalent fractions have the same value, even though

they have different numbers. Why?

Because when you multiply or divide both the top and

bottom numbers by the same number the fraction keeps
the same value.

Example:

eg 2 = 4 = 6 = 8 = 10 = 12
3 6 9 12 15 18

1. 6 = 2. 4 =
10 5 40 10

3. 1 = 3 4. 18 = 6
10 21

5. 9 = 6. 10 =
12 4 12 6

7. 8 = 16 8. 8 = 2
9 28

9. = 9 10. = 20
5 15 8 32

11. 21 = 7 12. 12 = 3
10 7

13. 5 = 20 14. 6 = 12
9 7

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 More on equivalent fractions
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Equivalent fractions have the same value, even though

they have different numbers.

Try simplifying these fractions

Example:

eg 10 = 2 (by dividing both 10 and 15 by 3)

15 3

1. 36 = 2. 12 =
40 10 15 5

3. 12 = 3 4. 9 = 3
28 21

5. 8 = 6. 24 =
12 3 28 7

7. 28 = 7 8. 16 = 8
36 18

9. 12 = 10. 10 =
40 16

11. 3 = 12. 6 =
24 21

13. 2 = 14. 4 =
18 16

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 6207 Improper fractions and mixed numbers Page 1
© mathsphere.co.uk Worksheets provided by URBrainy.com

1. Change to improper fractions.

1 13
E.g. 3 =
4 4

2 9 3 2 1
a) 4 b) 3 c) 4 d) 5 e) 8
7 10 4 7 4

3 8 3
f) 2 g) 8 h) 7
8 15 7

2. Change to mixed numbers.

9 1
E.g. =4
2 2

17 18 15 84 19
a) b) c) d) e)
5 13 5 41 5

25 43 14
f) g) h)
7 8 5

3. Remembering that a fraction is a division sum in disguise, give answers to

these sums (cancel where your can).
4 1
E.g. What is 4 ÷ 16 ? Answer = =
16 4

7 1
E.g. What is 7 ÷ 6 ? Answer = = 1
6 6

a) 4 ÷ 12 b) 8 ÷ 3 c) 15 ÷ 7 d) 16 ÷ 5 e) 22 ÷ 4
f) 46 ÷ 11 g) 28 ÷ 6 h) 13 ÷ 15 i) 14 ÷ 21 j) 8 ÷ 24

4. What division sums could these fractions represent?

2
E.g. could be 2 ÷ 3 or 4 ÷ 6 or 10 ÷ 15 and so on.
3
3 7 2 1 2 18 4
a) b) c) 1 d) 5 e) 4 f) g)
5 8 3 4 3 21 9

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 6207 Improper fractions and mixed numbers Page 2
© mathsphere.co.uk Worksheets provided by URBrainy.com

1. Change to improper fractions.

1 13
E.g. 3 =
4 4

3 2 1 3 8
a) 3 b) 5 c) 7 d) 9 e) 4
4 6 5 5 10

5 1 3
f) 6 g) 5 h) 3
7 3 8

2. Change to mixed numbers.

9 1
E.g. =4
2 2

22 7 16 29 8
a) b) c) d) e)
15 2 3 14 5

15 22 52
f) g) h)
3 7 10

3. Remembering that a fraction is a division sum in disguise, give answers to

these sums (cancel where your can).
4 1
E.g. What is 4 ÷ 16 ? Answer = =
16 4

7 1
E.g. What is 7 ÷ 6 ? Answer = = 1
6 6

a) 7 ÷ 3 b) 6 ÷ 9 c) 5 ÷ 8 d) 12 ÷ 5 e) 14 ÷ 4
f) 6 ÷ 11 g) 5 ÷ 3 h) 9 ÷ 16 i) 6 ÷ 8 j) 18 ÷ 11

4. What division sums could these fractions represent?

2
E.g. could be 2 ÷ 3 or 4 ÷ 6 or 10 ÷ 15 and so on.
3
2 4 3 2 12 4 7
a) b) 1 c) 16 d) 15 e) f) g)
7 5 4 10 17 11 12

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 6433 Find fractions of numbers Page 1
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1. When you are doing these questions, think carefully

about how many parts make one whole.

a) How many thirds are there in one whole one?

b) How many fifths are there in one whole one?

c) How many tenths are there in one whole one?

d) How many sevenths are there in one whole one?

e) How many sixteenths are there in one whole one?

f) How many halves are there in one whole one?

g) How many thirtieths are there in one whole one?

h) How many hundredths are there in one whole one?

i) How many halves are there in three and a half?

j) How many quarters are there in four and three quarters?

k) How many sixths are there in two whole ones?

l) How many tenths are there in five and a half?

m) How many thirds are there in one and two thirds?

n) How many fifths are there in ten whole ones?

o) How many thousands are there in four and a half?

p) How many hundredths are there in one and a quarter?

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 6433 Find fractions of numbers Page 2
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1. This is very important practice. Can you do the whole

page without making a mistake?

a) How many fifths are there in one whole one?

b) How many twentieths are there in one whole one?

c) How many thousandths are there in one whole one?

d) How many ninetieths are there in one whole one?

e) How many fortieths are there in one whole one?

f) How many two hundredths are there in one whole one?

g) How many thousandths are there in three whole ones?

h) How many hundredths are there in two and a half?

i) How many sixteenths are there in two and a quarter?

j) How many thirds are there in five and two thirds?

k) How many tenths are there in four and six tenths?

l) How many elevenths are there in nine?

m) How many fiftieths are there in two and a half?

n) How many sevenths are there in eleven whole ones?

o) How many thousandths are there in three and a quarter?

p) How many quarters are there in one hundred?

118
 6433 Find fractions of numbers Page 3
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1. What is four fifths of these numbers?

a) 15 b) 25 c) 50 d) 55 e) 80 f) 200 g) 550

2. What is seven tenths of these numbers?

a) 40 b) 90 c) 100 d) 140 e) 950 f) 340 g) 260

3. What is eight hundredths of these numbers?

a) 100 b) 600 c) 1 000 d) 4 500 e) 700 f) 3 500 g) 500

4. What is one sixth of these numbers?

a) 36 b) 66 c) 90 d) 240 e) 312 f) 42 g) 366

5. What is five sixths of these numbers?

a) 12 b) 48 c) 72 d) 30 e) 480 f) 666 g) 1 200

6. What is three sevenths of these numbers?

a) 28 b) 49 c) 21 d) 84 e) 105 f) 210 g) 280

7. What is two thirds of these numbers?

a) 42 b) 72 c) 120 d) 600 e) 630 f) 135 g) 990

8. What is nine tenths of these numbers?

a) 370 b) 940 c) 360 d) 280 e) 390 f) 2 000 g) 900

9. What is seven hundredths of these numbers?

a) 1 000 b) 900 c) 1 300 d) 4 400 e) 800 f) 3 600 g) 400

10. What is five eighths of these numbers?

a) 24 b) 80 c) 32 d) 800 e) 880 f) 440 g) 240

119
 6432 Fraction word problems Page 1
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Watch out for the division sums. Don't forget

fractions are really division sums in disguise!

1. Four Maths Rats shared seven Twinkle Chocolate Bars between them.
How many bars did they have each? No remainders, please, Maths Rats
do not waste chocolate!

2. Seven children refreshed themselves with four litres of lemonade. They

had the same amount each. How much did they have each?

3. A bus travelled eight miles in three hours. What was its average speed?
Give your answer as a mixed number.

4. Car factory produces seventy cars in six hours. How many is that each
hour? Give your answer as a mixed number?

5. An oil tank is filled with 200 litres of oil in 30 seconds. How many litres
of oil per second goes into the tank? Give your answer as a mixed
number.

6. Ten machines made 100 tonnes of sugar in eight hours. What was the
average number of tonnes of sugar made by each machine in one hour?
Careful now!

7. Mrs Smith's family has the following number of cartons of milk on each
day of the week. What was the average number of cartons per day?

Sunday Monday Tuesday Wednesday Thursday Friday Saturday

4 5 3 3 4 4 3

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 6432 Fraction word problems Page 2
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1. Write these fractions to the nearest whole number.

6 15 3 4 2 1
a) 12 b) 18 c) 7 d) 18 e) f) 13
7 21 10 5 7 6

2. Write these fractions to the nearest whole number.

11 91 7 3 35 8
a) 18 b) 99 c) 21 d) 98 e) 15 f) 36
100 100 9 7 60 30

3. What fraction of one kilometre is 376 metres?

4. What fraction of one kilogramme is 839 grammes?

5. What fraction of one litre is 372 millilitres?

6. What fraction of one day is half an hour?

7. What fraction of one day is twenty hours?

8. What fraction of one day is sixteen hours?

9. What fraction of one week is three and a half days?

10. What fraction of one book of 455 pages is one chapter of 75 pages?

11. I have thirteen books on a shelf. Six of them have blue covers. What
fraction do not have blue covers?

12. What fraction of 1 Kg is 270g ?

13. What fraction of 1 litre is 545 ml?

14. What fraction of one non-leap year is the month of April?

15. What fraction of a day is the time from 1345 to 1615?

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 6432 Fraction word problems Page 3
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1. Write these fractions to the nearest whole number.

8 3 5 3 9 5
a) 25 b) 32 c) 12 d) 92 e) 3 f)
11 8 6 11 100 11

2. Write these fractions to the nearest whole number.

3 1 5 23 13 5
a) 93 b) 26 c) 32 d) 14 e) 22 f) 3
10 3 7 24 27 8

3. What fraction of one kilometre is 546 metres?

4. What fraction of one kilogramme is 132 grammes?

5. What fraction of one litre is 888 millilitres?

6. What fraction of one day is one quarter of an hour?

7. What fraction of one day is seventeen hours?

8. What fraction of one day is nine hours?

9. What fraction of one week is one hundred hours?

10. What fraction of one book of 650 pages is one chapter of 50 pages?

11. I have sixteen rabbits. Seven of them are long haired varieties. What
fraction are not long haired varieties?

12. What fraction of 1 Kg is 650g ?

13. What fraction of 1 litre is 333 ml?

14. What fraction of one non-leap year is the period from 1st March to
30th June, inclusive?

15. What fraction of a day is the time from 0800 to 1230?

122
 Ordering decimals
Maths worksheets from urbrainy.com

Ordering decimals can be pretty tricky. At first glance we

might say that 0.505 is bigger than 0.51 because there
are more digits, but it doesn’t work like that! Have a look
at my step by step method of ordering decimals.

Put these decimals in order, starting with the largest:

0.06 1.1 0.61 0.9

U . t h
Step 1: Put the numbers in a table, 0 . 0 6
making sure the decimal points line
1 . 1
up underneath each other, like this:
0 . 6 1
0 . 9

U . t h
Step 2: Fill in the empty squares
with zeros, making them all the 0 . 0 6
same length. 1 . 1 0
0 . 6 1
0 . 9 0
Step 3: Compare, starting with
the first column (units) and
writing the numbers in order.

There is a 1 in the units. All the rest are zeros, so this must be the largest number: 1.1 (or 1.10)

There is a 9 in the tenths column so 0.9 is the second largest largest: 1.1 0.9

There is a 6 in the tenths so that is next: 1.1 0.9 0.61

Which just leaves the smallest number 0.06, so the final order is:

1.1 0.9 0.61 0.06

Page 1

123
 Ordering decimals
Maths worksheets from urbrainy.com

Put these decimals in order, starting with

the largest. Use the columns to help you.

U . t h
.
1. 0.7 1.7 0.71 0.17
.
.
1. ....... ....... ....... .......
.

U . t h
.
2. 1.3 0.13 3.01 3.13
.

2. ....... ....... ....... ....... .

.

U . t h
.
3. 0.4 2.4 0.41 2.14
.

3. ....... ....... ....... ....... .

.

U . t h
.
4. 0.1 0.01 1.01 1.1
.

4. ....... ....... ....... ....... .

.

U . t h
.
5. 2.3 3.02 2.03 3.2
.
.
5. ....... ....... ....... .......
.

U . t h
.
6. 0.55 5.5 5.05 0.5 .
.
6. ....... ....... ....... ....... .

Page 2

124
 Ordering decimals
Maths worksheets from urbrainy.com

Put these decimals in order, starting with

the largest. Use the columns to help you.

U . t h
.
1. 0.14 1.04 0.41 1.4
.
.
1. ....... ....... ....... .......
.

U . t h
.
2. 9.09 0.99 0.09 9.9
.

2. ....... ....... ....... ....... .

.

U . t h
.
3. 1.2 2.01 2.21 1.12
.

3. ....... ....... ....... ....... .

.

U . t h
.
4. 0.6 0.06 0.66 6.6
.

4. ....... ....... ....... ....... .

.

U . t h
.
5. 8.1 1.08 1.8 8.01
.
.
5. ....... ....... ....... .......
.

U . t h
.
6. 0.95 5.9 5.59 5.5 .
.
6. ....... ....... ....... ....... .

Page 3

125
 6428 Decimals and fractions Page 1
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Writing decimals as fractions

Remember 0.35 can be written as a

fraction 35
100
Try these:

Write these decimals as fractions. Some you may be able to simplify.

1. 0.27 = 2. 0.45 = 3. 0.72 =

4. 0.5 = 5. 0.67 = 6. 0.80 =

7. 0.77 = 8. 0.25 = 9. 0.60 =

10. 0.99 = 11. 0.13 = 12. 0.1 =

126
 6428 Decimals and fractions Page 2
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Writing fractions as decimals

Write these fractions as decimals.
Where necessary go to two decimal places.

1. 16 = 2. 32 = 3. 20 =
100 100 100

4. 3 = 5. 55 = 6. 2 =
5 100 10

7. 17 = 8. 4 = 9. 25 =
100 100 100

10. 2 = 11. 77 = 12. 4 =

3 100 10

13. 3 = 14. 32 = 15. 1 =

5 100 3

127
 6428 Decimals and fractions Page 3
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Writing fractions as decimals

Write these fractions as decimals.
Where necessary go to two decimal places.

1. 13 = 2. 89 = 3. 50 =
100 100 100

4. 4 = 5. 6 = 6. 7 =
5 100 10

7. 11 = 8. 9 = 9. 75 =
100 100 100

10. 1 = 11. 98 = 12. 1 =

3 100 10

13. 2 = 14. 77 = 15. 2 =

5 100 3

128
 6216 Covert fractions to decimals Page 1
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Fractions and decimal fractions

Most calculators do not display fractions as you usually write them.

Remember it is easy to change fractions into decimal fractions using a

calculator.

1
means 1 divided by 2 or 1 ÷ 2.
2

Do this on a calculator: enter 1 ÷ 2 =

The answer 0.5 will come up.

1
This means that is the same as 0.5
2

In the same way, using a calculator, find the decimal fraction for these
fractions. Complete all parts of the table below.

FRACTION DECIMAL FRACTION DECIMAL

1 1
2 4

2 2
2 4

1 3
3 4

2 4
3 4
Can you see a pattern?
3
3
Can you see a pattern?

129
 6216 Covert fractions to decimals Page 2
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Converting fractions to decimals

Using a calculator complete the table below, putting in the fractions and
decimal equivalence. Look for patterns all the time - some interesting
numbers come up on your calculator!

FRACTION DECIMAL FRACTION DECIMAL

1 1
5 7
2 2
5 7

Can you see a pattern?

1
6
Look hard for a pattern in the
sevenths!

1
8

What is the pattern in the sixths?

8
8

130
 6216 Covert fractions to decimals Page 3
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Converting fractions to decimals

Continue using your calculator to find the decimal equivalence of ninths

and tenths. Fill in all the table for one ninth to nine ninths and one tenth
to ten tenths. Look for patterns all the time - some interesting numbers
come up on your calculator with the ninths!

FRACTION DECIMAL FRACTION DECIMAL

1 1
9 10
2
9

5
10

9
9
10
Can you explain the pattern in
the ninths? 10
Can you explain the pattern in
the tenths?

131
 6216 Covert fractions to decimals Page 4
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Equivalent Fractions

1 10
Having found all the decimals for fractions from to you might
2 10
have noticed that some fractions give the same decimal.
For example:
1 2
= 0.5 and also = 0.5
2 4

1 2
This means that and are equal.
2 4

In the box below write down all the fractions, up to ten tenths, that are
equal to those on the left:

FRACTION EQUIVALENT FRACTIONS

1
2

2
2

1
3

1
4

1
5

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 6429 Rounding decimals Page 1
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Rounding to the nearest tenth

When rounding to the nearest tenth
you need to look at the hundredth
digit.
If it is 5 or more round up!!

Eg 5.562 is 5.6 to the nearest tenth.

It’s the hundredths digit you need to look at.

Round each of these numbers to the nearest tenth.

1. 3.4444 2. 1.2345 3. 7.78

4. 27.59 5. 72.015 6. 8.36

7. 0.4545 8. 99.99 9. 0.17171

10. 3.3333 11. 6.66 12. 12.219

13. 7.654 14. 0.22 15. 9.09

16. 5.655 17. 1.2345 18. 2.992

133
 6429 Rounding decimals Page 2
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Rounding to the nearest tenth

When rounding to the nearest tenth
you need to look at the hundredth
digit.
If it is 5 or more round up!!

Eg 5.549 is 5.5 to the nearest tenth.

It’s the hundredths digit you need to look at.

Round each of these numbers to the nearest tenth.

1. 2.749 2. 55.55 3. 0.06

4. 31.31 5. 72.77 6. 1.11111

7. 0.505 8. 3.99 9. 0.088

10. 2.722 11. 66.66 12. 54.545

13. 6.928 14. 0.590 15. 9.99

16. 2.6111 17. 5.321 18. 7.390

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 6429 Rounding decimals Page 3
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Ninths
Ninths make an interesting
I’ve done the pattern when converted to
first for you! decimals.
Have a go at these.

Use a calculator to write these fractions as decimals and then round to 2

decimal places.

1 0.11111111 0.11 to two decimal places

1.
9
= =
2
2.
9
= = to two decimal places

3
3.
9
= = to two decimal places

4
4. = = to two decimal places
9
5
5. 9 = = to two decimal places

6
6.
9 = = to two decimal places

7
7.
9 = = to two decimal places

8
8.
9 = = to two decimal places

9
9. 9 = = to two decimal places

135
 6429 Rounding decimals Page 4
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Rounding up or down?

Make sensible decisions whether

you should round these answers up
or down to the nearest whole one,
or round to two decimal places.

You will need a calculator for this work.

1. 568 people shared the first prize of £6 000.

How much did they each receive?

2. Mrs Long had a 10 metre roll of cotton. She shared it between

her class of 32 children. How much did they each receive?

3. A box holds 850 sheets of paper. How many boxes

do I need to hold 66 000 sheets?

4. The chocolate factory makes 35 000 bars of chocolate a day.

They are packed in boxes holding 36 bars.
How many boxes are filled in a day?

5. Gran has saved £8 500 to take the family on holiday to Thailand.

The cost for one person is £1 950. How many people could she take?

6. Fisherman Jim shared 1 000 metres of fishing line between

the 30 competitors. How much line did they each receive?

7. A lightbulb lasts for 455 days. How many bulbs are needed
to light a cave for 2 000 days?

8. The school prize of £100 is given to class 6T to go ten pin bowling.

It costs £2.80. How many children could go?

136
 6215 Round decimals (2) Page 1
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Rounding to the nearest tenth

When rounding to the nearest tenth it is the hundredth column which

becomes important.

£6.00 £6.01 £6.02 £6.03 £6.04 £6.05 £6.06 £6.07 £6.08 £6.09 £6.10

6.04 is rounded down to 6.0 6.06 is rounded up to 6.1

What are these amounts to the nearest ten pence (rounding to tenths):

1. £6.74
Now we look at the
2. £2.81 hundredths!

3. £8.35

4. £8.42

5. £5.57

6. £1.23

Round these lengths to the nearest ten cm ( nearest tenth ):

7. 9.17 m 8. 4.04 m 9. 17.98 m 10. 11.54 m 11. 7.96 m

12. 2.84 m 13. 50.03 m 14. 86.99 m 15. 25.92 m 16. 3.41 m

137
 6215 Round decimals (2) Page 2
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Rounding to the nearest tenth

When rounding to the nearest tenth it is the hundredth column which

becomes important

£7.10 £7.11 £7.12 £7.13 £7.14 £7.15 £7.16 £7.17 £7.18 £7.19 £7.20

7.14 is rounded down to 7.1 7.16 is rounded up to 7.2

What are these amounts to the nearest ten pence (rounding to tenths):

1. £8.77 Each of your answers should have

a nought in the pence column!
2. £4.51 Check to see that you have!

3. £7.08

4. £12.73

5. £23.36

6. £17.77

Round these lengths to the nearest ten cm ( nearest tenth ):

7. 7.95 m 8. 2.02 m 9. 19.18 m 10. 13.76 m 11. 9.18 m

12. 4.06 m 13. 52.75 m 14. 8.02 m 15. 27.77 m 16. 5.93 m

138
 6215 Round decimals (2) Page 3
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Rounding to the nearest tenth

When rounding to the nearest tenth it is the hundredth column which

becomes important.

4.10 4.11 4.12 4.13 4.14 4.15 4.16 4.17 4.18 4.19 4.20

4.142 is rounded down to 4.1 4.163 is rounded up to 4.2

What are these lengths to the nearest tenth, or to one decimal place

1. 7.756 km
Now we look at the
2. 3.288 km hundredths!

3. 7.501 km

4. 8.455 km

5. 9.990 km

6. 7.001 km

Round these lengths to the nearest tenth ( or one decimal place ):

7. 8.08 m 8. 5.05 m 9. 16.87 m 10. 22.43 m 11. 6.17 m

12. 2.678 m 13. 4.499 m 14. 7.303 m 15. 6.606 m 16. 7.777 m

139
 6215 Round decimals (2) Page 4
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Rounding to the nearest tenth - revision

When rounding to the nearest tenth it is the hundredth column which

becomes important

7.20 7.21 7.22 7.23 7.24 7.25 7.26 7.27 7.28 7.29 7.30

7.242 is rounded down to 7.2 7.262 is rounded up to 7.3

What are these lengths to the nearest tenth ( or one decimal place ):

1. 4.616 km 4.616 km is 4 kilometres and 616

metres. That's a long way for
2. 1.029 km someone like me!!

3. 9.931 km

4. 8.949 km

5. 7.059 km

6. 0.066 km

Round these lengths to the nearest ten cm ( nearest tenth ):

7. 8.01 m 8. 9.95 m 9. 17.99 m 10. 19.98 m 11. 0.17 m

12. 6.72 m 13. 55.55 m 14. 1.09 m 15. 22.22 m 16. 7.65 m

140
 6219 Percentages Page 1
© mathsphere.co.uk Worksheets provided by URBrainy.com

27
When I see 27%, I know that means 0.27 or
100

1. Do you know what these percentages mean? Write them as a decimal

and as a fraction.

a) 87% b) 36% c) 40% d) 12% e) 5% f) 99%

2. What is 33% as a fraction approximately?

3. What is 66% as a fraction approximately?

4. Which of these percentages is equal to 0.76 ?

a) 0.76% b) 7.6% c) 76% d) 760%

5. Which of these percentages is the same as 0.08 ?

a) 0.08% b) 0.8% c) 8% d) 80%

6. This pie chart shows how children came to school:

Car Bicycle

What percentage came by car?

Walk Train

141
 6219 Percentages Page 2
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Maths Rats love pies of all kinds - apple pies, raspberry pies,
mathematical pies. Pie charts are my favourite.

1. This pie chart shows what drinks children liked:

Fizzywizzy

Doodlepops

Bubbles

Squidgy

a) What percentage does the pie chart represent altogether?

b) What percentage liked Squidgy?

c) What percentage liked Bubbles?

d) What percentage liked Fizzywizzy?

e) What percentage liked Doodlepops?

f) If 200 children are represented on the pie chart, how many children liked
Squidgy?

g) How many children liked Fizzywizzy?

142
 6219 Percentages Page 3
© mathsphere.co.uk Worksheets provided by URBrainy.com

1. This pie chart shows how people voted for their favourite animals:

All other animals

Maths Rats

a) What percentage did not vote for Maths Rats?

b) What percentage did vote for Maths Rats?

____________________________________________________________

2. Find 25% of 60. Hint: Remember 25% is the same

1
as .
4
Now find one quarter of 60.

3. Find 60% of £200

4. Find 75% of 300 metres.

5. Find 20% of 10 Kg.

6. Find 30% of 5 metres.

7. Find 5% of 150 Km

8. Find 33% of 120 (Remember that 33% is approximately one third.)

143
 Find percentages (Ref:6R2)
Maths worksheets from urbrainy.com

1. 20% of 1,400 = 2. 30% of 2,100 =

3. 40% of 3,600 = 4. 60% of 3,600 =

5. 70% of 1,400 = 6. 80% of 4,000 =

7. 90% of 1,800 = 8. 90% of 7,200 =

Name: Page 1

144
 Find percentages (Ref:6R2)
Maths worksheets from urbrainy.com

1. 20% of 1,600 = 2. 30% of 1,500 =

3. 40% of 2,000 = 4. 60% of 3,000 =

5. 70% of 2,100 = 6. 80% of 1,600 =

7. 80% of 7,200 = 8. 90% of 2,700 =

Name: Page 2

145
 Find percentages (Ref:6R2)
Maths worksheets from urbrainy.com

1. 20% of 1,800 = 2. 30% of 2,700 =

3. 40% of 1,600 = 4. 60% of 5,400 =

5. 70% of 4,200 = 6. 80% of 3,200 =

7. 90% of 3,600 = 8. 90% of 8,100 =

Name: Page 3

146
 Find percentages (Ref:6R2)
Maths worksheets from urbrainy.com

1. 20% of 2,000 = 2. 30% of 2,400 =

3. 40% of 3,200 = 4. 60% of 1,800 =

5. 70% of 5,600 = 6. 80% of 5,600 =

7. 90% of 4,500 = 8. 90% of 6,300 =

Name: Page 4

147
 Adding fractions
Maths worksheets from urbrainy.com

Hi! These addition of fractions get harder as they

go down the page. The first set are easy because
the bottom numbers are the same!
Simplify answers where possible.

3 1 2 1
1. + = 2. + =
5 5 7 7

1 4 2 2
3. + = 4. + =
8 8 6 6

Make sure you change the fractions so that the bottom numbers are the same before adding:

1 1 1 2
5. + = 6. + =
3 2 4 5

1 1 1 4
7. + = 8. + =
5 4 3 10

These fractions all add up to one or more than one whole one:

2 8 3 2
9. + = 10. + =
4 10 5 3

4 2 1 3
11. + = 12. + =
5 4 2 4

2 2 1 3
13. + = 14. + =
5 3 3 4

Name: Page 1

148
 Adding fractions
Maths worksheets from urbrainy.com

Hi! Some more addition of

fractions for you to try.
Simplify answers where possible.

3 2 4 1
1. + = 2. + =
6 6 7 7

5 2 2 2
3. + = 4. + =
8 8 9 9

Make sure you change the fractions so that the bottom numbers are the same before adding:

3 1 1 2
5. + = 6. + =
5 3 2 5

2 1 1 1
7. + = 8. + =
6 3 5 3

These fractions all add up to one or more than one whole one:

3 3 4 5
9. + = 10. + =
10 4 5 10

6 2 9 2
11. + = 12. + =
10 3 10 3

4 2 9 2
13. + = 14. + =
5 10 10 5

Name: Page 2

149
 Adding fractions
Maths worksheets from urbrainy.com

Answers

Page 1

4 3 5 2
1. 5 2. 7 3. 8 4. 3

5 13 9 11
5. 6 6. 7. 8.
20 20 15

3
9. 110 10. 1 154 11. 1 103 12. 1 14 13. 1 151 14. 1 121

Page 2

5 5 7 4
1. 6 2. 7 3. 8 4. 9

14 9 2 8
5. 15 6. 7. 8.
10 3 15

1
9. 120 10. 1 103 11. 1 154 12. 1 17
30 13. 1 14. 1 103

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150
 Harder adding fractions
Maths worksheets from urbrainy.com

Hi! These are all pretty tricky addition

problems.
Simplify answers where possible.

3 6 3 5
1. + = 2. + =
4 20 6 12

4 3 5 2
3. + = 4. + =
27 9 7 14

9 2 4 1
5.
11 + = 6. + =
22 21 7

2 3 7 6
7. + = 8. + =
3 6 8 16

3 2 1 6
9. + = 10. + =
4 5 2 10

2 8 3 2
11. + = 12. + =
3 10 4 3

3 1 3 1
13. + = 14. + =
4 2 4 3

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151
 Harder adding fractions
Maths worksheets from urbrainy.com

Hi! These are all pretty tricky addition

problems.
Simplify answers where possible.

6 4 7 10
1. + = 2. + =
14 7 11 22

1 2 5 9
3. + = 4. + =
3 4 22 11

5 3 7 2
5.
16 + = 6. + =
8 8 4

1 5 1 2
7. + = 8. + =
14 7 3 10

9 11 1 3
9. + = 10. + =
11 22 5 4

3 5 7 4
11. + = 12. + =
16 8 9 27

6 3 2 6
13. + = 14. + =
21 7 13 26

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152
 Adding mixed numbers
Maths worksheets from urbrainy.com

Hi! Let’s have a go at adding mixed

numbers. I have done one for you.

7 1 7 5 12 1
1. 6 10
+ 8 2
= 6 10
+ 8 10
= 14 10
= 15 5

2 2
2. 4 5
+ 6 4
=

1 2
3. 3 4
+ 4 5
=

2 1
4. 4 3
+ 72 =

4 1
5. 5 5
+ 42 =

2 3
6. 1 3
+ 5 4
=

1 2
7. 3 2
+ 5 3
=

2 1
8. 6 5
+ 44 =

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153
 Adding mixed numbers
Maths worksheets from urbrainy.com

Hi! Some more adding mixed

numbers. I have done one for you.

2 1 6 10 16 8
1. 5 10
+ 6 3
= 5 30
+ 6 30
= 11 30
= 11 15

1 6
2. 2 2
+ 8 10
=

2 3
3. 2 5
+ 8 4
=

2 1
4. 5 3
+ 72 =

1 4
5. 3 2
+ 5 10 =

3 1
6. 4 4
+ 8 3
=

2 2
7. 4 3
+ 9 5
=

1 3
8. 2 3
+ 54 =

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154
 Adding mixed numbers
Maths worksheets from urbrainy.com

Hi! I bet you are getting good at these,

but take your time and remember to
simplify your answer if possible.

1 2 2 2 4
1. 6 2
+ 74 = 64 + 74 = 13 4 = 14

2 1
2. 2 5
+ 62 =

3 2
3. 5 4
+ 6 3
=

7 1
4. 5 10
+ 9 2
=

7 2
5. 4 10
+ 9 3
=

1 2
6. 4 2
+ 93 =

2 4
7. 5 4
+ 9 10
=

1 4
8. 3 2
+ 8 5
=

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155
 Subtracting mixed numbers
Maths worksheets from urbrainy.com

Hi! Let’s have a go at subtracting

mixed numbers. I have done one for
you. It’s about as hard as it gets!!

24 11
1. 3
1
3
− 1 35 = 3 155 − 1159 = 50 −
15 15
= 26
15
= 115

8 1
2. 5 10
− 3 2
=

1 1
3. 9 2
− 1 5
=

1 1
4. 7 5
− 13 =

2 3
5. 9 3
− 25 =

1 1
6. 8 3
− 4 4
=

4 3
7. 5 10
− 3 4
=

1 2
8. 7 3
− 35 =

Name: Page 1

156
 Subtracting mixed numbers
Maths worksheets from urbrainy.com

Hi! Here are some more subtracting

mixed numbers. I have done one for
you.

15 1
1. 5 6
10
− 1 12 = 5 106 − 1105 = 56 −
10 10
= 41
10
= 4 10

1 1
2. 6 10
− 3 4
=

2 2
3. 5 10
− 2 3
=

1 1
4. 9 2
− 23 =

2 4
5. 5 4
− 25 =

1 1
6. 6 10
− 4 2
=

1 4
7. 5 2
− 4 10
=

2 3
8. 8 5
− 3 10 =

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157
 Subtracting fractions (harder)
Maths worksheets from urbrainy.com

Hi! These are all pretty tricky

subtraction problems.
Simplify answers where possible.

1 4 1 2
1. − = 2. − =
5 30 4 14

10 11 11 2
3. − = 4. − =
13 26 12 4

6 5 10 2
5.
7 − = 6. − =
14 11 22

8 2 7 12
7. − = 8. − =
21 7 9 27

6 1 7 2
9. − = 10. − =
7 4 14 7

4 7 5 2
11. − = 12. − =
7 14 14 7

4 2 12 5
13. − = 14. − =
11 22 26 13

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158
 Subtracting fractions (harder)
Maths worksheets from urbrainy.com

Hi! These are all pretty tricky

subtraction problems.
Simplify answers where possible.

7 3 3 1
1. − = 2. − =
9 27 14 7

6 1 3 2
3. − = 4. − =
7 21 4 14

5 1 6 6
5.
6 − = 6. − =
3 7 21

7 1 2 4
7. − = 8. − =
10 3 3 9

6 3 9 10
9. − = 10. − =
8 4 13 26

3 11 7 2
11. − = 12. − =
5 20 10 4

2 6 4 8
13. − = 14. − =
3 24 6 18

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159
 Multiplying fractions
Maths worksheets from urbrainy.com

There are 3 steps to multiplying fractions, and it is

really easy!

Have a look at the example below.

Example: Step 1: multiply the top numbers.

1 x 4 = 1x4 = 4 = 2
Step 2: multiply the bottom numbers. 2 5 2x5 10 5
Step 3: simplify the answer if needed.

4 1 8 2
1. x = 2. x =
5 2 10 3

3 3 3 6
3. x = 4. x =
4 5 5 10

1 4 1 1
5.
4 x = 6. x =
10 2 5

4 1 3 1
7. x = 8. x =
5 4 4 5

1 2 2 1
9. x = 10. x =
4 10 4 3

3 1 1 1
11. x = 12. x =
5 4 4 3

1 1 1 3
13 x = 14. x =
.
2 5 2 5

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160
 Multiplying fractions
Maths worksheets from urbrainy.com

Notice when you multiply by a fraction the answer

gets smaller. Think about it.

A half times a quarter means a half lot of a

quarter, which is an eighth!

6 1 3 3
1. x = 2. x =
8 5 9 7

1 1 5 1
3. x = 4. x =
2 8 6 3

1 3 1 5
5. x = 6. x =
4 8 3 7

7 4 2 4
7. x = 8. x =
9 5 4 10

1 1 5 2
9. x = 10. x =
3 5 8 3

5 6 1 3
11. x = 12. x =
10 9 9 7

1 2 7 7
13 x = 14. x =
.
2 8 10 9

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161
 Algebra: use simple formulae
Maths worksheets from urbrainy.com

Hi! All you need to do is work out

the answer to these formulae.
Not too tricky, and below is an
example to help you get started.

n = 10 What is 2n + 5 ?

Remember 2n means 2 x n.

Replace the n with the number 10 to make: 2 x 10 + 5

= 20 + 5 = 25 Done!
Now try these:

1. n=5 What is 6n + 7 ?

2. n = 10 What is 8n + 8 ?

3. n = 12 What is 4n − 7 ?

4. n = 16 What is 4n − 20 ?

5. p=6 What is 6 + 2p ?

6. p = 11 What is 8 + 3p ?

7. p = 20 What is 100 – 3p ?

8. p=8 What is 200 – 9p ?

Name: Page 1

162
 Algebra: use simple formulae
Maths worksheets from urbrainy.com

Hi! Some more formulae for you

to work out.
Not too tricky, and below is an
example to help you get started.

a=5 What is 4a + 10 ?

Remember 4a means 4 x a.

Replace the a with the number 5 to make: 4 x 5 + 10

= 20 + 10 = 30 Done!
Now try these:

1. a = 10 What is 3a + 20 ?

2. a=4 What is 15a + 10 ?

3. a = 15 What is 3a − 6 ?

4. a = 20 What is 5a − 15 ?

5. b=7 What is 7 + 4b ?

6. b = 14 What is 5 + 4b ?

7. b = 50 What is 100 – 2b ?

8. b=6 What is 200 – 12b ?

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163
 Algebra: use simple formulae
Maths worksheets from urbrainy.com

Hi! Work out the answer to these

formulae.
They are a little trickier, but below is
an example to help you get started.

n = 10 What is 4n + 3n ?

Remember 4n means 4 x n.

Replace the n with the number 10 to make: 4 x 10 + 3 x 10

= 40 + 30 = 70 Done!
Now try these:

1. n = 10 What is 3n + 2n ?

2. n=5 What is 15n + 2n ?

3. n = 12 What is 4n − n ?

4. n = 20 What is 6n – 2n ?

5. p=8 What is 3p + 4p ?

6. p = 15 What is 4p + 5p ?

7. p = 100 What is 450 – 2p ?

8. p = 75 What is 200 – 2p ?

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164
 Algebra: use simple formulae
Maths worksheets from urbrainy.com

Hi! Work out the answer to these

formulae.
They are a little trickier, but below
is an example to help you get

a=6 What is 4a + 3a ?

Remember 4a means 4 x a.

Replace the a with the number 6 to make: 4x6+3x6

= 24 + 18 = 42 Done!
Now try these:

1. a=4 What is 4a + 5a ?

2. a=6 What is 12a + a ?

3. a = 12 What is 5a – 2a ?

4. a = 20 What is 10a – 2a ?

5. b=9 What is 3b + 6b ?

6. b = 14 What is 5b + 2b ?

7. b = 100 What is 420 – 2b ?

8. b = 80 What is 500 – 3b ?

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165
 Algebra: solve simple equations
Maths worksheets from urbrainy.com

It’s a great idea to think of an equation

as a balance. The equals sign is the
centre or fulcrum and everything must
balance either side of it.

This is great because it means you can do things to the equation, but whatever you do on the
left hand side you must do on the right hand side.

Let’s have a look at

e.g. 2a + 3 = 13 an example.

Work out the value of a.

To do this you need to get a on its own on one side.

1. Subtract 3 from each side of the equation. This gets rid of the 3 on the left
hand side.
2a + 3 = 13
-3 -3
2a = 10 2a = 10

2. Now, to get a on its own divide each side by 2.

2a = 10 1 5

2 = 2 2a = 10
2 = 2
1 1

Answer: a = 5
If 2 times the number is 10, the number must be 10 divided by 2 which is 5.
Easy! You can often do simple equations like these ‘in your head’.

Now all you need to do is to check your answer by replacing a with your
answer.

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166
 Algebra: solve simple equations
Maths worksheets from urbrainy.com

Work out the value of a for

each of these:

1. a + 6 = 15 a=

2. 12 + a = 30
a=

3. 2a + 7 = 43
a=

4. 5a − 9 = 36
a=

5. 4a − 10 = 90
a=

6. 2a + 8 = 100
a=

Name: Page 2

167
 Algebra: solve simple equations
Maths worksheets from urbrainy.com

Work out the value of y for

each of these:

1. y + 7 = 23 y=

2. 29 + y = 42
y=

3. 3y + 17 = 53
y=

4. 6y − 8 = 58
y=

5. 7y − 10 = 46
y=

6. 12y + 8 = 80
y=
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168
 Algebra: solve simple equations
Maths worksheets from urbrainy.com

Work out the value of p for

each of these:

1. p + 24 = 72 p=

2. 37 + p = 90
p=

3. 6p + 18 = 60
p=

4. 9p − 15 = 66
p=

5. 7p − 1 = 90
p=

6. 11p + 19 = 140
p=
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169
 Ratio and proportion written problems
Maths worksheets from urbrainy.com

1. If Jimbo watches three episodes of his favourite elephant

soap called 'Free food for all' in each week, how many
episodes does he watch in two weeks? ………………

How many episodes does he watch in three weeks? …….…………

2. Dad was tiling the kitchen. For every 5 green tiles he used
2 yellow tiles. How many green tiles did he need for 4 yellow tiles? …….…………
Complete the table below:

Green tiles Yellow tiles

5 2
4
6
10
20

3. In the Happy shop you can buy packs of four pencils and one rubber.
How many pencils and rubbers do you get in two packs?
How many pencils and rubbers do you get in four packs? …….……

4. To get one Dotty Cat Food token you must buy three packets of flakes.
How many packets must you buy to get five Dotty Cat Food tokens? ………….

How many tokens would you get if you bought 21 packets of flakes? ………….

5. Each month Jimbo spends 5 days helping at the zoo.

How many days is he helping in three months? .………...

Complete the table.

Number of months Number

of days at the zoo
1 5
3
5
10
12

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170
 Ratio and proportion written problems
Maths worksheets from urbrainy.com

1. Olivia likes to have lots of rose bushes in her garden.

For every four red rose bushes she plants, she also plants
one white rose bush. If she plants 24 red rose bushes, how
many white rose bushes does she plant. ……………..

2. Jimbo, the teacher, takes his children to the zoo. For every
six tickets he buys, he gets one free. ……………

Complete the table to show the number of tickets he would need to buy.

Number Number
of tickets bought of free tickets

6 1
4
8
10
12

3. Mrs Trout, a swimming instructor, recommends that her pupils

should swim two lengths of crawl for every three lengths breast stroke.

Sam swims 30 lengths breast stroke.

How many lengths crawl should he swim? ……………..

I prefer the back

stroke myself! I like to practise
on dry land.

4. Harry can build five model ships with one pack

of balsa wood. How many ships can he build with
7 packs of balsa wood? ……………..

How many packs of balsa wood does he need for 25 ships? ……………..

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 Ratio and proportion written problems
Maths worksheets from urbrainy.com

Here are some more ratio

questions. Good luck!!!!

1. Michael makes models out of cement. The models take

three hours to harden for every kilogram of cement used.
How long does a 15 kg model take to set? ……………

2. Tara uses 60 cm of ribbon to decorate two cakes.

How much ribbon does she need for six cakes?
How many cakes can she decorate with 240 cm of ribbon? ……………

3. There are 24 pupils in a chess club. There are two boys for every girl.

How many girls are there? ……………

How many boys are there? ……………

4.

Sharon makes these shapes from six squares each.

How many coloured squares are there in each pattern? ……………

How many white squares are there in each pattern? ……………

If she drew 20 of the shapes, how many coloured squares

would she draw? ……………

5. Danny is painting his house. He needs 21/2 litres of paint for each wall.

How much paint does he need for six walls? ……………

How many walls could he paint with 71/2 litres of paint ? ……………

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172
 Ratio and proportion written problems
Maths worksheets from urbrainy.com

1. Lottie is making strings of beads. She puts three red beads on a string for
every four yellow beads.
What do you think, guys?

If she makes a string with thirty red beads, how

many yellow beads will she use? ……………

If she uses sixteen yellow beads, how many

red beads will she need? ……………

2. I can exchange one pound for three New Zealand dollars.

How many New Zealand dollars can I get for £10 ? ……………

How many pounds can I get for 18 New Zealand dollars? ……………

3. At feeding time, an adult cat receives 400 g of food and its kitten
receives 150 g.
How much does each cat receive during six meals? ……………
How much food has the kitten eaten by the time the
adult cat has eaten 1 200 g? ……………

4. An architect is designing a housing estate. For every two

semi-detached houses, he includes seven terraced houses.

If there are twenty semi-detached houses in one road,

how many terraced houses should there be? ……………

If there are 91 terraced houses in a road, how many

semi-detached houses are there? ……………

5. In a sweet jar there are two red sweets for every three green ones.
If there are twenty five sweets altogether, how many
are red and how many are green? ……………

6. A factory produces large and small mugs. They make three large
mugs for every four small ones.
In one day they make 1 400 mugs altogether.
How many are large and how many are small? ……………

Another day they make 330 large mugs. How many small
ones do they make? ……………

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 Ratio and proportion written problems
Maths worksheets from urbrainy.com

Try answering these word

problems.

1. Jane has 15 pencils. She has three blue ones for

every two red ones. How many red ones does she have? ……………

2. A builder mixes one part of cement with four parts of

sand to make mortar.
If he mixes up 100 kg altogether, how much is cement? ……………

How much is sand? ……………

3. In a box of sweets, there are 3 boiled sweets to every 2 mints.

If there are 25 sweets in the box altogether, how many
of them are boiled sweets and how many are mints? …………… ……………

4. In painting a house, John uses twice as much undercoat as he

does gloss. If he uses 60 litres of paint altogether, how much
undercoat and how much gloss does he use? …………………………

What proportion of undercoat does he use? ……………

5. One carpet covers 12 m2. Another covers 48 m2.

What proportion of both carpets does the smaller carpet cover?
What proportion does the larger carpet cover?

6. A small bookshelf holds 120 books and a large bookshelf holds 360 books.
What proportion of all the books does the smaller shelf hold? ……………

What proportion of all the books does the larger shelf hold? ……………

7. Two DVD racks hold 280 DVDs altogether. One holds

three DVDs for every four the other holds.
How many DVDs does each rack hold? ……………

8. John and Ken use the telephone a lot. John makes 4 calls
for every 6 that Ken makes. They make 260 calls altogether.
How many calls do John and Ken make each? ……………

What proportion of all the calls does Ken make? ……………

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 Scale and proportion (1)
Maths worksheets from urbrainy.com

1. Multi and Subby can do an amazing trick.

They can reproduce themselves in a line, like
this:

3 Multis 2 Subbys 3 Multis 2 Subbys

Fill in the gaps in the following statements:

a) For every three Multis there are ______ Subbys.

b) A line with 20 Maths Rats will have ______ Multis and

_____ Subbys.

c) A line with 30 Multis will have ______ Subbys.

d) If there are 50 Subbys in a line, there must be ______ Multis.

2. Addy is going to make a fruit salad. To make a salad for three

people he needs one banana, ten cherries and two apples.

a) How many cherries will he need for six people?

b) How many apples will he need for nine people?

c) How many bananas will he need for fifteen people?

d) If he needs sixteen bananas, how many people is he

making the salad for?

e) If he needs five and a half bananas, how many cherries

will he need?

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175
 Scale and proportion (1)
Maths worksheets from urbrainy.com

1. Divvy wants to make some strawberry ice cream. He sees this list
of ingredients for 6 people:

Strawberry Ice Cream

500 ml cream 900g strawberries 200g sugar

That’s Divvy working

out how much he
needs!

a) If he makes enough strawberry ice cream for 18 people how much

of each ingredient would he need?

Cream

Strawberries

Sugar

b) If he uses 2.5 litres of cream, how many kilograms of

strawberries will he need?

c) If he uses 2 kg of sugar, how many people is he

expecting at his party?

d) If he uses 4.4 kg of sugar and strawberries

altogether, how much of each does he use?
Sugar: Strawberries:

How many ml of cream will he need to go with

the sugar and strawberries?

e) If one litre of cream has a mass of 950g, what is

the mass of 6 litres of cream in kg?

f) What is the ratio of the mass of strawberries to the mass of sugar

in this recipe?
_________ : _________

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 Scale and proportion (1)
Maths worksheets from urbrainy.com

1. Sam loves strawberries. At his local

market they cost £2.50 per kilo.

Sue loves chocolate raisins. They cost

£4.60 per kilo.

a) Sam buys half a kilo of strawberries.

How much do they cost?

b) The next day Sam would like to buy three and a half kilos
of strawberries for his friend’s party.
He has £8.60.
Does he have enough money to buy the strawberries?
Show your working.

Yes/No
c) Sue buys two kilos of chocolate raisins. How much
change does she have from £10.00 ?
Show your working.

£______
£______
d) What is the price of 100g of chocolate raisins?

e) What is the cost of 250g of chocolate raisins?

f) Which is cheaper, seven and half kilos of strawberries

or four kilos of chocolate raisins?
Show your working.

____________

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 Scale and proportion (1)
Maths worksheets from urbrainy.com

1. An Australian dollar is approximately 70p. £

a) How much would 100 dollars cost?

Use the graph below to answer the questions.

£
70

60

50

40

30

20

10

0
0 10 20 30 40 50 60 70 80 90 100
Australian dollars
b) Put a cross on the graph to show that 50 dollars is approximately
the same as £35.
c) How many pounds are equivalent to 75 dollars? £

d) How many dollars are the equivalent of £52 ? dollars

e) After this graph was drawn, the exchange rate changed to

1 Australian dollar = 64p.
Draw a new line on the graph to show this new exchange rate.
f) Using the new line, find how many dollars a traveller could now get
for £40. dollars

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178
 Scale and proportion (1)
Maths worksheets from urbrainy.com

1. 30cm is approximately 12 inches.

The length of a large table is 180 inches.
Approximately how many centimetres is this?

_________cm

2. Here is a scale to convert litres to gallons and gallons to litres.

0 1 2 3 4 Gallons

0 5 10 15 20 Litres
Use the chart to answer the following questions:

a) Approximately how many litres are equivalent to 3 gallons?

b) Approximately how many gallons are equivalent to 10 litres?

c) Josephine reads the scale and finds that 4.1 gallons is

approximately equal to 18.6 litres. What is this to the nearest
litre?

3. 8 kilometres are approximately equal to 5 miles.

a) What is 24 kilometres in miles?

b) What is 440 kilometres in miles?

c) What is 660 miles in kilometres?

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179
 Equivalent ratios
Maths worksheets from urbrainy.com

Fill in the missing numbers to make these

ratios equivalent. I have done the first one for
you!

1. 1 : 6 = 2 : 12 = …. : 18 = …. : 24 = 5 : …. = …. : 36

2. 3 : 10 = …. : 20 = …. : 30 = 12 : …. = 15 : …. = 18 : ….

3. 3 : 8 = …. : 16 = …. : 24 = 12 : …. = 15 : …. = 18 : ….

4. 1 : 9 = …. : 18 = …. : 27 = 4 : …. = …. : 45 = 6 : ….

5. 2 : 5 = 4 : …. = …. : 15 = …. : 20 = …. : 25 = …. : 30

Now try these which are a little bit

harder!

6. 6 : 18 = 5 : …. = 2 : …. = 3 : …. = 4 : …. = …. : 3

7. 18 : 24 = 15 : …. = …. : 8 = 9 : …. = …. : 16 = 3 : ….

8. 30 : 36 = …. : 30 = 10 : …. = …. : 18 = 20 : …. = …. : 6

9. 12 : 30 = …. : 25 = 4 : …. = …. : 15 = …. : 20 = 2 : ….

10. 12 : 18 = …. : 15 = 4 : …. = …. : 9 = …. : 12 = 2 : ….

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180
 Equivalent ratios
Maths worksheets from urbrainy.com

Fill in the missing numbers to make these

ratios equivalent. I have done the first one for
you!

1. 1 : 5 = 2 : 10 = 3 : …. = 4 : …. = 5 : …. = …. : 30

2. 2 : 3 = 4 : …. = 6 : …. = 8 : …. = 10 : …. = …. : 18

3. 5 : 6 = …. : 12 = 15 : …. = …. : 24 = 25 : …. = 30 : ….

4. 5 : 8 = 10 : …. = 15 : …. = …. : 32 = …. : 40 = 30 : ….

5. 8 : 9 = 16 : …. = 24 : …. = …. : 36 = …. : 45 = 48 : ….

Now try these which are a little bit

harder!

6. 8 : 20 = …. : 5 = 6 : …. = …. : 25 = …. : 30 = …. : 10

7. 20 : 36 = 5 : …. = 15 : …. = …. : 45 = 30 : …. = …. : 18

8. 20 : 24 = 5 : …. = 15 : …. = 25 : …. = 30 : …. = 10 : ….

9. 4 : 32 = 1 : …. = …. : 24 = …. : 40 = 6 : …. = …. : 16

10. 12 : 20 = 3 : …. = …. : 15 = 15 : …. = 18 : …. = 6 : ….

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181
 Equivalent ratios
Maths worksheets from urbrainy.com

Fill in the missing numbers to make these

ratios equivalent. I have done the first one for
you!

1. 1 : 5 = 2 : 10 = …. : 15 = …. : 20 = …. : 25 = 6 : ….

2. 1 : 8 = …. : 16 = …. : 24 = …. : 32 = …. : 40 = 6 : ….

3. 3 : 7 = …. : 14 = …. : 21 = 12 : …. = …. : 35 = 18 : ….

4. 2 : 5 = 4 : …. = …. : 15 = …. : 20 = 10 : …. = …. : 30

5. 2 : 3 = 4 : …. = …. : 9 = …. : 12 = …. : 15 = 12 : ….

Now try these which are a little bit

harder!

6. 8 : 24 = 4 : …. = …. : 30 = …. : 27 = 2 : …. = 1 : ….

7. 24 : 32 = 12 : …. = 30 : …. = …. : 36 = 6 : …. = 3 : ….

8. 16 : 24 = …. : 12 = …. : 30 = …. : 27 = 4 : …. = 2 : ….

9. 8 : 40 = …. : 20 = …. : 50 = 9 : …. = 2 : …. = 1 : ….

10. 8 : 16 = …. : 8 = …. : 20 = …. : 18 = …. : 4 = …. : 2

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 6503 Reflect and translate shapes Page 1
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1. Reflect the following shapes in both mirror lines.

4 4

3 3

2 2

1 1

–4 –3 –2 –1 0 1 2 3 4 –4 –3 –2 –1 0 1 2 3 4

–1 –1

–2 –2

–3 –3

–4 –4

4 4

3 3

2 2

1 1

–4 –3 –2 –1 0 1 2 3 4 –4 –3 –2 –1 0 1 2 3 4

–1 –1

–2 –2

–3 –3

–4 –4

4 4

3 3

2 2

1 1

–4 –3 –2 –1 0 1 2 3 4 –4 –3 –2 –1 0 1 2 3 4

–1 –1

–2 –2

–3 –3

–4 –4

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 6503 Reflect and translate shapes Page 2
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1. Reflect the following shapes in both mirror lines.

4 4

3 3

2 2

1 1

–4 –3 –2 –1 0 1 2 3 4 –4 –3 –2 –1 0 1 2 3 4

–1 –1

–2 –2

–3 –3

–4 –4

4 4

3 3

2 2

1 1

–4 –3 –2 –1 0 1 2 3 4 –4 –3 –2 –1 0 1 2 3 4

–1 –1

–2 –2

–3 –3

–4 –4

4 4

3 3

2 2

1 1

–4 –3 –2 –1 0 1 2 3 4 –4 –3 –2 –1 0 1 2 3 4

–1 –1

–2 –2

–3 –3

–4 –4

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1. Translate the shapes by the amount shown:

4 4

3 3

2 2

1 1

–4 –3 –2 –1 0 1 2 3 4 –4 –3 –2 –1 0 1 2 3 4

–1 –1

–2 –2

–3 –3

–4 –4
Translate 4 units to the right and Translate 5 units to the left and
4 units down 5 units up

4 4

3 3

2 2

1 1

–4 –3 –2 –1 0 1 2 3 4 –4 –3 –2 –1 0 1 2 3 4

–1 –1

–2 –2

–3 –3

–4 –4
Translate 3 units to the right and Translate 5 units to the right and
2 units up 3 units down

4 4

3 3

2 2

1 1

–4 –3 –2 –1 0 1 2 3 4 –4 –3 –2 –1 0 1 2 3 4
–1 –1

–2 –2

–3 –3

–4 –4
Translate 4 units to the right and Translate 4 units to the left and
4 units up 2 units down

185
 6503 Reflect and translate shapes Page 4
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1. Translate the shapes by the amount shown:

4 4

3 3

2 2

1 1

–4 –3 –2 –1 0 1 2 3 4 –4 –3 –2 –1 0 1 2 3 4

–1 –1

–2 –2

–3 –3

–4 –4
Translate 5 units to the left and Translate 3 units to the right and
4 units down 4 units down

4 4

3 3

2 2

1 1

–4 –3 –2 –1 0 1 2 3 4 –4 –3 –2 –1 0 1 2 3 4

–1 –1

–2 –2

–3 –3

–4 –4
Translate 4 units to the left and Translate 3 units to the right and
4 units up 4 units up

4 4

3 3

2 2

1 1

–4 –3 –2 –1 0 1 2 3 4 –4 –3 –2 –1 0 1 2 3 4
–1 –1

–2 –2

–3 –3

–4 –4
Translate 4 units to the right and Translate 3 units to the left and
5 units down 4 units up

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Answers
Page 1
4 4

3 3

2 2

1 1

–4 –3 –2 –1 0 1 2 3 4 –4 –3 –2 –1 0 1 2 3 4

–1 –1

–2 –2

–3 –3

–4 –4

4 4

3 3

2 2

1 1

–4 –3 –2 –1 0 1 2 3 4 –4 –3 –2 –1 0 1 2 3 4

–1 –1

–2 –2

–3 –3

–4 –4

4 4

3 3

2 2

1 1

–4 –3 –2 –1 0 1 2 3 4 –4 –3 –2 –1 0 1 2 3 4

–1 –1

–2 –2

–3 –3

–4 –4

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 6503 Reflect and translate shapes Page 6
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Answers (Contd)
Page 2
4 4

3 3

2 2

1 1

–4 –3 –2 –1 0 1 2 3 4 –4 –3 –2 –1 0 1 2 3 4

–1 –1

–2 –2

–3 –3

–4 –4

4 4

3 3

2 2

1 1

–4 –3 –2 –1 0 1 2 3 4 –4 –3 –2 –1 0 1 2 3 4

–1 –1

–2 –2

–3 –3

–4 –4

4 4

3 3

2 2

1 1

–4 –3 –2 –1 0 1 2 3 4 –4 –3 –2 –1 0 1 2 3 4

–1 –1

–2 –2

–3 –3

–4 –4

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 6503 Reflect and translate shapes Page 7
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Answers (Contd)
Page 3
4 4

3 3

2 2

1 1

–4 –3 –2 –1 0 1 2 3 4 –4 –3 –2 –1 0 1 2 3 4

–1 –1

–2 –2

–3 –3

–4 –4
Translate 4 units to the right and Translate 5 units to the left and
4 units down 5 units up

4 4

3 3

2 2

1 1

–4 –3 –2 –1 0 1 2 3 4 –4 –3 –2 –1 0 1 2 3 4

–1 –1

–2 –2

–3 –3

–4 –4
Translate 3 units to the right and Translate 5 units to the right and
2 units up 3 units down

4 4

3 3

2 2

1 1

–4 –3 –2 –1 0 1 2 3 4
–1 –1

–2 –2

–3 –3

–4 –4
Translate 4 units to the right and Translate 4 units to the left and
4 units up 2 units down

189
 6503 Reflect and translate shapes Page 8
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Answers (Contd)
Page 4
4 4

3 3

2 2

1 1

–4 –3 –2 –1 0 1 2 3 4 –4 –3 –2 –1 0 1 2 3 4

–1 –1

–2 –2

–3 –3

–4 –4
Translate 5 units to the left and Translate 3 units to the right and
4 units down 4 units down

4 4

3 3

2 2

1 1

–4 –3 –2 –1 0 1 2 3 4 –4 –3 –2 –1 0 1 2 3 4

–1 –1

–2 –2

–3 –3

–4 –4
Translate 4 units to the left and Translate 3 units to the right and
4 units up 4 units up

4 4

3 3

2 2

1 1

–4 –3 –2 –1 0 1 2 3 4 –4 –3 –2 –1 0 1 2 3 4
–1 –1

–2 –2

–3 –3

–4 –4
Translate 4 units to the right and Translate 3 units to the left and
5 units down 4 units up

190
 6505 Co-ordinates in four quadrants Page 1
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Okay, you guys. Ready for the heavy stuff?

We are now going to put negative numbers in the y-axis too!

Hold onto your seats!

y 5
4
3

2
1

0
–5 –4 –3 –2 –1 0 1 2 3 4 5
–1 x
–2

–3
–4
–5

Such great artists at MathSphere!

Try drawing this shape:

(3,5) (2,4) (4,2) (5,3) (4,2) (3,3) (1,0) (0,1) (3,3) (0,1) (–1,2) (–1,4)
(–4,4) (–4,2) (–5,1) (–5,–3) (–4,–3) (–4,–2) (–2,–2) (–2,–3) (0,–3) (0,–2)
(2,–2) (2,–3) (3,–3) (3,–1) (2,–1) (1,0) *

Now draw a rectangle at (–3,1) (–3,3) (–2,3) (–2,1)

Finally draw two circles 1cm radius at centres (–3,–3) and (1,–3)

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 6505 Co-ordinates in four quadrants Page 2
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Make two drawings of your own. Write down the co-ordinates of each.
y 5
Co-ordinates:
4
3

2
1

0
–5 –4 –3 –2 –1 0 1 2 3 4 5
–1 x
–2

–3
–4
–5

y 5
Co-ordinates:
4
3

2
1

0
–5 –4 –3 –2 –1 0 1 2 3 4 5
–1 x
–2

–3
–4
–5

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 6505 Co-ordinates in four quadrants Page 3
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y 5
4
3

2
1

0
–5 –4 –3 –2 –1 0 1 2 3 4 5
–1 x
–2

–3
–4
–5

Draw this polygon on the grid:

(3,1) (5,1) (5,2) (4,2) (4,4) (1,4) What is it called?

Mark the parallel sides with arrows.

Reflect the shape in the y-axis. Write down the co-ordinates of the reflection.

( , ) ( , ) ( , ) ( , ) ( , ) ( , )
Now reflect the first shape in the x-axis. Write down the co-ordinates of this
reflection.

( , ) ( , ) ( , ) ( , ) ( , ) ( , )
What do you notice about the co-ordinates?

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 6505 Co-ordinates in four quadrants Page 4
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y 5
4
3

2
1

0
–5 –4 –3 –2 –1 0 1 2 3 4 5
–1 x
–2

–3
–4
–5

Draw this shape on the grid:

(0,0) (2,2) (4,2) (4,4) (2,4) (2,2)

Mark the parallel sides with arrows.

Reflect the shape in the y-axis. Write down the co-ordinates of the reflection.

( , ) ( , ) ( , ) ( , ) ( , ) ( , )
Now reflect the first shape in the x-axis. Write down the co-ordinates of this
reflection.

( , ) ( , ) ( , ) ( , ) ( , ) ( , )
What do you notice about the co-ordinates?

Can you complete the pattern in all four quadrants? What do you need to do?

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 6505 Co-ordinates in four quadrants Page 5
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y 5
4
3

2
1

0
–5 –4 –3 –2 –1 0 1 2 3 4 5
–1 x
–2

–3
–4
–5

Draw this shape on the grid:

(2,0) (3,0) (3,–1) (4,–1) (4,–4) (1,–4) (1,–3) (0,–3) (0,–2) (1,–2) (1,–1)
(2,–1) (2,0)

Reflect the shape in the x-axis. Write down the co-ordinates of the reflection.

( , ) ( , ) ( , ) ( , ) ( , ) ( , ) ( , )
( , ) ( , ) ( , ) ( , ) ( , )( , )
Now reflect the first shape in the y-axis. Write down the co-ordinates of this
reflection.

( , ) ( , ) ( , ) ( , ) ( , ) ( , ) ( , )
( , ) ( , ) ( , ) ( , ) ( , )( , )
Can you complete the pattern in all four quadrants? What do you need to do?

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 6506 More shape work Page 1
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Name these quadrilaterals.

Mark the parallel lines in them with arrows.
Colour the perpendicular lines (those at right angles to each other).

A B

C
D

F
E

H
G

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 6506 More shape work Page 2
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Two points at the top of a diagram are joined to two points at the bottom.

Put a dot where the lines intersect.

How many intersections are there?

Why, just one of course!

How many intersections are there when there are three points at the bottom
of the diagram?

Number of points Number of

at the bottom intersections

Continue this for four points at

the bottom, five points
and so on.

Keep going until you have six points at the bottom.

Put your results in the table.

What pattern do you notice?

Can you complete the pattern for up to ten dots without drawing the diagrams?

197
 6602 More on metric units Page 1
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You should now be able to write

small units as large units and large
units as small units.

Try this with the measurements in

the table.

Small units Large units

Eg. 4 000kg 4t
6 574g ______kg
______cm 5.63m
943cm ______m
______mm 7.321m
9 529ml ______l
______ml 8.623 l
______g 83kg
99cm ______m
764cl ______l
______t 5 733kg
8 316mm ______m
______cl 12 l
12 634m ______km
955m ______km

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 6602 More on metric units Page 2
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Do you have trouble thinking what a

tonne looks like?

The 'size' of a tonne depends on the

material used to make it.

A tonne of steel will obviously be

smaller in size than a tonne of water.

A tonne is the mass of a cubic metre of

water.

Imagine a box in the shape of a cube

1m by 1m by 1m.

If this were filled with water, the water

would weigh a tonne. Easy, really!

This amount of
water weighs one
tonne!

1m

1m 1m

If a swimming pool is 2m deep, 6m wide and 25m

long, what is the mass of the water in the pool?

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Do you know the difference between

mass and weight?

It is confusing because in everyday

life we mix them up without
thinking.

Mass
Mass is the amount of material in an object and is measured in kilograms.
This stays the same wherever you take the object.

Weight
Weight is the force by which the Earth (or other planet) pulls the object down
and is measured in newtons. This changes depending on where you take the object.

For example, if your mass is 40 kg, you will have a mass of 40 kg whether you are
on the Earth, on Mars or on the Moon, because your body has the same amount of
material wherever you are.

However, your weight will change because the gravity on Mars and the Moon is
not as great as that on the Earth. On Earth your weight would be about 400
newtons, on Mars it would be about 152 newtons and on the Moon only about 66
newtons.

Nelly the elephant was invited to the ball, but when she tried to put on her
best dress she realised she had eaten so many buns she no longer fitted into
it. She had heard, however, that astronauts were weightless in space, so she
hitched a lift on the Space Shuttle.
Unfortunately, when she was in space she soon discovered that, although she
didn't have any weight, she still had plenty of mass!

Michael was asked in a science test: 'What is the difference between mass
and weight?'

He wrote: 'Mass is when you buy a bag of potatoes. Weight is when you have
to carry them home!'

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 6602 More on metric units Page 4
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You should be familiar enough with the units

of measurement now to answer these questions.

1. What is one half of these units. Give your answer in smaller units.
Eg. One half of a kilometre is 500 metres.

a. kilometre b. metre c. kilogram d. litre e. centimetre

2. What is one quarter of these units. Give your answer in smaller units.

a. kilometre b. metre c. kilogram d. litre

3. What is three quarters of these units. Give your answer in smaller units.

a. kilometre b. metre c. kilogram d. litre

4. What is one tenth of these units. Give your answer in smaller units.

a. kilometre b. metre c. kilogram d. litre e. centimetre

5. What is one hundredth of these units. Give your answer in smaller units.

a. kilometre b. metre c. kilogram d. litre

6. What is one thousandth of these units. Give your answer in smaller units.

a. kilometre b. metre c. kilogram d. litre e. tonne

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Changing units of measurement

Fill in the missing gaps in the table. The first one has been done for you.

Measurement in small Measurement in large

units units

5 738 grams 5.738 kilograms

6 047 grams kilograms

millilitres 7.934 litres

8 900 millilitres litres

12 527 millilitres litres

millilitres 34.833 litres

6 000 grams kilograms

millimetres 4.944 metres

millimetres 7 metres

grams 16.733 kilograms

Don't forget that 'Kilo' Does that mean there are 1000
means 1000 ! whales in a killer whale?

Name: Page 1

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Rounding to nearest unit and tenth of a unit

1. Round these to the nearest kilogram and the nearest tenth of a kilogram.
e.g. 8 364 g is 8 kg to the nearest kilogram and
8.4 kg to the nearest tenth of a kilogram.

a. 34 838 g ……….kg ……….kg b. 3 888 g ……….kg ……….kg

c. 10 733 g ……….kg ……….kg d. 16 396 g ……….kg ……….kg

e. 8 345 g ……….kg ……….kg f. 89 322 g ……….kg ……….kg

g. 73 844 g ……….kg ……….kg h. 9 373 g ……….kg ……….kg

i. 6 999 g ……… .kg ……….kg j. 4 869 g ……….kg ……….kg

k. 38 455 g ……….kg ……….kg l. 17 382 g ……….kg ……….kg

2. Round these to the nearest litre and the nearest tenth of a litre.
e.g. 6 593 ml is 7 litres to the nearest litre and 6.6 litres to the nearest
tenth of a litre.

a. 7 845 ml ……….l ……….l b. 6 433 ml ……….l ……….l

c. 9 845 ml ……….l ……….l d. 64 366 ml ……….l ……….l

Name: Page 2

203
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Rounding to nearest unit and tenth of a unit

1. Round these to the nearest litre and the nearest tenth of a litre.
e.g. 6 593 ml is 7 litres to the nearest litre and
6.6 litres to the nearest tenth of a litre.

a. 2 837 ml ……….l ……….l b. 28 393 ml ……….l ……….l

c. 4 833 ml ……….l ……….l d. 948 ml ……….l ……….l

e. 7 373 ml ……….l ……….l f. 848 ml ……….l ……….l

g. 399 ml ……….l ……….l h. 920 ml ……….l ……….l

2. Round these to the nearest metre and the nearest tenth of a metre.
e.g. 8 364 mm is 8 metres to the nearest metre and
8.4 metres to the nearest tenth of a metre.

a. 24 136 mm ……….m ……….m b. 4 985 mm ……….m ……….m

c. 23 684 mm ……….m ……….m d. 21 490 mm ……….m ……….m

e. 3 725 mm ……….m ……….m f. 39 418 mm ……….m ……….m

g. 75 184 mm ……….m ……….m h. 1 683 mm ……….m ……….m

i. 3 886 mm ……….m ……….m j. 6 632 mm ……….m ……….m

k. 37 149 mm ……….m ……….m l. 22 034 mm ……….m ……….m

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 6609 Surface area of cuboids Page 1
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Surface area of cuboids

When working out the surface area of a cuboid (box shape) you need to
think that:
There are three pairs of opposite sides.

Each side of a pair will have the same area.

Work out the area of one side.

Do the same with the other two sides.
Add together the three totals and then double your answer:
Example: (not drawn to scale)

4 cm

10 cm

6 cm

4 cm

One side of this box is 10 cm long and 6 cm wide. (area = 60 cm2)

One side of this box is 10 cm long and 4 cm wide. (area = 40 cm2)

One side of this box (grey) is 6 cm long and 4 cm wide. (area = 24 cm2)

Total area for three sides = 60 cm2 + 40 cm2 + 24 cm2 = 124 cm2

Total area for all six sides = 124 cm2 + 124 cm2 = 248 cm2

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 6609 Surface area of cuboids Page 2
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Surface area of cuboids

Find the surface area of these

boxes. Remember they have 6
sides and opposite sides will have
the same area!

Note: boxes are not drawn to scale

4 cm 5 cm
1. 8 cm
2. 6 cm
3 cm
4 cm

12 cm
6 cm

3. 6 cm

6 cm 5 cm

4. 40 cm
5 cm
4 cm

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 6609 Surface area of cuboids Page 3
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Surface area of cuboids

Find the surface area of these

boxes. You might only be able to
see three sides, but there are six
in all!

Note: boxes are not drawn to scale.

2 cm
5 cm
1. 8 cm
2. 4 cm
3 cm

5 cm
10 cm
3. 7 cm

8 cm

5 cm
3 cm
5. 6 cm
4. 5 cm

4 cm
5 cm

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 6609 Surface area of cuboids Page 4
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Surface area of cuboids

Find the surface area of these boxes or cuboids:

1. A cuboid with a length of 10 cm, width of 5 cm and height of 8 cm.

2. A cuboid with a length of 15 cm, width of 6 cm and height of 6 cm.

3. A cuboid with a length of 8 cm, width of 7 cm and height of 5 cm.

4. A cuboid with a length of 20 cm, width of 12 cm and height of 10 cm.

5. A cuboid with a length of 50 cm, width of 40 cm and height of 30 cm.

Find some cuboids, measure the sides and work out the surface
area.
Try some tiny boxes - like matchboxes, and some medium size
ones, like a CD case, and some larger ones, such as cardboard
boxes.
Good luck.
You could see how many you could cover with one piece of
paper - investigate!

208
 6701 Probability: 0 to 1 Page 1
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1. You should be able to give a number to a probability.

These numbers must be between 0 and 1. They may be
fractions or decimals.

Eg. The probability of getting a head when you toss a coin

1
is , but this can be written as 0.5
2

Can you give a number for the probability of these events happening?

a) Throwing a die and getting a 2.

b) Throwing a die and getting an even number.

c) Throwing a die and getting a zero.

d) Throwing a die and getting a number greater than 4.

e) Throwing a die and getting a 1, 2, 3, 4, 5 or 6.

f) Tossing a coin and getting a tail.

g) Tossing a coin and getting a 5.

h) Tossing a coin and getting a head or a tail.

i) Choosing a heart from a pack of cards.

j) Choosing the six of spades from a pack of cards.

k) Choosing one person in your class at random and that person being a girl.

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 6701 Probability: 0 to 1 Page 2
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1.
Here are some simple experiments. Think about them carefully
and then work out the probability of the event happening.

a) A bag contains six blue balls and four green balls. One ball is chosen
without looking at its colour. What is the probability it is green?

b) A spinner has the numbers from 1 to 20 on it. If it is spun, what is the

probability of getting an even number?

c) A spinner has the numbers from 1 to 20 on it. If it is spun, what is the

probability of getting a prime number?

d) A milkcrate contains ten red top and four silver top bottles of milk. A bird
lands on one of the milk bottles. What is the probability it lands on a silver
top?

e) Twenty cards are laid out on a table. Four are green. Six are yellow. Ten are
blue. A boy throws a dart at the table. If the dart hits one of the cards, what
is the probability it is a yellow card?

f) Six boys and five girls are in a lift. One of the children feels ill. What is the
probability it is one of the boys?

g) A factory has sixteen workshops. Accidents happened in three of them

today. What is the probability of working in a workshop which had an
accident?

h) In a batch of 1 000 nails, twelve were faulty. If one of the nails is chosen at
random, what is the probability it is a faulty one?

Now draw a probability line from 0 to 1 and put the above events on the
line in the correct places.

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 6703 Interpreting pie charts (1) Page 1
© mathsphere.co.uk Worksheets provided by URBrainy.com

1. A toy shop divides its toys into four groups: cuddly toys, board games,
computer games and puzzles. The pie chart shows the percentage of each
sold in one day.
Type of toy Percentage
sold
Board Cuddly toys 50%
Cuddly Games
Toys Board 25%
games
Computer Computer 14%
Games
games
Puzzles 11%
Puzzles

a) If 200 toys were sold altogether, how many were cuddly toys?

b) If 200 toys were sold altogether, how many were board games?

c) If one of the toys sold on that day were picked at random, what is the
probability it would be a board game?

2. Folk singers at a festival came from England, Wales, Northern Ireland and
Scotland. The pie chart shows the percentage that came from each area.
Area Percentage

Wales England 31%

England
Wales 22%

Northern 28%
Northern Ireland
Scotland Ireland
Scotland 19%

a) If 500 singers attended the festival, how many were from Northern Ireland?

b) If 500 singers attended the festival, how many were from Wales?

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 6703 Interpreting pie charts (1) Page 2
© mathsphere.co.uk Worksheets provided by URBrainy.com

1. Front doors in a street are painted either red, blue, green, yellow or orange.
The pie chart shows the percentage of each colour in the street.

Colour Percentage
Red
Red 19%
Orange
Blue 14%
Blue
Green 19%
Yellow
Yellow 18%
Green
Orange 30%

a) If 300 doors are painted, how many were painted yellow?

b) If 300 doors are painted, how many were painted red or green altogether?

c) If one of the doors had woodworm, what is the probability it would be an

orange door?

2. The four Maths Rats (Addy, Subby, Multy and Divvy) sold copies of their
photographs at a school fete. The pie chart shows the percentage of each
picture sold.

Maths Rat Percentage

sold
Addy Addy 23%
Divvy
Subby 29%

Multy 22%
Subby
Multy
Divvy 26%

a) If the Maths Rats sold 400 pictures altogether, how many were pictures of
Subby?

b) If the Maths Rats sold 400 pictures altogether, how many were pictures of
Addy?

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 6706 Interpreting conversion graphs Page 1
© mathsphere.co.uk Worksheets provided by URBrainy.com

1. Here is conversion graph that converts dollars to pounds:

£
60

50

40

30

20

10

0
0 10 20 30 40 50 60 70 80 90 100
Dollars ($)

a)
Can you complete this conversion
table by taking measurements from
the graph?

Dollars Pounds

80
40
60
10
45
25
0

b) How many dollars are equivalent to £120 ?

c) How many pounds are equivalent to $160 ?

d) How many dollars are equivalent to £1 ?

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 6706 Interpreting conversion graphs Page 2
© mathsphere.co.uk Worksheets provided by URBrainy.com k

1. Here is a table that converts pounds (£) to Iraq Dinars. The exchange rate is
about 2 500 Iraq Dinars to the pound.

Complete the spaces in the table.

Pounds (£) Iraq Dinar

1 2 500
5 12 500
10
15
20
25
30

Now draw the graph of the conversion from pounds to Iraq Dinars.

Dinar
80 000
70 000
60 000

50 000
40 000

30 000

20 000

10 000

0 0 5 10 15 20 25 30
Pounds (£)

2. How many Dinar could you get for a) £22 ?

b) £13

c) £28

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 6707 Interpreting line graphs Page 1
© mathsphere.co.uk Worksheets provided by URBrainy.com

1. Here is a graph showing how the value of the US Dollar changed over one
year compared to the value of the pound (£).

Dollars

1.65
1.64
1.63
1.62
1.61
1.60
1.59
1.58
1.57
1.56
1.55
Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec
(Each vertical line represents the 1st of the month)

Now answer the following questions:

a) What was the value of the pound in dollars on 1st January?

b) What was the value of the pound in dollars on 1st July?

c) What was the value of the pound in dollars on 1st May?

d) How many dollars would you have received for one pound on 15th June?

e) How many dollars would you have received for one pound on 15th March?

f) What was the value of the pound on 1st September?

g) What was the value of the pound on 1st April?

h) Mike wanted to buy a telescope from America. He had £100 to spend. What
was this in dollars on 1st October?

i) Jane had £200. How much more was this worth in dollars on 1st October
than it was on 1st September.

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 6707 Interpreting line graphs Page 2
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1. This graph shows the amount of electricity being used in a town in

England during part of cup final day. The match started at 3.00pm.

The amount of electricity being used is measured in megawatts (MW).

MW

35
34
33
32
31
30
29
28
27
26
25
12.30 1.00 1.30 2.00 2.30 3.00 3.30 4.00 4.30 5.00 5.30
Time (pm)

Answer these questions:

a) How much power was being used at 12.30 pm?

b) How much power was being used at 2.00 pm?

c) How much power was being used at the peak at about 3.45 pm?

d) Why was quite a lot of power being used between about 12.30 and 1.30 pm?

e) Why did the amount of power used drop at about 2.00 pm?

f) If no extra time was played after the first half, what happened in the match
at 3.45 pm?

g) Why did the power used suddenly increase dramatically at 3.45 pm?

h) Why did the amount of power used rise steadily again from about 4.45 pm?

216