YEAR 7

REVISION BOOKLET

MATHEMATICS

Mathematics department Trinity Church of England School, Belvedere

 REVISION PACK YEAR 7
Non-calculator Section A
1 Look at this bank statement.

Statement 123 Account number 1329874

Date Details Debit (£) Credit (£) Balance (£)

31-01-2014 Opening balance 479.34

03-02-2014 Wages 83.16

09-02-2014 Shoe shop 48.00

Work out the final balance on the statement.

Answer: £________ (1 mark)

2 Work out 3.2 + – 4.5

Answer: ________ (1 mark)

3 Work out – 6.4 – 3.1

Answer: ________ (1 mark)

4 Work out the missing number in this subtraction.

2.5 + … = – 7.6
Answer: ________ (1 mark)

5 Work out (–11)²

Answer: ________ (1 mark)

6 Which of these have an answer of 2.1?

Put a tick by each one.
a – 3 × – 0.7 ____
b – 3.0 – – 5.1 ____
c – 0.5 + – 1.6 ____
d – 0.5 × 8.4 ____
(1 mark)

Mathematics department Trinity Church of England School, Belvedere

7 Work out the missing number in this multiplication.
– 3.5 × … = 14

Answer: ________ (1 mark)

8 This shape is a parallelogram.

Work out the area.

Circle the correct answer.
36 cm² 40 cm² 48 cm² 60 cm² none of these (1 mark)

9 The fifth term of a linear sequence is 40.

The tenth term of the same sequence is 100.
Work out the first term.

Answer: ________ (2 marks)

10 A square and a right-angled shape are joined together to make this quadrilateral.

Work out the area of the shape.

Answer: ________cm2 (2 marks)

11 One of these numbers cannot be written as the sum of two triangular numbers.
Circle it.
25 27 29 31 33

(1 mark)

Mathematics department Trinity Church of England School, Belvedere

12 The lengths of two sides of a triangle are 7 cm and 12 cm.
Which of these could be the perimeter of the triangle?
Circle all possible answers.

24 cm 28 cm 32 cm 36 cm 40 cm (1 mark)

13 The lengths of two sides of a triangle are 16 cm and 10 cm.

Which of these could be the area of the triangle?
Circle all possible answers.
5 cm² 50 cm² 75 cm² 100 cm² 150 cm²

(1 mark)

14 The nth term of a sequence is 80 – 8n.

Work out the eighth term of the sequence.

Answer: ________ (1 mark)

15 The nth term of a sequence is 5n + 13.

The nth term of a different sequence is 7n – 6.
Work out the smallest number that appears in both sequences.

Answer: ________ (2 marks)

16 Here is the start of a sequence of numbers.

12 15 18 24 30
What is a formula for the nth term?
Circle your answer.
3n 3n + 3 3n + 6 3n + 9 none of these

(1 mark)

Mathematics department Trinity Church of England School, Belvedere

17 Here is the start of a Fibonacci sequence
1 1 2 3 5 8 13
The sequence continues in the same way.
How many numbers in the sequence are less than 100?

Answer: ________ (2 marks)

18 Andrew has four rectangular pieces of plastic measuring 10 cm by 6 cm.

He has two square pieces of plastic measuring 10 cm by 10 cm.
He sticks the pieces together to make a cuboid.
Work out the volume of the cuboid.

Answer: ________cm3 (2 marks)

19 The volume of a cube is 27 cm³.

Work out the surface area of the cube.

Answer: ________cm2 (2 marks)

Total marks _____ /25

Mathematics department Trinity Church of England School, Belvedere

Non-calculator Section B
1 In a shipyard, cannonballs are piled in pyramids.
Each layer in this pyramid contains a square number of cannonballs.

Each layer in this pyramid contains a triangular number of cannonballs.

a What is the difference in the numbers of cannonballs in the bottom layers of the
pyramids?

(1 mark)

b How many cannonballs are there altogether in both pyramids?

(1 mark)

Another pyramid, similar to one of those in parts a and b, contains 204 cannonballs.
c How many layers would it have and what shape will these layers be?

(2 marks)

2 You are given these nine digits.

1 2 3 4 5 6 7 8 9
Use all of them to make three 2-digit square numbers, one 2-digit triangular number and
a single-digit Fibonacci number.
Then try to find another such set.

(4 marks)

Total marks _____ /8

Mathematics department Trinity Church of England School, Belvedere

Non-calculator Section C

1 Some of these statements are false.

Tick each of them that is false.
a 0.04 × 100 = 0.0400 ____
b 0.7 ÷ 10 = 0.07 ____
c 0.89 × 1000 = 890 ____
d 6.9 ÷ 100 = 0.0069 ____ (1 mark)

2 Which of these lists capacities in order of size, from smallest to largest?

a 8 litres, 990 ml, 7.059 litres, 7902 ml, 7.12 litres ____
b 990 ml, 7.12 litres, 7.059 litres, 7902 ml, 8 litres ____
c 7.05 litres, 7.12 litres, 7902 ml, 8 litres, 990 ml ____
d 990 ml, 7.059 litres, 7.12 litres, 7902 ml, 8 litres ____
(1 mark)

3 Maddie estimates the answer to one of these calculations to be 50.

Which one could it be?
a 52 ÷ 0.11 ____
b 97 ÷ 27 ____
c 39 ÷ 0.79 ____
d 824 × 0.053 ____
(1 mark)

4 Work out 29.4 – 13.8.

Tick the correct answer.
a 15.12 ____
b 16.4 ____
c 15.4 ____
d 15.6 ____
(1 mark)

5 You buy goods costing £12.34, £20.07, £5.18 and 6p.

Work out the change from a £50 note.

Answer: £________ (1 mark)

6 Order these calculations according to their value.

Start with the smallest.
a 4.5 × 8 ____
b 127 × 0.3 ____
c 5.9 × 9 ____
d 82 × 0.4 ____
Answer: ________ (1 mark)
7 Nine packets of biscuits cost £13.95 altogether.

Mathematics department Trinity Church of England School, Belvedere

 What is the maximum number of packets of these biscuits
that I can buy with £10?

Answer: ________packets (2 marks)

8 Tick each statement that is true.
a 225 = 15 or – 15 ____
b 24 < 620 < 25 ____
c 25  49 could be –2 ____
d 5.2 ÷ 100 = 0.052 ____
(1 mark)
9 Tick each statement that is true.
a 108.06 = 108.1 to 1 dp ____
b 0.947 = 1 to 1 sf ____
c 383 = 38 to 2 sf ____
d 5.996 = 6.00 to 2 dp ____
(1 mark)
10 Put these expressions in order of value.
Start with the smallest.
a 25 – 5 × 2 ____
b 48 ÷ 8 + 4 ____
c 5 × 32 ____
2
d (8 + 2) ____
(1 mark)
11 Imelda wants a carpet for her shoe store-room.
The cost of the carpet is £8.35 for a square metre.
Her room is 3.7 m by 2.0 m.
How much will the carpet cost?

Answer: £________ (2 marks)

12 This tank travelled 61.2 miles on 9 litres of fuel.

How many miles could it travel on 4 litres of fuel?

Answer: ________ litres (1 mark)

13 Jo is a diabetic who uses three doses of insulin each day.
Each dose is 0.06 ml.

Mathematics department Trinity Church of England School, Belvedere

 A bottle contains 1 cl of insulin.
How many complete days will a bottle last her?

Answer: ________days (1 mark)

14 A group of eight Year 7 pupils were comparing their weekly pocket money.
The amounts they received were £2.50, £1.90, £3.60, £3.80, £4.25, £ 3.20, £2.80 and £3.
Work out the range and the median value.

Answer: The range is £________ (1 mark)

Answer: The median is £________ (1 mark)
15 Alex finds that after five tests her mean score is the same as the range.
Four of her marks are 12, 10, 28 and 21 and the median score is missing.
What is her median score?

Answer: ________marks (1 mark)

16 Simon makes a meat and potato pie.
Its mass is 720 grams.
The pie chart displays the ingredients.
How many grams of potato did Simon use?

Answer: ________ grams (1 mark)

17 Simon makes a meat and potato pie.
Its mass is 720 grams.
The pie chart displays the ingredients.
How many grams of meat did Simon use?

Answer: ________grams (1 mark)

18 Ray is doing a class survey. He asks these questions.
Tick all those questions to which Ray will get discrete data.
a How many pets do you have? ____
b How tall are you? ____
c What is your shoe size? ____
d What time do you go to bed? ____
(1 mark)
19 A teacher asked her class: ‘To the nearest tenth of a minute, how many minutes did you
spend texting last night?’
These were their responses.

Mathematics department Trinity Church of England School, Belvedere

 2.6 17.9 16.1 3.4 10.6 3.5
16.0 9.6 15.5 10.2 6.3 2.6
8.0 8.6 17.1 12.6 18.5 9.9
7.7 6.9 5.3 9.2 5.6 2.6
12.9 10.3 3.8 8.2 6.9 3.0
Jack and Jill completed these grouped frequency tables, but only one is correct.
Jack’s table Jill’s table
Number of minutes Frequency Number of minutes Frequency
0 – 4.9 6 0 – 4.9 7
5.0 – 9.9 11 5.0 – 9.9 12
10.0 – 14.9 5 10.0 – 14.9 5
15.0 – 19.9 6 15.0 – 19.9 6

Who is correct?
Answer: ________ is correct. (1 mark)
What is the modal class?
Answer: ________ (1 mark)

20 The mean of the lengths of all the sides of an isosceles triangle is 8 cm.
At least one side is 10 cm.
Work out the possible values of the range.

Answer: ________cm or ________cm (2 marks)

Total marks _____ /25

Mathematics department Trinity Church of England School, Belvedere

Non-calculator Section D

1 Adam Upp sells basic calculators for £4.90 each and scientific calculators for £8.30 each.
The week before the exam he sells three times as many basic calculators as scientific
calculators and takes £460.
How many of each type did he sell?

Answer: ________basic calculators and ________scientific calculators (4 marks)

2 These times are in seconds.
9 minutes 6 seconds 7.4 minutes, 6 minutes 18 seconds
8 minutes 12 seconds 10.5 minutes ………
The range is 4.6 minutes and the median is 7.8 minutes
What time is missing from the list?

Answer: ________seconds (4 marks)

Total marks _____ /8

Mathematics department Trinity Church of England School, Belvedere

Non-calculator Section E

1 Work out the value of 2(t – 5) when t = 11.

Answer: ________ (1 mark)

2 Work out the value of r – 2s when r = 5 and s = 7.
2

Answer: ________ (1 mark)

3 Which of these expressions gives the perimeter of this rectangle, in centimetres?

Tick all those that are correct.

a 2n + 9 _____
b n2 + 9n _____
c 2(n + 9) _____
d 4n + 9 _____
e 4n + 18 _____
f 2(2n + 9) _____
(1 mark)
4 Simplify this expression.
8 + 4x – 5 + 3x
Tick the correct answers.
a 8+x _____
b 3+x _____
c 3 + 7x _____
d 10x _____
e none of these _____
(1 mark)
5 Which of these expressions represent the area of the shaded shape?

Tick the correct answers.

a 30 + 4(10 – x) _____
b 70 – 4x _____
c 3x + 7(10 – x) _____

(1 mark)

Mathematics department Trinity Church of England School, Belvedere

6 A quizmaster uses the formula:
C = 10 + 2.5q
where C is the cost (in £) and q is the number of questions he writes.
What does he charge for writing a quiz with 20 questions?

Answer: £________ (1 mark)

7 Doctor Y uses this formula to convert temperatures from Fahrenheit degrees (F) to
Celsius degrees (C)
9C
F  32
5
What answer will she get if she converts 50° Celsius to degrees Fahrenheit?

Answer: ________°F (1 mark)

8 Octopuses have 8 tentacles and squids have 10 tentacles.
There are s octopuses and d squids under the sea.
The octopuses and squids have a total of t tentacles.
Which of these is a correct formula for t in terms of s and d?
a t = 18(s + d) _____
b t=s+d _____
c t = 18sd _____
d t = 8s + 10d _____

Answer: ________ (1 mark)

3
9 Which of these fractions are equivalent to ?
8
Tick all those that are correct.
9
a _____
14
30
b _____
80
37
c _____
87
21
d _____
56
(1 mark)
10 Tick all the correct statements.
2 5
a  _____
5 8
5 3
b  _____
16 8
16 1
c  _____
64 4
1 5
d  _____
2 8
(1 mark)

Mathematics department Trinity Church of England School, Belvedere

11 Tick all the correct statements.
9 3 3
a   _____
10 10 5
3 1 4
b   _____
7 8 15
5 2 11
c   _____
6 9 18
5 3 2
d   _____
6 8 48

(1 mark)
7 11
12 What is the value of  ?
9 15
Circle the correct answer.
6 2 6 2
135 45 45 3

(1 mark)
13 Put these fractions in order of size, from smallest to largest.
Fraction Order (1 to 4)
25
11
33
7
32
9
1
4
4
(1 mark)
14 Work out the value of:
7 13
4 +2
9 18
as a mixed number in its simplest form.
Circle the correct answer.
11 22 27 1
3 6 6 7
27 27 18 2

(1 mark)
15 Work out the value of:
1 11
6 –1
4 12
as a mixed number in its simplest form.
Circle the correct answer.
1 2 14 1
4 5 5 8
3 3 12 6

(1 mark)

Mathematics department Trinity Church of England School, Belvedere

16 Which subtraction has the answer that is closest to 1?
Tick the correct answer.
4 5
a 4 –3 _____
5 6
3 4
b 3 –2 _____
4 5
1 3
c 2 –1 _____
3 4

Answer: ________ (2 marks)

17 Put these angles in order of size, from largest to smallest.
Angle Order (1 to 4)
right
reflex
acute
obtuse

(1 mark)

18 Calculate the size of each unknown angle.

Answers: a =________ ° b =________ ° (2 marks)

19 Calculate the size of each unknown angle.

Answers: c =________ ° d =________ ° (2 marks)

20 Calculate the value of x.

Answer: ________ ° (1 mark)

21 What word describes the angles shown here?

Mathematics department Trinity Church of England School, Belvedere

 Tick the correct answer.
a alternate _____
b corresponding _____
c opposite _____
d reflex _____
(1 mark)
22 Which of these quadrilaterals always have diagonals that bisect each other?
Tick all those that are correct.
a rectangle _____
b kite _____
c parallelogram _____
d square _____
e rhombus _____
f trapezium _____
(1 mark)
Total marks _____ /25

Non-calculator Section F

1 Calculate the sizes of the angles marked p, q, r and s in this right-angled triangle.

Choose a reason (a, b, c, d or e) to justify each one.

a Angles in a triangle add to 180°.
b Opposite angles are equal.
c Angles at a point add to 360°.
d Angles on a straight line add to 180°.
e Two angles in an isosceles triangle are equal.

Answer: angle p is________° because of reason________ (1 mark)

Answer: angle q is________° because of reason________ (1 mark)
Answer: angle r is________° because of reason________ (1 mark)
Answer: angle s is________° because of reason________ (1 mark)
2 Simplify this expression.
1 1 1 3 7
3 x  2 y 1 x 1 y  x
2 4 4 4 8

(4 marks)
Total marks _____ /8
Non-calculator

Mathematics department Trinity Church of England School, Belvedere

Section G
1 What are the coordinates of point C?
Tick the correct answer.
a (–2, 3) _____
b (–3, –2) _____
c (–2, –3) _____
d (–3, 2) _____

(1 mark)
2 In which quadrant is point D?
Tick the correct answer.
a First _____
b Second _____
c Third _____
d Fourth _____

(1 mark)

3 ABCD is a rectangle.
What are the coordinates of D?
Tick the correct answer.
a (8, 8) _____
b (7, 7) _____
c (7, 8) _____
d (8, 7) _____

(1 mark)

4 In this relationship y is 3 less than twice x, or y = 2x – 3.

What coordinate should go where the * is? y = 2x – 3

x→y Coordinates

–1 → 5 (–1, –5)

0→ (0, )

1→ (1, *)
Answer: ________ (1 mark)
5 What are the equations of graph A and graph B?

Mathematics department Trinity Church of England School, Belvedere

 Tick the correct answer.
a A is x = 4 and B is y = 2 _____
b A is y = 4 and B is x = –2 _____
c A is x = 4 and B is y = –2 _____
d A is y = 4 and B is x = 2 _____

(1 mark)

6 Tick all the equations of graphs that pass through the point (2, 5).
a y=x+3 _____
b y = 2x + 5 _____
c y = 2x – 8 _____
d y = 6x + 3 _____

e y = 12 x + 4 _____

(1 mark)

7 Which is the graph of y = –x?

Answer: ________ (1 mark)

8 Tick all the points that are not on graph A.

a (4, 2) _____
b (2, –1) _____
c (0, 0) _____
d (–2, –4) _____
e (–4, 2) _____

(1 mark)

9 Which is the graph of x + y = –5?

Mathematics department Trinity Church of England School, Belvedere

 Answer: ________ (1 mark)

10 This graph can be used to convert between miles and kilometres.

Tick all the correct statements.

a 5 kilometres is about 3 miles _____
b 1 miles is about 0.6 kilometres _____
c 4 miles is about 6.4 kilometres _____
d 3 kilometres is about 5 miles _____
(1 mark)
11 A shape is chosen at random from this box.
Write the number of the probability outcome
next to the event.

Event Outcome

The shape has 4 sides Certain 1

The shape is a circle Impossible 2

The shape has 5 sides Evens 3

The shape has straight sides Likely 4

The shape has one or more sides Unlikely 5

(2 marks)

Mathematics department Trinity Church of England School, Belvedere

 12 Pasha rolls a fair dice.
Tick the true statements.
a P(6) is less than P(1) _____
1
b P(3) = _____
6
1
c P(prime number) = _____
2
1
d P(3 or 4) = _____
3
(1 mark)

13 Claudia has 10 coloured cubes in a tin: 5 are yellow, 2 are blue and 3 are red.
Tess takes one without looking.
Tick the true statements.
a P(red cube) = 0.3 _____
b P(green cube) = 0 _____
c P(blue cube) is more than P(red cube) _____
4
d P(cube is not blue) = _____
5
(1 mark)

14 A teetotum is a spinner that was used in playing games.

This teetotum has the numbers 1 to 12 on it.
Two are spun and the numbers shown are added.
Tick the true statements.
a P(total is 1) = 0 _____
b There are 23 possible outcomes. _____
c P(a total less than 25) = 1 _____
1
d P(total is 24) = _____
144

(1 mark)
15 Lucy’s pocket contained six coins:
1p, 2p, 5p, 10p, 20p and 50p.
Unfortunately she lost it but Kitty found it.
So Lucy gave Kitty two coins as a reward.
Use the sample space diagram to help you
tick the correct statements.
1
a P(reward is 70p) = _____
10
3
b P(reward is less than 20p) = _____
10
1
c P(reward is 7p) = _____
20
3
d P(reward contains the 20p piece) = _____
10

Mathematics department Trinity Church of England School, Belvedere

 (2 marks)
16 Match these percentages with the fractions.
Write the correct letter in the % column.
Fraction %

5 A 12.5%
4

3 B 30%
10

4 C 65%
5

13 D 125%
20

1 E 80%
8

(2 marks)

17 Match these percentages with the decimals.

Write the correct letter in the % column

Decimal %

0.07 A 17%

1.77 B 77%

0.17 C 170%

1.7 D 7%

0.77 E 177%

(1 mark)

5
18 Work out of £96.
8

Answer: £________ (1 mark)

19 Ola has £400.

Mathematics department Trinity Church of England School, Belvedere

 3
She spends of it on an auction site.
5
She then spends 51% of the remainder in high-street shops.
How much money does she have left?

Answer: £________ (2 marks)

20 Put these amounts in order of size, from smallest to largest.

Amount Order (1 to 5)

9% of £430

12.5% of £160

120% of £35

33 13 % of £120

70% of £52

(2 marks)

Total marks _____ /25

Mathematics department Trinity Church of England School, Belvedere

Calculator allowed Section H

1 George conducted an experiment to determine the probabilities of how a multi-link cube

can land. He completed this table, which shows the results after the cube had been
dropped 100, then 200, then 300, then 400, then 500 times.

In 500 drops the cube landed with the knobble up 62 times.

a What was the experimental probability that the cube landed with the knobble at the
side after 400 drops?
Give your answer as a decimal.

Answer: ________ (2 marks)

b What was the experimental probability that the cube did not land with the knobble
down after 300 drops?
Give your answer as a decimal.

Answer: ________ (2 marks)

2 Richie’s bank pays 3% interest each year on any amount he has in the bank.
He started the year with £9800.
a How much does he have in the bank at the end of the year?

Answer: £________ (2 marks)

b He has to pay 20% tax on the interest to the government.

How much tax does he pay?

Answer: £________ (2 marks)

Total marks _____ /8

Mathematics department Trinity Church of England School, Belvedere

Non-calculator Section I
1 How many lines of symmetry does this shape have?

Answer: ________ (1 mark)

2 What is the order of rotational symmetry for this star?

Answer: ________ (1 mark)

3 What are the coordinates of A when this shape is reflected in the y-axis?

Tick the correct answer.

a (2, 1) _____
b (–1, –2) _____
c (1, –2) _____
d (–2, –1) _____
e (–2, 1) _____
f (–1, 2) _____
(1 mark)
4 The point A is reflected in the dotted mirror line.

Circle the correct coordinates of its image.

(11, 3) (3, 11) (6, 8) (8, 6) (5, 7) (1 mark)

Mathematics department Trinity Church of England School, Belvedere

5 Which pairs show an object and its reflection in the dotted mirror line?

Circle the correct answers.

A B C D E
Answer: ________ (2 marks)

6 If you rotate this shape 90° clockwise about the origin,

what will be the coordinates of the image of A?
Circle the correct coordinates of A’s image.
(–1, 2) (–2, –1) (2, –1) (1, –2) (–1, –2)

(1 mark)

7 If you rotate this shape 90° anticlockwise about (6, 0),

what will be the coordinates of the image of C?
Circle the correct coordinates of C’s image.
(7, –3) (3, –5) (3, –1) (–3, 5) (9, 1)

(1 mark)

Mathematics department Trinity Church of England School, Belvedere

8 This photograph shows a pattern of L shapes.

Tick the correct statement by Fiona, who says:

‘That’s not my tessellation because…
a its shapes are different.’ _____
b there are gaps in the pattern.’ _____
c the pattern does not repeat.’ _____
d some shapes have been turned around.’ _____
(1 mark)

9 Which of these shapes do not tessellate?

Tick the correct answers.
a Quadrilaterals _____
b Triangles _____
c Circles _____
d Regular hexagons _____
e Regular octagons _____
(2 marks)
10 Work out the value of a.
140 – a = 80

Answer: a = ________ (1 mark)

11 Solve this equation.
5e = 37.5

Answer: e = ________ (1 mark)

12 Solve this equation.
f
 2.1
7

Answer: f = ________ (1 mark)

Mathematics department Trinity Church of England School, Belvedere

13 Solve this equation.
4(h – 7) = 20

Answer: h = ________ (1 mark)

14 Solve this equation.

k 7
8
6

Answer: k = ________ (1 mark)

15 The perimeter of this hexagon is 83 cm. Calculate the value of m.

Answer: m = ________ (2 marks)

16 Work out the size of the largest angle in this quadrilateral.

Answer: ________° (2 marks)

17 Craig thinks of a number.

He multiplies it by 4.

He then subtracts the result from 30.

His answer is 18.

What number did he think of?

Answer: ________ (1 mark)

Mathematics department Trinity Church of England School, Belvedere

18 Jack is three years older than Jill.
When the hospital doctor asked Jill how old Jack was she said:
“He is 3 years older than me and the total of our ages is 25.”
How old is Jack?

Answer: ________ years (1 mark)

19 In Wigan, Pierre collected data from 72 people about their favourite cheese.
Here are his results.
He decided to draw a pie chart to show these results.

Type of cheese Camembert Cheddar Stilton Cheshire Wensleydale

Frequency 10 19 21 3 19

What angle should he draw for Stilton cheese?

Answer: ________ ° (1 mark)

20 These pie charts show how 300 pupils in Year 7 and 270 pupils in Year 8 come to school.

Use the information to tick all the true statements.

a 30 pupils in Y7 go by car to school. _____
b More pupils cycle in Y8 than Y7. _____
c 180 pupils in Y8 walk to school. _____
d 36% of Y8 pupils get the bus to school. _____
e 45 pupils in Y7 get the bus to school _____ (2 marks)
Total marks _____ /25

Mathematics department Trinity Church of England School, Belvedere

Calculator allowed Section J
1 Bill and Ben are both keen gardeners.
They have a competition to see who can grow the biggest pumpkin, so they each plant 10
pumpkin seeds and weigh their pumpkins after picking them.
Here are their results, in kilograms.

Bill 8 12 11 4 1 18 7 10 5 22

Ben 15 16 9 12 10 14 8 7 7 9

a Work out the mean pumpkin mass for each of Bill and Ben.
What is the difference in the mean masses?

Answer: ________kg (3 marks)

b What was the difference in the range of masses between Bill and Ben?

Answer: ________kg (1 mark)

2 Marge and Lisa go ten-pin bowling.

They each bowl two frames.
The table gives information about their scores.
a What was Lisa’s best frame score?

Mean Range

Marge 8.5 11

Lisa 11 4

Answer: ________ (2 marks)

b What was the best frame score overall?

Answer: ________ (2 marks)

Total marks _____ /8

Mathematics department Trinity Church of England School, Belvedere

Non-calculator Section K
1 Which of these 3D shapes has five vertices?
Tick the correct answer.
a Cube _____
b Square-based pyramid _____
c Triangular prism _____
d Tetrahedron _____

(1 mark)
2 Which of these 3D shapes has the same number of vertices as faces?
Tick the correct answers.
a Cube _____
b Square-based pyramid _____
c Triangular prism _____
d Tetrahedron _____

(1 mark)
3 Which of these 3D shapes have some triangular faces?
Tick the correct answers.
a Cube _____
b Square-based pyramid _____
c Triangular prism _____
d Tetrahedron _____
e Hexagonal prism _____

(1 mark)
4 Tick the statements below that are always true.
a A tetrahedron has six edges. _____
b A cuboid is a prism. _____
c A pyramid has eight edges. _____
d A cuboid never has a square face. _____
e A triangular prism has three triangular faces. _____
f A cylinder is a circular prism. _____
(2 marks)

5 Which of these diagrams are accurate representations of two cubes

drawn on isometric paper?

Mathematics department Trinity Church of England School, Belvedere

 A B C

D E F

Circle the correct answers.

A B C D E F
(2 marks)

6 Which of these diagrams are not nets of cubes without tabs?

Circle the correct answers.

A B C D E F

(2 marks)

7 If you folded this net, what solid would you make?

Tick the correct answers.
a cuboid _____
b pentagonal prism _____
c pyramid _____
d hexagonal prism _____
e dodecahedron _____
Answer: ________ (1 mark)

8 This is the net of a triangular prism.

Mathematics department Trinity Church of England School, Belvedere

 What is the value of x?

Answer: ________cm (1 mark)

9 Imhotep is designing square-based pyramids.

He has put tabs on sides A, C, D and E but realises he has made a mistake.
Which of these instructions will allow him to make a proper net?
Tick the correct answers.
a Remove tab D, put a tab at B. _____
b Remove tab C, put a tab at F. _____
c Remove tab D, put a tab at G. _____
d Remove tab E, put a tab at F. _____
e Remove tab E, put a tab at G. _____
f Remove tab A, put a tab at H. _____
(2 marks)

10 How long should side A be on this sketch of the net of a cuboid?

Mathematics department Trinity Church of England School, Belvedere

 Answer: ________ cm (1 mark)

11 This is a sketch of a net of a cube.

Which side meets up with side A?

Answer: ________ (1 mark)

12 To make a cracking good crumble, Charlotte uses 80 g self-raising flour, 50 g margarine,

20 g of bran and 50 g of sugar.
Which of these ratios is the ratio of flour to bran?
Tick the correct answers.
a 8:5 _____
b 80 : 50 _____
c 1:4 _____
d 4:1 _____
e 2:5 _____

(1 mark)

13 Sir Isaac Newton made ink from 2 ounces of oak galls, 1 ounce of gum Arabic,
1
1 ounces of copperas and 10 ounces of ale.
2
Which of these ratios is the ratio of ale to copperas?

Mathematics department Trinity Church of England School, Belvedere

 Circle the correct answer.
3 : 20 1 : 10 10 : 1 20 : 3 3:4

(1 mark)

14 Sir Isaac Newton made ink from 2 ounces of oak galls, 1 ounce of gum Arabic,
1
1 ounces of copperas and 10 ounces of ale.
2
Which of these ratios is the ratio of copperas to oak galls?
Circle the correct answer.
2:1 3:4 4:3 1:2 3:2
(1 mark)

15 What is the ratio 36 : 48 in the form x : 1?

Circle the correct answer.

1 : 1.3 3:4 1.2 : 1 1.3 : 1 0.75 : 1

(1 mark)

16 This pie chart shows how a group of Year 7 pupils

travelled to school.
What is the ratio of the number of pupils who travel by bus to
the number of pupils who cycle in the form n : 1?
Circle the correct answer.
1:1 1.67 : 1 3:5 0.6 : 1 none of these

(1 mark)

17 This pie chart shows how a group of Year 7 pupils

travelled to school.
What is the ratio of the number of pupils who travel
by car to the number of pupils who come by bus
in the form 1 : n?
Circle the correct answer.
36 : 45 1 : 1.5 3:2 2:3 1 : 0.67

(1 mark)

Mathematics department Trinity Church of England School, Belvedere

18 The sides of a triangle are in the ratio 5 : 12 : 13.
If the perimeter of the triangle is 9 cm, what is the length of the longest side?

Answer: ________ cm (1 mark)

19 In a class of 30 pupils the ratio of left-handed pupils to right-handed pupils is 1 : 9.
How many pupils are right-handed?

Answer: ________ pupils (1 mark)

20 Dick and Dora share a bag of 60 marbles in the ratio 1 : 1.5.

How many more marbles does Dora get than Dick?

Answer: ________ marbles (2 marks)

Total marks _____ /25

Calculator allowed Section L

1 Bill and Ben are both keen gardeners.
They have a competition to see who can grow the biggest pumpkin, so they each plant 10
pumpkin seeds and weigh their pumpkins after picking them.
Here are their results, in kilograms.

Bill 8 12 11 4 1 18 7 10 5 22

Ben 15 16 9 12 10 14 8 7 7 9

a Work out the mean pumpkin mass for each of Bill and Ben.
What is the difference in the mean masses?

Answer: ________kg (3 marks)

Mathematics department Trinity Church of England School, Belvedere

 b What was the difference in the range of masses between Bill and Ben?

Answer: ________kg (1 mark)

2 Marge and Lisa go ten-pin bowling.

They each bowl two frames.
The table gives information about their scores.

Mean Range

Marge 8.5 11

Lisa 11 4

a What was Lisa’s best frame score?

Answer: ________ (2 marks)

b What was the best frame score overall?

Answer: ________ (2 marks)

Total marks _____ /8

Mathematics department Trinity Church of England School, Belvedere

Answers: Section A

Question Answer Marks Comment

1 514.50 1

2 – 1.3 1

3 – 9.5 1

4 – 10.1 1

5 121 1

6 a, b, c 1

7 –4 1

8 48 cm² 1

9 –8 2 1 mark for finding difference is 12

10 55 2 1 mark for finding triangle area is 30

11 33 1 1 mark for attempting to find two areas and add

12 28, 32 1
and 36

13 5, 50 and 1
75

14 16 1

15 43 2 1 mark for an attempting to list the sequences

16 3n + 9 1

17 11 2 1 mark for correct generation of terms

18 600 2 1 mark for edges as 10, 10 and 6

19 54 2 1 mark for finding the side is 3

Total 25

Answers: Section B

Question Answer Marks Comment

1a 0.7875 2 315
 0.7875
400

Mathematics department Trinity Church of England School, Belvedere

 1b 0.92 2 276
 0.92
300

2a £10094 2 £9800 + £294

2b £58.80 2 20% of £480 = £58.80

Total 8

Answers: Section C
Question Answer Marks Comment
1 a and d 1 No others should be ticked
2 d 1
3 c 1
4 d 1
5 £12.35 1 £50 – £37.65
6 d, a, b, c 1
7 6 1 1 packet costs £1.55
8 a, b, c 1
9 a, d 1
10 b, a, c, d 1
11 £61.79 2 1 mark for finding the area of the rectangle is 7.4 m2
12 27.2 1 It goes 6.8 miles on 1 litre
13 55 1 0.18 ml in one day
14 2.35 2 The range is £(4.25 – 1.90) and the median lies between £3 and £3.20
3.10
15 19 2 The range is 18, so the mean is 18 and total is 90; she has 71 marks
already, so the median is 19
16 180 1 Potato is 14 of the mass
17 280 1 Missing angle is 140° and each degree represents 2 grams
18 a, c 1
19 Jill 1 1 mark for each answer
5.0–9.9 1
20 3 and 6 2 1 mark for each length
Possible lengths 7, 7, 10; 4, 10, 10
Total 25

Answers: Section D
Question Answer Marks Comment
1 60, 20 4 1 mark for getting £23 as the cost of 3 basic plus 1 scientific
1 mark for 460 ÷ 23 = 20
1 mark for 60 basic
1 mark for 20 scientific
2 354 4 1 mark for converting all time to minutes
9.1, 7.4, 6.3, 8.2, 10.5
1 mark for ordering
6.3, 7.4, 8.2, 9.1, 10.5
1 mark for realising the extreme value is 5.9 or 10.9, if median is 7.8
then they need to have 5.9
1 mark for converting 5.9 minutes to seconds
Total 8
These two questions are aimed at the old NC level 7.

Mathematics department Trinity Church of England School, Belvedere

Answers: Section E
Question Answer Marks Comment
1 12 1
2 11 1
3 e, f 1
4 c 1
5 a, b, c 1 All expressions work
6 60 1 C  10  2.5  20
7 122 1 9  50
F  32
5
8 d 1
9 b, d 1
10 b, c, d 1
11 a, c 1
12 2 1 Lowest common denominator is 45
45
13 1, 4, 2, 3 1 Comparison easy if changed to mixed numbers
14 7 12 1 Convert fractional parts to 18ths
15 4 1 1 Convert fractional parts to 12ths
3
16 a 2 Differences are a 29
, b 19 11
30 20 , c 12
17 3, 1, 4, 2 1
18 113, 67 2 Can use angles on a straight line
19 107, 39 2 Angles on straight line add to 180°, angles in a triangle add to 180°
20 98 1 360 – (71 + 83 + 108)
21 a 1
22 a, c, d, e 1
Total 25

Answers: Section F
Question Answer Marks Comment
1 p: 45°, a or 4 1 mark for each one correct
e
q: 135°,d
r: 21°, a
s: 294°, c
2 3 87 x + 12 y 4 2 marks for 3 7
8 x
1
2 marks for 2 y
Total 8
These two questions are aimed at the old NC level 6.

Answers: Section G

Question Answer Marks Comment

1 b 1

2 d 1

3 c 1

4 –1 1 2  1 – 3 = –1

5 c 1

6 a, e 1

7 B 1

8 a, d 1

Mathematics department Trinity Church of England School, Belvedere

9 D 1

10 a, c 1

11 3, 5, 2, 4, 1 2

12 b, c, d 1 In part a they are equal

13 a, b, d 1

14 a, c, c 1 Scores of 2 to 24 are possible.

1
P(total is 24) = 144

15 a, b, d 2 P(reward is 7p) = 1
10

16 D, B, E, C, A 2

17 D, E, A, C, B 1

18 £60 1 5
of £96 = 5  £12
8

19 £78.40 2 Amount left after auction = £160

20 3, 1, 5, 4, 2 2 £38.70, £20, £42, £40, £36.40

Total 25

Answers: Section I

Question Answer Marks Comment

1 1 1 A diagonal line of symmetry

2 7 1 Some will only find the vertical line

3 f 1

4 (6, 8) 1

5 C, E 2

6 (1, –2) 1

7 (3, –1) 1

8 c 1

9 c, e 2

10 60 1

11 7.5 1

12 14.7 1

13 12 1 h–7=5

14 55 1 k – 7 = 48

15 6.5 2 6m + 44 = 83
6m = 39

Mathematics department Trinity Church of England School, Belvedere

16 96° 2 5g – 70 = 360
g = 86
Angles are 86°, 86°, 92°, 96°

17 3 1 30 – 4x = 18
4x = 30 – 18

18 14 1 Jill is (25 – 3) ÷ 2 = 11

19 105° 1

20 a, c, e 2

Total 25

Answers: Section J

Question Answer Marks Comment

1a 250 2 0.8 : 1 = 4 : 5 4+5=9

450 ÷ 9 = 50
1 mark for realising 1 part is 50
1 mark for 250 ml

1b 175 2 1.4 : 1 = 7 : 5 7 + 5 = 12
300 ÷ 12 = 25
1 mark for realising 1 part is 25
1 mark for 175 ml

2a 12.5 3 1 mark for realising that 4 of the square’s sides make 20 cm

1 mark for getting the side of the square to be 5 cm
1 mark for the side of the rectangle to be 12.5 cm

2b 2.5 1 Since the width of the square and rectangle are the same, the areas
are in the same ratio as the other sides, i.e. 2 : 5, though some pupils
will work out the areas and then simplify the result

Total 8

Answers: Section K

Question Answer Marks Comment

1 b 1

2 b, d 1

3 b, c, d 1

4 a, b, f 2

5 B, E 2

6 C, F 2

7 b 1

8 4 1

Mathematics department Trinity Church of England School, Belvedere

9 c, d, e 2 Need to have one tab on adjacent edges

10 4 1

11 J 1 C and D, E and F, G and B,

L and K all match up

12 d 1

13 20 : 3 1 10 : 1 1
= 20 : 3
2

14 3:4 1 1 1
: 2=3 : 4
2

15 0.75 : 1 1 36 ÷ 48 = 0.75

16 0.6 : 1 1 54 : 90 = 3 : 5 = 0.6 : 1

17 1:1 1 1 36 : 54 = 2 : 3 = 1 : 1 1
2 2

18 3.9 1 5 + 12 + 13 = 30
9 ÷ 30 = 0.3

19 27 1 1 + 9 = 10; 30 ÷ 10 = 3

20 12 2 1 : 1.5 = 2 : 3
3 + 2 = 5; 60 ÷ 5 = 12
Dora gets 36, Dick gets 24

Total 25

Answers: Section L

Question Answer Marks Comment

1a 0.9 3 Bill’s mean = 98 ÷ 10 = 9.8

Ben’s mean = 107 ÷ 10 = 10.7

1b 12 1 Bill’s range = 22 – 1 = 21
Ben’s range = 16 – 7 = 9

2a 13 2 Lisa’s total = 11  2 = 22
Lower score = (22 – 4) ÷ 2 = 9
Higher score = 9 + range = 13

2b 14 2 Marge’s total = 8.5  2 = 17

Lower score = (17 –11) ÷ 2 = 3
Higher score = 3 + range = 14

Total 8

Mathematics department Trinity Church of England School, Belvedere