Emanuel School
Mathematics
Specimen Paper
Paper Hill Form (10+)
Entry Time allowed: 1 hour
1. Your first name and surname.
2. Your present school.
3. Boy/girl:
Fill in the boxes above and read the following carefully: -
1. There are 28 questions. You should attempt all of them in any order
you like.
2. Write neatly and show all your working. It may be possible to
give you marks if your working makes sense even if your final answer is
wrong.
3. Put your answer in the space provided. If you think you have
finished check that you have answered all the questions.
4. Keep an eye on the time. Work carefully and steadily. If you
find yourself spending too long on a question move on to another one.
5. You may NOT use a calculator.
Good luck!
1. Mental Arithmetic
Do these questions in your head. So do not show any working. Write
the answers in the space beside the question.
a) 9+6 …………
b) 15 - 7 …………
c) 11 x 7 …………
d) 24 ÷ 8 …………
e) 13 x 3 …………
f) 50 - 18 …………
g) 16 + 19 …………
h) 72 ÷ 9 …………
i) 7x7 …………
j) 78 ÷ 6 …………
2. Do the following
a) 42 b) 85
+ 56 - 37
c) 785 d) 867
+ 541 - 382
3. Work out 53 + 3209 + 664
Answer
4. Do the following multiplications
a) 17 b) 56 c) 732
x 3 x 4 x 9
5. Work out the following
a) 4 2748
Answer
b) 17144 divided by 8
Answer
6. Add together
two thousand three hundred and seven
AND
one thousand and twenty-four.
Answer
7. When two numbers are added together the total is 32.
When the same two numbers are multiplied the result is
240. Find the two numbers.
Answer and .
8. What number must fit into the squares to make these sums correct?
a) 34 + = 91
b) 72 = 39
c) x 7 = 119
d) 448 ÷ = 8.
9. Sam takes a £20 note to a restaurant. He buys a burger for £3.99, a
milk shake for £1.65, and a fudge sundae for £1.80
a) How much money does he spend altogether? £
b) How much change should he get from the £20 note? £
10. a) 4 British coins in Jo’s pocket add up to 73p.
What are they?
Answer
b) 5 British coins in Arati’s pocket add up to 61p.
Three of the coins are the
same. What are the 5 coins?
Answer
11. On a very long straight road there are four villages:
Allwood, Bentham, Corford and Dunbar, which are shown in
the diagram below.
Allwood Bentham Corford Dunbar
←-4km-→
← ------------18km------------→
← -------12km ----------→
The arrows show distances between villages.
Find the distances from
a) Corford to Dunbar Answer
b) Allwood to Dunbar Answer
12.
On the axes shown A is the point (2,3)
a) Write down the coordinates of the point C. ( , )
b) Mark on the diagram the point B which is (5,5).
c) Mark on the diagram the point D so that ABCD is a square.
13.
Angola Namibia Zimbabwe Zambia
Population 10 002 000 1 203 000 9 369 000 8 456 000
Area in square kilometres 1 246 700 823 168 390 759 752 614
Highest mountain in metres 2610 2579 2592 2164
The table above shows some information about four African
countries. Answer the following questions using the table.
a) Which country has the largest area?
b) Which country has the smallest population?
c) Which country has the third highest mountain?
d) Which country is the most densely populated
(most people for each square kilometre of land)?
14. Sophie thinks of a number, doubles it and adds 8.
The answer was 26. What was the number she was thinking of?
Answer
15. Find the next two numbers in each of the following sequences
a) 1, 8, 15, 22, 29, ,
b) 4, 6, 9, 13, 18, ,
c) 96, 48, 24, 12, 6, ,
d) 3, 4, 7, 11, 18, 29, ,
16. Below is a pictogram showing the method by which year seven boys
come to school. How many
a) come by bus Answer
b) come by car Answer
Walking
Bus
Bicycle
Car
Represents 5 boys
17.
6 cm 2 cm
3 cm
12 cm
a) What is the area of the rectangle
Answer
b) How many small rectangles of the size shown will fit into the
rectangle above?
Neither diagram is drawn to scale.
Answer
18.
In the British Army there are 4500 men who are taller than 180 cms.
Of these 750 are taller than 190 cms. How many men are there who
are between 180 and 190 cms tall?
Answer
19.
The pie chart shows the activities of a group of children on a Saturday
morning. 8 children went to the library.
a) How many children went swimming?
b) How many children went shopping?
c) How many children were there altogether in the group?
20.
When aunt Jane comes to visit, Tom always goes out to play. Last Sunday,
aunt Jane came to visit. It was raining.
The following sentences are either TRUE, or FALSE, or NOT CERTAIN.
Ring the one you think applies to each sentence.
a) Tom went out to play. (True / False / Not certain)
b) Aunt Jane and Tom both went out to play. (True / False / Not certain)
c) As it was raining Tom stayed inside last Sunday. (True / False / Not certain)
21.
A train leaves London at 10.35 a.m. and arrives in Exeter 3 hours and 35
minutes later. What time does it arrive?
Answer
22.
576 x 8 = 4608
23040 + 4608 = 27648
Without doing any more calculations give the answers to:
a) 576 x 4 =
b) 576 x 40 =
c) 576 x 48 =
d) 27,648 - 23,040 =
23.
A list of angles is given below
179°, 10°, 47°, 273°, 81°, 330°
How many acute angles are there in the list?
24. A rule for a number sequence is ‘multiply by 2 and subtract 7’.
a) Write down the next number in the sequence
8→ 9→ 11→ 15
b) Here is part of another number sequence with the same rule.
Write down the first number which is missing.
→ 17 → 27 → 47 → 87
25. Put a single number in the boxes to make each of these sums correct
a) 6 5 b) 5 4
+ 2 2 7 -2 7 9
0 0
26.
The diagram shows Woody the ant
setting off for a walk he took recently in
search of food. On this journey Woody
walked a certain distance and turned
right. Each time he turned right he
walked 2 metres less than he did the
time before.
On the last part of his journey before stopping he walked one metre. How
far did he walk altogether?
Answer
27.
Draw out a 3 by 3 grid like that shown.
Place the numbers 2 2 2 3 3 3 4 4 4 in it so that when any line of
three numbers is added up in any direction (including diagonally), the
total is always 9.
Answer
28. Choose from this set of numbers
5, 6, 7, 8, 9, 10, 11, 12
a) two multiples of 6 Answer and .
b) two factors of 18 Answer and .
c) a square number Answer and .
d) two prime numbers Answer and .
Well done! This is the end of the test.
Now check your answers carefully.
