11+ MATHEMATICS ENTRANCE EXAMINATION
SPECIMEN PAPER
NAME ______________________________________________________
Time allowed: 45 minutes
Answer as many questions as you can.
You are not expected to answer every question.
Do not spend too long on one question.
If you cannot do a question, miss it out.
Show your working clearly.
You are not allowed to use a calculator.
2
1. Work out :
a) 3256 + 457
...............................
b) 4103 ─ 548
...............................
2. Multiply 34 by 59
...............................
3. Divide 2002 by 7
...............................
3
4. How many days are there in 9 weeks?
...............................
5. Write down the next number in each of these sequences
a) 2, 5, 8, 11, 14, ……
b) 6, 10, 15, 21,…..
c) 4, 5, 9, 14, 23 ………
6. How many 5 p coins are required to make £10?
...............................
7. Mary did a survey to find out how her class travelled to school. Here are her results:
Walk 12
Bus 8
Car 10
Write down the fraction of pupils who travel by bus in its simplest form.
...............................
8. Mrs Miggins won £1200 in a prize draw. She gave one fifth to her daughter. How
much did she have left?
_________________
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9. The instructions for cooking a chicken are ‘cook for 35 minutes for each kilogram plus
20 minutes extra’.
Rita wants to cook a chicken of mass 3 kg.
a) How long should Rita cook the chicken for?
_____________________
b) Sarah cooks a chicken that takes 1 hour 45 minutes to cook. She starts cooking at
11.30 a.m. at what time will it be ready?
_____________________
________________________________________________________________________
10. Draw a circle around the fractions which are the same as 1/3
2
/5
3
/9
3
/6
4
/6
4
/12
________________________________________________________________________
11. Grapefruit cost 45 p each. Oranges cost 30 p each. David buys some oranges and 5
grapefruit. He spends £3.45 altogether. How many oranges does David buy?
________________________________________________________________________
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12. Arrange the following numbers in order of size, starting with the smallest
a)
0.74, 1.2, 0.08, 0.748
b)
⅔, ⅜, ½ , ¾
..............................
..............................
________________________________________________________________________
13. A ball of string is 3 metres long. It is cut into 10 equal pieces.
How long is each piece?
__________________
________________________________________________________________________
14. Calum is playing a game. He thinks of a number, adds 3 and then doubles the result.
He writes down the answer he gets.
a) If the number he thinks of is 13, what number does he write down?
_____________
b) If the answer he writes down is 28, what number did he think of?
_____________
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15. The diagram shows a rough sketch of Bobbi’s lawn, which is a rectangle.
8m
12 m
The width of the lawn is 8 m. The length of the lawn is 12 m.
a) Work out the area of the lawn.
__________________m2
Bobbi is planning to make a path all the way round the outside of the lawn.
She is going to use paving slabs which are squares of side 1 m.
b) How many slabs does she need to buy?
_________________
________________________________________________________________________
16.
a) What is the name of this shape?
...........................
b) Draw in all the lines of symmetry
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17. A school is arranging three outings for its pupils. The table below shows how many
pupils have chosen each trip.
Boys
Girls
Art Gallery
29
27
Museum
28
25
Theatre
39
33
For example, the table shows that 28 boys are going to the museum.
a) How many boys are there altogether?
_____________
b) How many pupils are going to the museum?
_____________
c) Tickets for the theatre trip cost £12 per pupil. How much money must be collected
altogether to pay for the theatre tickets?
_____________
d) The pupils going to the Art gallery are to travel by minibus. Each minibus can take 14
passengers. How many minibuses are required for the Art gallery trip?
_____________
________________________________________________________________________
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18. This bar graph shows the number of pupils absent from a school each day last week
fri
Day
thur
wed
tue
mon
0
2
4
6
8
10
Number Absent
a) On which day were the most pupils absent?
________________
b) On which day were there 5 pupils absent?
________________
c) How many pupils were absent altogether last week?
________________
19. a) Fill in the missing numbers to make the sums across and down correct
50
x
=
÷
+
60
12
÷
=
=
=
x
=
15
9
b) Fill in the missing symbols to make the sums across and down correct
64
8
=
72
8
0.5
=
4
=
=
8
16
=
128
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20. This year January 18th is a Tuesday. There are 31 days in January.
a) What was the date of the first Sunday in January?
________________
b) What day of the week is February 18th?
________________