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ENTRANCE EXAMINATION
11+ MATHEMATICS
(FIRST FORM ENTRY)
Time allowed: 1 HOUR
Fill in these details now:
SURNAME:
FIRST NAME:
DATE OF BIRTH:
PRESENT SCHOOL:
DO NOT OPEN THIS BOOKLET UNTIL YOU ARE TOLD TO DO SO
Answer as many questions as you can.
There are two sections to this paper. Section A is multiple choice.
In Section B you should write your answers in the spaces provided.
Marks can be obtained for correct methods so show your working clearly in the space
near the question.
If you are not sure about a question leave it and go on to the next one. You can return
to any you have missed out at the end if you have time.
MARKS
Section A
25
Section B
31
TOTAL
56
SECTION A – MULTIPLE CHOICE
Answer ALL TWENTY-FIVE questions by circling the correct answer.
If you wish to change your answer, put a cross through the previous
choice and circle your new answer.
USE THIS SPACE FOR ANY WORKING OUT YOU NEED TO DO
1
What is 6890 when rounded to the nearest hundred?
A
6800
2
B
7900
C
6900
D
7090
E
7000
Here are the first four terms of a number sequence.
4
7
10
13
What is the next term of the sequence?
A
14
3
C
18
D
15
E
17
B
363
C
273
D
373
E
337
500 – 237 =
A
263
4
B
16
Here are some patterns made from dots.
Pattern 1
!
! !
Pattern 2
Pattern 3
!
! !
! ! !
!
! !
! ! !
! ! ! !
What is the number of dots in Pattern 4?
A
14
B
18
C
17
D
15
E
16
5
Look at the number line.
What number is shown by the arrow?
A
102.1
6
D
102.3
E
102.2
C
6
D
45
E
3
C
0.09 cm
D
900 cm
E
0.9 cm
D
£2.80
E
£4.76
B
15
What is 9 metres in centimetres?
A
90 cm
8
C
102.4
Which of these numbers is a multiple of 9?
A
19
7
B
102.25
B
9000 cm
Oranges cost 24p each.
Raja buys 5 of the oranges.
He pays with a £5 note.
How much change should he get?
A
£3.80
B
£4.20
C
£1.20
9
The points A, B, C, D and E are shown on a grid.
Which point has coordinates (–4, 3)?
A
A
10
B
B
C
C
D
D
E
E
D
26 cm
E
40 cm
Here is a rectangle.
What is the perimeter of the rectangle?
A
18 cm
B
13 cm
C
21 cm
11
–7 + –2 =
A
9
12
What is
!"
#"
A
0.15
B
C
D
E
–5
–9
– 14
5
D
0.25
E
0.02
when written as a decimal?
B
0.2
C
1.5
13
What is the size of the angle marked x?
A
112°
14
C
122°
D
238°
E
312°
B
15
C
8
D
–15
E
–2
C
2 hours
9 minutes
D
2 hours
29 minutes
E
1 hour
31 minutes
–3 ! –5 =
A
–8
15
B
302°
A train leaves London at 16.53
It arrives in Peterborough at 18.22
How long does the journey take?
A
1 hour
29 minutes
B
2 hours
31 minutes
16
What is 0.32 when written as a fraction?
A
2
3
17
B
3
2
C
32
1000
D
32
10
E
32
100
C
24 cm"
D
28 cm"
E
48 cm "
1
4
1
2
0.3
Here is a parallelogram.
What is the area of the parallelogram?
A
21 cm"
18
B
14 cm"
Here is a list of numbers.
0.4
1
3
Sally is going to write the numbers in order of size.
She writes the smallest number first.
Which number should she write next?
A
0.4
19
B
1
3
C
1
4
D
1
2
E
0.3
The number 37.68 correct to 1 significant figure is
A
40
B
38
C
37.7
D
4
E
30
20
Here is an isosceles triangle.
What is the size of the angle marked x?
A
50°
21
B
60°
C
40°
D
80°
E
70°
C
58
D
54
E
56
$%!"&"'%$"
!'%$"
?
D
4
E
3
Paul buys some stamps.
The cost of each stamp is 25p.
The total cost of the stamps is £14
How many stamps does Paul buy?
A
46
22
B
64
Which is the best estimate for the value of
A
5
B
2.5
C
30
23
Here is a triangle.
What is the area of the triangle?
A
7.5 cm"
24
B
10 cm"
C
12 cm"
D
6 cm"
E
30 cm"
D
3835.2
E
3.8352
D
(4, 5)
E
(1, 4)
Given that 47 ! 81.6 = 3835.2
What is the value of 0.47 ! 816?
A
383.52
25
B
38352
C
38.352
The coordinates of the point A are (–3, 9).
The coordinates of the point B are (5, 1).
M is the midpoint of the line AB.
What are the coordinates of the point M?
A
(2, 8)
B
(1, 5)
C
(2, 5)
SECTION B
ANSWER ALL QUESTIONS IN THE SPACES PROVIDED
REMEMBER TO SHOW WORKING WHERE NECESSARY
26
The radius of the Moon is 1737 km.
(a)
Write the number 1737 in words.
..................................................................................................................
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The average distance of the Moon from the Earth is three hundred and
eighty-four thousand, three hundred and ninety-nine kilometres.
(b)
Write the number three hundred and eighty-four thousand, three
hundred and ninety-nine in figures.
..................................................................................................................
27
(a)
Work out
(i)
3!6+4
..................................................................................................................
(ii)
!"#$%&'(#
20 – 8 ÷ 2
..................................................................................................................
(b)
!"#$%&'(#
Work out an estimate for
!)#$%&'*(#
!(%)"*"+%,$"
,%,'"-"#%'"
..................................................................................................................
!)#$%&'*(#
28
The incomplete pictogram shows the number of letters received by Mr. Brown
on each day in one week.
(a)
Write down the number of letters Mr. Brown received on
(i)
Monday,
..................................................................................................................
(ii)
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Wednesday.
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Mr. Brown received 8 letters on Friday.
(b)
Show this on the pictogram.
Mr. Brown received a total of 32 letters in the week.
(c)
Work out how many he received on Saturday.
..................................................................................................................
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!)#$%&'*(#
29
A bag contains 3 red counters, 5 blue counters and 2 yellow counters.
A counter is picked at random from the bag.
Work out the probability that the counter picked is
(a)
red,
..................................................................................................................
(b)
not red,
..................................................................................................................
(c)
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green.
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30
!"#$%&'(#
!"#$%&'(#
Rick is given these four number cards.
(a)
Show how he can use three of the cards to make this a correct calculation.
!)#$%&'*(#
(b)
Show how he can use all four cards to make this a correct calculation.
!)#$%&'*(#
31
(a)
Write the correct numbers in the gaps below.
1
!
3
1
2
=
3
2
!
3
1
2
=
7
3
!
3
1
2
=
10
4
!
3
1
2
=
5
!
3
1
2
=
6
!
3
1
2
=
1
2
1
2
!"#$%&'(#
!"#$%&'(#
21
Use the table to help you work out this calculation.
60 !
(b)
Is the answer to
Yes
3
!+" &"
1
2
=
."
!"
)"
!"#$%&'(#
a whole number?
No
Explain your answer.
..................................................................................................................
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32
This diamond shape is called a rhombus. It is nothing more than a pushed over
square.
(a)
How many lines of symmetry does it have?
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..................................................................................................................
(b)
What is its order of rotational symmetry?
..................................................................................................................
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A parallelogram has two pairs of parallel sides. It is really just a pushed over
rectangle.
(c)
How many lines of symmetry does it have?
..................................................................................................................
(d)
!"#$%&'(#
What is its order of rotational symmetry?
..................................................................................................................
!"#$%&'(#
33
Put a name to each of these solids
(a)
.....................................
(b)
!"#$%&'(#
(c)
.....................................
!"#$%&'(#
(d)
!"#$%&'(#
(e)
.....................................
.....................................
.....................................
!"#$%&'(#
(f)
!"#$%&'(#
.....................................
!"#$%&'(#
34
The diagram shows a square with a perimeter of 12cm.
Six of these squares fit together to make a rectangle.
What is the area of the rectangle?
You must give the correct unit with your answer.
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END OF EXAMINATION
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