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11 + MATHS Test 6
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INSTRUCTIONS

Please read the following instructions carefully before beginning the test.

• Do not begin or open this booklet until told to do so

• You have 50 minutes to complete this test
• Either ring, underline or write the correct answer to each question asked
• Work quickly and carefully
• Rough working may be done on a separate piece of paper
• Write answers clearly and cross out any mistakes
• Only cross out mistakes if you have another answer to replace it with
• There are 50 questions, try to complete them all

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Tuition For You 11+ Mathematics Practice Test 6

Look at the box of numbers and answer the following

questions:

169 8 20 3.02
6 5 144 50
0.25 2.5 156 3.2

1 Find the number that is 23

2 What number represents 25% as a decimal?

3 Find 10% of 32

4 The number equal to 132 is:

5 1/5 can be written as what percentage?

Decode the following sums:

6 3x = 20 – 5 = =

7 17 x 2 = 68 divided by =

8 20% of 30 = 500 - =

9 202 + 20 = 500 - =

10 1/5 + 3/4 = 2- =

Find the order of rotational symmetry of the following

shapes:

11

12

13

14

15

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Tuition For You 11+ Mathematics Practice Test 6

What shape am I thinking of?

16 It has two pairs of parallel, equal sides but not at right angles

17 A three–sided shape, two of the sides are equal

18 A quadrilateral with 4 equal sides

What number am I thinking of …

19 If I double it, add 2 and then halve it to get 15

20 If I divide it by 4 and subtract 4 to get 21

Work out the number pattern in the table and fill in the
numbers below:

5 6 b 8 9 e
25 a 49 c d 100

21 a=

22 b=

23 c=

24 d=

25 e=

Look at this number: 3569.21

26 What place value column is the 5 in?

27 Give the number that is one more than the original number

28 Multiply the given number by 10

29 What digit is in the thousands column?

30 Subtract 10 from the given number

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Tuition For You 11+ Mathematics Practice Test 6

The Bar Chart below represents how much money five

children raised from a recent charity event. Answer the
questions that follow:

30

25

20

15

10

0
Ben Amy Sally Paul Luke

Child's Name

31 What is the range of money collected?

32 What is the median amount of money collected?

33 What was the average amount collected?

34 Give the amount Ben collected as a fraction of Luke’s

35 Give the amount Paul collected as a fraction of Sally’s

Convert the following measurements:

36 40mm = cm

37 1.2cm = mm

38 1.5km = m

39 200g = kg

40 2 foot = inches

41 What is the first prime number after 61?

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Tuition For You 11+ Mathematics Practice Test 6

42 List the factors of 36

43 If 2 apples and 1 banana cost 65p in total and the total of

one of each fruit is 40p, how much does one banana cost?

44 How many seconds in 1 hour?

45 How many degrees are there in 4 triangles?

46 If a piece of string is 1.4m long and I cut it into quarters,

how long is each piece?

47 I arrive at work at 9.17 am but I am 52 minutes late.

What time should I have arrived?

48 What is the area of this shape?

49 I eat 1/5 of a piece of cake. What angle did I cut the cake?

50 I spend 2/7 of a week studying. How many hours is that?

End of Maths Test 6

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Tuition For You 11+ Mathematics Practice Test 6

Maths Test 6 Answers & Working

Hello!
Hopefully you have used our answers and marked your
test. Use this section to learn the best way to complete the
test in the shortest time. Learn from your mistakes!

Personal Tutor
Good luck!
From your

1 23 = 2 x 2 x 2 = 8
2 25% = ¼ = 0.25
3 To find 10% we need to divide by 10: 32 ÷ 10 = 3.2
4 132 = 13 x 13 = 169
5 1/5 = 100 ÷ 5 = 20 =
20%
We need to find the answer to one side of the equation first,
and then find the number that will make it balance:

6 20 - 5 =15 and 3 x 5 = 15 =5
7 17 x 2 = 34 and 68 ÷ 2 = 34 =2
8 20% of 30 = 6 and 500 – 494 = 6 = 494
9 202 + 20 = (20 x 20) + 20 = 400 + 20 = 420
500 – 80 = 420 = 80
10 Change to decimals to make it easier.
1/5 + 3/4 = 0.2 + 0.75 = 0.95 2 - 1.05 = 0.95
= 1.05

Remember: rotational symmetry means how many times the shape

will sit back on itself when turned through 360°.

The minimum order is 1: It only looks the same when turned

through a complete turn (360°) and brought back to the original
position

11 A square has order of rotational symmetry 4: every time it is

turned through 90° it looks exactly the same as all sides are 4
equal.

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Tuition For You 11+ Mathematics Practice Test 6

Maths Test 6 Answers & Working

12 Be careful: this is an elliptical shape and not a perfect circle!

Order of rotational symmetry = 2
13 It has got 3 equal sides. This triangle will look the same when
tuned through 360° and returns to its original position 3 times, 3
every 120°. Order of rotational symmetry =

14 Rectangle: order of rotational symmetry = 2

15 This is NOT a regular octagon as some sides are longer than 2
others. Order of rotational symmetry =

Note: If you did not get these answers, use tracing paper to draw the
shapes and turn through 360° to see how many times they look like
the original shape.

16
Rhombus
17 Isosceles triangle

18 Square
Use a number machine and its inverse to find what went it

19 x x2 +2 ÷2 15
14 ÷2 -2 x2 15 14
20 x ÷4 -4 21
100 x4 +4 21 100
You need to realise that the table contains square numbers.
E.g. 5 x 5 = 25. You also need to know the opposite of squaring;
the square root

21 a=6x6= 36
22 b = √49 = 7
23 c=8x8= 64
24 d=9x9= 81

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Tuition For You 11+ Mathematics Practice Test 6

Maths Test 6 Answers & Working

25 e = √100 = 10
26 Hundreds column
Hundreds
27 3569.21 + 1 =
3570.21
28 When we multiply a decimal by 10, we move the decimal place
1 place to the right
3569.21 x 10 = 35692.1

29 3 is in the thousands column 3

30 3569.21 – 10 = 3559.21
Make sure you understand what the graph represents before you
attempt the question.

31 Range = biggest amount – smallest amount. Look at the graph:

Luke raised £25 and Paul raised £2.50 £22.50
£25 - £2.50 =

32 Median = middle number when the numbers are in order.

Write the amounts shown by the graph (£5, £20, £10, £2.50, £25)
in order: £2.50, £5, £10, £20, and £25 £10
£10 is the middle amount: it is the median.

33 Average (mean) = total collected / number of collectors

Total = £5 + £20 + £10 + £2.50 + £25 = £62.50 £12.50
= £62.50 / £5 collectors

34 Ben collected £5. Luke collected £25. 1

So we have 5 = 1 (divide top and bottom by 5)
25 5
5

35 Paul collected £2.50 and Sally collected £10

£2.50 goes into £10 four times = ¼
36 10mm = 1cm therefore 40mm = 1cm x 4 4cm
37 10mm = 1cm therefore 1.2cm x 10 = 12mm
38 1000m = 1km therefore 1.5km x 1000 = 1500m

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Tuition For You 11+ Mathematics Practice Test 6

Maths Test 6 Answers & Working

39 1kg = 1000g therefore 200g ÷ 1000 = 0.2kg

40 1 foot = 12 inches 2 foot = 2 x 12 inches =
24 inches
41 Remember prime numbers only have factors of 1 and themselves.
62 is not prime as it is divisible by 2 (62 ÷ 2 = 31)
63 is not prime (63 ÷ 9 = 7)
64 is not prime (64 ÷ 2 = 32)
65 is not prime (65 ÷ 5 = 13) 67
66 is not prime (66 ÷ 2 = 33)
67 is prime: we can only do 67 ÷ 1 and 67 ÷ 67

42 To find the factors of 36, we need to find all the multiplication pairs
that make 36:
1 x 36 = 36 2 x 18 = 36 3 x 12 = 36 4 x 9 = 36 6 x 6 = 36 1, 36, 2, 18, 3,
12, 4, 9, 6
Write these numbers out as a list:

43 Summarise what we know as algebra equations:

a = apple b = banana
2a + b = 65p Subtract the bottom equation from the top
- a + b = 40p a = 25p b = 15p
If an apple = 25p and one apple + one banana = 40p (a + b = 40p)
then

44 1 hour = 60 minutes
1 minute = 60 secs 3600 seconds
60 mins = 60 x 60 =

45 1 triangle = 180°
720°
4 triangles = 180 x 4 =

46 If you cut it into quarters, you are cutting it into 4 pieces. The
easiest way to divide this decimal by 4 is to half it and half it again
Think of money!
0.35
½ of 1.4 = _ of £1.40 = 70p
½ of 70p = 35p (don’t write your answer as pence!)

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Tuition For You 11+ Mathematics Practice Test 6

Maths Test 6 Answers & Working

47 We need to subtract 52 minutes from 9.17am. The easiest way is to

first subtract 1 hour (60mins)
9.17am – 1 hour = 8.17am
8.25am
Then add on the extra 8 mins you did not need to subtract
8.17am + 8mins =

48 It looks more complicated than it is! Look at it as a parallelogram

of length 10cm and height 5cm.

5cm 50cm2
10cm
Area of a parallelogram = base x height 10cm x 5cm =

49 The cake is a circle that contains 360°

1/5 of 360° = 360° ÷ 5 = 72°

50 The question is easier than you think:

2/7 of a week is just 2 days out of 7 days 48 hours
One day is 24 hours, therefore 24 x 2 =

End of Answers and Working to Maths Test 6

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