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11 Plus Math Test -Dec

Total questions: 51

Worksheet time: 2hrs 35mins

Name
Class
Date
1.

Radha's salary package is £18,000 per annum. What is her monthly Income?

a)

£650

b)

£150

c)

£1250

d)

£1,500

2.

Find the cost of 2 cans of cola at 22p each, 6 packets of crisps at 6p each and 5 bars of chocolate at 41p each.

a)

£3.85

b)

£2.85

c)

£7.85

d)

£1.85

3.

Jack buys 2 books at £1.90 each. What change will he receive if he gives the shopkeeper a £5 note?

a)

£1.20

b)

£2.10

c)

£3.20

d)

£1.30

4.

Linda inputs the number 16 into her number machine. She instructs the machine to halve the input number and then subtract 7. What output can Linda expect to receive?

a)

15

b)

9

c)

3

d)

1

5.

What number does the Roman numeral DXLIV represent?

a)

18

b)

241

c)

544

d)

534

6.

Which is bigger: MCMXXV or 2021?

a)

MCMXXV

b)

2021

c)

Both are equal

d)

cannot be predicted

e)

Need more information

7.

What is the RANGE of the following numbers? 5, 5, 5, 5, 5

a)

0

b)

1

c)

5

d)

6

e)

16

8.

What is the MEAN of the following numbers? 34, 7, 2, 8, 19

a)

12

b)

14

c)

32

d)

7.5

e)

6

9.

Which of the following numbers is a prime and triangular number?

a)

2

b)

3

c)

1

d)

5

e)

16

10.

Which number is a square, cube, and triangular number?

a)

2

b)

1

c)

3

d)

216

e)

9

11.

If a wheel turns through 720 degrees how many times has it rotated?

a)

Once

b)

720 times

c)

twice

d)

three times

e)

72 times

12.

How many years are there in a decade?

a)

12

b)

10

c)

365

d)

30

e)

28

13.

Calculate 3.5 x 5.872

a)

29.986

b)

23.6

c)

18.987

d)

20.552

e)

25.97

14.

How many degrees are there round a point?

a)

160

b)

365

c)

360

d)

180

e)

90

15.

Tom is facing North. He turns through 270 degrees in a clockwise direction. Where is he now facing?

a)

South east

b)

West

c)

North west

d)

East

e)

North

16.

The bar chart shown represents the number of different coloured cars in one of the car parks. How many of the cars are red?

a)

15

b)

20

c)

20%

d)

30

e)

5

17.

What is the size of angle k?

a)

180°

b)

40°

c)

360°

d)

60°

e)

30°

18.

Tom's clock shows that the time is exactly half past 8. What is the size of the angle between the hour hand and the minute hand?

a)

180°

b)

40°

c)

360°

d)

75°

e)

30°

19.

Priya eats 2 grapes for every 7 pages she reads. How many grapes will she eat if she reads 98 pages?

a)

38

b)

28

c)

12

d)

14

e)

196

20.

How much do 10 plates cost in pounds? The graph below shows the cost of plates at Claymore Pottery Studio.

a)

£35.00

b)

£32.00

c)

£27.50

d)

£17.50

e)

£25.50

21.

Which of the following could be Hayley's height when she was 7 years old? The line graph below shows Hayley's height over time. Part of the line is missing.

a)

121 cm

b)

153 cm

c)

103 cm

d)

149 cm

e)

116 cm

22.

Sam cuts a circular cake into three unequal slices. The smallest slice has an angle of a. The second slice has an angle of 2a, and the largest slice has an angle of 3a. What is the value of a?

a)

60°

b)

72°

c)

90°

d)

45°

e)

30°

23.

Keira is planning a tiling pattern for her patio on a coordinate grid, as shown. She translates tile A seven squares right and two squares up. How many lines of symmetry does her new pattern have?

a)

4

b)

0

c)

2

d)

3

e)

1

24.

If x = 8 and y = 7, find the value of 5 xy^2.

a)

1840

b)

1480

c)

1990

d)

1490

e)

1960

25.

If a triangle has a base of 12 cm and a height of 8 cm, what is its area?

a)

68 cm²

b)

48 cm²

c)

18 cm²

d)

48 %

e)

48 cm

26.

Refer to the diagram provided. How does the number machine  transform the input number to produce the output ?

a)


  1. It multiplies the input by 0.9

b)

It multiplies the input by 1/9

c)

  1. It multiplies the input by 9

d)

  1. It adds 96 to the input

e)

  1. It multiplies the input number by 1/900

27.

4/7 of the number is 84. Find the number

a)

145

b)

247

c)

147

d)

12

e)

21

28.

At a book fair, Jack bought 18 books at 3 for £5 and had £2 left. How much money did he have at first?

a)

£17

b)

£12

c)

£32

d)

£30

e)

£22

29.

Vijay runs ten times around a square track and covers 8km. What is the length of each side of the square track?

a)

100m

b)

200m

c)

400m

d)

300m

e)

170m

30.

Steve can type 27 words per minute. How many words can he type in 45 mins?

a)

1115

b)

1125

c)

1215

d)

1512

e)

175

31.

The angle of a triangle is in the ratio of 2:3:4. Find the measure of each angle of the triangle.

a)

20,30,40

b)

40,60,80

c)

60,90,120

d)

30,45,60

e)

20,30,60

32.

The diagram below shows an isosceles triangle and an equilateral triangle. What is the size of angle d?

a)

60°

b)

75°

c)

85°

d)

45°

e)

90°

33.

x° and 3x° are angles on a straight line. What is the value of 2x°?

a)

85°

b)

45°

c)

90°

d)

89°

e)

30°

34.

The diagram shows the relative position of two ships in the North Sea. What is the bearing of ship A from ship B?

a)

70°

b)

110°

c)

3°

d)

250°

e)

070°

35.

Find the INCORRECT rearrangement of the equation: 5x + 3y - 9 = z

a)

3y - 9 = z - 5x

b)

5x = z - 3y + 9

c)

5x = z + 3y - 9

d)

3y = z - 5x + 9

e)

5x + 3y - 9 - z = 0

36.

What is an expression for the perimeter of the shape shown?

a)

  1. 5x + 11y + 5z

b)

  1. 4x + 11y + 5z + 3

c)

  1. 4x + 9y - 3z + 5

d)

4x + 11y + 8z

e)

4x - 11y + 5z + 3

37.

What is the area of the given shape?

a)

42 cm²

b)

64 cm²

c)

52 cm²

d)

64 cm

e)

12 cm²

38.

One of the shapes below is selected at random. What is the probability that the selected shape has more than 1 pair of parallel sides?

a)

0.2

b)

0.6

c)

0.4

d)

0.1

e)

0.5

39.

What is the ratio of vowels to consonants in the English alphabet?

a)

1:5

b)

5/26

c)

21:5

d)

21/5

e)

5:21

40.

What is 0.57 expressed as a percentage?

a)

5.7%

b)

0.57%

c)

43%

d)

12%

e)

57%

41.

What is the largest 3-digit number that can be made using 3 different digits?

a)

987

b)

980

c)

988

d)

978

e)

999

42.

Lucy can make 3 rabbit costumes and 2 squirrel costumes from 5 metres of fabric. How many metres of fabric will she need to make 9 rabbit costumes and 6 squirrel costumes?

a)

25

b)

15

c)

30

d)

10

e)

20

43.

A toy cost £1.5 each. How many toys can Tony afford to buy with £10?

a)

8

b)

10

c)

6

d)

12

e)

15

44.

Write the ratio 30:48 in lowest form.

a)

8:5

b)

7:10

c)

5:8

d)

15:24

e)

3:5

45.

A car costs £12,000. Rob buys the car when the price is reduced by 20%. How much does Rob pay for the car?

a)

£2,400

b)

£1,200

c)

£9,060

d)

£960

e)

£9,600

46.

Ema spends £82 on two identical bracelets and a necklace. Each bracelet costs £12. What is the cost of the necklace?

a)

£82

b)

£81

c)

£58

d)

£68

e)

£24

47.

John has 48 mushrooms. He gives all of his mushrooms to his kids so that they get 6 mushrooms each. How many kids does John have?

a)

8

b)

12

c)

14

d)

3

e)

4

48.

The battery of Rob's mobile phone lasts for 50 hours before he has to charge it again. The battery is fully charged at 9 am on Sunday morning. When will Rob have to charge the battery again?

a)

1 pm Tuesday

b)

11 am Tuesday

c)

11 pm Monday

d)

5 am Wednesday

e)

11 am Wednesday

49.

Elaine has 80 stickers. She gives ½ of them to Luke. Luke then gives ¼ of his stickers to Jenny. How many stickers does Jenny get?

a)

40

b)

30

c)

20

d)

10

e)

5

50.

Sarah thinks of a number. She multiplies the number by 8, then adds 3. The number she ends up with is 51. What number did Sasha start with?

a)

6

b)

8

c)

4

d)

2

e)

1

51.

Which of the statements is definitely not true for a triangle with sides a, b, and c.

a)

a + b > c

b)

c + b = 18

c)

b > a + c

d)

0 < b + c

e)

a < b <c

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