11+ For You – Maths Paper Sample Questions

This maths paper contains 70 questions and is designed to give

practice on various topics. If you take 1 minute per question

on average, then you are plenty fast enough!

It is longer than the 40 minute tests that will be set as

described at elevenplusmock.org.uk.

Don’t forget that when a test is sat, the score is important

relative to others sitting the same test.

Visit www.11plustestpapers.co.uk for more great papers covering maths,

english, verbal reasoning and non-verbal reasoning 11+ For You – Maths Paper Sample Questions

Basic Arithmetic

1. What is 28391 + 21728

2. Write this number in words: 3123

3. What is 43925 - 2838

4. What is 561 x 3

5. What is 8392 ÷ 4

Algebra

Give your answer as a letter in each of the following:-

6. A = 4 B = 22 C = 12 D = 24 E = 2

What is C ÷ E x A?

7. If A = 34 B = 32 C = 18 D = 4 E = 16

What is A – C + E?

8. If A = 17 B = 7 C = 18 D = 6 E = 16

What is A + D - E

9. If A = 13 B = 5 C = 9 D = 3 E = 19

What is C x D – A + B?

10. If A = 4 B = 6 C = 24 D = 0 E = 12

What is A x B + (E x D)?

Visit www.11plustestpapers.co.uk for more great papers covering maths,

english, verbal reasoning and non-verbal reasoning 11+ For You – Maths Paper Sample Questions

Fractions

11. What is 2/3 + 1/6?

12. If a quarter of the class is absent and there are usually 36 people in the

class, how many people are present?

13. What is 4/5 ÷ 1/7?

14. I had £4.80 and spent 3/4 of my money on sweets.

How much money do I have left?

15. What is 14/20 – 4/25 in its lowest (simplest) form?

Make sure you read the question carefully and

think about what it is asking you to do.

Percentages

16. What is 40% of 425?

17. If there are 240 people in a school and 80% of them are present, how

many people are absent?

18. An electrical store reduces its prices by 15% for a weekend. If a TV is

normally £280, how much will it cost to buy it in the sale?

19. A supermarket promises that the butter it now sells has 30% extra free.

How much will it weigh if the butter used to have 250g in the tub?

20. 5200 people went to a theme park in one day. If 40% of them were

children and child tickets are £4 each, how much money did the theme park

collect for the child tickets?

Visit www.11plustestpapers.co.uk for more great papers covering maths,

english, verbal reasoning and non-verbal reasoning 11+ For You – Maths Paper Sample Questions

Number Sequences

Work out the next number in these sequences:-

21. 64 60 56 52 48 (?)

22. 19 38 32 64 58 116 (?)

23. 12 6 18 9 24 12 (?)

24. 46 41 37 34 32 (?)

25. 78 89 100 111 122 (?)

You are doing well. Keep going! Don’t panic if you have

found some of the questions difficult. Just do your

best.

Numbers in the Middle

Each number in the middle of the brackets is found by using the same

method for each set of brackets. Complete the empty brackets.

26. 15 (20) 5 24 (36) 12 17 (?) 15

27. 4 (24) 12 15 (30) 4 7 (?) 4

28. 66 (12) 11 48 (16) 6 49 (?) 7

29. 45 (29) 16 52 (31) 21 78 (?) 16

30. 12 (48) 2 5 (70) 7 14 (?) 3

Visit www.11plustestpapers.co.uk for more great papers covering maths,

english, verbal reasoning and non-verbal reasoning 11+ For You – Maths Paper Sample Questions

Time

Look at the timetable below and then answer the questions that follow:-

Train 1 Train 2 Train 3 Train 4

Umberside 7.30 7.47 ------ 7.53

Fallow Point 7.45 ------ 7.51 8.08

Rock Station 7.54 8.07 8.00 ------

Greenfields 8.00 8.13 ------ 8.22

St. Peter’s 8.14 ------ 8.17 8.36

Station

Davis Square 8.21 8.29 8.24 ------

Bartle 8.30 ------ 8.33 8.50

Beechway 8.39 8.38 8.42 8.59

31. If I live in Fallow Point, which train time is best to be in Bartle as close

as possible to 8.40?

32. How much longer does the 8.21 from Davis Square take to get to

Beechway than the 8.29 from Davis Square?

33. Which number train can get me from Umberside to Rock Station in the

fastest time?

34. If I got the 7.53 train from Umberside, how long would it take me to

get to Bartle?

35. I need to be in St. Peter’s Station by 8.38. If I live near Umberside

which time train should I get if I want to leave as late as possible?

Visit www.11plustestpapers.co.uk for more great papers covering maths,

english, verbal reasoning and non-verbal reasoning 11+ For You – Maths Paper Sample Questions

Area

2cm

A

8cm

4cm

2cm

13cm

Diagram not drawn to scale

36. What is the length of A?

37. What is the perimeter of the shape above?

38. What is the area of the shape?

39. If the shape were folded in the middle along the dotted line what would

be the total area?

40. How much area would I need to add on to the original shape if I wanted

to make it into a complete rectangle?

If you get stuck on one of the questions, don’t panic.

Have a guess on the answer sheet and put a circle

round the question on the question sheet so you can

come back to it later.

Visit www.11plustestpapers.co.uk for more great papers covering maths,

english, verbal reasoning and non-verbal reasoning 11+ For You – Maths Paper Sample Questions

Decimals

41. Write 45.38132 correct to three decimal places

42. If I spend £3.40 on sweets, how much change will I have if I had

£4.75 to start?

43. Each week I get £3.40 pocket money. What is the least amount of

money I could receive in a month?

44. The temperature yesterday was 21.3°C. Today it is 23.4°C. How much

hotter is it today?

45. What is the mean of 3.25 2.51 6.82 3.21 and 4.21?

Remember to do some working out on

paper! Don’t try to do it all in your head

or you will probably make a mistake.

Balancing Equations

46. 16 x 2 + 17 = 13 x 3 + 24 – (?)

47. 2(4+5) + 21 = 45 ÷ 5 + (?)

48. 56 ÷ 8 + 14 – 9 = 63 ÷ 9 + 12 – (?)

49. 4 (72 ÷ 12) x 2 = 4 x 3 x (?)

50. 48 ÷ 6 ÷ 2 = 3 (88 ÷ 11) – (?)

Visit www.11plustestpapers.co.uk for more great papers covering maths,

english, verbal reasoning and non-verbal reasoning 11+ For You – Maths Paper Sample Questions

Measurements

51. What is 43.82m in cm?

52. If the race track is 400m in one lap, how many laps will I need to do to

run 2km?

53. One cup can hold 250ml of water. If I wanted to fill a 6.5 litre jug, how

many cups would I need?

54. When I was filling the jug I didn’t notice it had a hole. It was losing

100ml an hour through the hole. How long would it take for the jug to empty?

55. If a cake requires 340g of butter, how many packs of 200g butter

would I need to buy to make sure I had enough to make 5 cakes?

Angles

56. If two angles on a triangle add up to 134º what must the final angle be?

57. How many right angles are required to form a rhombus?

58. On the diagram below how big is angle ‘B’?

127º ‘B’

59. If I walk north, turn right 90º, walk forward then turn right 90º which

way will I be facing?

60. What is the name for a triangle where all the angles are equal?

Isosceles, equilibrium, equilateral, isotope or equestrian

Visit www.11plustestpapers.co.uk for more great papers covering maths,

english, verbal reasoning and non-verbal reasoning 11+ For You – Maths Paper Sample Questions

Graph

The graph below shows how many ice-creams were sold today.

Strawberry Vanilla Coffee Banana

61. Which ice-cream was least popular?

62. Which ice-cream was the most popular?

63. If there were 160 ice-creams sold in total, estimate how many vanilla

flavoured ice-creams were sold.

64. Tomorrow banana ice-cream will be sold at half-price. What would you

expect to happen to the area representing sales of banana ice-cream?

65. Banana ice-cream will be sold at 30p tomorrow. Estimate how much was

spent on banana ice-cream today, remembering that 160 ice-creams were

sold overall.

Visit www.11plustestpapers.co.uk for more great papers covering maths,

english, verbal reasoning and non-verbal reasoning 11+ For You – Maths Paper Sample Questions

Number awareness

Here is a list of numbers:

6 8 11 15 25 28 30 33

Use this list to determine the following:

66. A multiple of 7

67. Two factors of 24

68. A square number

69. The median of these numbers

70. A prime number

Congratulations! You have reached the end of

the test. If you have spare time make sure you

go back and check over the answers. Well done!

END OF TEST

Visit www.11plustestpapers.co.uk for more great papers covering maths,

english, verbal reasoning and non-verbal reasoning