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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.
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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)?
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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?
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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
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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?
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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.
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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) – (?)
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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
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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?