11+ For You Maths Paper Sample Questions

Transcription

1 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.

2 1. What is Basic Arithmetic 2. Write this number in words: What is What is 561 x 3 5. What is 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)?

3 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? 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?

4 Number Sequences Work out the next number in these sequences: (?) (?) (?) (?) (?) 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 (20) 5 24 (36) (?) (24) (30) 4 7 (?) (12) (16) 6 49 (?) (29) (31) (?) (48) 2 5 (70) 7 14 (?) 3

5 Time Look at the timetable below and then answer the questions that follow:- Train 1 Train 2 Train 3 Train 4 Umberside Fallow Point Rock Station Greenfields St. Peter s Station Davis Square Bartle Beechway 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 If I live near Umberside which time train should I get if I want to leave as late as possible?

6 Area 2cm A 4cm 2cm 8cm 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.

7 Decimals 41. Write 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 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 x = 13 x (?) 47. 2(4+5) + 21 = (?) = (?) (72 12) x 2 = 4 x 3 x (?) = 3 (88 11) (?)

8 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

9 Graph The graph below shows how many ice-creams were sold today. Strawberry Vanilla Banana Coffee 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.

10 Number awareness Here is a list of numbers: Use this list to determine the following: 66. A multiple of Two factors of 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

11 Maths Paper Sample Questions Answersheet There is one mark for every question so try to answer as many as you can. Don t leave out any sections comprising of easier questions

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14 Maths Paper Sample Answers Three thousand one hundred and twenty three D 7. B 8. B 9. E 10. C 11. 5/ / / g minutes 33. Train minutes cm cm cm² cm² cm² C cm laps hours º

15 º 59. South 60. Equilateral 61. coffee 62. vanilla increase and