Exam Question Bank Name Class

Transcription

1 M5 Exam Question Bank Name Class 1

2 1. Solve (a) x 6 = 5 (a) x =... [1] (b) 2x + 7 = 17 (b) x =... [2] (c) 3x 6 = 15 (c) x =... [2] 2

3 2. Work out (a) (a)... [1] (b) (b)... [1] 3

4 3. State the order of rotational symmetry for each (a) (b) (c) (a)... (b)... (c)... (d) (e) (f) (d)... (e)... (f)... 4

5 4. Write down the value of the following (a) 5 2 (a)... [1] (b) 49 (b)... [1] (c) 9 2 (c)... [1] (d) 64 (d)... [1] 5

6 5. This scale drawing shows the positions of four mountains in the Lake District Scale is 2cm to 1km N Lords Seat Dodd 22 Whiteside Grisedale Pike (a) Give the four figure grid reference for Grisedale Pike (a)...[1] (b) Find the distance, in kilometres, between Dodd and Lords Seat (c) Find the bearing of Grisedale from Whiteside (b)...km [2] (c)... o [1] 6

7 6. y R x Rotate rectangle R 90 o clockwise about the origin. Label it B [3] 7

8 7. Here is the sketch of a triangle C Complete a full size drawing of this triangle below [3] 8cm Not to Scale A 35 o 5cm B 8

9 8. Here are three descriptions of quadrilaterals Under each write the names of the shapes it could be Choose from the names in the box Square Parallelogram Kite Rectangle Rhombus Trapezium (a) Only one pair of parallel sides... [1] (b) All the sides are equal... and... [2] (c) Only one pair of opposite angles equal... [1] 9

10 9. (a) Complete the table for y = x + 2 x y (b) Draw the graph for y = x + 2 [1] [2] y (c) Use the graph to find the value of x when y = 4.5 x = [1] x

11 10. (a) Simplify 2a + 3a + 4a (a)... [1] (b) Simplify (i) 3m + 5m 7m (b)(i)... [1] (ii) 5x + 2y + 3x + 4y (ii)... [1] 11

12 11. Work out (a) (a)... [1] (b) 3 5 (b)... [1] (c) 12 3 (c)... [1] (d) 2 5 (d)... [1] 12

13 12. Mrs Roberts gave her pupils a task. She wrote down the time, in seconds, for each pupil to complete the task (a)(i) Write down the range (a)(i)... s[1] (ii) Calculate the mean time Give your answer correct to one decimal place (ii)... s[4] (b) Two months later they did a similar task. The mean time was 59.7 seconds and the range 52 seconds. Make one comment about the performance in these two tasks [1] 13

14 13. In a survey 60 pupils were asked how they travelled to school. The table shows the results Method of travel Number of pupils Walk 15 Bus 24 Cycle 12 Car 9 Draw a pie chart to illustrate the data [4] 14

15 14. Write these fractions in order of size starting with the smallest Show how you decide [3] Smallest 15

16 15. (a) Write down the value of the following 2 cubed (a)... [1] (b) 5 3 (b)... [1] (c) cube root of 27 (c)... [1] (d) 4 3 (d)... [1] 16

17 16. (a) Simplify 5a + 4b 2a + b (a)... [2] (b) 2y 3x The diagram shows a rectangle Write down as simple as possible, an expression for the perimeter of the rectangle (b)... [2] 17

18 17. Round 4.28 to the (a) Nearest whole number (a)... (b) 1 decimal place (b)... [2] Round to the (c) Nearest whole number (c)... (d) Two decimal places (d)... [2] 18

19 18. y A x Rotate rectangle A 90 o anti clockwise about point (0, 0). Label it B [3] 19

20 19. (a) Which of these fractions is NOT equivalent to ? (b) Simplify the fraction 6 8 (a)... [1] (b)... [1] (c) Simplify the fraction 6 9 (c)... [1] (d) Simplify the fraction (d)... [1] 20

21 20. (a) When x = 4 and y = 7 find the value of (i) x + y (ii) xy (a)(i) =... [1] (ii) =... [1] (b) Find the value of 5x + 4 when (i) x = 2 (ii) x = 12 (b)(i) =... [1] (ii) =... [1] 21

22 21. These are the scores that Leanne had in 10 rounds of golf (a) Find her median score (a)...[2] (b)(i) Find the range of her scores (b)(i)...[1] 22

23 22. Solve (a) 3a = 15 (a) a =... [1] (b) 2x 3 = 4 (b) x =... [2] (c) 20 = x (c) x =... [2] 23

24 23. 42cm 16cm 35cm Calculate the volume of this cuboid... cm 3 [2] 24

25 24. Using a calculator (a) Work out 220 as a percentage of % [2] (b) Work out 210 as a percentage of % [2] 25

26 25. (a) Complete this table Fraction Decimal Percentage % 71 % % % [4] (b) Complete this table (turn to fractions out of 100) Fraction 7 10 Decimal Percentage % 4 5 % 3 4 % % [4] 26

27 26. (a) Write correct to (i) The nearest thousand (a)(i)... [1] (ii) One significant figure (b) Mrs Morgan is buying 42 litres of petrol in France. The petrol costs 8.3 francs per litre. She wants to estimate the cost in francs. (ii)... [1] (i) Write down a calculation she could do in her head to estimate the total cost (b)(i)... =...francs [2] (ii) Is your estimate bigger than the exact cost? Explain how you decide......[1] 27

28 27. Glen goes on an activity day The activities available are listed below Morning: Clay modelling (C), Painting (P), Woodwork (W), Needlecraft (N) Afternoon: Sculpture (S), Design (D), Electronics (E) He chooses one morning activity and one afternoon activity (a) Complete the table below showing all the different choices he could make Two have been done for you Morning C C Afternoon S D You may not need all the lines [2] (b) What is the probability that he chooses painting and design? (b)... [1] 28

29 28. On the map 1 square represents 1km 2 Estimate the area of this island Give the units for your answer... [3] 29

30 29. Simplify (a) 8t + 6u 2t + u (b) (a)... [2] 2x 3y The diagram shows a rectangle Write down as simple as possible, an expression for the perimeter of the rectangle (b)... [2] 30

31 30. (a) Increase 600 by 5% (a)... [2] (b)decrease 400 by 20% (b)... [2] (c) A price is increased by 5 from 25. What is the actual percentage increase? (c)...% [2] 31

32 31. (a) Write to (i) The nearest 100 (a)(i)... (ii) The nearest 1000 (b) Write to (i) The nearest 100 (ii)... (b)(i)... (ii) The nearest 1000 (ii)... (iii) One significant figure (iii)... [5] 32

33 32. 3cm 5cm 2cm (a) Calculate the volume of this cuboid... cm 3 [2] (1)(b) Complete this full size net of the cuboid by drawing the other three faces 33

34 [2] 34

35 33. The length of a football pitch is 83m and the width is 47m. Write down a calculation you could do in your head to work out an estimate of the area of the football pitch. = m 2 [2] 34. The cost of hiring a drill is calculated using the formula c = 4d + 5 where c is the cost and d is the number of days hired for (a) Find the cost of hiring the drill for 10 days? (a)... [2] (b) Find c when d = 7? (b)... [2] 35

36 Jenny has made two spinners. One is red with the numbers 1, 2 and 3. The other is blue with the numbers 1, 2, 3, and 4 She spins them and adds the two resulting numbers to give a score (a) Complete the table below to show the score for all the possible outcomes Blue Spinner Red Spinner (b) What is the probability of getting a score of 5? 1 6 [2] (b)... [1] 36

37 36. (a) Complete the table for y = 3x 2 y x y [2] 7 6 (b) Draw the graph for y = 3x 2 (c) Find the value of x when the line crosses the x axis as a decimal (c) x =... [1] [2] x 37

38 37. Solve (a) 2a = 7 (a) a =... [1] (b) 5x 13 = 32 (b) x =... [2] (c) 10 = 3x 11 (c) x =... [2] 38

39 38. Here are the descriptions of two quadrilaterals Under each write the names of the shapes it could be Choose from the names in the box Square Parallelogram Kite Rectangle Rhombus Trapezium (a) Has one pair of parallel lines only... [1] (b) All the sides are equal... and... [2] (c) The diagonals bisect at 90 o... and... and... [3] (d) Has two pairs of opposite angles equal... and... [2] 39

40 39. (a) 2 5 (a)... 3 (b) 2 (b)... 7 (c) 2 3 (c)... (d) (d)... (e) 121 (e)... (f) 5 3 (f)... [5] 40