2. Whiteboardmaths.com © 2004 All rights reserved 5 7 2 1

3. 8 5 SHAPE and SPACE HANDLING DATA SHAPE and SPACE HANDLING DATA 6 8 6 7 5 8 6 7 6 7 5 8 7 5 ALGEBRA NUMBER SHAPE SPACE & M SPACE & M HANDLING DATA

4. Back to board Answer What percentage of each shape is shaded blue?

5. Back to board 36 % 40 % What percentage of each shape is shaded blue? Explain?

6. Back to board 36 % 40 % What percentage of each shape is shaded blue? 4/10 = 40% 36/100 = 36%

7. Back to board Answer Express £12 as a percentage of £20.

8. Back to board Express £12 as a percentage of £20. 60% Explain?

9. Back to board Express £12 as a percentage of £20. 60% 12 20 = ? 100 x5 60 x5

10. Back to board Answer Choose the best estimate to: 72.43  8.87 5678910

11. Back to board Explain? Choose the best estimate to: 72.43  8.87 5678910

12. Back to board Choose the best estimate to: 72.43  8.87 5678910 Rounding to the nearest whole number in each case gives 72  9 = 8

13. Back to board Answer Write as a single exponent then evaluate.

14. Back to board Explain? Write as a single exponent then evaluate. 5 3 = 125

15. Back to board Write as a single exponent then evaluate. 5 3 = 125 Add the indices for multiplication and subtract them for division.

16. Back to board Answer (a) How many balls are in the next pattern? (b) What is the name of this number sequence? ?

17. Back to board (a) How many balls are in the next pattern? (b) What is the name of this number sequence? ? 9 Square Numbers 6 x 6 5 x 5 4 x 4

18. Back to board Answer x 3x + 2 Write down an expression for the perimeter of the rectangular marble slab.

19. Back to board x 3x + 2 Write down an expression for the perimeter of the rectangular marble slab. 8 x + 4 Explain?

20. Back to board x 3x + 2 Write down an expression for the perimeter of the rectangular marble slab. 8 x + 4 x + 3 x + 2 + x + 3 x + 2 = 8 x + 4

21. Back to board Answer 24 6 10 8 -8-6 -4 -2 -10 2 -2 2x + y = -8 0 4 6 8 10 y -4 -6 -8 -10 x x + 2y = 14 y = x + 7 y = 3x - 10 x – y = 2 Use the graphs shown to solve the simultaneous equations x - y = 2 and 2x + y = -8

22. Back to board Explain? 24 6 10 8 -8-6 -4 -2 -10 2 2x + y = -8 0 4 6 8 10 y x x + 2y = 14 y = x + 7 y = 3x - 10 x – y = 2 Use the graphs shown to solve the simultaneous equations x - y = 2 and 2x + y = -8 x = -2, y = - 4 -2 -4 -6 -8 -10

23. Back to board 24 6 10 8 -8-6 -4 -2 -10 2 2x + y = -8 0 4 6 8 10 y x x + 2y = 14 y = x + 7 y = 3x - 10 x – y = 2 Use the graphs shown to solve the simultaneous equations x - y = 2 and 2x + y = -8 x = -2, y = - 4 The solutions are the co-ordinates of intersection of both graphs. (-2, -4) -2 -4 -6 -8 -10

24. Back to board Answer Make q the subject of the formula.

25. Back to board Explain? Make q the subject of the formula.

26. Back to board Make q the subject of the formula.

27. Back to board Answer What is the order of rotational symmetry for the shape shown?

28. Back to board Explain? Order 4 What is the order of rotational symmetry for the shape shown?

29. Back to board 1 2 3 4 What is the order of rotational symmetry for the shape shown? Order 4

30. Back to board Answer W E N S A B C D Estimate the bearing of each aircraft from the centre of the radar screen.

31. Back to board 030 o 135 o W N S A B C D 240 o 330 o Explain? Estimate the bearing of each aircraft from the centre of the radar screen. E

32. Back to board 030 o 135 o W N S A B C D 240 o 330 o Bearings are: Measured from NorthMeasured from North In a clockwise directionIn a clockwise direction Using 3 figuresUsing 3 figures Estimate the bearing of each aircraft from the centre of the radar screen.

33. Back to board Answer 98 m 40 m A local football pitch has the measurements indicated below. Both of these are measured to the nearest metre. What is the maximum length that the football pitch can be?

34. Back to board Explain? 98.5 m A local football pitch has the measurements indicated below. Both of these are measured to the nearest metre. What is the maximum length that the football pitch can be? 98 m 40 m

35. Back to board 98 m 40 m A local football pitch has the measurements indicated below. Both of these are measured to the nearest metre. What is the maximum length that the football pitch can be? 98.5 m Measurements only accurate to +/- ½ a unit

36. Back to board Answer 20 cm 15 cm 12 cm 6 cm bc Calculate the length of side c.

37. Back to board Explain? 20 cm 15 cm 12 cm 6 cm bc Calculate the length of side c. 16 cm

38. Back to board 20 cm 15 cm 12 cm 6 cm bc Calculate the length of side c. 16 cm The triangles are equiangular and therefore similar. c 20 = 12 15 c = 20 x12 15 = 16

39. Back to board Answer 1 2 3 4 5 6 2 3 4 5 61 + 2 3 4 5 6 7 3 4 5 6 7 8 4 5 6 7 8 9 5 6 7 8 9 10 6 7 8 9 11 7 8 9 10 11 12 The outcome table shows the scores for throwing 2 dice. What is the probability of getting a score of 8?

40. Back to board 1 2 3 4 5 6 2 3 4 5 61 + 2 3 4 5 6 7 3 4 5 6 7 8 4 5 6 7 8 9 5 6 7 8 9 10 6 7 8 9 11 7 8 9 10 11 12 The outcome table shows the scores for throwing 2 dice. What is the probability of getting a score of 8? 5/36 Explain?

41. Back to board 1 2 3 4 5 6 2 3 4 5 61 + 2 3 4 5 6 7 3 4 5 6 7 8 4 5 6 7 8 9 5 6 7 8 9 10 6 7 8 9 11 7 8 9 10 11 12 The outcome table shows the scores for throwing 2 dice. What is the probability of getting a score of 8? 5/36 5 wanted outcomes out of a total of 36.

42. Back to board Answer Height Shoe Size Soup Sales Temperature Shoe Size Annual Income Describe the type of correlation in each of the cases shown.

43. Back to board Height Shoe Size Soup Sales Temperature Shoe Size Annual Income Describe the type of correlation in each of the cases shown. Negative Positive None

44. Back to board Some people threw darts at a dartboard until they hit triple twenty. The results are recorded in the table below. (a) What is the modal class for this data? (b) What is the median class interval? Answer Number of darts thrown Frequency 1 - 55 6 - 108 11 - 1513 16 - 203

45. Back to board Explain? (b) 11 - 15 Some people threw darts at a dartboard until they hit triple twenty. The results are recorded in the table below. (a) What is the modal class for this data? (b) What is the median class interval? Number of darts thrown Frequency 1 - 55 6 - 108 11 - 1513 16 - 203 (a) 11 - 15

46. Back to board (a) The modal class is the class of highest frequency. (b) The middle data point is the 15 th data value: (29 + 1)/2. This data value is also located in the 11 - 15 class interval. Some people threw darts at a dartboard until they hit triple twenty. The results are recorded in the table below. (a) What is the modal class for this data? (b) What is the median class interval? Number of darts thrown Frequency 1 - 55 6 - 108 11 - 1513 16 - 203 (b) 11 - 15 (a) 11 - 15

47. Back to board Answer 10 20 30 40 50 60 0 Cumulative Frequency 10 20 30 40 50 60 Marks The graph shows the cumulative frequency curve of the marks for students in an examination. Use the graph to find an estimate for the median mark.

48. Back to board Explain? 10 20 30 40 50 60 0 Cumulative Frequency 10 20 30 40 50 60 Marks The graph shows the cumulative frequency curve of the marks for students in an examination. Use the graph to find an estimate for the median mark. Median  27/28 marks

49. Back to board 10 20 30 40 50 60 0 Cumulative Frequency 10 20 30 40 50 60 Marks The graph shows the cumulative frequency curve of the marks for students in an examination. Use the graph to find an estimate for the median mark. Median  27/28 marks Half of 60 students = 30 students. Worksheets

50. 5 6 7 8 NASD1   5 6 7 8 NASD2   5 6 7 8 NASD3   5 6 7 8 NASD4   5 6 7 8 NASD5   5 6 7 8 NASD6   5 6 7 8 NASD7   5 6 7 8 NASD8   5 6 6 8 NASD9  

51. 5 6 7 8 NASD1   5 6 7 8 NASD2   5 6 7 8 NASD3   5 6 7 8 NASD4   5 6 7 8 NASD5   5 6 6 8 NASD6   5 6 7 8 NASD7   5 6 7 8 NASD8   5 6 7 8 NASD9   10 11 12 13 14 15 16 17 18

52. 5 6 7 8 NASD1   5 6 7 8 NASD2   5 6 7 8 NASD3   5 6 7 8 NASD4   5 6 7 8 NASD5   5 6 6 8 NASD6   5 6 7 8 NASD7   5 6 7 8 NASD8   5 6 7 8 NASD9   19 20 21 22 23 24 25 26 27

53. 5 6 7 8 NASD1   5 6 7 8 NASD2   5 6 7 8 NASD3   5 6 7 8 NASD4   5 6 7 8 NASD5   5 6 6 8 NASD6   5 6 7 8 NASD7   5 6 7 8 NASD8   5 6 7 8 NASD9   28 29 30 31 32 33 34 35 36

54. 5 6 7 8 NASD1   5 6 7 8 NASD2   5 6 7 8 NASD3   5 6 7 8 NASD4   5 6 7 8 NASD5   5 6 6 8 NASD6   5 6 7 8 NASD7   5 6 7 8 NASD8   5 6 7 8 NASD9   37 38 39 40 41 42 43 44 45

55. 5 6 7 8 NASD1   5 6 7 8 NASD2   5 6 7 8 NASD3   5 6 7 8 NASD4   5 6 7 8 NASD5   5 6 6 8 NASD6   5 6 7 8 NASD7   5 6 7 8 NASD8   5 6 7 8 NASD9   46 47 48 49 50