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

3. BBBB EEEE DDDD BBBB DDDD CCCC EEEE BBBB DDDD CCCC DDDD CCCC EEEE BBBB CCCC EEEE ALGEBRA NUMBER SHAPE SPACE & M SPACE & M HANDLING DATA

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

5. Back to board 75% 60 % What percentage of each shape is shaded red? Explain?

6. Back to board 60 % What percentage of each shape is shaded red? 75/100 = 75% 6/10 = 60% 75%

7. Back to board Answer Express £14 as a percentage of £25.

8. Back to board Express £14 as a percentage of £25. 56% Explain?

9. Back to board Express £14 as a percentage of £25. 56% 14 25 = ? 100 x4 56 x4

10. Back to board Answer Choose the best estimate to: 42.43  6.87 5678910

11. Back to board Explain? Choose the best estimate to: 5678910 42.43  6.87

12. Back to board Choose the best estimate to: 5678910 Rounding to the nearest whole number in each case gives 42  7 = 6 42.43  6.87

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

14. Back to board Explain? Write as a single exponent then evaluate. 4 4 = 256

15. Back to board Write as a single exponent then evaluate. 4 4 = 256 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? ? 49 Square Numbers 6 x 6 5 x 5 4 x 4

18. Back to board Answer x 4x + 1 Write down a simplified expression for the perimeter of the rectangular marble slab.

19. Back to board x 4x + 1 Write down a simplified expression for the perimeter of the rectangular marble slab. 10 x + 2 Explain?

20. Back to board x 4x + 1 Write down a simplified expression for the perimeter of the rectangular marble slab. x + 4 x + 1 + x + 4 x + 1 = 10 x + 2 10 x + 2

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 y = 3x - 10

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 x = 4, y = 2 -2 -4 -6 -8 -10 Use the graphs shown to solve the simultaneous equations x - y = 2 and y = 3x - 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 The solutions are the co-ordinates of intersection of both graphs. (4, 2) -2 -4 -6 -8 -10 Use the graphs shown to solve the simultaneous equations x - y = 2 and y = 3x - 10 x = 4, y = 2

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

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

26. Back to board Make p the subject of the formula. This can also be written as:

27. Back to board Answer Paris 8 km How many miles to Paris?

28. Back to board Paris 8 km How many miles to Paris? 5 miles Explain?

29. Back to board Paris 8 km How many miles to Paris? 1 km  5 8 mile  8 km  40 8 = 5 miles 5 miles

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 070 o 170 o 240 o 330 o Explain? Estimate the bearing of each aircraft from the centre of the radar screen. W N S A B C D E

32. Back to board Estimate the bearing of each aircraft from the centre of the radar screen. W N S A B C D 070 o 170 o 240 o 330 o E Bearings are: Measured from NorthMeasured from North In a clockwise directionIn a clockwise direction 3 figures3 figures

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 minimum width that the football pitch can be?

34. Back to board Explain? 39.5 m 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 minimum width that the football pitch can be?

35. Back to board 98 m 40 m 39.5 m Measurements only accurate to +/- ½ a unit A local football pitch has the measurements indicated below. Both of these are measured to the nearest metre. What is the minimum width that the football pitch can be?

36. Back to board Answer 15 cm 12 cm 9 cm 6 cm bc Find the length of side c.

37. Back to board Explain? 11.25 cm 15 cm 12 cm 9 cm 6 cm bc Find the length of side c.

38. Back to board 11.25 cm 15 cm 9 cm 6 cm bc Find the length of side c. The triangles are equiangular and therefore similar. c 15 = 9 12 c = 15 x 9 12 = 11.25 12 cm

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 7?

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 7? 6/36 = 1/6 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 7? 6 wanted outcomes out of a total of 36. 6/36 = 1/6

42. Back to board Answer Height Shoe Size Soup Sales Temperature Shoe Size Annual Income Which one of these scatter graphs shows a negative correlation? A B C

43. Back to board Height Shoe Size Soup Sales Temperature Shoe Size Annual Income A B C Which one of these scatter graphs shows a negative correlation?

44. Back to board Answer Number of books Frequency 1 - 55 6 - 109 11 - 1512 16 - 2013 Beaky counted the books on some shelves in her classroom and recorded the data in the table below. (a) What is the modal class for this data? (b) What is the median class interval?

45. Back to board Explain? (b) 11 - 15 Number of books Frequency 1 - 55 6 - 109 11 - 1512 16 - 2013 (a) 16 - 20 Beaky counted the books on some shelves in her classroom and recorded the data in the table below. (a) What is the modal class for this data? (b) What is the median class interval?

46. Back to board (a) The modal class is the class of highest frequency. (b) The middle data point is the 20 th data value: (39 + 1)/2. This data value is located in the 11 - 15 class interval. Number of books Frequency 1 - 55 6 - 109 11 - 1512 16 - 2013 (b) 11 - 15 (a) 16 - 20 Beaky counted the books on some shelves in her classroom and recorded the data in the table below. (a) What is the modal class for this data? (b) What is the median class interval?

47. Back to board Answer 8 16 24 32 40 48 Cumulative Frequency 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. 56 40

48. Back to board Explain? 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  16 marks 8 16 24 32 40 48 Cumulative Frequency 56 40

49. Back to board 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  16 marks Half of 56 students = 28 students. 8 16 24 32 40 48 Cumulative Frequency 56 40