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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 fraction of the rectangle is shaded red? (In simplest form)

5. Back to board What fraction of the rectangle is shaded red? (In simplest form) Explain? 1 3

6. Back to board What fraction of the rectangle is shaded red? (In simplest form) 1 3 = 5 15 5 out of 15 are red. 1 3 Divide top and bottom by 5 (Highest common factor) to simplify. 1 3

7. Back to board Answer What is 3 8 9 10 

8. Back to board 5 12 Explain? What is 3 8 9 10 

9. Back to board 3 8 10 9 x “Invert and multiply”. Multiplying numerators and denominators, then simplifying gives: = 30 72 What is 3 8 9 10  5 12

10. Back to board Answer Write the number below as a product of its prime factors. 735

11. Back to board Write the number below as a product of its prime factors. 735 3 x 5 x 7 2

12. Back to board Answer The mass of Jupiter is approximately 2 390 000 000 000 000 000 000 000 000 kg. Write this number in standard form.

13. Back to board Explain? The mass of Jupiter is approximately 2 390 000 000 000 000 000 000 000 000 kg. Write this number in standard form. 2.39 x 10 27

14. Back to board Moving the decimal point 27 places to the right. The mass of Jupiter is approximately 2 390 000 000 000 000 000 000 000 000 kg. Write this number in standard form. 2.39 x 10 27

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

16. 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

17. Back to board Answer Find a whole number solution to : n 2 + 2n + 3 = 66

18. Back to board Explain? Find a whole number solution to : n 2 + 2n + 3 = 66 n = 7

19. Back to board 7 2 + 2 x 7 + 3 = 66 n = 7 Find a whole number solution to : n 2 + 2n + 3 = 66

20. Back to board Answer Expand: ( x - 2 )( x - 6 )

21. Back to board Explain? Expand: ( x - 2 )( x - 6 ) x 2 - 8x + 12

22. Back to board Expand: ( x - 2 )( x - 6 ) x 2 - 8x + 12 x x x = x 2 -2 x - 6 = 12 -6x - 2x = - 8x By inspection Or by single brackets x(x - 6) - 2(x - 6) = x 2 - 6x - 2x + 12

23. Back to board Answer V = 7p 2 +4p - 8 Evaluate V when p = - 3.

24. Back to board Explain? Evaluate V when p = - 3. 43 V = 7p 2 +4p - 8

25. Back to board Evaluate V when p = - 3. 43 V = 7(- 3) 2 + 4(-3) - 8 V = 7 x 9 - 12 - 8 V = 63 - 20 V = 7p 2 +4p - 8

26. Back to board Answer 8 ½ m 6 m Calculate: (a) the area of the wall (b) the perimeter of the wall including the base

27. Back to board Area = 6 x 8½ = 51 m 2 Perimeter = 6 + 8½ + 6 + 8½ = 29 m 8 ½ m 6 m Calculate: (a) the area of the wall (b) the perimeter of the wall including the base

28. Back to board Answer Find the area of the triangle. 10 cm 9 cm

29. Back to board 45 cm 2 Find the area of the triangle. Explain? 10 cm 9 cm

30. Back to board Find the area of the triangle. 10 x 9 2 A = = 45 cm 2 10 cm 9 cm 45 cm 2

31. Back to board Answer 35 36 37 12 miles 15 miles A lorry travels along a motorway from junction 35 to junction 37. The journey time is 30 minutes. Find its average speed in mph.

32. Back to board Explain? 35 36 37 12 miles 15 miles A lorry travels along a motorway from junction 35 to junction 37. The journey time is 30 minutes. Find its average speed in mph. 54 mph

33. Back to board 35 36 37 12 miles 15 miles A lorry travels along a motorway from junction 35 to junction 37. The journey time is 30 minutes. Find its average speed in mph. 54 mph Speed = Distance Time Speed = 27 ½ = 54

34. Back to board Answer One of the formulae shown is for the surface area of a cylinder. Use dimensions to show which one it is. r h

35. Back to board Explain? One of the formulae shown is for the surface area of a cylinder. Use dimensions to show which one it is. r h 

36. Back to board One of the formulae shown is for the surface area of a cylinder. Use dimensions to show which one it is. r h length x length = Area 

37. Back to board One counter is drawn from the bag at random. What is the probability that it is red? Answer

38. Back to board One counter is drawn from the bag at random. What is the probability that it is red? Explain? 8 12 = 2 3

39. Back to board One counter is drawn from the bag at random. What is the probability that it is red? 8 of the counters are red out of a total of 12 counters. 8 12 = 2 3

40. Back to board Answer 12 3 4 5 6 7 8 9 10 Hours of Sunshine 100 150 200 250 300 350 400 450 500 Number of Visitors0 The scatter graph with line of best fit shows information on the number of daily visitors to a museum last summer. Use the line of best fit to estimate the number of visitors to the museum on a day when there is 4½ hours of sunshine.

41. Back to board Explain? 12 3 4 5 6 7 8 9 10 Hours of Sunshine 100 150 200 250 300 350 400 450 500 Number of Visitors0 The scatter graph with line of best fit shows information on the number of daily visitors to a museum last summer.  280 - 290 Use the line of best fit to estimate the number of visitors to the museum on a day when there is 4½ hours of sunshine.

42. Back to board 12 3 4 5 6 7 8 9 10 Hours of Sunshine 100 150 200 250 300 350 400 450 500 Number of Visitors0 The scatter graph with line of best fit shows information on the number of daily visitors to a museum last summer.  280 - 290 Use the line of best fit to estimate the number of visitors to the museum on a day when there is 4½ hours of sunshine.

43. Back to board Answer 10 0 5 15 20 3040 50 Frequency Time in minutes 60 Time Taken for Race Use the histogram and frequency polygon to estimate the mean time taken for the 45 runners to complete the race.

44. Back to board Explain? 10 0 5 15 20 3040 50 Frequency Time in minutes 60 Time Taken for Race Use the histogram and frequency polygon to estimate the mean time taken for the 45 runners to complete the race. 32.8 mins

45. Back to board 10 0 5 15 20 3040 50 Frequency Time in minutes 60 Time Taken for Race Use the histogram and frequency polygon to estimate the mean time taken for the 45 runners to complete the race. 32.8 mins 7 x 15 + 10 x 25 + 18 x 35 + 6 x 45 + 4 x 55 45 = 32.8 Numbers in blue are the midpoints of the intervals.

46. Back to board Answer 3 5 1 4 2 6 5 7 2 4 8 3 6 1 The pointers on both spinners shown below are spun. Calculate the probability of getting a 6 on both spinners.

47. Back to board Explain? The pointers on both spinners shown below are spun. Calculate the probability of getting a 6 on both spinners. 3 5 1 4 2 6 5 7 2 4 8 3 6 1 1 48

48. Back to board The pointers on both spinners shown below are spun. Calculate the probability of getting a 6 on both spinners. 3 5 1 4 2 6 5 7 2 4 8 3 6 1 1 48 1 6 x 1 8