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2. 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

3. Back to board Answer Two parts of the regular pentagon are coloured blue. What is: (a) the fraction, (b) the decimal and (c) the percentage of the shape that is coloured blue?

4. Back to board 2/5 0.4 40% Two parts of the regular pentagon are coloured blue. What is: (a) the fraction, (b) the decimal and (c) the percentage of the shape that is coloured blue? Explain?

5. Back to board 2/5 0.4 40% Two parts of the regular pentagon are coloured blue. What is: (a) the fraction, (b) the decimal and (c) the percentage of the shape that is coloured blue? 2 parts out of a total of 5 parts are coloured blue. 2 5 = 4 10 = 40 100

6. Back to board Answer The exact attendance at a football match is shown below. Write this number to 2 significant figures. 36 484

7. Back to board 36 000 36 484 The exact attendance at a football match is shown below. Write this number to 2 significant figures. Explain?

8. Back to board 36 000 36 484 The exact attendance at a football match is shown below. Write this number to 2 significant figures. So round down and add the zeros. 5 or bigger ? 

9. Back to board Answer The cost of 8 oranges is £1.92. Find the cost of 7 oranges.

10. Back to board Explain? The cost of 8 oranges is £1.92. Find the cost of 7 oranges. £1.68

11. Back to board The cost of 8 oranges is £1.92. Find the cost of 7 oranges. £1.68 7 8 x £1.92 = £1.68 The cost of 7 oranges must be 7/8 of the cost of 8. (192/8 = 24p)

12. Back to board Answer Rewrite as a single power of 3 then evaluate. 3 4 x 3 3 x 3 2 3535

13. Back to board Explain? Rewrite as a single power of 3 then evaluate. 3 4 = 81 3 4 x 3 3 x 3 2 3535

14. Back to board Rewrite as a single power of 3 then evaluate. 3 4 x 3 3 x 3 2 3535 3 4 = 81 3939 = 3535 = 3 4 Remember: Add the indices when multiplying numbers in the same base and subtract when dividing.

15. Back to board Answer Work out the value of V when m = 5. V = 2m + 8

16. Back to board V = 18 Work out the value of V when m = 5. V = 2m + 8 Explain?

17. Back to board V = 18 Work out the value of V when m = 5. V = 2m + 8 V = 2 x 5 + 8 = 18

18. Back to board Answer 5x -2y 5x - 2y 3y The expression in each white triangle is found by adding those in the two triangles beneath. Find the expression for the top triangle. ?

19. Back to board 5x -2y 5x - 2y 3y The expression in each white triangle is found by adding those in the two triangles beneath. Find the expression for the top triangle. 10x + y ? Explain?

20. Back to board 5x -2y 5x - 2y 3y The expression in each white triangle is found by adding those in the two triangles beneath. Find the expression for the top triangle. 10x + y ? 5x + 3y 5x + 3y + 5x - 2y = 10x + y

21. Back to board Answer 3, 6, 11, 18, 27,….. (a) Find the rule for the n th term, (t n ) in the sequence below. (b) Use your rule to calculate the 9 th term (t 9 ).

22. Back to board Explain? 3, 6, 11, 18, 27,….. (a) t n = n 2 + 2 (b) t 9 = 83 (a) Find the rule for the n th term, (t n ) in the sequence below. (b) Use your rule to calculate the 9 th term (t 9 ).

23. Back to board 3, 6, 11, 18, 27,….. (a) t n = n 2 + 2 (b) t 9 = 83 (a) The term number 2 + 2 gives the rule. (a) Find the rule for the n th term, (t n ) in the sequence below. (b) Use your rule to calculate the 9 th term (t 9 ). (b) t 9 = 9 2 + 2 = 83. 1 2 3 4 5 n Term numbers

24. Back to board Answer Expand the bracket below. 6q(p 2 – 2q)

25. Back to board Explain? 6q(p 2 – 2q) 6qp 2 -12q 2 Expand the bracket below.

26. Back to board 6q(p 2 – 2q) Expand the bracket below. 6qp 2 -12q 2 6q x p 2 = 6qp 2 6q x -2q = -12q 2

27. Back to board Answer How many centimetres are there in the number of metres shown? 3¼ m

28. Back to board How many centimetres are there in the number of metres shown? 3¼ m 325 Explain?

29. Back to board How many centimetres are there in the number of metres shown? 3¼ m 325 1 m = 100 cm 3 ¼ x 100 = 325

30. Back to board Answer Front Elevation Side Elevation Plan View Decide which of the three views of the object below show the plan, side and front elevations.

31. Back to board Front Elevation Side Elevation Plan View Decide which of the three views of the object below show the plan, side and front elevations. Front Elevation Side Elevation Plan

32. 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.

33. 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

34. 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

35. Back to board Answer 120 m 40 m The dimensions of the sports field shown are measured to the nearest metre. What is its greatest possible area?

36. Back to board Explain? 4880.25 m 2 120 m 40 m The dimensions of the sports field shown are measured to the nearest metre. What is its greatest possible area?

37. Back to board 120.5 x 40.5 = 4880.25 Remember: Any measurement is only accurate to  ½ the degree of accuracy centred on the measurement. 120 m 40 m The dimensions of the sports field shown are measured to the nearest metre. What is its greatest possible area? 4880.25 m 2

38. Back to board Answer Prof and Beaky are playing a game of cards. Beaky asks Prof to take a card at random from her hand. What is the probability that Prof takes a card that is not a Jack? Beaky’s Hand

39. Back to board 5 7 Explain? Prof and Beaky are playing a game of cards. Beaky asks Prof to take a card at random from her hand. What is the probability that Prof takes a card that is not a Jack? Beaky’s Hand

40. Back to board 5 of the cards are “not jacks” Out of a total of 7cards. 5 7 Prof and Beaky are playing a game of cards. Beaky asks Prof to take a card at random from her hand. What is the probability that Prof takes a card that is not a Jack? Beaky’s Hand

41. Back to board Answer 80 people were asked which one of three sports they preferred to watch. Complete the partially filled two-way table below. FootballRugbyCricketTotal Male12740 Female810 Total80

42. Back to board FootballRugbyCricketTotal Male12740 Female810 Total80 21 20 31 29 40 22 80 people were asked which one of three sports they preferred to watch. Complete the partially filled two-way table below.

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 Simon Jenny Simon lays a card at random from his hand on the table. Jenny then lays her card. What is the probability that they are both picture cards? Ace is not a picture card

47. Back to board Explain? Simon Jenny Simon lays a card at random from his hand on the table. Jenny then lays her card. What is the probability that they are both picture cards? Ace is not a picture card 10/56 = 5/28

48. Back to board Simon Jenny Simon lays a card at random from his hand on the table. Jenny then lays her card. What is the probability that they are both picture cards? Ace is not a picture card 10/56 = 5/28 2/8 x 5/7 = 10/56