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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 Calculate: 3 4 of £32

4. Back to board Explain? 3 4 of £32 £24 Calculate:

5. Back to board 3 4 of £32 £24 Calculate: 1 4 = £8 8 4 8 8 3 = £24 8

6. Back to board Answer What is the ratio of dogs to teddy bears in simplest form? The Toy Box

7. Back to board 3:2 What is the ratio of dogs to teddy bears in simplest form? The Toy Box Explain?

8. Back to board 3:2 What is the ratio of dogs to teddy bears in simplest form? The Toy Box 6:4 = 3:2 (dividing both numbers by 2)

9. Back to board Answer Estimate the answer to: 38.36 + 10.34 0.2 x 48

10. Back to board Explain? Estimate the answer to: 38.36 + 10.34 0.2 x 48 5

11. Back to board Estimate the answer to: 38.36 + 10.34 0.2 x 48 5 40 + 10 0.2 x 50 50 10 = Round all numbers to 1 significant figure.

12. Back to board Answer 3.6 x 10 3 + 2.7 x 10 5 8.1 x 10 -7 Calculate the following giving your answer in standard form correct to 2 sig fig.

13. Back to board Explain? 3.6 x 10 3 + 2.7 x 10 5 8.1 x 10 -7 3.4 x 10 11 Calculate the following giving your answer in standard form correct to 2 sig fig.

14. Back to board 3.6 x 10 3 + 2.7 x 10 5 8.1 x 10 -7 3.4 x 10 11 (3.6 EXP 3 + 2.7 EXP 5)  8.1 EXP - 7 = The Key Press sequence is: Could be 7 +/- depending on calculator Calculate the following giving your answer in standard form correct to 2 sig fig.

15. Back to board Answer A(2,8) B(9,8) C(9,4) D(?,?) The vertex co-ordinates of the rectangle are as shown. The red point p is midway between A and B. (a) What are the co-ordinates of vertex D? (b) What are the co-ordinates of the red point p? p x y

16. Back to board A(2,8) B(9,8) C(9,4) D(?,?) D (2,4) p (5½, 8 ) The vertex co-ordinates of the rectangle are as shown. The red point p is midway between A and B. (a) What are the co-ordinates of vertex D? (b) What are the co-ordinates of the red point p? p Explain? x y

17. Back to board A(2,8) B(9,8) C(9,4) D(?,?) D (2,4) p (5½, 8 ) The vertex co-ordinates of the rectangle are as shown. The red point p is midway between A and B. (a) What are the co-ordinates of vertex D? (b) What are the co-ordinates of the red point p? p D has the same x co-ordinate as A and the same y co-ordinate as C. x y p has an x co- ordinate ½ way between A and B but has the same y co-ordinate. 2 + ½ (9 - 2) = 5½

18. Back to board Answer Which one of the graphs below is the graph of y = 2x + 1. x y 1 2 3 4 0 -2 -3 -4 1 2 3 4 -2 -3 -4 x y 1 2 3 4 0 -2 -3 -4 1 2 3 4 -2 -3 -4 x y 1 2 3 4 0 -2 -3 -4 1 2 3 4 -2 -3 -4 A B C

19. Back to board x y 1 2 3 4 0 -2 -3 -4 1 2 3 4 -2 -3 -4 x y 1 2 3 4 0 -2 -3 -4 1 2 3 4 -2 -3 -4 x y 1 2 3 4 0 -2 -3 -4 1 2 3 4 -2 -3 -4 A B C  Explain? Which one of the graphs below is the graph of y = 2x + 1.

20. Back to board x y 1 2 3 4 0 -2 -3 -4 1 2 3 4 -2 -3 -4 x y 1 2 3 4 0 -2 -3 -4 1 2 3 4 -2 -3 -4 x y 1 2 3 4 0 -2 -3 -4 1 2 3 4 -2 -3 -4 A B C  Choose two x values. 2 x 0 + 1 = 1 and 2 x 1 + 1 = 3 (both lay on line) Which one of the graphs below is the graph of y = 2x + 1.

21. Back to board Answer 5 x - 7 < 2 x + 5 Solve the inequality:

22. Back to board Explain? Solve the inequality: x < 4 5 x - 7 < 2 x + 5

23. Back to board Solve the inequality: x < 4 3 x - 7 < 5 (subtracting 2 x from both sides) 5 x - 7 < 2 x + 5 3 x < 12 (adding 7 to both sides) x < 4 (dividing both sides by 3)

24. Back to board Answer State the equation of the line shown. 2 4 6 8 -2 -4 -6 -8 2 4 6 8 -2 -4 -6 -8 0 y x

25. Back to board Explain? 2 4 6 8 -2 -4 -6 -8 2 4 6 8 -2 -4 -6 -8 0 y x State the equation of the line shown. y = 2x - 4

26. Back to board 2 4 6 8 -2 -4 -6 -8 2 4 6 8 -2 -4 -6 -8 0 y x State the equation of the line shown. y = 2x - 4 4 2 Gradient = 4/2 = 2 y intercept = - 4

27. Back to board Answer 1 l 2 l 3 l 4 l This container has a capacity of 5 litres. How many gallons of liquid are in the container at the moment?

28. Back to board 1 l 2 l 3 l 4 l This container has a capacity of 5 litres. How many gallons of liquid are in the container at the moment? 1 gallon Explain?

29. Back to board 1 l 2 l 3 l 4 l This container has a capacity of 5 litres. How many gallons of liquid are in the container at the moment? 1 gallon 4 ½ litres  1 gallon

30. Back to board Answer Calculate angle a. 140 0 a

31. Back to board Calculate angle a. 140 0 a Angle a = 130 o Explain?

32. Back to board Calculate angle a. 140 0 a Angle a = 130 o Exterior angles of a polygon add to 360 o 360 - (140 + 90) = 130 o

33. Back to board Answer Calculate the area of the trapezium. 14 cm 8 cm 10 cm Not to scale.

34. Back to board Explain? Calculate the area of the trapezium. 14 cm 8 cm 10 cm 110 cm 2 Not to scale.

35. Back to board Calculate the area of the trapezium. 14 cm 8 cm 10 cm 110 cm 2 Area = ½ the sum of the parallel sides x height. ½ (14 + 8) x 10 = 11 x 10 = 110 Not to scale.

36. Back to board Answer Find the value of m. 3 m 12 10 Not to Scale

37. Back to board Explain? Find the value of m. 3 m 12 10 Not to Scale m = 2.5

38. Back to board Find the value of m. 3 m 12 10 Not to Scale m = 2.5 Both quadrilaterals are similar. m 10 = 3 12 m = 10 x 3 12 = 2.5

39. Back to board Answer Decide whether the type of data below is discrete or continuous in each case. The number of pages in a book. The number of people in a race. The temperature at midday.

40. Back to board Decide whether the type of data below is discrete or continuous in each case. The number of pages in a book. The number of people in a race. The temperature at midday. Discrete Continuous Discrete

41. Back to board Answer Shoe SizeFrequency 63 75 86 91 The table shows the shoe sizes bought by some customers at a shoe shop on Friday. What was (a) the modal shoe size? (b) the median shoe?

42. Back to board Shoe SizeFrequency 63 75 86 91 Mode = 8 Median = 7 Explain? The table shows the shoe sizes bought by some customers at a shoe shop on Friday. What was (a) the modal shoe size? (b) the median shoe?

43. Back to board Shoe SizeFrequency 63 75 86 91 Mode = 8 Median = 7 The mode is the data value of highest frequency The median is the middle data value. (3 + 5 + 6 + 1)/2 = 7.5 so take 8 th value. The table shows the shoe sizes bought by some customers at a shoe shop on Friday. What was (a) the modal shoe size? (b) the median shoe?

44. Back to board Answer 4152590 2049916 876449 The counters shown are placed in a bag and one is removed at random. What is the probability that the counter is a 9 or red?

45. Back to board Explain? 4152590 2049916 876449 The counters shown are placed in a bag and one is removed at random. What is the probability that the counter is a 9 or red? ¼

46. Back to board 4152590 2049916 876449 The counters shown are placed in a bag and one is removed at random. What is the probability that the counter is a 9 or red? ¼ P(9 or red) =P(9) + P(red) = 1/12 + 2/12 = 3/12 = ¼

47. Back to board Answer 20 40 60 80 100 120 0 Cumulative Frequency 100 200 300 400 500 Hours The lifetime of 120 projector bulbs was measured in a laboratory. The graph shows the cumulative frequency curve for the results. Find the inter- quartile range for this data.

48. Back to board Explain? 20 40 60 80 100 120 0 Cumulative Frequency 100 200 300 400 500 Hours The lifetime of 120 projector bulbs was measured in a laboratory. The graph shows the cumulative frequency curve for the results. Find the inter- quartile range for this data.  110 hours

49. Back to board 20 40 60 80 100 120 0 Cumulative Frequency 100 200 300 400 500 Hours The lifetime of 120 projector bulbs was measured in a laboratory. The graph shows the cumulative frequency curve for the results. Find the inter- quartile range for this data. Upper quartile  110 hours  350 - 240 lower quartile ¼ of 120 = 30 and ¾ of 120 = 90