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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: 2 3 of £18

4. Back to board Explain? 2 3 of £18 £12 Calculate:

5. Back to board 2 3 of £18 1 3 = £6 6 3 6 6 2 = £12 Calculate: £12

6. Back to board Answer What is the ratio of soldiers to ducks in simplest form? The Toy Box

7. Back to board 1:3 The Toy Box Explain? What is the ratio of soldiers to ducks in simplest form?

8. Back to board 1:3 The Toy Box 2:6 = 1:3 (dividing both numbers by 2) What is the ratio of soldiers to ducks in simplest form?

9. Back to board Answer Estimate the answer to: 27.41 + 9.84 0.1 x 46

10. Back to board Explain? Estimate the answer to: 8 27.41 + 9.84 0.1 x 46

11. Back to board Estimate the answer to: 8 30 + 10 0.1 x 50 40 5 = Round all numbers to 1 significant figure. 27.41 + 9.84 0.1 x 46

12. Back to board Answer 4.5 x 10 4 + 2.3 x 10 7 6.1 x 10 -8 Calculate the following giving your answer in standard form correct to 2 sig fig.

13. Back to board Explain? 3.8 x 10 14 4.5 x 10 4 + 2.3 x 10 7 6.1 x 10 -8 Calculate the following giving your answer in standard form correct to 2 sig fig.

14. Back to board 3.8 x 10 14 (4.5 EXP 4 + 2.3 EXP 7)  6.1 EXP - 8 = The Key Press sequence is: Could be+/- 8 depending on calculator 4.5 x 10 4 + 2.3 x 10 7 6.1 x 10 -8 Calculate the following giving your answer in standard form correct to 2 sig fig.

15. Back to board Answer A(1,7) B(8,7) C(8,3) 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(1,7) B(8,7) C(8,3) D(?,?) D (1,3) p (4½, 7 ) 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 D (1,3) p (4½, 7 ) 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? D has the same x co-ordinate as A and the same y co-ordinate as C. p has an x co- ordinate ½ way between A and B but has the same y co-ordinate. 1 + ½ (8 - 1) = 4½ A(1,7) B(8,7) C(8,3) D(?,?) x y p

18. Back to board Answer Which one of the graphs below is the graph of y = x. 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  Which one of the graphs below is the graph of y = x. All points on this line have a y value equal to the corresponding x value.

20. Back to board Answer 8 x - 6  3 x + 9 Solve the inequality:

21. Back to board Explain? Solve the inequality: x  3x  3 8 x - 6  3 x + 9

22. Back to board Solve the inequality: 5 x - 6  9 (subtracting 3 x from both sides) 5 x  15 (adding 6 to both sides) x  3 (dividing both sides by 5) 8 x - 6  3 x + 9 x  3x  3

23. 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

24. Back to board Explain? State the equation of the line shown. y = ½ x + 2 2 4 6 8 -2 -4 -6 -8 2 4 6 8 -2 -4 -6 -8 0 y x

25. Back to board 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 y = ½ x + 2 y intercept = + 2 2 4 Gradient = ½

26. Back to board Answer 2 l 4 l 6 l 8 l This container has a capacity of 10 litres. How many gallons of liquid are in the container at the moment?

27. Back to board 2 l 4 l 6 l 8 l 2 gallons Explain? This container has a capacity of 10 litres. How many gallons of liquid are in the container at the moment?

28. Back to board 2 l 4 l 6 l 8 l 2 gallons 4½ litres  1 gallon This container has a capacity of 10 litres. How many gallons of liquid are in the container at the moment?

29. Back to board Answer Calculate angle a. 55 0 100 0 a

30. Back to board Calculate angle a. Angle a = 115 o Explain? 55 0 100 0 a

31. Back to board Calculate angle a. Exterior angles of a polygon add to 360 o 360 - (100 + 90 + 55) = 115 o 55 0 100 0 a Angle a = 115 o

32. Back to board Answer Calculate the area of the trapezium. 12 cm 8 cm 9 cm Not to scale.

33. Back to board Explain? Calculate the area of the trapezium. 12 cm 8 cm 9 cm 90 cm 2 Not to scale.

34. Back to board Calculate the area of the trapezium. 12 cm 8 cm 9 cm 90 cm 2 Area = ½ the sum of the parallel sides x height. ½ (12 + 8) x 9 = 10 x 9 = 90 Not to scale.

35. Back to board Answer Find the value of k. 3 2.5 12 k Not to Scale

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

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

38. Back to board Answer Decide whether the type of data below is discrete or continuous in each case. A persons shoe size. The length of a film. The time taken to run a race.

39. Back to board Decide whether the type of data below is discrete or continuous in each case. Continuous Discrete Continuous A persons shoe size. The length of a film. The time taken to run a race. Remember: shoe sizes come in whole sizes or halves. 5, 5 ½, 6, 6 ½ etc

40. Back to board Answer Shoe SizeFrequency 54 66 77 82 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?

41. Back to board Shoe SizeFrequency 54 66 77 82 Mode = 7 Median = 6 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?

42. Back to board Shoe SizeFrequency 54 66 77 82 Mode = 7 Median = 6 The mode is the data value of highest frequency The median is the middle data value. (4 + 6 + 7 + 2)/2 = 9.5 so take 10 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?

43. Back to board Answer 4152590 2049516 8106348 The counters shown are placed in a bag and one is removed at random. What is the probability that the counter removed is a square number or blue?

44. Back to board Explain? 7/12 4152590 2049516 8106348 The counters shown are placed in a bag and one is removed at random. What is the probability that the counter removed is a square number or blue?

45. Back to board P(square or blue) = P(square) + P(blue) = 4/12 + 3/12 = 7/12 4152590 2049516 8106348 The counters shown are placed in a bag and one is removed at random. What is the probability that the counter removed is a square number or blue? 7/12

46. Back to board Answer The lifetime of 120 projector bulbs was measured in a laboratory. The graph shows the cumulative frequency curve for the results. How many bulbs lasted less than 350 hours?

47. Back to board Explain? 20 40 60 80 100 120 0 Cumulative Frequency 100 200 300 400 500 Hours  89 The lifetime of 120 projector bulbs was measured in a laboratory. The graph shows the cumulative frequency curve for the results. How many bulbs lasted less than 350 hours?

48. 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. How many bulbs lasted less than 350 hours?  89