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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 A local gym buys 4 basket ball nets and 8 basket balls from a local sports equipment supplier. Work out the total cost. £5.43 £67.89 

4. Back to board A local gym buys 4 basket ball nets and 8 basket balls from a local sports equipment supplier. Work out the total cost. £5.43 £67.89  £315 Explain?

5. Back to board A local gym buys 4 basket ball nets and 8 basket balls from a local sports equipment supplier. Work out the total cost. £5.43 £67.89  £315 4 x 67.89 + 8 x 5.43 = 315

6. Back to board Answer Here is an old recipe for savoury oat cakes for 4 people. How much grated cheese would be needed in a recipe for 6 people? 150 g oatmeal 80 g self raising flour 50 g grated cheese 30 g margarine 10 ml yeast extract 40 ml of boiling water

7. Back to board Here is an old recipe for savoury oat cakes for 4 people. How much grated cheese would be needed in a recipe for 6 people? 150 g oatmeal 80 g self raising flour 50 g grated cheese 30 g margarine 10 ml yeast extract 40 ml of boiling water 75 g Explain?

8. Back to board Here is an old recipe for savoury oat cakes for 4 people. How much grated cheese would be needed in a recipe for 6 people? 150 g oatmeal 80 g self raising flour 50 g grated cheese 30 g margarine 10 ml yeast extract 40 ml of boiling water 75 g 6 = 1½ x 4 So 1½ x 50 = 75

9. Back to board Answer Simon’s salary increased from £25 000 per year to £27 000 per year. Find the percentage increase in his salary.

10. Back to board Explain? Simon’s salary increased from £25 000 per year to £27 000 per year. Find the percentage increase in his salary. 8%

11. Back to board Simon’s salary increased from £25 000 per year to £27 000 per year. Find the percentage increase in his salary. 8% percentage increase = 2 000 25 000 x 100 = 8percentage change = change original quantity x 100 Remember:

12. Back to board Answer Jenny invests £2000 for 3 years at 5% compound interest. Calculate the interest earned at the end of the period. (nearest £)

13. Back to board Explain? Jenny invests £2000 for 3 years at 5% compound interest. Calculate the interest earned at the end of the period. (nearest £) £315

14. Back to board Jenny invests £2000 for 3 years at 5% compound interest. Calculate the interest earned at the end of the period. (nearest £) £315 Amount after 3 years = 2000 x 1.05 3 = £2315.25 So interest earned = £2315.25 - £2000 = £315 Longer method: Amount after 1 st year = 2000 + 5% of £2000 = £2100 Amount after 2 nd year = £2100 + 5% of £2100 = £2205 Amount after 3 rd year = £2205 + 5% of £2205 = £2315.25 Efficient Method:

15. Back to board Answer 4n + 3 3n - 1 Simon and Jenny each have a bag containing different numbers of discs. In total they have 37 discs. (a) Write an equation for the total number of discs. (b) How many discs are in each bag? ? ?

16. Back to board 4n + 3 3n - 1 ? ? 23 14 7n + 2 = 37 Simon and Jenny each have a bag containing different numbers of discs. In total they have 37 discs. (a) Write an equation for the total number of discs. (b) How many discs are in each bag? Explain?

17. Back to board 4n + 3 3n - 1 ? ? 23 14 7n + 2 = 37 Simon and Jenny each have a bag containing different numbers of discs. In total they have 37 discs. (a) Write an equation for the total number of discs. (b) How many discs are in each bag? 4n + 3 + 3n - 1 = 7n + 2 If 7n + 2 = 37 then n = 5 4 x 5 + 3 3 x 5 - 1

18. Back to board Answer The heights of the Russian dolls are measured in cm. Find the difference in their heights. 2n - 1 4n + 3

19. Back to board 2n + 4 4n + 3 2n - 1 The heights of the Russian dolls are measured in cm. Find the difference in their heights. Explain?

20. Back to board 2n + 4 4n + 3 2n - 1 The heights of the Russian dolls are measured in cm. Find the difference in their heights. 4n + 3 - (2n - 1) = 4n + 3 - 2n + 1 = 2n + 4

21. Back to board Answer Factorise: 8 x 2 - 12 x

22. Back to board Explain? Factorise: 8 x 2 - 12 x 4 x (2 x -3)

23. Back to board Factorise: 8 x 2 - 12 x 4 x (2 x -3) 4 x is the highest common factor of the expression.

24. Back to board Answer 1 Which one of the graphs shown could be the graph of y = - x 2 + 3? 123456789

25. Back to board Explain? Graph Number 3 1 Which one of the graphs shown could be the graph of y = - x 2 + 3? 123456789

26. Back to board Graph Number 3 Gives an inverted parabola 1 Which one of the graphs shown could be the graph of y = - x 2 + 3? 123456789

27. Back to board Answer 8m 2m 3m 4m Find the perimeter of this shape.

28. Back to board 8m 2m 3m 4m Find the perimeter of this shape. 30 m Explain?

29. Back to board 8m 2m 3m 4m Find the perimeter of this shape. 30 m 7 m 6 m 8 + 4 + 6 + 3 + 2 + 7 = 30 m

30. Back to board Answer Which 2 triangles are enlargements of the yellow triangle? A B C D

31. Back to board Which 2 triangles are enlargements of the yellow triangle? A B C D   Explain?

32. Back to board Which 2 triangles are enlargements of the yellow triangle? A B C D   2 3 4 6 6 9 x 2 x 3

33. Back to board A coloured glass decorative window consists of square panes each with a side length of 50 cm and a semi-circular top. Calculate the area of the window in m 2. (answer to 1 dp) Answer

34. Back to board Explain? 3.1 m 2 A coloured glass decorative window consists of square panes each with a side length of 50 cm and a semi-circular top. Calculate the area of the window in m 2. (answer to 1 dp)

35. Back to board 3.1 m 2 Area of each square pane = ½ m x ½ m = ¼ m 2 Area of square panes = 9 x ¼ m 2 = 2¼ m 2 Area semi-circular top = ½ x  x 0.75 2 = 0.88 m 2 A coloured glass decorative window consists of square panes each with a side length of 50 cm and a semi-circular top. Calculate the area of the window in m 2. (answer to 1 dp) Total area = 2.25 + 0.88 = 3.1 m 2 (1 dp) 1.5 m Remember: A =  r 2

36. Back to board Answer 12 ft LoLo A 12 ft ladder rests 9.5 ft from a house. Find the angle (L) between the ladder and the horizontal (nearest degree). 9.5 ft

37. Back to board Explain? A 12 ft ladder rests 9.5 ft from a house. Find the angle (L) between the ladder and the horizontal (nearest degree). 12 ft 38 o LoLo 9.5 ft

38. Back to board A 12 ft ladder rests 9.5 ft from a house. Find the angle (L) between the ladder and the horizontal (nearest degree). 12 ft 38 o LoLo 9.5 ft

39. Back to board Answer Satisfactory Good Very good Poor A factory manager asked 80 of her workers to rate the quality of food at lunchtime in the canteen. The results are displayed in the pie chart shown. How many workers thought that the food was satisfactory?

40. Back to board Satisfactory Good Very good Poor 30 Explain? A factory manager asked 80 of her workers to rate the quality of food at lunchtime in the canteen. The results are displayed in the pie chart shown. How many workers thought that the food was satisfactory?

41. Back to board Satisfactory Good Very good Poor 30 A factory manager asked 80 of her workers to rate the quality of food at lunchtime in the canteen. The results are displayed in the pie chart shown. How many workers thought that the food was satisfactory? 3/8 of 80 = 30

42. Back to board Answer Caramel Milk Chocolate Strawberry Beaky offered Prof one of her chocolates from the box. Prof chose one at random. What is the probability that he did not choose a strawberry flavoured chocolate?

43. Back to board Caramel Milk Chocolate Strawberry 9/12 = 3/4 9 of the chocolates are not strawberry flavoured out of a total of 12 chocolates. Beaky offered Prof one of her chocolates from the box. Prof chose one at random. What is the probability that he did not choose a strawberry flavoured chocolate?

44. Back to board Answer A class of 25 students consisting of 10 boys and 15 girls sat a test. The mean score for the test was 7.8. If the mean score for the boys was 7.5 calculate the mean score for the girls. 7.5 ? 

45. Back to board Explain? A class of 25 students consisting of 10 boys and 15 girls sat a test. The mean score for the test was 7.8. If the mean score for the boys was 7.5 calculate the mean score for the girls. 7.5 ? 8 

46. Back to board A class of 25 students consisting of 10 boys and 15 girls sat a test. The mean score for the test was 7.8. If the mean score for the boys was 7.5 calculate the mean score for the girls. 7.5 ? 8 Total marks scored on test = 25 x 7.8 = 195 Marks for girls 195 - 10 x 7.5 = 120 Mean for girls 120/15 = 8 

47. Back to board Answer milk dark milk dark milk dark Paul and Sarah each have a box of chocolates containing different numbers of milk and dark chocolates. Paul chooses a chocolate from his box first then Sarah chooses one from hers. Calculate the probability that a dark chocolate and a milk chocolate were chosen in that order. PAUL SARAH

48. Back to board Explain? milk dark milk dark milk dark PAUL SARAH 84/240 = 7/20 Paul and Sarah each have a box of chocolates containing different numbers of milk and dark chocolates. Paul chooses a chocolate from his box first then Sarah chooses one from hers. Calculate the probability that a dark chocolate and a milk chocolate were chosen in that order.

49. Back to board milk dark milk dark milk dark PAUL SARAH 84/240 = 7/20 Paul and Sarah each have a box of chocolates containing different numbers of milk and dark chocolates. Paul chooses a chocolate from his box first then Sarah chooses one from hers. Calculate the probability that a dark chocolate and a milk chocolate were chosen in that order. P(dark and milk) = 7/12 x 12/20 = 84/240