2. Whiteboardmaths.com © 2004 All rights reserved 5 7 2 1

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  £28.56 £5.43 Find the cost of 6 teddy bears and 12 clowns to the nearest pound.

5. Back to board  £237 Explain? £28.56 £5.43 Find the cost of 6 teddy bears and 12 clowns to the nearest pound.

6. Back to board  6 x 28.56 + 12 x 5.43 = 236.52 £28.56 £5.43 Find the cost of 6 teddy bears and 12 clowns to the nearest pound. £237

7. Back to board Answer Here is an old recipe for savoury oat cakes for 4 people. How much margarine would be needed in a recipe for 10 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

8. Back to board Here is an old recipe for savoury oat cakes for 4 people. How much margarine would be needed in a recipe for 10 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?

9. Back to board Here is an old recipe for savoury oat cakes for 4 people. How much margarine would be needed in a recipe for 10 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 10 = 2½ x 4 So 2½ x 30 = 75

10. Back to board Answer Jenny’s salary increased from £28 500 per year to £29 640 per year. Find the percentage increase in her salary.

11. Back to board Explain? 4% Jenny’s salary increased from £28 500 per year to £29 640 per year. Find the percentage increase in her salary.

12. Back to board 4% percentage increase = 1140 28 500 x 100 = 4percentage change = change original quantity x 100 Remember: Jenny’s salary increased from £28 500 per year to £29 640 per year. Find the percentage increase in her salary.

13. Back to board Answer Simon invests £2500 for 4 years at 6% compound interest. Calculate the interest earned at the end of the period. (nearest £)

14. Back to board Explain? £656 Simon invests £2500 for 4 years at 6% compound interest. Calculate the interest earned at the end of the period. (nearest £)

15. Back to board £656 Amount after 4 years = 2500 x 1.06 4 = £3156.19 So interest earned = £3156.19 - £2500 = £656 Simon invests £2500 for 4 years at 6% compound interest. Calculate the interest earned at the end of the period. (nearest £)

16. Back to board Answer 3n + 2 2n - 1 Simon and Jenny each have a bag containing different numbers of discs. In total they have 36 discs. (a) Write an equation for the total number of discs. (b) How many discs are in each bag? ? ?

17. Back to board 3n + 2 2n - 1 ? ? 23 13 5n + 1 = 36 Simon and Jenny each have a bag containing different numbers of discs. In total they have 36 discs. (a) Write an equation for the total number of discs. (b) How many discs are in each bag? Explain?

18. Back to board 3n + 2 2n - 1 ? ? 23 13 5n + 1 = 36 Simon and Jenny each have a bag containing different numbers of discs. In total they have 36 discs. (a) Write an equation for the total number of discs. (b) How many discs are in each bag? 3n + 2 + 2n - 1 = 5n + 1 If 5n + 1 = 36 then n = 7 3 x 7 + 2 2 x 7 - 1

19. Back to board Answer The heights of the Russian dolls are measured in cm. Find the difference in their heights. 2n - 3 5n + 2

20. Back to board 3n + 5 5n + 2 2n - 3 The heights of the Russian dolls are measured in cm. Find the difference in their heights. Explain?

21. Back to board 3n + 5 5n + 2 2n - 3 The heights of the Russian dolls are measured in cm. Find the difference in their heights. 5n + 2 - (2n - 3) = 5n + 2 - 2n + 3 = 3n + 5

22. Back to board Answer Factorise: 9 x - 12 x 2

23. Back to board Explain? Factorise: 9 x - 12 x 2 3 x (3 - 4 x )

24. Back to board Factorise: 9 x - 12 x 2 3 x is the highest common factor of the expression. 3 x (3 - 4 x )

25. Back to board Answer 1 Which one of the graphs shown could be the graph of 2/x? 123456789

26. Back to board Explain? Graph Number 5 1 Which one of the graphs shown could be the graph of 2/x? 123456789

27. Back to board Graph Number 5 Graph 5 is of a reciprocal function (hyperbola) and is not defined at x = 0. 1 Which one of the graphs shown could be the graph of 2/x? 123456789

28. Back to board Answer 9m 3m 4m 5m Find the perimeter of this shape.

29. Back to board 9m 3m 4m 5m Find the perimeter of this shape. 36 m Explain?

30. Back to board 9m 3m 4m 5m Find the perimeter of this shape. 36 m 9 m 6 m 9 + 5 + 6 + 4 + 3 + 9 = 36 m

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

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

33. Back to board x ½ Which 2 triangles are enlargements of the yellow triangle? A B C D   x 2 4 4 2 2 8 8

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

35. Back to board Explain? 12.5 m 2 A coloured glass decorative window consists of square panes each with a side length of 1 m and a semi-circular top. Calculate the area of the window in m 2. (answer to 1 dp)

36. Back to board Area of each square pane = 1 m 2 Total area of square panes = 9 m 2 Area semi-circular top = ½ x  x 1.5 2 = 3.53 m 2 Total area = 9 + 3.53 = 12.5 m 2 (1 dp) 3 m 12.5 m 2 A coloured glass decorative window consists of square panes each with a side length of 1 m and a semi-circular top. Calculate the area of the window in m 2. (answer to 1 dp) Remember: A =  r 2

37. Back to board Answer A 10 ft ladder rests 8.5 ft from a house. Find the angle (L) between the ladder and the wall of the house (nearest degree). 10 ft LoLo 8.5 ft

38. Back to board Explain? 10 ft 58 o LoLo 8.5 ft A 10 ft ladder rests 8.5 ft from a house. Find the angle (L) between the ladder and the wall of the house (nearest degree).

39. Back to board 58 o 10 ft LoLo 8.5 ft A 10 ft ladder rests 8.5 ft from a house. Find the angle (L) between the ladder and the wall of the house (nearest degree).

40. Back to board Answer 90 o 108 o 54 o 72 o 36 o Rugby Football Cricket Ice Hockey Squash The pie chart shows the result of a survey of 300 people questioned about their favourite sports. Calculate (without using a calculator) how many people played each sport. Rugby Squash Ice Hockey Football Favourite Sport Cricket

41. Back to board 90 o 108 o 54 o 72 o 36 o Rugby Football Cricket Ice Hockey Squash The pie chart shows the result of a survey of 300 people questioned about their favourite sports. Calculate (without using a calculator) how many people played each sport. Rugby Squash Ice Hockey Football Favourite Sport Cricket 75 30 60 90 45 Explain?

42. Back to board 90 o 108 o 54 o 72 o 36 o Rugby Football Cricket Ice Hockey Squash The pie chart shows the result of a survey of 300 people questioned about their favourite sports. Calculate (without using a calculator) how many people played each sport. Rugby Squash Ice Hockey Football Favourite Sport Cricket 75 30 60 90 45 ¼ played rugby 1/10 played squash

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

44. Back to board Caramel Milk Chocolate Strawberry 8/12 = 2/3 8 of the chocolates are not caramel flavoured out of a total of 12 chocolates. Prof offered Beaky one of his chocolates from the box. Beaky chose one at random. What is the probability that she did not choose a caramel flavoured chocolate?

45. Back to board Answer A class of 30 students consisting of 16 boys and 14 girls sat a test. The mean score for the test was 7.5. If the mean score for the boys was 7.8 calculate the mean score for the girls. 7.8 ? 

46. Back to board Explain? 7.8 ? 7.2  A class of 30 students consisting of 16 boys and 14 girls sat a test. The mean score for the test was 7.5. If the mean score for the boys was 7.8 calculate the mean score for the girls.

47. Back to board 7.8 ? Total marks scored on test = 30 x 7.5 = 225 Marks for girls 225 - 16 x 7.8 = 100.2 Mean for girls 100.2/14 = 7.2 (1 dp)  A class of 30 students consisting of 16 boys and 14 girls sat a test. The mean score for the test was 7.5. If the mean score for the boys was 7.8 calculate the mean score for the girls. 7.2

48. 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 milk chocolate and a dark chocolate were chosen in that order. PAUL SARAH

49. Back to board Explain? 40/200 = 1/5 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 milk chocolate and a dark chocolate were chosen in that order. PAUL SARAH

50. Back to board 40/200 = 1/5 P(milk and dark) = 5/10 x 8/20 = 40/200 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 milk chocolate and a dark chocolate were chosen in that order. PAUL SARAH