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

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 How would you write the number below to 2 decimal places? 4.8635

4. Back to board How would you write the number below to 2 decimal places? 4.8635 4.86 Explain?

5. Back to board How would you write the number below to 2 decimal places? 4.8635 5 or bigger ? 4.86  So round down

6. Back to board Answer Simon and Jenny share the bar of chocolate in the ratio 5 : 3. How many pieces do they each receive?

7. Back to board Simon gets 15 pieces Jenny gets 9 pieces Simon and Jenny share the bar of chocolate in the ratio 5 : 3. How many pieces do they each receive? Explain?

8. Back to board 24 pieces 5 + 3 = 8 parts Simon and Jenny share the bar of chocolate in the ratio 5 : 3. How many pieces do they each receive? Simon gets 15 pieces Jenny gets 9 pieces 5 Simon gets 8 of 24 = 15 (5 parts out of 8) Jenny gets 3 8 of 24 = 9 (3 parts out of 8)

9. Back to board Answer A CD player is on sale for £64.00. A special offer gives a 20% discount on the total price when you buy two. Simon buys two CD players. How much does he pay? SPECIAL OFFER: Buy 2 and get a 20% discount on the total price. £64.00

10. Back to board Explain? £102.40 A CD player is on sale for £64.00. A special offer gives a 20% discount on the total price when you buy two. Simon buys two CD players. How much does he pay? SPECIAL OFFER: Buy 2 and get a 20% discount on the total price. £64.00

11. Back to board £102.40 Final cost = £128 - 20% = £128 - £25.60 = £102.40 A CD player is on sale for £64.00. A special offer gives a 20% discount on the total price when you buy two. Simon buys two CD players. How much does he pay? SPECIAL OFFER: Buy 2 and get a 20% discount on the total price. £64.00 Or, more efficiently, 0.8 x £128 = £102.40

12. Back to board Answer Evaluate:

13. Back to board Explain? Evaluate: 3

14. Back to board Evaluate: 3

15. Back to board Answer How many small cubes would there be in the next diagram? 1 8 27 ? 64 ?

16. Back to board Explain? 1 8 27 ? 64 ? 125 How many small cubes would there be in the next diagram?

17. Back to board These are cube numbers. 1 3 = 1, 2 3 = 8, 3 3 = 27, 4 3 = 64 5 3 = 125 1 8 27 ? 64 ? 125 How many small cubes would there be in the next diagram?

18. Back to board Answer x-3-20123 y y = 2x + 3 The graph of y = 2x + 3 is to be drawn. Calculate the y values for each x value shown.

19. Back to board x-3-20123 y y = 2x + 3 x-3-20123 y-313579 The graph of y = 2x + 3 is to be drawn. Calculate the y values for each x value shown.

20. Back to board Answer Solve the simultaneous equations: 3x + y = 13 5x - 2y = 7

21. Back to board Explain? Solve the simultaneous equations: x = 3 and y = 4 3x + y = 13 5x - 2y = 7

22. Back to board Solve the simultaneous equations: EQ 1 x 2 gives the equivalent pair. x = 3 and y = 4 Adding EQ 3 and EQ 2 gives. 11x = 33 so x = 3 Substituting x = 3 in EQ 1 gives. 1 2 6x + 2y = 26 5x - 2y = 7 3 2 9 + y = 13  y = 4 3x + y = 13 5x - 2y = 7

23. Back to board Answer Work out the answer to the question below in your head using an algebraic identity to help you. 56 2 - 44 2

24. Back to board Explain? 1200 56 2 - 44 2 Work out the answer to the question below in your head using an algebraic identity to help you.

25. Back to board 1200 = (56 + 44)(56 - 44) = 100 x 12 Remember: The difference of two squares states that a 2 – b 2 = (a + b)(a – b) 56 2 - 44 2 Work out the answer to the question below in your head using an algebraic identity to help you.

26. Back to board Answer p 130 o Calculate angle p giving a reason for your answer.

27. Back to board Calculate angle p giving a reason for your answer. 50 o Explain? p 130 o

28. Back to board Calculate angle p giving a reason for your answer. Angles on a straight line add to 180 0 50 o 180 0 - 130 o = 50 o p 130 o

29. Back to board Answer 2 m Calculate the approximate area A, of the table top by taking a value of  = 3.

30. Back to board 2 m Explain? Calculate the approximate area A, of the table top by taking a value of  = 3. A = 12 m 2

31. Back to board 2 m A = 12 m 2 A =  r 2 A = 3 x 2 2 Calculate the approximate area A, of the table top by taking a value of  = 3.

32. Back to board Answer What is the scale factor of enlargement that maps triangle A onto triangle B? A B

33. Back to board Explain? x ½ What is the scale factor of enlargement that maps triangle A onto triangle B? A B

34. Back to board All lengths on triangle B are ½ of those on triangle A. What is the scale factor of enlargement that maps triangle A onto triangle B? A B x ½ 10 12 5 6

35. Back to board Answer o A B xoxo yoyo Calculate angle x. 42 o Diagram not drawn accurately

36. Back to board Explain? 84 o o A B xoxo yoyo Calculate angle x. 42 o Diagram not drawn accurately

37. Back to board 84 o The angle at the centre is twice the angle at the circumference. o A B xoxo yoyo Calculate angle x. 42 o Diagram not drawn accurately

38. Back to board Answer 10 30 20 40 50 6070 0 80 90 100 120 160 Kilometres (km) 140 Miles 80 60 40 20 Use the conversion graph to convert 120 km to miles.

39. Back to board 10 30 20 40 50 6070 0 80 90 100 120 160 Kilometres (km) 140 Miles 80 60 40 20 Use the conversion graph to convert 120 km to miles. 75 miles Explain?

40. Back to board 10 30 20 40 50 6070 0 80 90 100 120 160 Kilometres (km) 140 Miles 80 60 40 20 Use the conversion graph to convert 120 km to miles. 75 miles

41. Back to board Answer 70 people were asked which one of three TV Channels they preferred to watch. Complete the partially filled two-way table below. BBC 1ITVCH 4Total Male6920 Female1020 Total70

42. Back to board 70 people were asked which one of three TV Channels they preferred to watch. Complete the partially filled two-way table below. BBC 1ITVCH 4Total Male6920 Female1020 Total70 5 50 20 29 16 25

43. Back to board Answer Number of Books FrequencyMidpoint Midpoint x Frequency 0 - 98 10 - 1910 20 - 2915 30 - 397 The table below gives information on the number of books on some shelves. Work out an estimate for the mean number of books on a shelve.

44. Back to board Explain? Number of Books FrequencyMidpoint Midpoint x Frequency 0 - 98 10 - 1910 20 - 2915 30 - 397 The table below gives information on the number of books on some shelves. Work out an estimate for the mean number of books on a shelve.  20 books

45. Back to board Number of Books FrequencyMidpoint Midpoint x Frequency 0 - 98 10 - 1910 20 - 2915 30 - 397 4.5 14.5 24.5 34.5 40 36 145 367.5 241.5 790 Mean estimate = 790/40 = 19.75 The table below gives information on the number of books on some shelves. Work out an estimate for the mean number of books on a shelve.  20 books

46. Back to board Answer red blue red blue red blue The tree diagram shows the probabilities for removing two coloured cubes from a bag of ten. The first cube is replaced. What is the probability of selecting a blue cube followed by a red cube?

47. Back to board Explain? red blue red blue red blue 21/100 The tree diagram shows the probabilities for removing two coloured cubes from a bag of ten. The first cube is replaced. What is the probability of selecting a blue cube followed by a red cube?

48. Back to board red blue red blue red blue 21/100 The tree diagram shows the probabilities for removing two coloured cubes from a bag of ten. The first cube is replaced. What is the probability of selecting a blue cube followed by a red cube?