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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 What is 15% of £44

4. Back to board What is 15% of £44 £6.60 Explain?

5. Back to board What is 15% of £44 £6.60 10% = £4.40 5% = £2.20 15 % = £6.60 +

6. Back to board Answer What is 1 3 + 3 8

7. Back to board What is 1 3 + 3 8 17 24 Explain?

8. Back to board What is 1 3 + 3 8 17 24 8 + 9 The lowest common multiple of 3 and 8 is 24. Find equivalent fractions with this denominator.

9. Back to board Answer Use your calculator to work out the calculation shown, giving your answer correct to 2 significant figures.  (42.7 2 - 17.6 2 ) 

10. Back to board Explain? 39  Use your calculator to work out the calculation shown, giving your answer correct to 2 significant figures.  (42.7 2 - 17.6 2 )

11. Back to board 39 Calculator display gives 38.90411289..  Use your calculator to work out the calculation shown, giving your answer correct to 2 significant figures.  (42.7 2 - 17.6 2 )

12. Back to board Answer Write the product below as a power of 2. 8 x 16 x 4

13. Back to board Explain? Write the product below as a power of 2. 8 x 16 x 4 2929

14. Back to board Write the product below as a power of 2. 8 x 16 x 4 2929 2 3 x 2 4 x 2 2 = 2 9 Add the indices for numbers in the same base when multiplying.

15. Back to board Answer (a) How many balls are in the 6 th pattern? (b) What is the name of this number sequence?

16. Back to board (a) How many balls are in the 6 th pattern? (b) What is the name of this number sequence? (a) 21 (b) Triangular Numbers Explain?

17. Back to board (a) How many balls are in the 6 th pattern? (b) What is the name of this number sequence? (a) 21 (b) Triangular Numbers 1 + 2 + 3 + 4 + 5 1 + 2 + 3 + 4 1 + 2 + 3 1 + 2 1 1 + 2 + 3 + 4 + 5 + 6 = 21

18. Back to board Answer Solve : 2( x - 6) = x + 7

19. Back to board x = 19 Explain? Solve : 2( x - 6) = x + 7

20. Back to board 2 x - 12 = x + 7 (expanding brackets) x - 12 = 7 (subtracting x from both sides) x = 19 (Adding 12 to both sides) Check: is 2(19 - 6) = 19 + 7 ?  x = 19 Solve : 2( x - 6) = x + 7

21. Back to board Answer What is the algebraic rule in (terms of n) for the number of wooden strips in the n th diagram? 12 3 ? n 4 7 10

22. Back to board Explain? n th term: t n = 3n + 1 What is the algebraic rule in (terms of n) for the number of wooden strips in the n th diagram? 12 3 ? n 4 7 10

23. Back to board 12 3 ? n 4 7 10 n th term: t n = 3n + 1 Three times the diagram number + 1 What is the algebraic rule in (terms of n) for the number of wooden strips in the n th diagram?

24. Back to board Answer x 3x + 2 The cuboid below has a volume of 50 cm 3. If x is an integer and the length is twice the width, write down an expression for the volume and find x.

25. Back to board Explain? x (3 x + 2)(6 x + 4) x = 1 cm x 3x + 2 The cuboid below has a volume of 50 cm 3. If x is an integer and the length is twice the width, write down an expression for the volume and find x.

26. Back to board x (3 x + 2)(6 x + 4) x = 1 cm 1(3 x 1 + 2)(6 x 1 + 4) = 50 x 3x + 2 The cuboid below has a volume of 50 cm 3. If x is an integer and the length is twice the width, write down an expression for the volume and find x. 6x + 4

27. Back to board Answer 2 kg Sugar What is the approximate weight of the bag of sugar in imperial units?

28. Back to board 2 kg Sugar What is the approximate weight of the bag of sugar in imperial units? 4 lbs 1 kg  2.2 lbs 2 kg  4.4 lbs

29. Back to board Answer 45 o p Find (giving a reason) angle p.

30. Back to board Find (giving a reason) angle p. Angle p = 45 0 (Corresponding angles are equal) 45 o p

31. Back to board Answer Find the volume of the triangular based prism. 7 cm 8 cm 6 cm Not to scale

32. Back to board 168 cm 3 Explain? Find the volume of the triangular based prism. 7 cm 8 cm 6 cm Not to scale

33. Back to board 7 cm 8 cm 6 cm Find the volume of the triangular based prism. 168 cm 3 8 x 7 2 V = x 6 = 28 x 6 = 168 base x height 2 V = x length Remember: Not to scale

34. Back to board Answer 24 cm 31 o m Calculate the length of m (1 dp).

35. Back to board Explain? 24 cm 31 o 20.6 cm m Calculate the length of m (1 dp).

36. Back to board 20.6 cm cos 31 o = m 24 m = 24 x cos 31 o m = 20.6 24 cm 31 o m Calculate the length of m (1 dp).

37. Back to board One counter is drawn from the bag at random. Where would you mark the probability of it being red on the probability line? Answer 0 1 ½

38. Back to board One counter is drawn from the bag at random. Where would you mark the probability of it being red on the probability line? 0 1 ½ 1/2 P(red) =6/12 = 1/2 6 of the counters are red out of a total of 12 counters.

39. Back to board Answer 80 people were asked which one of three TV Channels they preferred to watch. Complete the partially filled two-way table below. BBC 1ITVCH 4Total Male16930 Female1020 Total80

40. Back to board 80 people were asked which one of three TV Channels they preferred to watch. Complete the partially filled two-way table below. BBC 1ITVCH 4Total Male16930 Female1020 Total80 5 50 20 29 26 25

41. Back to board Answer 12 3 4 5 6 7 8 9 10 Hours of Sunshine 100 150 200 250 300 350 400 450 500 Ice Creams Sold 0 The scatter graph with line of best fit shows information on ice cream sales over a period of 10 days last summer. (b) Use the line of best fit to estimate the number of ice creams sold on a day when there is 3 hours of sunshine. (a) Describe the type of correlation shown.

42. Back to board Explain? 12 3 4 5 6 7 8 9 10 100 150 200 250 300 350 400 450 500 Ice Creams Sold 0 The scatter graph with line of best fit shows information on ice cream sales over a period of 10 days last summer. (b)  205 (a) positive (b) Use the line of best fit to estimate the number of ice creams sold on a day when there is 3 hours of sunshine. (a) Describe the type of correlation shown. Hours of Sunshine

43. Back to board 12 3 4 5 6 7 8 9 10 100 150 200 250 300 350 400 450 500 Ice Creams Sold 0 The scatter graph with line of best fit shows information on ice cream sales over a period of 10 days last summer. (b)  205 (a) positive (b) Use the line of best fit to estimate the number of ice creams sold on a day when there is 3 hours of sunshine. (a) Describe the type of correlation shown. (a) As one quantity increases so does the other. Hours of Sunshine

44. Back to board Answer 130 140 150160 170180 190 cm Paula recorded the heights in cm of girls in her class. she then constructed the box and whisker diagram below to show the data. Use the diagram to find the median and inter-quartile range of heights.

45. Back to board Explain? Median = 165 cm IQR = 30 cm 130 140 150160 170180 190 cm Paula recorded the heights in cm of girls in her class. she then constructed the box and whisker diagram below to show the data. Use the diagram to find the median and inter-quartile range of heights.

46. Back to board Median = 165 cm IQR = 30 cm IQR 130 140 150160 170180 190 cm Paula recorded the heights in cm of girls in her class. she then constructed the box and whisker diagram below to show the data. Use the diagram to find the median and inter-quartile range of heights. median