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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 Eddie’s Ices All £1.50 Eddies Ices sells an average of 238 ice creams a day. How many ice creams will Eddie expect to sell in 34 days? (Non - calculator)

4. Back to board 8092 Eddies Ices sells an average of 238 ice creams a day. How many ice creams will Eddie expect to sell in 34 days? (Non - calculator) Eddie’s Ices All £1.50 Explain?

5. Back to board 8092 Eddies Ices sells an average of 238 ice creams a day. How many ice creams will Eddie expect to sell in 34 days? (Non - calculator) Eddie’s Ices All £1.50 2 3 8 x 3 4 9 5 2 7 1 4 0 8 0 9 2 1

6. Back to board Answer 27 5 Write the improper fraction below as a mixed number.

7. Back to board 27 5 5 2 5 Write the improper fraction below as a mixed number.

8. Back to board Answer Simon had £1000 in his building society account on 1 st Jan 2006. The interest rate is fixed at 4%. He intends to leave the money in the account for 3 years without making any withdrawals. (a) What do you multiply the £1000 by to get the amount at the end of the first year? (b) What is the balance for the account on 1 st Jan 2009.DateAmount Jan 1 st 2006 £1000 Jan 1 st 2007 Jan 1 st 2008 Jan 1 st 2009

9. Back to board Explain?DateAmount Jan 1 st 2006 £1000 Jan 1 st 2007 Jan 1 st 2008 Jan 1 st 2009 (a) 1.04 (b) £1124.86 Simon had £1000 in his building society account on 1 st Jan 2006. The interest rate is fixed at 4%. He intends to leave the money in the account for 3 years without making any withdrawals. (a) What do you multiply the £1000 by to get the amount at the end of the first year? (b) What is the balance for the account on 1 st Jan 2009.

10. Back to boardDateAmount Jan 1 st 2006 £1000 Jan 1 st 2007 Jan 1 st 2008 Jan 1 st 2009 (a) 1.04 (b) £1124.86 (a) An increase of 4% means that the new amount is 104% of the original value and a 104% = 104/100 = 1.04 as a multiplier. (b) Apply the multiplier repeatedly to get the new amount at the end of each year. £1040 £1081.60 £1124.86 x 1.04 Simon had £1000 in his building society account on 1 st Jan 2006. The interest rate is fixed at 4%. He intends to leave the money in the account for 3 years without making any withdrawals. (a) What do you multiply the £1000 by to get the amount at the end of the first year? (b) What is the balance for the account on 1 st Jan 2009. Notice that 1000 x 1.04 3 gets the answer more efficiently.

11. Back to board Answer 19752005 A18.413.9 B23.617.3 C9.5 D13.716.4 The table shows the birth rates per 1000 people in five countries as recorded in 1975 and 2005. In country C the birth rate had increased by 9.3% by 2005. Use a multiplier to calculate the birth rate in country C for 2005 (1 dp).

12. Back to board Explain? 10.4 The table shows the birth rates per 1000 people in five countries as recorded in 1975 and 2005. In country C the birth rate had increased by 9.3% by 2005. Use a multiplier to calculate the birth rate in country C for 2005 (1 dp). 19752005 A18.413.9 B23.617.3 C9.5 D13.716.4

13. Back to board 10.4 9.5 x 1.093 = 10.4 A percentage increase of 9.3% implies a new percentage of 109.3% = 1.093 The table shows the birth rates per 1000 people in five countries as recorded in 1975 and 2005. In country C the birth rate had increased by 9.3% by 2005. Use a multiplier to calculate the birth rate in country C for 2005 (1 dp). 19752005 A18.413.9 B23.617.3 C9.5 D13.716.4

14. Back to board Answer 2, 3, 5, 8, 13,.… The number sequence below is part of the Fibonacci Sequence. Each number in the sequence is the sum of the two previous numbers. Work out the next 3 numbers of this sequence.

15. Back to board 21, 34, 55 2, 3, 5, 8, 13,.… The number sequence below is part of the Fibonacci Sequence. Each number in the sequence is the sum of the two previous numbers. Work out the next 3 numbers of this sequence.

16. Back to board Answer 123 4 3,7,11, 15,……… n th ……… The first 4 terms of a number sequence are shown below. Describe in words the rule that gives the n th term in the sequence.

17. Back to board 123 4 3,7,11, 15,……… n th ……… Multiply the term number by 4 and subtract 1 The first 4 terms of a number sequence are shown below. Describe in words the rule that gives the n th term in the sequence.

18. Back to board Answer Simplify the expression below: 2 + 5(5 x + 6) - 3( x + 4) - 4

19. Back to board Explain? Simplify the expression below: 22 x + 16 2 + 5(5 x + 6) - 3( x + 4) - 4

20. Back to board Simplify the expression below: 22 x + 16 2 +25 x + 30 - 3 x - 12 - 4 22 x + 16 Expanding each bracket gives: Collecting like terms gives: 2 + 5(5 x + 6) - 3( x + 4) - 4

21. Back to board Answer Determine the inequality that describes the shaded region below. 1 2 3 4 -2 -3 -4 1 2 3 4 -2 -3 -4 0 y x

22. Back to board Explain? y  2 x + 1 1 2 3 4 -2 -3 -4 1 2 3 4 -2 -3 -4 0 y x Determine the inequality that describes the shaded region below.

23. Back to board y  2 x + 1 1 2 3 4 -2 -3 -4 1 2 3 4 -2 -3 -4 0 y x Equation of line is y = 2 x + 1 For all points x and y within the region, y is  2 x + 1 Determine the inequality that describes the shaded region below.

24. Back to board Answer What is the order of rotational symmetry of a parallelogram?

25. Back to board 2 Explain? What is the order of rotational symmetry of a parallelogram?

26. Back to board 2 What is the order of rotational symmetry of a parallelogram? 1 2

27. Back to board Answer Match the congruent shapes. A B C D F G E

28. Back to board Match the congruent shapes. A B C D F G E

29. Back to board Answer Calculate the surface area of the cylinder excluding the base. (1 dp) 8 cm 6 cm

30. Back to board Explain? 414.7 cm 2 Calculate the surface area of the cylinder excluding the base. (1 dp) 6 cm 8 cm

31. Back to board Calculate the surface area of the cylinder excluding the base. (1 dp) 6 cm SA =  x 6 2 + 2 x  x 6 x 8 = 414.7 cm 2 SA =  r 2 + 2  rh Rectangular wall Circular top 8 cm 414.7 cm 2 or 132  C = 2  r

32. Back to board Answer 48.5 m 68 m Find the angle of elevation of the top of the statue (1 dp).

33. Back to board Explain? 68 m Find the angle of elevation of the top of the statue (1 dp). 48.5 m 35.5 o

34. Back to board 68 m Find the angle of elevation of the top of the statue (1 dp). 48.5 m 35.5 o xoxo Angle of elevation

35. Back to board Answer 0 - 1920 - 3940 - 59 60 - 79 80 - 100 Frequency 5 10 15 20 Runs Scored Runs scored by an opening batsman in one-day cricket matches last season. In how many matches did the batsman score 80 runs or more?

36. Back to board 0 - 1920 - 3940 - 59 60 - 79 80 - 100 Frequency 5 10 15 20 Runs Scored Runs scored by an opening batsman in one-day cricket matches last season. 2 In how many matches did the batsman score 80 runs or more?

37. Back to board Answer RedBlueWhiteSilverBlack 0.2?0.150.380.1 Prof did a survey about the colour of cars passing underneath a motor way bridge. From the data he constructed the table of probabilities shown below. Use the table to calculate the probability that a car passing underneath the bridge will be blue.

38. Back to board 0.17 Prof did a survey about the colour of cars passing underneath a motor way bridge. From the data he constructed the table of probabilities shown below. Use the table to calculate the probability that a car passing underneath the bridge will be blue. RedBlueWhiteSilverBlack 0.2?0.150.380.1 Explain?

39. Back to board 0.17 Prof did a survey about the colour of cars passing underneath a motor way bridge. From the data he constructed the table of probabilities shown below. Use the table to calculate the probability that a car passing underneath the bridge will be blue. RedBlueWhiteSilverBlack 0.2?0.150.380.1 1 - (0.2 + 0.15 + 0.38 + 0.1) Remember: For mutually exclusive events the total of all probabilities is 1.

40. Back to board Answer Christmas raffle tickets are sold to students in a school as shown in the table below. (a) What is the probability that the winning ticket will be blue? (b) What is the probability that the winning ticket will show the number 76? Ticket ColourNumbers used Year 7red1 to 85 Year 8blue1 to 80 Year 9green1 to 75

41. Back to board Explain? Ticket ColourNumbers used Year 7red1 to 85 Year 8blue1 to 80 Year 9green1 to 75 (a) 80/240 (1/3) (b) 2/240 (1/120) Christmas raffle tickets are sold to students in a school as shown in the table below. (a) What is the probability that the winning ticket will be blue? (b) What is the probability that the winning ticket will show the number 76?

42. Back to board Ticket ColourNumbers used Year 7red1 to 85 Year 8blue1 to 80 Year 9green1 to 75 (a) 80 tickets are blue out of a total of 240. (b) There are 2 tickets numbered 76 out of a total of 240. Christmas raffle tickets are sold to students in a school as shown in the table below. (a) What is the probability that the winning ticket will be blue? (b) What is the probability that the winning ticket will show the number 76? (a) 80/240 (1/3) (b) 2/240 (1/120)

43. Back to board Answer 10 20 30 40 50 60 0 Cumulative Frequency 10 20 30 40 50 60 Minutes late The cumulative frequency curve gives information on aircraft arriving late at an airport. Use the curve to find the number of aircraft arriving more than 40 minutes late.

44. Back to board Explain? 10 20 30 40 50 60 0 Cumulative Frequency 10 20 30 40 50 60 Minutes late  13 The cumulative frequency curve gives information on aircraft arriving late at an airport. Use the curve to find the number of aircraft arriving more than 40 minutes late.

45. Back to board 10 20 30 40 50 60 0 Cumulative Frequency 10 20 30 40 50 60 Minutes late The cumulative frequency curve gives information on aircraft arriving late at an airport. Use the curve to find the number of aircraft arriving more than 40 minutes late.  47 aircraft arrived less than 40 minutes late so 60 - 47 = 13 aircraft arrived more than 40 minutes late.  13