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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 oCoC 0o0o 10 o 20 o 30 o -10 o Put the following o C temperatures in order of size smallest to largest. 8 -3 -10 4 0

5. Back to board Explain? oCoC 0o0o 10 o 20 o 30 o -10 o Put the following o C temperatures in order of size smallest to largest. 8 -3 -10 4 0 - 10, -3, 0, 4, 8

6. Back to board oCoC 0o0o 10 o 20 o 30 o -10 o Put the following o C temperatures in order of size smallest to largest. 8 -3 -10 4 0 - 10, -3, 0, 4, 8

7. Back to board Answer 23 8 Write the improper fraction below as a mixed number.

8. Back to board 23 8 2 7 8 Write the improper fraction below as a mixed number.

9. Back to board Answer Jenny has £1000 in her building society account on 1 st January 2006. The interest rate is fixed at 5%. She 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 balance for her account on 1 st January 2009.DateAmount Jan 1 st 2006 £1000 Jan 1 st 2007 Jan 1 st 2008 Jan 1 st 2009

10. Back to board Explain?DateAmount Jan 1 st 2006 £1000 Jan 1 st 2007 Jan 1 st 2008 Jan 1 st 2009 Jenny has £1000 in her building society account on 1 st January 2006. The interest rate is fixed at 5%. She 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 balance for her account on 1 st January 2009. (a) 1.05 (b) £1157.63

11. Back to boardDateAmount Jan 1 st 2006 £1000 Jan 1 st 2007 Jan 1 st 2008 Jan 1 st 2009 Jenny has £1000 in her building society account on 1 st January 2006. The interest rate is fixed at 5%. She 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 balance for her account on 1 st January 2009. (a) 1.05 (b) £1157.63 (a) An increase of 5% means that the new amount is 105% of the original value and a 105% = 105/100 = 1.05 as a multiplier. (b) Apply the multiplier repeatedly to get the new amount at the end of each year. £1050 £1102.50 £1157.63 x 1.05 Notice that 1000 x 1.05 3 gets the answer more efficiently.

12. Back to board Answer 19752005 A18.4 B23.617.3 C9.512.7 D13.716.4 The table shows the birth rates per 1000 people in five countries as recorded in 1975 and 2005. In country A the birth rate fell by 24.6% in 2005. Use a multiplier to calculate the birth rate in country A for 2005 (1 dp).

13. Back to board Explain? 13.9 19752005 A18.4 B23.617.3 C9.512.7 D13.716.4 The table shows the birth rates per 1000 people in five countries as recorded in 1975 and 2005. In country A the birth rate fell by 24.6% in 2005. Use a multiplier to calculate the birth rate in country A for 2005 (1 dp).

14. Back to board 13.9 19752005 A18.4 B23.617.3 C9.512.7 D13.716.4 The table shows the birth rates per 1000 people in five countries as recorded in 1975 and 2005. In country A the birth rate fell by 24.6% in 2005. Use a multiplier to calculate the birth rate in country A for 2005 (1 dp). 18.4 x 0.754 =13.9 A percentage fall of 24.6% implies a new percentage of 75.4% = 0.754

15. Back to board Answer 1, 1, 2, 3, 5, 8,… The number sequence below is called the Fibonacci Sequence and is named after a mathematician who lived many hundreds of years ago. 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 1, 1, 2, 3, 5, 8,… 13, 21, 34 The number sequence below is called the Fibonacci Sequence and is named after a mathematician who lived many hundreds of years ago. Each number in the sequence is the sum of the two previous numbers. Work out the next 3 numbers of this sequence.

17. Back to board Answer 123 4 4,7,10, 13,……… 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.

18. Back to board 123 4 4,7,10, 13,……… n th ……… Multiply the term number by 3 and add 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.

19. Back to board Answer Simplify the expression below: 7 + 5(3 x + 6) - 2( x + 4) - 3

20. Back to board Explain? Simplify the expression below: 13 x + 26 7 + 5(3 x + 6) - 2( x + 4) - 3

21. Back to board Simplify the expression below: 7 + 5(3 x + 6) - 2( x + 4) - 3 13 x + 26 7 +15 x + 30 - 2 x - 8 - 3 13 x + 26 Expanding each bracket gives: Collecting like terms gives:

22. Back to board Answer 2 4 6 8 -2 -4 -6 -8 2 4 6 8 -2 -4 -6 -8 0 y x Determine the inequality that describes the shaded region below.

23. Back to board Explain? y  x - 2 2 4 6 8 -2 -4 -6 -8 2 4 6 8 -2 -4 -6 -8 0 y x Determine the inequality that describes the shaded region below.

24. Back to board y  x - 2 2 4 6 8 -2 -4 -6 -8 2 4 6 8 -2 -4 -6 -8 0 y x Equation of line is y = x - 2 For all points x and y within the region, y is  x -2 Determine the inequality that describes the shaded region below.

25. Back to board Answer What is the order of rotational symmetry for the shape below?

26. Back to board What is the order of rotational symmetry for the shape below? 3 Explain?

27. Back to board 1 2 3 What is the order of rotational symmetry for the shape below?

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

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

30. Back to board Answer Calculate the volume of the cylinder. (1 dp) 8 cm 6 cm

31. Back to board Explain? 8 cm 6 cm 904.8 cm 3 Calculate the volume of the cylinder. (1 dp)

32. Back to board 8 cm 6 cm 904.8 cm 3 V =  r 2 h Remember V =  x 6 2 x 8 = Calculate the volume of the cylinder. (1 dp)

33. Back to board Answer 43.5 m 75 m Find the angle of elevation of the top of the statue (1 dp).

34. Back to board Explain? 75 m Find the angle of elevation of the top of the statue (1 dp). 43.5 m 30.1 o

35. Back to board 75 m Find the angle of elevation of the top of the statue (1 dp). 43.5 m 30.1 o xoxo Angle of elevation

36. Back to board Answer Prof and Beaky are playing a dart game at the fair. Beaky throws a dart at random at the cards. What is the probability that she hits a picture card?

37. Back to board 5/9 Explain? Prof and Beaky are playing a dart game at the fair. Beaky throws a dart at random at the cards. What is the probability that she hits a picture card?

38. Back to board 5/9 5 of the cards are picture cards out of a total of 9 cards. Prof and Beaky are playing a dart game at the fair. Beaky throws a dart at random at the cards. What is the probability that she hits a picture card?

39. Back to board Answer RedBlueWhiteSilverBlack 0.20.170.15?0.1 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 silver.

40. Back to board 0.38 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 silver. RedBlueWhiteSilverBlack 0.20.170.15?0.1 Explain?

41. Back to board 0.38 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 silver. RedBlueWhiteSilverBlack 0.20.170.15?0.1 1 - (0.2 + 0.17 + 0.15 + 0.1) Remember: For mutually exclusive events the total of all probabilities is 1.

42. 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 green? (b) What is the probability that the winning ticket will show the number 13? Ticket ColourNumbers used Year 7red1 to 85 Year 8blue1 to 80 Year 9green1 to 75

43. Back to board Explain? 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 green? (b) What is the probability that the winning ticket will show the number 13? Ticket ColourNumbers used Year 7red1 to 85 Year 8blue1 to 80 Year 9green1 to 75 (a) 75/240 (b) 3/240

44. Back to board 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 green? (b) What is the probability that the winning ticket will show the number 13? Ticket ColourNumbers used Year 7red1 to 85 Year 8blue1 to 80 Year 9green1 to 75 (a) 75 tickets are green out of a total of 240. (b) There are 3 tickets numbered 13 out of a total of 240. (a) 75/240 (b) 3/240

45. 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 less than 45 minutes late.

46. Back to board Explain? 10 20 30 40 50 60 0 Cumulative Frequency 10 20 30 40 50 60 Minutes late  52 The cumulative frequency curve gives information on aircraft arriving late at an airport. Use the curve to find the number of aircraft arriving less than 45 minutes late.

47. Back to board 10 20 30 40 50 60 0 Cumulative Frequency 10 20 30 40 50 60 Minutes late  52 The cumulative frequency curve gives information on aircraft arriving late at an airport. Use the curve to find the number of aircraft arriving less than 45 minutes late.