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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 numbers would you use to help find an approximate answer to: 29 x 41 and what would your approximate answer be?

4. Back to board What numbers would you use to help find an approximate answer to: and what would your approximate answer be? 30 x 40 1200 29 x 41

5. Back to board Answer Increase the amount shown by 20%. £56

6. Back to board Increase the amount shown by 20%. £67.20 £56 Explain?

7. Back to board Increase the amount shown by 20%. £67.20 £56 £56.00 + £11.20 £67.20 10% = £5.60 so:

8. Back to board Answer Both the numbers shown have been written as a product of their prime factors. What is the highest common factor of the numbers? 540 450 2 2 x 3 3 x 5 2 x 3 2 x 5 2

9. Back to board Explain? Both the numbers shown have been written as a product of their prime factors. What is the highest common factor of the numbers? 540 450 2 2 x 3 3 x 5 2 x 3 2 x 5 2 90

10. Back to board Both the numbers shown have been written as a product of their prime factors. What is the highest common factor of the numbers? 540 450 2 2 x 3 3 x 5 2 x 3 2 x 5 2 90 Both numbers are divisible by 2, 3 2 and 5. So the HCF = 2 x 3 2 x 5

11. Back to board Answer £124.00 A portable television has 20% off its original price and is on offer in a shop for £124. What was the original price of the television?

12. Back to board Explain? A portable television has 20% off its original price and is on offer in a shop for £124. What was the original price of the television? £155 £124.00

13. Back to board A portable television has 20% off its original price and is on offer in a shop for £124. What was the original price of the television? £155 If p is the original price of the television then: £124.00 0.8p = 124 p = 124/ 0.8 = 155

14. Back to board Answer 1 2 3 4 5 0 -2 -3 -4 -5 1 2 3 4 5 -2 -3 -4 -5 y x C A B D What are the vertex co-ordinates of the quadrilateral?

15. Back to board 1 2 3 4 5 0 -2 -3 -4 -5 1 2 3 4 5 -2 -3 -4 -5 y x C A B D What are the vertex co-ordinates of the quadrilateral? A = (4,2) B = (2,-2) C = (-4,3) D = (-3,-3)

16. Back to board Answer Jumbo drove x miles on Monday, twice as far on Tuesday and 25 miles on Wednesday. If the total distance that Jumbo drove is D miles, write an equation for this distance. x miles

17. Back to board D = 3 x + 25 x miles Explain? Jumbo drove x miles on Monday, twice as far on Tuesday and 25 miles on Wednesday. If the total distance that Jumbo drove is D miles, write an equation for this distance.

18. Back to board D = 3 x + 25 x miles x + 2 x + 25 = 3 x + 25 Jumbo drove x miles on Monday, twice as far on Tuesday and 25 miles on Wednesday. If the total distance that Jumbo drove is D miles, write an equation for this distance.

19. Back to board Answer 012 3 4 5 6 -2 -3 -4-5-6 What is the inequality shown on the number line below? (Use n as the variable)

20. Back to board Explain? What is the inequality shown on the number line below? (Use n as the variable) 012 3 4 5 6 -2 -3 -4-5-6 0  n  5

21. Back to board What is the inequality shown on the number line below? (Use n as the variable) 012 3 4 5 6 -2 -3 -4-5-6 0  n  5 Full circles include the number. Open circles exclude the number. Remember: whereas:

22. Back to board Answer Factorise: (8p 2 q – 4pq 2 )

23. Back to board Explain? Factorise: (8p 2 q – 4pq 2 ) 4pq(2p – q)

24. Back to board Factorise: (8p 2 q – 4pq 2 ) 4pq(2p – q) 4pq is the HCF of 8p 2 q and 4pq 2

25. Back to board Answer INCHES 123456 Approximately how many centimetres are there in 4 inches?

26. Back to board INCHES 123456 Approximately how many centimetres are there in 4 inches? 4 inches  10 cm Explain?

27. Back to board INCHES 123456 Approximately how many centimetres are there in 4 inches? 4 inches  10 cm 1 inch  2.5 cm

28. Back to board Answer a b The shape below is a regular pentagon. Calculate the angles shown.

29. Back to board a b The shape below is a regular pentagon. Calculate the angles shown. Angle a = 72 o Angle b = 108 o Explain?

30. Back to board a b The shape below is a regular pentagon. Calculate the angles shown. Angle a = 72 o Angle b = 108 o Exterior angle (a) = 360/5 = 72 o Interior angle (b) = 180 - 72 = 108 o

31. Back to board Answer A B C Describe the locus of all points that remain equidistant from lines AB and AC.

32. Back to board Explain? A B C Describe the locus of all points that remain equidistant from lines AB and AC. The angular bisector of angle A.

33. Back to board A B C Describe the locus of all points that remain equidistant from lines AB and AC. The angular bisector of angle A.

34. Back to board Answer Decide whether the pair of triangles below are congruent. If they are congruent state which of the conditions for congruency are satisfied. SSS SAS AAS RHS

35. Back to board Explain? Decide whether the pair of triangles below are congruent. If they are congruent state which of the conditions for congruency are satisfied. SSS SAS AAS RHS YES

36. Back to board Decide whether the pair of triangles below are congruent. If they are congruent state which of the conditions for congruency are satisfied. SSS SAS AAS RHS YES Right angle, hypotenuse and side.

37. Back to board Answer M T W Th F 0 10 20 30 Judo Club 1 st Week M T W Th F 0 10 20 30 Judo Club 2 nd Week M T W Th F 0 10 20 30 Judo Club 3 rd Week The bar charts show how many people attended a new judo club in the first 3 weeks. The combined attendance for T/W/Th each week was the same. True or false?

38. Back to board Explain? M T W Th F 0 10 20 30 Judo Club 1 st Week M T W Th F 0 10 20 30 Judo Club 2 nd Week M T W Th F 0 10 20 30 Judo Club 3 rd Week The bar charts show how many people attended a new judo club in the first 3 weeks. True The combined attendance for T/W/Th each week was the same. True or false?

39. Back to board M T W Th F 0 10 20 30 Judo Club 1 st Week M T W Th F 0 10 20 30 Judo Club 2 nd Week M T W Th F 0 10 20 30 Judo Club 3 rd Week The bar charts show how many people attended a new judo club in the first 3 weeks. True Attendance at the club for Monday, Tuesday and Wednesday was 60 in each of the three weeks. The combined attendance for T/W/Th each week was the same. True or false?

40. Back to board Answer When a coin is tossed it can land on heads or tails. How many possible outcomes are there for tossing three coins? Head Tail

41. Back to board When a coin is tossed it can land on heads or tails. How many possible outcomes are there for tossing three coins? Head Tail 8 Explain?

42. Back to board When a coin is tossed it can land on heads or tails. How many possible outcomes are there for tossing three coins? Head Tail 8 HHH, HHT, HTH, THH, TTT, TTH, THT, HTT

43. Back to board Answer 2 2 2 5 8 5 The pointer on the hexagonal spinner (regular) below is spun. Let A be the event ‘landing on a 5’. Let B be the event ‘landing on a green’. (a) Are these events mutually exclusive? (b) What is the probability of the pointer landing on a 5 or yellow?

44. Back to board Explain? The pointer on the hexagonal spinner (regular) below is spun. 2 2 2 5 8 5 No ½ (b) What is the probability of the pointer landing on a 5 or yellow? Let A be the event ‘landing on a 5’. Let B be the event ‘landing on a green’. (a) Are these events mutually exclusive?

45. Back to board The pointer on the hexagonal spinner (regular) below is spun. 2 2 2 5 8 5 (a) Since both events can happen at the same time they are not mutually exclusive. (b) P(5 or yellow) = P(5) + P(yellow) = 2/6 + 1/6 = 3/6 = ½. (The addition principle can be used as the events are mutually exclusive. (b) What is the probability of the pointer landing on a 5 or yellow? No ½ Let A be the event ‘landing on a 5’. Let B be the event ‘landing on a green’. (a) Are these events mutually exclusive?

46. Back to board Answer 130 140 150160 170180 190 cm Boys Girls 1. The girls are taller on average. 2. The girls show less variability in height. 3. The tallest person is a boy. The box and whisker diagrams give information on the heights of a sample of boys and girls. Choose the correct statements from the list given.

47. Back to board Explain? 130 140 150160 170180 190 Boys Girls 1. The girls are taller on average. 2. The girls show less variability in height. 3. The tallest person is a boy. The box and whisker diagrams give information on the heights of a sample of boys and girls. Choose the correct statements from the list given.  cm

48. Back to board 130 140 150160 170180 190 Boys Girls 1. The girls are taller on average. 2. The girls show less variability in height. 3. The tallest person is a boy. The box and whisker diagrams give information on the heights of a sample of boys and girls. Choose the correct statements from the list given.  The girls heights have a smaller inter- quartile range. cm