2. THIS IS

3. 100 200 300 400 500 Standard Form Number Properties Fastest Finger Ratios PercentsRandom Maths

4. The distance from Buenos Aires to Wellington is approximately 10 100 kilometres. What is this in standard form? EXT: The planet Neptune is 4 496 000 000 kilometres from the Sun. What is this distance in standard form? A 100

5. a) 1.01 × 10 4 EXT.) 4.496 × 10 9 A 100

6. What is 0.00362 in standard form? EXT: Solve the equation 5(x + 3 × 10 6 ) = 4 × 10 7 Give your answer in standard form A 200

7. a) 3.62 × 10 –3 EXT.) 5 × 10 6 (5 million) A 200

8. Work out: 2.6 × 10 –3 + 9.1 × 10 –4 Give your answer in standard form. A 300

9. 3.51 × 10 –3 A 300

10. There are 565 sheets of paper in a book. (a)How many sheets of paper are there in 2000 books? Give your answer in standard form. (b)A pile of 565 sheets of paper is 25 millimetres high. Calculate the thickness of 1 sheet of paper. Give your answer in standard form. EXT: Use the formula P=V 2 R to calculate the value of P (in standard form) when V = 6 × 10 6 and R = 7.2 × 10 8. A 400

11. (a)1.13 × 10 6 pages (b) 4.42 × 10 –2 mm EXT: P = 5 × 10 4 A 400

12. A 500 A light on a computer comes on for 26 700 microseconds. One microsecond is 10 –6 seconds Work out the length of time, in seconds, that the light is on ; a) in standard form, b) as a decimal.

13. (a)2.67 × 10 –2 (b)0.0267(00…) A 500

14. Write down the next prime number after 89. EXT: Write down the next two prime numbers after 47. B 100

15. 97 EXT. 53 and 59 B 100

16. From the list above, write down (a)a prime number, (b)a factor of 27, (c) a multiple of 4, (d) an irrational number. EXT: Write down (a) an irrational number, (b) a prime number between 60 and 70. B 200

17. a) b) c) d) EXT: a)Any number that cannot be written as a fraction (ie: never-ending, non-repeating decimals) b) 61 or 67

18. Simplify (a) p 0 (b) q 4 × q 7, (c) (r 3 ) -2 EXT: Find the value of n in each of the following statements (a)32 n = 1 (b)32 n = 2 (c)32 n = 8 B 300

19. (a)1 (b)q 11 (c)r –6 EXT: (a) n = 0 (b)n = 0.2 or 1/5 (c)n = 0.6 or 3/5 B 300

20. The diameter of the sun is 1 392 530 kilometres. Write this value correct to 4 significant figures. EXT: Write the number 2381.597 correct to; (a) 3 significant figures, (b) 2 decimal places (c) the nearest hundred. B 400

21. 1. 1393000 km EXT: (a)2380 (b)2381.60 (c)2400 B 400

22. Write down the number of square centimetres in one square metre. EXT: Sima drinks 2.5 litres of water each day. A full glass holds 125ml of water. How many full glasses of water does Sima drink each day? B 500

24. C 100 NO CALCULATORS!

25. C 100

26. C 200 NO CALCULATORS!

27. C 200

28. C 300 NO CALCULATORS!

29. C 300

30. DAILY DOUBLE C 400 DAILY DOUBLE Place A Wager

31. C 400 a)Estimate the answer b)Calculate the actual answer c)Find the difference between the two answers

32. C 400

33. C 500

34. 0.241 C 500

35. Chris and Robert share £35 in the ratio 5 : 2. How much does Robert receive? EXT: A shop sells CDs and DVDs. In one week, the number of CDs and DVDs sold were in the ratio 3:5 The total number of discs sold in the week was 728. How many CDs were sold? D 100

37. Write, in its simplest form, the ratio 3.5 kilograms : 800 grams EXT: A Spanish family went to Scotland for a holiday. The total cost of the holiday was €4347.00. In the family there were 2 adults and 3 children. The cost for one adult was double the cost for one child. Calculate the cost for one child. D 200

38. ÷100

39. A truck uses 2.5 litres of fuel to travel 8 kilometres. (a)How far will the truck travel on 1 litre of fuel? (b)How far will the truck travel on 120 litres of fuel? EXT: Vreni took part in a charity walk. She walked a distance of 20 kilometres. On a map, the distance of 20 kilometres was represented by a length of 80 centimetres. The scale of the map was 1 : n. Calculate the value of n. D 300

40. Simplify ratio (÷20) ÷4 to find 1cm (Scales must be given in same unit 1=100) Use multiplier to find value Divide to find multiplier

41. A packet of sweets costs £2.25. Philip and his brother share the cost in the ratio 5 : 4. How much does Philip pay? D 400

43. Marcus receives £800 from his grandmother. He spends £150. Marcus decides to divide the remaining money between his savings and holiday in the ratio 9 : 4. Calculate the amount of his savings. D 400

45. Marguerite earns £336 per month. She divides her earnings between bills, food, savings and personal spending. (a)After she’s paid her bills, she divides the remaining £240 between food, savings and personal spending in the ratio 5 : 3 : 4. Calculate how much she spends on food per month. (b) She saves the same amount each month. Show that she saves £720 in one year. D 500

49. E 100 From the values listed above, find; (a) the smallest (b) the largest (c) the two values which are equal

50. E 100

51. E 200 Write down the three numbers from the list above which have the same value.

52. E 200

53. A plane has seats for 420 passengers. 15% of the seats are empty. How many passengers are on the plane? E 300

54. 357 passengers E 300

55. E 400

56. Joseph £17.50 Maria £9 Rebecca £3.50 E 400

57. Alfie, Ben and Christian need £30 000 to start a business. (i) Office equipment costs 35% of £30 000. Calculate the cost of the equipment. (ii) Office expenses cost another £6500. Write this as a fraction of £30 000. Give your answer in its lowest terms. (iii) How much remains of the £30 000 now? E 500

59. Insert brackets to make the following statement correct. F 100

60. 2 × (3 – 4) + 5 = 3 F 100

61. F 200

63. F 300

64. £1278 F 300

65. The temperature at noon at an Antarctic weather centre was –15°C. At midnight it had fallen by 12°C. What was the temperature at midnight? F 400

67. Jasmine borrows £5000 from a loan company to buy a car. The loan company charges 6% per year simple interest. How much interest will Jasmine have paid after 3 years? F 500

68. £900 F 500