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REVIEW 1b part 1 1 2 M 070 Round each number as indicated: a) 875 (ten) b) 6.495 23 (2 d.p.) c) 278.654 (whole number) d) 29 895 (thousand) Write an expression for each of the following: a) b) c) d) e) f) g) h) i) j) the product of x and y k less than w the quotient of d and e twice q k take away m half of n r times p z subtracted from h double g triple k 3 The difference between two numbers is 468. The larger number is 759. What is the smaller number? 4 The product of two numbers is 1416. One number is 24. What is the other number? 5 The sum of two numbers is 657. One number is 285. What is the other number? 6 The bill for a dinner for 4 people was AED 250. What was the cost per person? 7 The cafeteria sold 195 lunch specials at Dh 7 each. How much money did the cafeteria receive? 8 50 sweets are to be shared between 6 children. (a) How many sweets does each child get? (b) How many sweets are left over? M070 FWC lv gp review 1b 9 Abdulla drove 560 kilometres on Monday. On Sunday he drove 720 kilometres. How many more kilometres did he drive on Sunday than on Monday? 10 In one month you spend Dh 815 on food, Dh 4 295 on rent, Dh 365 on telephone calls, and Dh 428 on electricity. Estimate the total costs for the month. 11 A parking lot has 14 rows of parking spaces. Each row has 26 spaces. Approximately how many cars can be parked in the car park? 12 A college takes 129 students and 8 teachers on a trip by bus. Each bus holds 25 passengers. How many buses are needed? 13 Evaluate 14 (a) 27 – (36 2 – 3 x 4) (c) 19 + 3[28 – 2(19 – 6 x 3 + 4)] List the first four multiples of 21 M070 FWC lv gp review 1b (b) 68 – 15 3 + 7 x 3 – 14 REVIEW 1b part 2 M 070 1. Write these numbers in ascending order: -9.23, -8.6, -9.2, -9.3, -8.5 2. Write these numbers in descending order: -3.7, -3.67, -3.75, -3.608, -3.73 3. Use the symbols < , > or = to complete the following: (a) 4. 6. (b) 29 46 -13 + 4 x (-3) Subtract –27 from the sum of –6 and –12 (b) Subtract the product of –3 and 7, from –9 (c) Divide the product of 10 and –3, by the total of 8 and –13 Find the change in temperature for each of the following. Is each a rise or a fall? From -15C to -4C (b) From -6C to -17C (b) 15(3 5) 4(3 14) 2(33 45) 13 Evaluate: 6(4 – 3(-2)) (-15) + 9 Evaluate (a) 9. --16 + 13 27 (a) (a) 8. -6.728 _____ -6.76 Write the expression for each of the following, and then evaluate: (a) 7. (b) Evaluate: (a) 5. -16.48 ____ -16.437 6.7 squared (b) 4.2 cubed (c) Evaluate the following. Leave your answer in fraction form: (a) 5-3 M070 FWC lv gp review 1b (b) 3-5 (-1.2)5 10. Evaluate, rounding your answer to the number of decimal places indicated. (a) 11. 6.2-3 (3 d.p.) (b) 2.72-4 (2 d.p.) Evaluate (a) (7 – 3 x 4)3 – 4(16 4 – 6)4 (b) (c) 0 95 (d) (d) 47 0 8 2 5( 4 2) 4 (29 – 21) (42 – 16) 106 12. Write these numbers in decimal form: 13. Write these numbers as ordinary numbers in decimal form: (a) 14. 7.069 x 102 (b) (a) (12 7)2 3(8 5)3 1.67 x 10-2 (b) (c) 10-5 2.95 x 10-5 Calculate and write your answer as an ordinary number in decimal form. (a) 42 500 000 x 280 000 (b) 0.000 000 56 x 0.000 068 15. It costs Dh 405 for 9 calculators. How much does each calculator cost? 16. Abeer makes deposits to her account of Dh 265, Dh 75.50 and Dh 4 025. She also writes cheques for Dh 95 and Dh 765. Her initial balance was Dh 9 657. What is the new balance of her account? 17. How many stamps each costing Dh 4 can be bought for Dh 30? 18. A piece of chain 54 metres long is cut into 8 pieces of equal length. How long is each piece? M070 FWC lv gp review 1b 19. Hessa buys a television for Dh 1275. She gives a deposit of Dh 350. How much does she still owe? 20. Kulaithem is putting photographs in an album. She can fit 8 photographs on each page. She has 100 photographs. How many pages does she need? 21. A car travels at a steady speed of 85 kilometres per hour. How long does the car take to travel 765 kilometres? 22. A car travels at a steady speed of 90 kilometres per hour. How far will the car travel in 3.5 hours? 23. A car travels 855 kilometres in 9 hours. What was the average speed of the car? 24. How much change will I get from a Dh 500 note, after buying two CDs at each, three books at Dh 70 each and a calculator for Dh 55? 25. Mariam pays a deposit of Dh 225 on a stereo and pays 12 monthly payments of Dh 125 each. What is the total cost of the stereo? 26. A student scored 83, 96, 82, 78, and 81 on five tests. What was the average score? 27. The average price of 6 items is Dh 35. The average price of 4 items is Dh 52. What is the average price of all 10 items? 28. To get a grade A in Mathematics, you must have an average score of 85 on five tests. On the first four tests you score 79, 93, 82 and 75. What must you score on the fifth test to get a grade A? M070 FWC lv gp review 1b Dh 55 ANSWERS part 1 1. (a) 880 (b) 6.50 (c) 279 (d) 30 000 2. (a) xy (b) w-k (c) d e (d) 2q (e) k-m (f) 1 n 2 (g) pr (h) h–z (i) 2g (j) 3k 3. 291 4. 59 7. Dh 1365 10. 800 + 4300 + 400 + 400 = 5900 Dh 5900 12. 6 buses 14. 21, 42, 63, 84 8. 13. (a) (a) 5. 372 8 (b) 21 6. 2 9. 11. (b) Dh 62.50 160 km 10 x 30 = 300 cars 70 (c) 73 ANSWERS part 2 1. 3. -9.3, -9.23, -9.2, -8.6, -8.5 (a) < (b) > 5. (a) -6 + (-12) (-27) = 9 6. (a) 11C rise (b) 11C fall 8. (a) 44.89 (b) 74.088 (c) -2.488 32 9. (a) 1 125 (b) 1 243 10. (a) 0.004 11. (a) -189 (b) 3.5 (c) 0 (d) 12. (a) 1 000 000 (b) 0.000 01 13. (a) 706.9 14. (a) 11 900 000 000 000 15. Dh 45 16. Dh 13 162.50 17. 7 stamps 18. 6.75 m 19. Dh 925 20. 13 pages 21. 9 hours 22. 314 km 23. 95 km/h 24. Dh 125 25. Dh 1725 26. 84 27. Dh 41.80 28. 96 (b) M070 FWC lv gp review 1b 2. 4. (b) 0.016 7 (b) -3.608, -3.67, -3.7, -3.73, -3.75 (a) -2 (b) 16 10 ( 3) -9 – (-3) x 7 = 12 (c) 6 8 ( 13) 7. (a) 5 (b) 2 (c) (b) 0.02 0.000 029 5 0.000 000 000 038 08