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Mathematics Grade 10 ANSWERS TO EXERCISES AND CHAPTER TESTS All rights reserved. It is unlawful to photocopy without permission from Raven Research Associates or Access Copyright. 1 ANSWERS CHAPTER 1 Page 4 : Exercises 1.1 1 a. 3 b. 5 c. 2.5 d. -3.5 2 a. 6, 11, 16, 21, 26 b. -3, -7, -11, -15, -19 c. 8, 5, 2, -1, -4 d. 2.3,1.1,-0.1,-1.3,-2.5 3 a. 3, 8, 13, 18 b. 3, 10, 17, 24, 31 c. 100, 87, 74, 61, 48 d. 12, 4, -4, -12, -20 4 a. 2, -1, -4, -7, -10 b. -6, -1, 4, 9, 14 5 a. -38 b. 79 c. -101 d. 19 6 a. t n = 22 - 5n b. t n = 1 + 6n 7. a. 18 th term 7 b. 22 nd term 8 a. (i) 16, 19, 22, 25; (ii) t n = 13 + 3n; (iii) 62 8b.(i) -21, -18, -15, -12, -9; (ii) t n = -24 + 3n; (iii) 74 9 a. 35, b. 41 10. \$45 11. Row 9 12a. 22, b. 3 13. x + 48 14. x + 31, x + 22, x + 13 15. 42 16. 77 Page 8 :Exercises 1.2 1a. 168 b. 236 c. -220 2a. 5150 b. -2650 c. 5250 3a. 684 b. -585 c. 1150 4a. 8342 b. -3589 c. 577.5 5a. 91 b. -230 c. 759 6a. 8120 b. -13 400 c. 2178 7. 1632 8. 305.6 m 9a. 7 weeks b. 30 jackets, \$70 each 10. 12 320 11. 50, 57, 64, 71 12a. 143x b. 77x – 66y Page 12 : Exercises 1.3 1a. 2 b. -3 c. 3 1 d. -2 2a. 5, 15, 45, 135 b. 7, -14, 28, -56 c. -100, -50, -25, 2 25 - d. 3, -1, 3 1 , 9 1 - 3a. 4 1 b. 2 1 - c. 704 d. 4 27 - 4a. 1, 9, 81 or 1, -9, 81 b. 81, 27, 9, 3 c. 6,12, 24,48,96 or 6,-12,24,-48, 96 d. -5, -15, -45, -135 5a. 5, 15, 45, 135, 405 or 5, -15, 45, -135, 405 b. 800, 400, 200, 100, 50 or 800, -400, 200, -100, 50 6a. 2, 6, 18, 54 b. 2 1 , -2, 8, -32 7. 3.888 m 8. 262 144 9. \$317 374.86 10. \$25 331.13 11.-3,6,-12,24,-48,96 12. 11.25 cm 13a. -3 b. 1, 2, 4 Page 17 :Exercises 1.4 1. Item Regular Price Discount Rate Discount Net Price PST GST HST Final Price a. CD Jeans 22.99 64.99 15% 20% 3.45 13.00 19.54 51.99 1.37 3.64 1.37 3.64 - - 22.28 59.27 b. CD Jeans 22.99 64.99 15% 20% 3.45 13.00 19.54 51.99 0 0 1.37 3.64 - - 20.91 55.63 c. CD Jeans 22.99 64.99 15% 20% 3.45 13.00 19.54 51.99 1.47 3.90 1.37 3.64 - - 22.38 59.53 d. CD Jeans 22.99 64.99 15% 20% 3.45 13.00 19.54 51.99 1.56 4.16 1.37 3.64 - - 22.47 59.79 e. CD Jeans 22.99 64.99 15% 20% 3.45 13.00 19.54 51.99 - - - - 2.93 7.80 22.47 59.79 2. Item Regular Price Discount Rate Discount Net Price PST PST Rate GST Final Price a. T.V. 399.95 12% 47.99 351.96 35.20 10% 24.64 411.80 b. Watch 130.00 25% 32.50 97.50 6.83 7% 6.83 111.16 c. Picture 45.36 10% 4.54 40.82 3.06 7.5% 2.86 46.74 d. Back pack 59.52 50% 29.76 29.76 1.79 6% 2.08 33.63 e. Shirt 65.99 33% 21.78 44.21 3.54 3.09 50.84 3a . 9428 b. 784.89 c. 174 800 d. 72.165 e. 73

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Mathematics Grade 10 ANSWERS TO EXERCISES AND CHAPTER TESTS All rights reserved. It is unlawful to photocopy without permission from Raven Research Associates or Access Copyright. 2 4a. Quebec b. Saskatchewan c. Prince Edward Island 5a. 0.843 b. 0.733 c. 1.132 Page 21 : Exercises 1.5 1a. Year Opening Balance Interest Rate Interest Earned Closing Balance 1 5000.00 8% 400 5400.00 2 5400.00 8% 432 5832.00 3 5832.00 8% 466.56 6298.56 4 6298.56 8% 503.88 6802.44 5 6802.44 8% 544.20 7346.64 1b. Year Opening Balance Interest Rate Interest Earned Closing Balance 1 12 000.00 6.4% 768 12 768.00 2 12 768.00 6.4% 817.15 13 585.15 3 13 585.15 6.4% 869.45 14 454.60 4 14 454.60 6.4% 925.09 15 379.69 5 15 379.69 6.4% 984.30 16 363.99 1c. Year Opening Balance Interest Rate Interest Earned Closing Balance 1 3837.00 3.5% 134.30 3971.30 2 3971.30 3.5% 139.00 4110.30 3 4110.30 3.5% 143.86 4254.16 4 4254.16 3.5% 148.90 4403.06 5 4403.06 3.5% 154.11 4557.17 2a. Year Opening Balance Interest Rate Interest Earned Annual Investment Closing Balance 1 1200.00 5% 60.00 1200 2460.00 2 2460.00 5% 123.00 1200 3783.00 3 3783.00 5% 189.15 1200 5172.15 4 5172.15 5% 258.61 1200 6630.76 5 6630.76 5% 331.54 1200 8162.30 2b. Year Opening Balance Interest Rate Interest Earned Annual Investment Closing Balance 1 6000.00 3.6% 216.00 6000 12 216.00 2 12 216.00 3.6% 439.78 6000 18 655.78 3 18 655.78 3.6% 671.61 6000 25 327.39 4 25 327.39 3.6% 911.79 6000 32 239.18 5 32 239.18 3.6% 1160.61 6000 39 399.79 2c. Year Opening Balance Interest Rate Interest Earned Annual Investment Closing Balance 1 150 000.00 4.75% 7125.00 8000 165 125.00 2 165 125.00 4.50% 7430.63 7000 179 555.63 3 179 555.63 4.25% 7631.11 6000 193 186.74 4 193 186.74 4.00% 7727.47 5000 205 914.21 5 205 914.21 3.75% 7721.78 4000 217 635.99 3a. Year Opening balance Interest Rate Interest Charged Annual Payment Extra Payment Closing Balance 1 37 000.00 9% 3330.00 6000 - 34 330.00 2 34 330.00 9% 3089.70 6000 - 31 419.70 3 31 419.70 9% 2827.77 6000 7000 21 247.47 4 21 247.47 9% 1912.27 6000 - 17 159.74 5 17 159.74 9% 1544.38 6000 - 12 704.12 3b. Year Opening balance Interest Rate Interest Charged Annual Payment Extra Payment Closing Balance

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