NewGCSEMathsEdexcelLinearHomeworkBookHigher2Answers

1.1 Solving real-life problems HOMEWORK 1A 1 25 × 12 = 300. 300 + 60 (20%) = 360. He buys 384 tiles, so he has enough. 2 No. £30 ÷ 85p = 35.29, so she can buy 35 packets of balloons, which is only 875. 3 Yes, the shop covers its costs, as 10% is £11, so £110 + £11 = £121 per TV. Rental is £3.50 × 40 weeks = £140 (£140 − £110 = £30 profit per TV). 4 27 5 £728 6 No. 860 ÷ 15 = 57.333... weeks, which is more than one year. Or: £860 ÷ 52 = £16.54 per week to save enough for one year. Or: £15 × 52 weeks = £780 saved in a year; £860 − £780 = £80 short. 80 ÷ £15 = 5.333 ... more weeks to save. 7 £2664 8 Mutya earns £84 each week. Neil earns £280 each week. Mutya will need to work for four weeks to earn over £280. 9 No, Mary is €30 short. She has enough money for only three presents. £504 ÷ 36 = £14 per person per ticket. Mary has £150 − £14 = £136. £136 × €1.25 = €170 10 1536 11 23 12 a £1000 b £912 13 a 24 m² b £12.50 14 28 15 Comparing over one year, 52 × 38 = 1976; 12 × 150 =1800 So stock is decreasing. 1.2 Multiplication and division with decimals HOMEWORK 1B 1 a 3.3 b 0.09 c 64.816 d 81.95 e 512.1 f 954.67 g 9.4 h 7.914 2 a 0.25 b 7.56 c 5.04 d 1.68 e 3.9 3 a i 8 ii 8.88 iii 0.88 b i 15 ii 14.88 iii 0.12 c i 20 ii 21.42 iii 1.42 d i 21 ii 16.25 iii 4.75 4 a 240 b i 2.4 ii 2.4 iii 7.2 5 a 24.48 b Subtract 3.4 (answer 21.08) 6 a 17.25 b 48 7 a 43.68 b 78.6 c 29.92 d 188.25 e 867.2 8 a £22.08 b £5.76 c £31.50 9 20 10 a 16 b i 160 ii 0.16 iii 0.16 11 19.74 ÷ 2.1 (Answer 9.4. This is approximately 20 ÷ 2 = 10) 1.3 Approximation of calculations HOMEWORK 1C 1 a 50 000 b 60 000 c 30 000 d 90 000 e 90 000 f 50 g 90 h 30 i 100 j 200 k 0.5 l 0.3 m 0.006 n 0.05 o 0.0009 p 10 q 90 r 90 s 200 t 1000 2 Hellaby: 850 to 949; Hook: 645 to 654; Hundleton: 1045 to 1054 3 a 6700 b 36 000 c 69 000 d 42 000 e 27 000 f 7000 g 2200 h 960 i 440 j 330 4 a 50 000 b 6200 c 89.7 d 220 e 8 f 1.1 g 730 h 6000 i 67 j 6 k 8 l 9.75 m 26 n 30 o 870 p 40 q 0.085 r 0.009 9 s 0.08 t 0.0620 5 95 or 96 6 650 − 549 = 101 7 63 HOMEWORK 1D 1 a 30 000 b 24 c 8 d 900 e 125 f 0.42 g 60 000 h 5600 2 a 200 b 40 c 800 d 40 000 e 15 000 f 2000 g 150 h 52 500 3 a 37 800 b 180 4 20 × 80 000 = 1 600 000; 6000 × 300 = 1 800 000; 500 × 7000 = 3 500 000; 10 000 × 900 = 9 000 000 5 100 000 km ( 8 × 2; i.e. to and from Earth) HOMEWORK 1E 1 a 28 000 b 42 000 c 210 d 20 000 e 2000 f 2100 g 5 h 9 i 700 j 75 k 50 l 8 2 a 600 b 10 c 1 d 40 e 30