Grade 10 Review of Essential Skills - Answers

Review of Essential Skills Answers1 Earning Income7. a) 0.01 3 200 5 2 students with red hairb) 0.4 3 420 5 168 girls1. a) 1 year 5 12 monthsc) 0.125 3 56 5 7 students with blond hairb) 1 year 5 52 weeksc) 1 hour 5 60 minutes2. a) $15 000 4 12 5 $12502 Linear MeasurementTony earned $1250 per month.1. a) 2.5 3 10 2 5 250b) $62 400 4 52 5 $1200b) 78.26 3 10 2 5 7826Eve earned $1200 per week.c) 4.09 3 10 3 5 4090c) 4.5 h/day 3 5 days 5 22.5 hd) 0.006 3 10 3 5 622.5 h 3 $20/h 5 $4502. a) 0.85 4 10 1 5 0.085Richard earned $450 last week.b) 982.6 4 10 2 5 9.8263. a) shaded: 40%; unshaded: 60%c) 1760 4 10 3 5 1.76b) shaded: 75%; unshaded: 25%d) 4.33 4 10 3 5 0.004 334. Yes, if you got all the questions correct, 3. a) 1 km 5 1000 myou would get 105% on the test.b) 1 cm 5 0.01 m5. a) 27% 5 0.27 d) 11.9% 5 0.119c) 1 mm 5 0.001 mb) 2% 5 0.02 e) 0.5% 5 0.0054. a) 10 km 5 10000 mc) 10% 5 0.1 f) 1.25% 5 0.01250.1 km 5 100 m6. a) 0.73 5 73100 , 73%b) 10 cm 5 0.1 m100 cm 5 1 m9b) 0.9 5100 , 90%c) 10 mm 5 0.01 m1000 mm 5 1 m2c) 0.02 5100 , 2%d) 0.025 5 2.5100 , 2.5%e) 0.375 5 37.5100 , 37.5%f) 0.001 5 0.1100 , 0.1%NELReview of Essential Skills Answers 1

5. a)kmm1 10002 20003 3000b) cm m1 0.012 0.023 0.03c)mcm1 1002 2003 300d)mmm1 10002 20003 30003 Measurement Problems1. d 5 72. 8.5 5 r3. a) P 5 14 cmb) A 5 28 cm 24. a)c) w 5 6 md) C 8 15.7 mme) d 8 10 cmb)5. a) 4 3 86. a) 1 67. a) 1 1 812 in. 0.393... in.530.5 cm 1 cm1 cm 5 0.39 in.12 in.30.5 cm 5 1 in.2.541...1 in. 5 2.54 cmb) 2 1112b) 712c) 916c) 2 5 8d) 2 112d) 4 3 8b) 3 c) 13 d) 26. a) 1 cm 5 10 mm c) 20 mm 5 2 cmb) 2.5 cm 5 25 mm d) 13 mm 5 1.3 cm7. a) 67 mm 210 mmb) 6.7 cm 21.0 cm15 8. a)3 3 12 5 4 c) 3 16 5 1083 2 b)4 3 36 5 27 d) 3 100 5 4059. a) 4 3 5 2015b)616 5 3 8c) 3624 5 3 2d) 4 6 5 6 9NELApprenticeship and Workplace 10: Review of Essential Skills2

4 Area Measurement1. a) Area of square J 5 9 cm 2b) Area of square K 5 25 m 22. a) side length 5 9 mb) side length 5 6 cm3. a) Area of parallelogram N 5 48 m 2b) Area of rectangle O 5 40 cm 2c) Area of triangle P 5 27.5 cm 2d) Area of circle Q 5 314.2 cm 24. Surface area of cube T 5 96 cm 25.Area of 2 circular ends: Area of curved surface:2(pr 2 ) 5 2(78.5 cm) length of rectangle:5 157 cm 2 2 3 p 3 r 5 31.4 cmarea of rectangle:31.4 cm 3 6 cm5 188.4 cm 2Total area 5 157 cm 2 + 188.4 cm 25 345.4 cm 24. a)b)c)kgg1 10002 20003 30004 4000gkg1 0.0012 0.0023 0.0034 0.004mgg1 0.0012 0.0023 0.0034 0.0045 Capacity, Volume, Mass,and Temperature1. 1 mL 5 0.001 L10 mL 5 0.01 L100 mL 5 0.1 L1000 mL 5 1 Ld) g mg1 10002 20003 30004 40002. 1 cm 3 5 0.000 001 m 3 1 mm 3 5 0.001 cm 35. a) 1 2 in. 5 0.5 in. c) 1 in. 5 0.125 in.83. 1 kg 5 1000 g10 kg 5 10 000 g0.1 kg 5 100 g1 mg 5 0.001 g10 mg 5 0.01 g100 mg 5 0.1 gb) 3 4 in. 5 0.75 in. d) 5 in. 5 0.625 in.86. y 5 777. a) 9 2 (22) 5 11b) 28 2 (+13) 5 221c) 26 2 (214) 5 8d) 12 2 (23) 5 158. y 5 5NELReview of Essential Skills Answers 3

6 Working with Money1. a) $2 c) $13b) $6 d) $402. a) about $10b) about $30c) about $4d) about $8e) about $14f) about $203. a) $7.25 d) $10.67b) $21.74 e) $14.50c) $5.17 f) $5.804. a) 17%, 0.17 c) 3%, 0.03b) 85%, 0.85 d) 101%, 1.015. a) 1720 5 85100Percent: 85% Decimal: 0.85b)151000 5 1.5100Percent: 1.5% Decimal: 0.015c) 2625 5 104100Percent: 104% Decimal: 1.046. a) 12.5% c) 133.3%b) 33.3% d) 77.8%7. a) 0.75 3 $50 5 $37.50b) 0.15 3 $96.40 5 $14.46;about $14.50c) 0.12 3 $6 5 $0.72d) 1.25 3 $54 5 $67.508. a) $0.40b) $2.55c) $6.80d) $3.409. a) e.g., about $4.50b) e.g., about $117 Lines and angles1. a) 158b) 11082. a) 1658, 1808b) 708, 18083. two, because 1808 4 908 5 24. a) 458b) 31585. a) the horizontal line segments areparallel to each otherthe vertical line segments are parallelto each other8 Relationships in RightTriangles1. a) 288 e) 908b) 858 f ) 688c) 908 g) 908d) 368 h) 4882. a, c, d, e, f, and g, because they have one908 angle3. a) 8 2 5 64 d) 0.4 2 5 0.16b) 13 2 5 169 e) 10.05 2 5 101.0025c) 2.5 2 5 6.25 f) (100 + 20) 2 5 14 4004. a) "49 5 7b) "0.16 5 0.4c) "30 5 5.4772 …d) "0.1 5 0.3162 …e) "13 2 5 13f) "136 1 252 5 7.8102 …5. a) c 5 5 b) x 5 7.0710…6. a) 2 2 1 4 2 u 6 2 c) 50 2 5 30 2 + 40 2b) 7 2 u 8 2 2 6 2 d) 5 2 2 3 2 u (5 2 3) 2 4NELApprenticeship and Workplace 10: Review of Essential Skills

9 Similar Polygons1. a) 4 : 6, or 2 : 36.b) 4 to 10, or 2 to 5c) 40%2. 2 : 16, 1 : 83. 5 : 1, 75 : 15, 50 : 104. 60 : 100, 30 : 50, 3 : 55. a) 1 2 5 4 8b) 3 4 5 1216c) 1416 5 7 8d) 5 6 5 1.51.8Base (in.) 4 6 8 10 12 20Height (in.) 6 9 12 15 18 307. a) e.g., For the fraction 1 8 , calculate1 4 8 and then add the result 0.125 tothe whole number to get 3.125.b) 2.5 in. or 2 1 2 in.8. a) 5.0 cm, 4.5 cm, 4.0 cm, 508, 708, 60810 Transformations1.yA (–2, 3)42–4 –2 0 2 4–2–4B (–3, –5)2.yA’ (3, 5)A (–2, 3)42–4 –2 0 2 4–2–4B’ (2, –3)B (–3, –5)xx3.yA (–2, 4)4B (3, 4)D (–1, 2)2C (2, 2)–4 –2 0–2D’ (–1, –2)24C’ (2, –2)xA’ (–2, –4)–4B’ (3, –4)4. CNELReview of Essential Skills Answers 5