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Lesson 6

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Homework Solutions

Lesson 6

1a) Real numbers

1b) Integers

1c) square root

1d) irrational number

1e) square numbers

2)

3a)

3b) 1 000 x 5 x 2/5 + 1 x 0

= 5 000 x 2/5 + 0

= 2 000 + 0

= 2 000

3c) 5/6 – 0 x 6/5

= 5/6 – 0

= 5/6

3d) 6 x 3 x 1/18 + 9 + 0

= 18 x 1/18 + 9 + 0

= 1 + 9 + 0

= 10

4)

5a) 422 800 / 1 00 = 4 228

5b) 422 801,15 / 101 = 4 186,15

5c) 4 228 – 4 186,15 = 41,85

6a) 18; 36; 54; 72 => 72 is 4th multiple of 18

6b) 36 as square root of 36 is 6

7a) 150 min : 1½ h

150 min : 90 min

150 = 2 x 3 x 5 x 5

90 = 2 x 3 x 3 x 5

HCF = 2 x 3 x 5 = 30

Divide both sides by 30

5 : 3

7b) 150 cm : 1 060 mm

1 500 mm : 1 060 mm

1 500 = 2 x 2 x 3 x 5 x 5 x 5

1 060= 2 x 2 x 5 x 53

HCF = 2 x 2 x 5 = 20

Divide both sides by 20

75 : 53

8) 18 / 5 = 3,6

72/25 = 2,88

18 : 5 as 3,6 > 2,88

9) Bell: 8:00; 8:10; 8:20; 8:30

Buzzer: 8:00; 8:15; 8:30

=> 8:30

10) 100% = 228

1% = 228 / 100 = 2,28

114% = 2,28 x 114 = R259,92 = R260

11) Milk : Water

125 ml : ½ l

125 ml : 500 ml

125 = 5 x 5 x 5

500 = 2 x 2 x 5 x 5 x 5

HCF = 5 x 5 x 5 = 125

Divide both sides by 125

1 : 4

12) Men: 13 / 108 = 0,1203

Women: 32 / 233 = 0,1373

Women has greater fraction

13) S = 100 km / h

t = 3 hours 2o min = 3 + 20/60 = 3,3333 h

d = s x t = 100 km / h x 3,3333 h = 333,33 km

s = d / t = 333,33 km/h = 2,6666 h = 125 km/h

14) P = 800; t = 3; SI = 168; r = ?

SI = prt / 100

168 = 800(r)(3) / 100

168 = 24r

Divide both sides by 24

r = 7

15) P = 5 600; r = 7,5; n = 4

Interest = 7 478,63 – 5 600 = R1 878,63

16) Learners remaining after filling single desks

= 33 – 9 = 24

Double desks takes 2 learners

Number of double desks = 24 / 2 = 12

17) Longer means less gardeners

6 x 2 = 12

12 / 3 = 4 gardeners