can someone answer all this pls submission to maam tmrw
1. Express each of the following ratios in the simplest form.
(a) 5.6 m to 28 cm
(b) dozen to a score
(c) score to a gross
(d) 6 hours to a day
(e) 20 litres to 0.75 litres
(f) 1728 : 2400
2. Simplify the following ratios.
(a) 1/4 : 1/6 : 1/8
(b) 3.6 : 4.5
(c) 3²/₃ : 4¹/₂
(d) 3 : 2.4 : 2¹/₄
3. Compare the following ratios.
(a) 5 : 7 and 4 : 3 (b) 1/3 : 1/4 and 1/5 ∶ 1/4 (c) 2¹/₂ : 3¹/₃ and 0.3 : 1
(d) 2³/₄ : 1²/₃ and 1.2 : 1.5
5. In the ratio 3 : 5, the consequent is 15. Find the antecedent.
6. Divide 3000 among P, Q, R in the ratio 2 : 3 : 5
7. Which of the following statements are true?
(a) 25 : 35 = 45 : 55
(b) 105 : 30 = 49 : 14
(c) 45 : 48 = 60 : 64
(d) 2/3 : 7/9 = 3/4 : 5/6
(e) 4.2 : 12.6 = 1.5 : 4.5
(f) 12 : 18 = 28 : 12
8. Determine if the following ratios form a proportion.
(a) 25 cm : 1 m = $40 : $160
(b) 200 ml : 2.5 l = $4 : $50
(c) 32 m : 64 m = 7 seconds : 14 seconds
(d) 6.5 litres : 13 litres = 50 kg : 10 kg
9. Find the value of x in each of the following.
(a) 4, 5, x, 480
(b) 9, 21, 33, x
(c) x, 28, 20, 4
(d) 15, x, 27, 63
(e) x, 30, 60
(f) 6, x, 24
10. Find the fourth proportional to
(a) 5.6, 2.1, 1.6, x
(b) 3/4, 15/16, 2/4, x
(c) 5³/₅, 3¹/₂, 2, x
(d) 8, 6, 4, x
11. Find the third proportional to
(a) 9, 6, x
(b) 0.2, 0.4, x
(c) 9/16, 3/5, x
(d) 6, 12, x
12. Find the mean proportional between
(a) 9 and 4
(b) 1.6 and 0.4
(c) 1⁴/₅ and ⁴/₅
Answers
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Step-by-step explanation:
1. Express each of the following ratios in the simplest form.
(a) 5.6 m to 28 cm
1m=100cm
5.6m=5.6×100=560cm
(b) dozen to a score
1 dozen=12
1 score= 20
RATIO=12:20
RATIO=3:5
(c) score to a gross
1 gross=144
1 score= 20
RATIO= 144:12 =12:1
(d) 6 hours to a day
1day =24 hours
RATIO= 6:24=1:4
(e) 20 litres to 0.75 litres
RATIO= 20:0.75= 200:3
(f) 1728 : 2400
RATIO=18:25
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