Worksheet on Ratio and Proportion

Math worksheet on ratio and proportion encourage the students to practice more questions and think more about it. The questions are related to express the ratios in the simplest form, simplify the ratio, compare the ratios, arranging the ratios in the ascending order or descending order, proportion and also mean proportional between the numbers.

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

4. Arrange the following in ascending order.

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 for the math worksheet on ratio and proportion are given below to check the exact answers of the questions.

Answers:

1. (a) 20 : 1

(b) 3 : 5

(c) 5 : 36

(d) 1 : 4

(e) 80 : 3

(f) 18 : 25

2. (a) 6 : 4 : 3

(b) 4 : 5

(c) 22 : 27

(d) 20 : 16 : 15

3. (a) 5 : 7 < 4 : 3

(b) 1/3 ∶ 1/4 > 1/5 : 1/4

(c) 2¹/₂ : 3¹/₃ > 0.3 : 1

(d) 2³/₄ : 1²/₃ > 1. 2 : 1.5

4. (a) 1 : 3, 3 : 8, 5 : 6

(b) 7 : 10, 4 : 5, 17 : 20

(c) 1 : 5, 5 : 14, 3 : 7, 7 : 10 5. 9

6. $600, $900, $1500

7. (b) true

(c) true

(e) true

8. (a) (b) (c) in proportion

9. (a) 384

(b) 77

(c) 140

(d) 35

(e) 15

(f) 12

10. (a) 0.6

(b) 5/8

(c) 5/4

(d ) 3

11. (a) 4

(b) 0.8

(c) 16/25

(d) 24

12. (a) 6

(b) 0.8

(c) 6/5

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