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.
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
● Ratio and Proportion
Worked out Problems on Ratio and Proportion
Practice Test on Ratio and Proportion
● Ratio and Proportion - Worksheets
Worksheet on Ratio and Proportion
8th Grade Math Practice
From Worksheet on Ratio and Proportion to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.
Dec 06, 23 01:23 AM
Dec 04, 23 02:14 PM
Dec 04, 23 01:50 PM
New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.