Subscribe to our YouTube channel for the latest videos, updates, and tips.


Worksheet on Ratios

In worksheet on ratios the questions are related to the basic concept of ratio, ratio in the simplest form, comparison of ratios, conversion of ratios, and also find the equivalent ratios. Recall the topic and then practice the questions on ratio.


1. Express the following ratios in the simplest form. 

(a) 30 : 45 

(b) 250 : 100 

(c) 1.5 : 5.1 

(d) 2.1 : 7 

(e) 8x : 12x 

(f) 2¹/₆ ∶ 1¹/₃

(g) ¹/₈ ∶ ¹/₁₀

(h) ²/₃ ∶ ⁵/₇ : 1

(i) 2¹/₅ ∶ 1¹/₄ : 1¹/₅

(j) ²/₅ ∶ ³/₁₀

(k) ¹/₂ ∶ ¹/₄ ∶ ¹/₆

(l) 4p²q : 10pq²

(m) a dozen to a score

(n) 9 months : 2¹/₂ years

(o) 5 m : 600 cm



2. Compare the following ratios.

(a) 2 : 3 and 4 : 5

(b) 11 : 19 and 19 : 21

(c ) ¹/₂ ∶ ¹/₃ and ¹/₃ ∶ ¹/₄

(d) 1¹/₅ : 1¹/₃ and ²/₅ ∶ ³/₂

3. (a) If a : b = 6 : 5 and b : c = 10 : 9, find a : c.

(b) If x : y = ¹/₆ ∶ ¹/₈ and y : z = ¹/₈ ∶ ¹/₁₀, find x : z

(c) If p : q = 1¹/₂ : 2¹/₃ and q : r = 1¹/₃ : ²/₅ find p : q : r

(d) If a : b = 6 : 7 and b : c = 3 : 5, find a : b : c


4. Are the following ratios equivalent?

(a) 3 : 5 and 15 : 25

(b) 1 : 4 and 2 : 3

(c) 8 : 3 and 24 : 30

(d) 2.5 : 3.5 and 0.5 : 0.7


Worksheet on Word Problems on Ratios:

5. In a school library, the ratio of science books to that of math books is 4 : 5. If there are 384 science books, find the number of math books in the library.

6. The ratio of the number of male and female teachers in a school is 2 : 11. If the number of male teachers is 112, find the number of female teachers.

7. An alloy contains zinc and copper in the ratio 7 : 9. Find the weight of copper if it has 31.5 kg of zinc.


8. Two numbers are in the ratio 7 : 5. If their difference is 96, find the numbers.

9. Two numbers are in the ratio 3 : 2 and their sum is 60. Find the numbers.

10. The three angles of a scalene triangle are in the ratio 2 : 3 : 5. Find the measures of the angles.

11. Divide $90 in the ratio 7 : 8.

12. Divide 36 chocolates in the ratio 2 : 3 : 4.

13. A line segment of length 20 cm is divided into three parts in the ratio 1 : 2 : 3. Find the length of each part.

14. A certain amount is divided into two parts in the ratio 4 : 5. If the first part is 120, find the total.

15. Divide $700 into three parts such that the first part is 2/3 of the second and the ratio between the second and third is 4 : 5.

16. Divide 108 bottles of juice between A and B in the ratio ¹/₅ : ¹/₇.

17. The sides of the quadrilateral are in the ratio 1 : 2 : 3 : 4 and the perimeter is 40 cm. Find the length of each side.

18. Divide one month profit of $ 10,000 between Michael and Robert in a ratio 1 : 4.

19. Divide 1000 in two parts such that the ratio of parts be 7 : 3.

20. The number of cards collected by Mary, Jennifer and Elizabeth are in the ratio 1 : 3 : 5 respectively. If Mary has a collection of 45 cards, find the number of cards with Jennifer and Elizabeth.

Worksheet on Ratios

Answers for the worksheet on ratios are given below to check the exact answers of the questions.

Answers:

1. (a) 2 : 3

(b) 5 : 2

(c) 5 : 17

(d) 3 : 10

(e) 2 : 3

(f) 13 : 8

(g) 5 : 4

(h) 14 : 15 : 21

(i) 44 : 25 : 24

(j) 4 : 3

(k) 6 : 3 : 2

(l) 2p : 5q

(m) 3 : 5

(n) 3 : 10

(o) 5 : 6


2. (a) 2/3 < 4/5

(b) 11 : 19 < 19 : 21

(c) 1/2 ∶ 1/3 > 1/3 ∶ 1/4

(d) 1¹/₅ ∶ 1¹/₃ > ²/₅ ∶ ³/₂


3. (a) 4 : 3

(b) 5 : 3

(c) 45 : 70 : 21

(d) 18 : 21 : 35


4. (a) equivalent

(b) not equivalent

(c) not equivalent

(d) equivalent


5. 480

6. 616

7. 40.5 kg


8. 336, 240

9. 36, 24

10. 36°, 54°, 90°

11. $42, $48

12. 8, 12, 16 chocolates

13. 3¹/₃ cm, 6²/₃ cm, 10 cm

14. 270

15. $160, $240, $300

16. 63 bottles, 45 bottles

17. 4 cm, 8 cm, 12 cm, 16 cm

18. Michael = $ 2,000  and  Robert = $ 8,000

19. 700 and 300

20. Jennifer = 135    and    Elizabeth = 225

 Ratios and Proportions - Worksheets

Worksheet on Ratios

Worksheet on Proportions




7th Grade Math Problems 

From Worksheet on Ratios 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.



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.




Share this page: What’s this?

Recent Articles

  1. Speed Distance and Time | Relation between Speed Distance and Time

    May 21, 25 12:58 PM

    Speed is defined as the distance covered per unit time. Speed = (Distance Travelled)/(Time Taken) Or, S = D/T. Speed also requires a unit of measurement. If the distance is in kilometres

    Read More

  2. Math Problem Answers | Solved Math Questions and Answers | Free Math

    May 21, 25 12:45 PM

    Partial fraction
    Math problem answers are solved here step-by-step to keep the explanation clear to the students. In Math-Only-Math you'll find abundant selection of all types of math questions for all the grades

    Read More

  3. Test of Divisibility | Divisibility Rules| Divisible by 2, 3, 5, 9, 10

    May 21, 25 10:29 AM

    The test of divisibility by a number ‘x’ is a short-cut method to detect whether a particular number ‘y’ is divisible by the number ‘x’ or not. Test of divisibility by 2: A number is divisible by 2

    Read More

  4. Divisible by 7 | Test of Divisibility by 7 |Rules of Divisibility by 7

    May 21, 25 10:17 AM

    Divisible by 7
    Divisible by 7 is discussed below: We need to double the last digit of the number and then subtract it from the remaining number. If the result is divisible by 7, then the original number will also be

    Read More

  5. Average Word Problems | Worksheet on Average Questions with Answers

    May 20, 25 05:40 PM

    In average word problems we will solve different types of problems on basic concept of average. 1. Richard scored 80, 53, 19, 77, 29 and 96 runs in 6 innings in a series. Find the average runs scored…

    Read More