Practice Test on Ratio and Proportion

Math practice test on ratio and proportion encourage the students to practice the questions given in the worksheet. The questions are mainly related to the simplification of ratio to its lowest terms, continued proportion and also word problems on ratio and proportion.

1. The ratio of monthly income to the savings in a family is 5 : 4 If the savings be $9000, find the income and the expenses. 

2. What should be added to the ratio 5 : 11, so that the ratio becomes 3 : 4? 

3. Two numbers are in the ratio 7 : 5. If 2 is subtracted from each of them, the ratio becomes 3 : 2. Find the numbers. 

4. Two numbers are in the ratio 3 : 7. If their sum is 710, find the numbers. 

5. Find the ratio of A : B: C when 

(a) A : B = 3 : 5   A : C = 6 : 7 

(b) B : C = 1/2: 1/6   A : B = 1/3 ∶ 1/5 

6. A sum of money is divided among Ron and Andy in the ratio 4 : 7. If Andy’s share is $616, find the total money.

7. Two numbers are in the ratio 5 : 7. On adding 1 to the first and 3 to the second, their ratio becomes 6/9 . Find the numbers.

8. The difference between two numbers is 33 and the ratio between them is 5 : 2. Find the numbers.

9. The ages of A and B are in the ratio 3 : 5. Four years later, the sum of their ages is 48. Find their present ages.

10. Ramon has notes of $100, $50 and $10 respectively. The ratio of these notes is 2 : 3 : 5 and the total amount is $2,00,000. Find the numbers of notes of each kind.

11. If 4A = 5B = 6C, find the ratio of A : B : C.

12. Divide $430 into 3 parts such that A gets 5/4 of B and the ratio between B and C is 3 : 4.

13. A certain sum of money is divided among A, B, C in the ratio 2 : 3 : 4. If A's share is $200, find the share of B and C.

14. Divide $940 among A, B, C in the ratio 1/3: 1/4 ∶ 1/5

15. The ratio of number of male and female teachers in a school is 3 : 4. If there are 16 female teachers, find the number of male teachers.

16. In a library the ratio of English books to Math books, is the same as the ratio of Math books to Science book. If there are 1200 books on English and 1800 books on Math, find the number of Science books.

17. Set up all the possible proportions from the numbers 12, 15, 8, 10.

18. Find the first term, if second, third and fourth terms are 21, 80, 120.

19. Find the second term, if first, third and fourth terms are 15, 27, 63.

20. Find the mean term, if the other two terms of a continued proportion are 15 and 60.

Answers for practice test on ratio and proportion are given below to check the exact answers of the questions.

Answers:

1. $11250, $2250

2. 13

3. 14, 10

4. 213, 497

5. (a) 6 : 10 : 7

(b) 5 : 3 : 1

6. $968

7. 15, 21

8. 55, 22

9. 15 years, 25 years

10. 1000, 1500, 2500

11. 15 : 12 : 10

12. $150, $120, $160

13. $300, $400

14. $400, $300, $240

15. 12

16. 2700

17. (i) 12 : 15 = 8 : 10

(ii) 15 : 12 = 10 : 8

(iii) 12 : 8 = 15 : 10

(iv) 8 : 12 = 10 : 15

18. 14

19. 35

20. 30

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