Answer Key – Ratio and Proportion

A. Fill in the blanks

1. 2:3
2. 3:2
3. 12
4. 27
5. 4
6. 8
7. 1:3
8. 15
9. proportion
10. 10

B. Simplify

1. 2:3
2. 4:5
3. 2:3
4. 3:7
5. 3:4
6. 3:4
7. 4:7
8. 4:5

C. Required form

1. 1:2
2. 4:1
3. 3:1
4. 3:4
5. 4:1
6. 2:5

D. Missing term

1. 12
2. 21
3. 12
4. 44
5. 28
6. 25
7. 24
8. 40

E. Yes/No

1. Yes
2. Yes
3. No
4. Yes
5. Yes
6. No

F. Multiple Choice

1. (b) 3:4
2. (c) 35
3. (a) 6:10
4. (d) Both a and c
5. (b) ₹5
6. (a) 2:3

G. Word Problems

1. 3:2
2. 4:3
3. 25 blue balls
4. 2 cups sugar
5. Riya = ₹240, Tina = ₹360
6. 300 km
7. Boys = 15, Girls = 9
8. 35 km

H. True or False

1. True
2. True
3. False
4. True
5. True
6. True

I. Challenge Questions

1. x = 15
2. x = 36
3. No. 2:3 has 5 total parts, and 25 ÷ 5 = 5, so actually Yes — cats = 10, dogs = 15.
4. 360 and 480
5. 40 and 56
6. Boys = 80, Girls = 100