The academic team of Physics Wallah prepared a worksheet for class 8 chapter ratio and proportion encourages the students to become familiar with many questions and think more about the topic. Questions are related to expressing ratios in a very simple way, simplifying ratios, comparing ratios, arranging ratios in ascending or descending order, and proportion and mean proportional between numbers. Do follow** CBSE Worksheet for class 8 Mathematics. **Check out main page of Physics Wallah.

**Summary:**

a, b, c, d are in proportion if a/d = b/c

**Mean proportional:**

If a: b:: b: c, then a/b = b/c

b^{2} = ac

b = √ac

**Duplicate Ratio**: The duplicate ratio of (a : b) is (a^{2 }: b^{2})

**Sub-Duplicate Ratio**: The sub-duplicate ratio of (a: b) is

**Triplicate Ratio**: The Triplicate ratio of (a : b) is (a^{3 }: b^{3})

**Sub-Triplicate Ratio**: The sub-triplicate ratio of (a: b) is (a^{1/3}: b^{1/3})

**Q1. If a: b = 5 : 9 and b : c = 4 : 7, find a : b : c.**

**Q2. Find the fourth proportional of 5, 8, 15.**

**Q3. If Rs. 782 be divided into three parts, proportional to 1/2:2/3:3/4 , then find the first part.**

**Q4. A bag contains 50 p, 25 p and 10 p coins in the ratio 5 : 9 : 4, amounting to Rs. 206. Find the number of coins of each type.**

**Q5. The third proportional of 0.36 and 0.48 is:**

A) 0.64

B) 0.1728

C) 0.42

D) 0.94

**Q6. If 2A = 3B and 4B = 5C, then A : C is:**

A) 4 : 3

B) 8 : 15

C) 15 : 8

D) 3 : 4

**Q7. If x : y = 5 : 2, then (8x + 9y) = (8x + 2y) is:**

A) 22 : 29

B) 26 : 61

C) 29 : 22

D) 61 : 26

**Q8. Two numbers are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers are in the ratio 12 : 23. The smaller number is:**

A) 27

B) 33

C) 49

D) 55

**Q9. The ratio of three numbers is 3 : 4 : 7 and their product is 18144. The numbers are:**

A) 9, 12, 21

B) 15, 20, 25

C) 18, 24, 42

D) none of these

**Q10. What least common number must be subtracted from each of the numbers 14, 17, 34 and 42 so that the remainders may be proportional?**

A) 0

B) 1

C) 2

D) 7

**Q11. The speeds of three cars are in the ratio 5 : 4 : 6. The ratio between the time taken by them to travel the same distance is:**

A) 5:4:6

B) 6:4:5

C) 10:12:15

D) 12:15:10

**Q12. Monthly incomes of A and B are in the ratio of 4:3 and their savings are in the ratio of 3:2. If the expenditure of each will be Rs. 600, what will be the monthly income of B?**

A) 2400

B) 1170

C) 1500

D) 1800

**Q13. In a bag there are coins of 25p, 10p and 5p in the ratio of 1:2:3. If there is Rs.30 in all, how many 5p coins are there?**

A) 50

B) 100

C) 150

D) 200

**Q14. In a 60 liter mixture of milk and water, the ratio of milk to water is 2:1. How many liters of water is to be added to this, to make the ratio 1:2 in the new mixture?**

A) 42

B) 56

C) 60

D) 70

**Q15. x/y = 3/2 If , then is:**

A) 4/3

B) 1/2

C) 5/4

D) 5

- 20: 36: 63
- 24
- 204
- 50p = 200 ; 25p = 360 ; 10p =160
- (A)
- (C)
- (C)
- (B)
- (C)
- (C)
- (D)
- (D)
- (C)
- (C)
- (D)