# Grade 8 Direct and Indirect Proportions Worksheets

## Grade 8 Maths Direct and Inverse Proportions Multiple Choice Questions (MCQs)

1. If 25 metres of cloth costs of ₹ 1575, how many metres of it can be bought for ₹ 2016?
(a) 30 m
(b) 32 m
(c) 36 m
(d) None of these

2. A worker is paid ₹ 1110 for 6 days. If his total wages during a month are ₹ 4625, for how many days did he work?
(a) 15 days
(b) 25 days
(c) 30 days
(d) None of these

3. The length of the shadow of a 3 m high pole at a certain time of the day is 3.6 m. What is the length of the height of another pole whose shadow at that time is 54 m long?
(a) 30 m
(b) 40 m
(c) 45 m
(d) None of these

4. Traveling 900 km by rail costs ₹ 280. What would be the fare for a journey of 360 km when a person travels by the same class?
(a) ₹ 118
(b) ₹ 112
(c) ₹ 119
(d) None of these

5. If 8 kg sugar costs ₹ 148, how much sugar can be bought for ₹ 832.50?
(a) 45 kg
(b) 50 kg
(c) 60 kg
(d) None of these

6. The cost of 37 m of silk is ₹ 3145. What length of this silk can be purchased for ₹ 1445?
(a) 15 m
(b) 16 m
(c) 17 m
(d) None of these

7. If 22.5 m of a uniform iron rod weighs 85.5 kg, what will be the length of 22.8 kg of the same rod?
(a) 5 m
(b) 6 m
(c) 7 m
(d) None of these

8. Manoj types 540 words during half an hour, how many words would he type in 6 minutes?
(a) 105
(b) 106
(c) 108
(d) None of these

9. Rohit bought 12 registers for ₹ 156, find the cost of 7 such register.
(a) ₹ 90
(b) ₹ 91
(c) ₹ 92
(d) None of these

10. Pranshu takes 125 minutes in walking a distance of 100 m. What distance would he cover in 315 minutes?
(a) 250 m
(b) 252 m
(c) 254 m
(d) None of these

11. If 56 men can do a piece of work in 42 days, how many men will do it in 14 days?
(a) 165
(b) 166
(c) 168
(d) None of these

12. 120 men have food provision for 200 days. After 5 days, 30 men died due to the cancer. How long will the remaining food last?
(a) 260 days
(b) 275 days
(c) 250 days
(d) None of these

13. If x and y varies inversely as each other and x = 10 when y = 6 . Find y when x = 15.
(a) 5
(b) 6
(c) 4
(d) None of these

14. Shreya cycles to her school at an average speed of 12 km/hr. It takes her 20 minutes to reach the school. If she wants to reach her school in 15 minutes, what would be her average speed?
(a) 15 km/hr
(b) 16 km/hr
(c) 18 km/hr
(d) None of these

15. 1000 soldiers in a fort has enough food for 20 days. But some soldiers were transferred to another fort and the food lasted for 25 days. How many soldiers were transferred?
(a) 100
(b) 200
(c) 800
(d) None of these

16. If x andy varies inversely as each other and x = 8, when y = 32. Find y when x = 16:
(a) 64
(b) 16
(c) 4
(d) None of these

17. If x and y varies inversely as each other and x = 8, when y = 10. Find y when x = 2.
(a) 40
(b) 16
(c) 4
(d) None of these

18. If x and y varies inversely as each other and x = 2, when y = 40. Find y when x = 20.
(a) 40
(b) 16
(c) 4
(d) None of these

19. If x and y varies inversely as each other and x = 8, when y = 10. Find y when x = 5.
(a) 40
(b) 16
(c) 4
(d) None of these

20. If a and b varies inversely as each other and a = 16, when b = 4. Find b when a = 32.
(a) 2
(b) 8
(c) 4
(d) None of these

### Class 8 Maths Direct and Inverse Proportions Very Short Answer Type Questions

1. If the cost of 1 kg of sugar is ₹ 18, then what would be the cost of 3 kg sugar?
2. If the cost of 9 toys is ₹ 333, find the cost of 16 such toys.
3. A car can cover a distance 522 km on 36 litres of petrol. How far can it travel on 14 litres of petrol?
4. If 13 metres of a uniform iron rod weighs 23.4 kg than what will be the weight of 6 metres of the same rod?
5. A train covers a distance of 51 km in 45 minuties. How long will it take to cover 221 km?
6. If 15 oranges cost ₹ 70, what do 39 oranges cost?

### Class 8 Maths Direct and Inverse Proportions Short Answer Type Questions

1. In a students hostel with 32 students, a fixed quantity of food lasts for 45 days. If 16 more students join in, then the food will last for how many days?
2. If 2 : 3 = x : 51. Find x.
3. If A : B = 2 : 3 and B : C = 4 : 5 then. Find A : C.
4. If 628 persons can complete the work in 84 days then in how many days 1256 persons will complete the same work?

### Class 8 Maths Direct and Inverse Proportion Long Answer Type Questions

1. Find the value of x and y if x : y = 2 : 3 and 2 : x = 1 : 2
2. A car is moving at a uniform speed of 45 km/h.
(a) How far will it travel in 5 hours?
(b) Find the distance covered in 40 minutes.
3. If x and y are in inverse proportion. Find the value of a, b and c in the table: 