## ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 9 Direct and Inverse Variation Ex 9.1

Question 1.

Observe the following tables and find if x and y are directly proportional:

(i)

(ii)

Solution:

Question 2.

If x and y are in direct variation, complete the following tables:

(i)

(ii)

Solution:

Question 3.

If 8 metres cloth costs ₹250, find the cost of 5·8 metres of the same cloth.

Solution:

Question 4.

If a labourer earns ₹672 per week, how much will he earn in 18 days?

Solution:

Question 5.

If 175 dollars cost ₹7350, how many dollars can be purchased in ₹24024?

Solution:

Question 6.

If a car travels 67·5 km in 4·5 litres of petrol, how many kilometres will it travel in 26-4 litres of petrol?

Solution:

Question 7.

If the thickness of a pile of 12 cardboard sheets is 45 mm, then how many sheets of the same cardboard would be 90 cm thick?

Solution:

Question 8.

In a model of a ship, the mast (flagstaff) is 6 cm high, while the mast of the actual ship is 9 m high. If the length of the ship is 33 m, how long is the model of the ship?

Solution:

Question 9.

The mass of an aluminium rod varies directly with its length. If a 16 cm long rod has a mass of 192 g, find the length of the rod whose mass is 105 g.

Solution:

Question 10.

Anita has to drive from village A to village B. She measures a distance of 3.5 cm between these villages on the map. What is the actual distance between the villages if the map scale is 1 cm = 20 km?

Solution:

Question 11.

A 23 m 75 cm high water tank casts a shadow 20 m long. Find at the same time;

(i) the length of the shadow cast by a tree 9 m 50 cm high.

(ii) the height of the tree if the length of the shadow is 12 m.

Solution:

Question 12.

If 5 men or 7 women can earn ₹525 per day, how much would 10 men and 13 women will earn per day.

Solution: