Proportion - Practice 2

In this course, we will go through a series of carefully curated questions on direct and inverse proportion. The questions are selected to cover the most commonly tested concepts and problem types in examinations.

Practice 2 - Question 1

The amount of paint needed to cover the walls of a house is proportional to the square of the length of the wall. When the length is 6m, the amount of paint needed is 300 ml.

Calculate the length of the wall when the amount of paint needed is 147ml.

Practice 2 - Question 2

It is given that \(y\) is inversely proportional to \(x^2\) and that \(y=5\) when \(x=2\).
Express \(y\) in terms of \(x\).

Practice 2 - Question 3

The volume, \(V\ ml\) of a can of soup is directly proportional to the square of the radius, r cm, of the circular base of the can.
If a larger can of soup is to be produced such that the volume increases by 125%, what is the percentage increase in the radius?

Practice 2 - Question 4

p is proportional to \(q^2\). It is known that \(p=6\) for a particular value of \(q\).
Find the value of \(p\) when this value of \(q\) is doubled.

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