Proportion

Proportion

Types of Proportion

​Direct Proportion

In this proportion, two quantities are usually given. These quantities increase or decrease at the same rate. Hence, they are said to be directly proportional.

Multiple Choice

20kg of sugar cost ₦600.00, what will be the cost of 12kg of sugar?

• ₦360.00
• ₦600.00
• ₦480.00
• ₦240.00

Multiple Choice

If $15.00 can buy 5 pineapples, how many can $6.00 buy?

• 2 pineapples
• 4 pineapples
• 3 pineapples
• 1 pineapple

Multiple Choice

A motorcycle travels 250km on 5 litres of petrol. How much petrol will he need to travel a distance of 400km?

• 12 litres
• 5 litres
• 10 litres
• 8 litres

Indirect (Inverse) Proportion

​Indirect Proportion

This is also known as inverse proportion. It is the opposite of direct proportion. Therefore, as one quantity is increasing, the other is decreasing in the same proportion. It is usually concerning working or consuming food. For example, when the people are more they will take less time to finish the job or the food.

Multiple Choice

8 boys can finish a bag of rice in 14 days. How long will it take 7 boys to finish the same quantity if they eat at the same rate?

• 18 days
• 16 days
• 20 days
• 14 days

Multiple Choice

If 3 men can finish a piece of work in 10 days, how long will it take 5 men to complete the same job at the same rate?

• 8 days
• 12 days
• 4 days
• 6 days

Multiple Choice

It took 4 men to dig a trench in 6 days, how long will it take 3 men to finish the job working at the same rate?

• 8 days
• 12 days
• 5 days
• 10 days

Multiple Choice

Two taps running at the same rate can fill a tank in 45 minutes. How long will it it take one tap to fill the same tank?

• 90 minutes
• 30 minutes
• 60 minutes
• 120 minutes