Ratio and Proportion are used for comparison in mathematics. Ratio is a comparison of two quantities while Proportion is a comparison of two ratios.
A ratio is a comparison of two quantities that have the same units. You can express a ratio in any one of the following ways – 20/3 20:3 or 20 to 3
A proportion is a statement that two ratios or rates are equal. It can be given as a sentence in words, but most often a proportion is an algebraic equation.
These practice questions below will test your conceptual understanding in Ratios & Proportions.
Question 1:
Express the below ratios in its simplest form.
- 25 litres to 0.5 litres
- 168 : 200
- 5.6 m to 6 km
Question 2:
In the ratio 4 : 5, the consequent is 20. Find the antecedent.
Question 3:
6.5 litres : 13 litres = X : 10 kg ; Find X.
Question 4:
Find the fourth proportional for the below.
- 5.6, 2.1, 1.6, x
- 5³/₅, 3¹/₂, 2, x
Question 5:
Find the third proportional for the below
- 4, 12, x
- 0.2, 0.4, x
Question 6:
A mallard duck has 16 ducklings. Four of the ducklings are male. What is the ratio of male to female ducklings?
Question 7:
You earn $32 in 5 hours. At that rate, how much would you earn in 8 hours?
Question 8:
The below two figures are similar. Use proportions to find the side ‘n’.
Question 9:
Find the mean proportional between
- 9 and 4
- 1⁴/₅ and ⁴/₅
Question 10:
Bobby paid $8.00 for 20 pounds of oranges. What is the ratio of the price of oranges to the pound of oranges?
Hope these questions help as a useful practice for the fundamental concepts of Ratios and Proportions, thank you.
You may like to read: Percentages Worksheet, Vedic Math Tricks, and Kangaroo Math for Kids.
