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.