Practice Ratios in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

A comparison of two quantities that shows their relative sizes, written as a:b or \frac{a}{b}.

A recipe that uses 2 cups flour for every 1 cup sugar has a 2:1 ratio.

Example 1

easy
A recipe calls for 3 cups of flour and 2 cups of sugar. What is the ratio of flour to sugar, and how much sugar is needed for 12 cups of flour?

Example 2

medium
The ratio of boys to girls in a class is 5 : 3. If there are 40 students total, how many boys and how many girls are there?

Example 3

easy
Simplify the ratio 18 : 24.

Example 4

hard
A map uses the scale 1 : 50{,}000. Two towns are 3.5 cm apart on the map. What is the actual distance in kilometres?

Example 5

medium
A recipe uses flour and sugar in a 5:2 ratio. If you use 15 cups of flour, how much sugar do you need?