Practice Ratios in Math

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

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Quick Recap

A ratio compares two or more quantities by showing how many times one contains the other, written as a:b or ab. Unlike fractions, ratios can compare parts to parts, not just parts to wholes.

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

Showing a random 20 of 50 problems.

Example 1

medium
A map has scale 1:50,000. If two cities are 4 cm apart on the map, what is the real distance in km?

Example 2

medium
Simplify the ratio 0.4:1.6.

Example 3

easy
Express the ratio 1:4 as a fraction.

Example 4

easy
Simplify the ratio 36:48.

Example 5

hard
A worker can complete a job in 6 days. At the same rate, how many days does it take 3 workers to complete 4 such jobs?

Example 6

easy
If the ratio of red to blue marbles is 4:7, and there are 20 red marbles, how many blue?

Example 7

hard
At a concert the ratio of adults to children is 5:2. There are 84 more adults than children. How many children are there?

Example 8

easy
If 4 pencils cost $3, what is the unit price per pencil?

Example 9

medium
In a class of 48 students, the ratio of girls to boys is 5:7. How many girls are there?

Example 10

medium
If a 5-kg bag of rice costs $8, how much does 12 kg cost?

Example 11

challenge
Three numbers are in the ratio 2:3:5. Their sum is 60. Find the largest.

Example 12

easy
A class has 15 boys and 10 girls. What is the ratio of boys to girls in simplest form?

Example 13

medium
If a:b=2:3 and b:c=4:5, find a:b:c.

Example 14

medium
The ratio of cats to dogs in a shelter is 7:5. If there are 48 animals total, how many cats?

Example 15

medium
Two numbers are in the ratio 3:7 and their sum is 50. Find the two numbers.

Example 16

medium
A class is 25 boys. If there are 20 boys, how many students total?

Example 17

easy
If 3 apples cost $2, how much do 9 apples cost?

Example 18

challenge
Salt water is 20% salt by weight. How much water do I add to 50 kg of brine to make it 10% salt?

Example 19

hard
A and B share $540 in the ratio 4:5. Then A gives $x to B so the new ratio is 1:2. Find x.

Example 20

medium
Three numbers are in ratio 2:3:5 and their sum is 80. Find each number.
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