Free sample activity · Grades 6–8

Ratios Practice

Practice ratios after learners have compared quantities and used multiplication and division. The order of the named quantities matters; each question states what is being compared.

Try the Activity Read questions & explanations

6 questions · No account · No timer · Immediate feedback

Before you begin

How to use this activity

Allow five to ten minutes. Label each quantity before calculating, and use a table or counters to show equivalent ratios.

This is a short knowledge check. For BrainFusion gameplay, explore Quiz Quest or the shared game library.

Try a knowledge check 6 questions · No account needed

Put it into practice

Choose an answer, read the explanation, then move to the next question. Your answers stay in this page and are not saved.

Ratio order

A bag holds 4 red counters and 6 blue counters. What is the ratio of red counters to blue counters?

4:6 6:4 4:10
Answer: A.

Red is named first, so its count comes first. Red to blue is 4:6; 4:10 instead compares red with all ten counters.

Equivalent ratios

Which ratio is equivalent to 3:5?

6:8 6:10 9:10
Answer: B.

Multiply both terms by the same factor: 3 × 2 = 6 and 5 × 2 = 10. Adding the same amount to both terms does not generally preserve a ratio.

Scaling a recipe

A recipe uses 2 cups of oats for every 3 cups of milk. How much milk goes with 6 cups of oats at the same ratio?

7 cups 4 cups 9 cups
Answer: C.

Six cups of oats is three times two cups. Multiply the milk amount by three as well: 3 × 3 = 9 cups.

Unit rate

Five identical notebooks cost $15 in total. What is the cost per notebook?

$3 $5 $10
Answer: A.

Divide the total cost by the number of notebooks: 15 ÷ 5 = 3 dollars per notebook.

Part to whole

A group has 3 adults and 9 children. What is the ratio of adults to all people in the group?

3:9 3:12 9:12
Answer: B.

There are 3 + 9 = 12 people altogether. Adults to the whole group is 3:12, equivalent to 1:4.

Comparing rates

Shop A sells 4 identical pens for $8. Shop B sells 6 of those pens for $9. Which shop has the lower price per pen?

Shop A Both have the same price per pen. Shop B
Answer: C.

Shop A charges 8 ÷ 4 = $2 per pen. Shop B charges 9 ÷ 6 = $1.50 per pen, so Shop B has the lower unit price.

This activity demonstrates questions and feedback. Explore Quiz Quest or the shared game library using the links above to try BrainFusion gameplay.

Keep the reasoning

All questions, answers & explanations

Use this review before or after practice. You can read and print it without JavaScript.

  1. Ratio order

    A bag holds 4 red counters and 6 blue counters. What is the ratio of red counters to blue counters?

    Answer: 4:6

    Red is named first, so its count comes first. Red to blue is 4:6; 4:10 instead compares red with all ten counters.

  2. Equivalent ratios

    Which ratio is equivalent to 3:5?

    Answer: 6:10

    Multiply both terms by the same factor: 3 × 2 = 6 and 5 × 2 = 10. Adding the same amount to both terms does not generally preserve a ratio.

  3. Scaling a recipe

    A recipe uses 2 cups of oats for every 3 cups of milk. How much milk goes with 6 cups of oats at the same ratio?

    Answer: 9 cups

    Six cups of oats is three times two cups. Multiply the milk amount by three as well: 3 × 3 = 9 cups.

  4. Unit rate

    Five identical notebooks cost $15 in total. What is the cost per notebook?

    Answer: $3

    Divide the total cost by the number of notebooks: 15 ÷ 5 = 3 dollars per notebook.

  5. Part to whole

    A group has 3 adults and 9 children. What is the ratio of adults to all people in the group?

    Answer: 3:12

    There are 3 + 9 = 12 people altogether. Adults to the whole group is 3:12, equivalent to 1:4.

  6. Comparing rates

    Shop A sells 4 identical pens for $8. Shop B sells 6 of those pens for $9. Which shop has the lower price per pen?

    Answer: Shop B

    Shop A charges 8 ÷ 4 = $2 per pen. Shop B charges 9 ÷ 6 = $1.50 per pen, so Shop B has the lower unit price.

Take it one step further

Create two different collections with the same red-to-blue ratio. Explain how their red-to-total ratios compare.

Bring your own content

Make the next activity yours.

Create a BrainFusion learning game from a topic, enter your own questions, or import a question set. Review the content, choose a game format, and share it with learners in their browser.

Create a Game FreeGames for middle schools

The free plan includes a five-game limit and three one-time AI generation credits.