Arithmetic quiz

Ratios and Percentages Quiz

Practice ratios and percentages with unique questions about equivalent ratios, proportions, percent of a number, discounts, increases, unit rates, and word problems. Use hints when needed, choose an answer, and review the explanation after each question.

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1 Question 1 of 10

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Simplify the ratio 12:18.

Hint: Divide both numbers in the ratio by their greatest common factor.

Explanation: The greatest common factor of 12 and 18 is 6. Divide both numbers by 6: 12:18 = 2:3.

2 Question 2 of 10

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Which ratio is equivalent to 4:7?

Hint: Equivalent ratios are made by multiplying both parts by the same number.

Explanation: Multiply both parts of 4:7 by 2: 4 × 2 = 8 and 7 × 2 = 14. So 8:14 is equivalent to 4:7.

3 Question 3 of 10

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A recipe uses 3 cups of flour for 12 muffins. How many cups of flour are needed for 24 muffins?

Hint: 24 muffins is twice as many as 12 muffins.

Explanation: Since 24 is 2 times 12, multiply the flour by 2: 3 × 2 = 6 cups.

4 Question 4 of 10

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What is 20% of 150?

Hint: 20% means one fifth of the number.

Explanation: 20% of 150 is 150 ÷ 5 = 30.

5 Question 5 of 10

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A shirt costs $40 and is discounted by 25%. What is the discount amount?

Hint: 25% means one quarter.

Explanation: 25% of $40 is one quarter of 40. 40 ÷ 4 = 10, so the discount amount is $10.

6 Question 6 of 10

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A price increases from $80 to $100. What is the percent increase?

Hint: Find the increase first, then divide by the original price.

Explanation: The increase is 100 - 80 = 20. Divide by the original price: 20 ÷ 80 = 0.25 = 25%.

7 Question 7 of 10

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There are 15 girls and 10 boys in a club. What is the ratio of girls to boys in simplest form?

Hint: Write girls:boys, then simplify 15:10.

Explanation: The ratio of girls to boys is 15:10. Divide both numbers by 5: 15:10 = 3:2.

8 Question 8 of 10

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If 6 notebooks cost $18, what is the cost per notebook?

Hint: Divide the total cost by the number of notebooks.

Explanation: $18 ÷ 6 = $3. The cost per notebook is $3.

9 Question 9 of 10

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What percent is 18 out of 60?

Hint: Use part divided by whole, then multiply by 100.

Explanation: 18 ÷ 60 = 0.3. Convert to a percent: 0.3 × 100 = 30%.

10 Question 10 of 10

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A map scale is 1 inch : 5 miles. If two towns are 4 inches apart on the map, how far apart are they in real life?

Hint: Each inch represents 5 miles.

Explanation: If 1 inch represents 5 miles, then 4 inches represents 4 × 5 = 20 miles.

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About this math quiz

This carousel quiz template shows one question at a time. Students can move back and forward, request a hint, answer the question, and then review the explanation.

You can reuse this file for Algebra, Geometry, Arithmetic, Fractions, Statistics, and Hard Math pages by changing the PHP array with questions at the top of the file.