Free Grade 3 Ratio Quizzes
Free Grade 3 quizzes for Ratio: 12 real questions with a full answer key and worked solutions. A ratio compares parts of a whole. To share in a ratio, add the parts, find one part, then multiply.
Free
Stretch
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify ratio
Identify ratio accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain ratio
Explain ratio accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate ratio
Calculate ratio accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare ratio
Compare ratio accurately in a familiar context.
Assessed by: Exit ticket of four short items
Prerequisites
Close these gaps first — each has its own free lesson, worksheet and quiz.
How Ratio works
A ratio compares parts of a whole. To share in a ratio, add the parts, find one part, then multiply.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.Simplify the ratio 8:16.[1]
- 2.Simplify the ratio 24:24.[1]
- 3.Simplify the ratio 40:8.[1]
- 4.Simplify the ratio 48:12.[1]
- 5.Share 21 in the ratio 2:1.[2]
- 6.Share 12 in the ratio 1:1.[2]
- 7.Share 81 in the ratio 4:5.[2]
- 8.Share 30 in the ratio 5:5.[2]
- 9.Share 110 in the ratio 4:7.[3]
- 10.Share 108 in the ratio 3:6.[3]
- 11.Share 48 in the ratio 2:4.[3]
- 12.Share 60 in the ratio 2:3.[3]
Show answers and working
1. 1:2
HCF of 8 and 16 is 8. Divide both parts by it: 1:2.
2. 1:1
HCF of 24 and 24 is 24. Divide both parts by it: 1:1.
3. 5:1
HCF of 40 and 8 is 8. Divide both parts by it: 5:1.
4. 4:1
HCF of 48 and 12 is 12. Divide both parts by it: 4:1.
5. 14 and 7
Total parts: 2 + 1 = 3. One part: 21 ÷ 3 = 7. 2 × 7 = 14, 1 × 7 = 7.
6. 6 and 6
Total parts: 1 + 1 = 2. One part: 12 ÷ 2 = 6. 1 × 6 = 6, 1 × 6 = 6.
7. 36 and 45
Total parts: 4 + 5 = 9. One part: 81 ÷ 9 = 9. 4 × 9 = 36, 5 × 9 = 45.
8. 15 and 15
Total parts: 5 + 5 = 10. One part: 30 ÷ 10 = 3. 5 × 3 = 15, 5 × 3 = 15.
9. 40 and 70
Total parts: 4 + 7 = 11. One part: 110 ÷ 11 = 10. 4 × 10 = 40, 7 × 10 = 70.
10. 36 and 72
Total parts: 3 + 6 = 9. One part: 108 ÷ 9 = 12. 3 × 12 = 36, 6 × 12 = 72.
11. 16 and 32
Total parts: 2 + 4 = 6. One part: 48 ÷ 6 = 8. 2 × 8 = 16, 4 × 8 = 32.
12. 24 and 36
Total parts: 2 + 3 = 5. One part: 60 ÷ 5 = 12. 2 × 12 = 24, 3 × 12 = 36.
Worked examples
Simplify the ratio 18:24.
- HCF of 18 and 24 is 6.
- Divide both parts by it: 3:4.
- Answer: 3:4
Share 15 in the ratio 4:1.
- Total parts: 4 + 1 = 5.
- One part: 15 ÷ 5 = 3.
- 4 × 3 = 12, 1 × 3 = 3.
- Answer: 12 and 3
Share 72 in the ratio 5:3.
- Total parts: 5 + 3 = 8.
- One part: 72 ÷ 8 = 9.
- 5 × 9 = 45, 3 × 9 = 27.
- Answer: 45 and 27
Interactive practice
Free, no account required — answer on screen or print it.
Common mistakes
What learners typically get wrong, and how to fix it.
Divides the total by the ratio numbers directly.
Correction: Add the parts first to find what one part is worth.
Writes the ratio in the wrong order.
Correction: Keep the order the question uses.
Teacher tips
- · Use bar models with equal-sized boxes for each part.
Parent tips
- · Make squash in a 1:4 ratio.
Real-life applications
- · Mixing paint or squash, scaling recipes.
Assessment objectives
How mastery is evidenced, and which standards it maps to.
Every free resource for Ratio
One concept, one ecosystem — all of it free.
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The entities below this one, each with the same complete free resource set.
Sibling concepts
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Lateral links, including across subjects.
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Learn — Meet the idea.
Practice — Build fluency.
Revise — Keep it in memory.
Assess — Prove mastery.
Apply — Use it in context.
Teach — Deliver it to a class.
Frequently asked
- Is this Grade 3 Ratio quiz really free?
- Yes. Every quizzes on FreeMathWorksheet is free to use, print and share — no account, no paywall and no watermark.
- What should a learner already know before this?
- Start with Complex Numbers, Real Numbers. Each one has its own free lesson, worksheet and quiz.
- How is the quiz sequenced?
- Recognition first, then understanding, application, reasoning and finally mastery — the same ladder used across every free resource on the platform.
- What comes next after Ratio?
- Move on to Proportion, Factors and Multiples, Powers and Roots, Algebra, which build directly on this idea.
Related resources
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