Free Grade 3 Ratio Worksheets
Free Grade 3 worksheets 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
Higher
15 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 16:8.[1]
- 2.Simplify the ratio 48:60.[1]
- 3.Simplify the ratio 32:32.[1]
- 4.Simplify the ratio 10:10.[1]
- 5.Share 40 in the ratio 2:2.[2]
- 6.Share 50 in the ratio 5:5.[2]
- 7.Share 90 in the ratio 4:6.[2]
- 8.Share 44 in the ratio 1:3.[2]
- 9.Share 35 in the ratio 2:3.[3]
- 10.Share 80 in the ratio 5:3.[3]
- 11.Share 14 in the ratio 1:1.[3]
- 12.Share 56 in the ratio 2:6.[3]
Show answers and working
1. 2:1
HCF of 16 and 8 is 8. Divide both parts by it: 2:1.
2. 4:5
HCF of 48 and 60 is 12. Divide both parts by it: 4:5.
3. 1:1
HCF of 32 and 32 is 32. Divide both parts by it: 1:1.
4. 1:1
HCF of 10 and 10 is 10. Divide both parts by it: 1:1.
5. 20 and 20
Total parts: 2 + 2 = 4. One part: 40 ÷ 4 = 10. 2 × 10 = 20, 2 × 10 = 20.
6. 25 and 25
Total parts: 5 + 5 = 10. One part: 50 ÷ 10 = 5. 5 × 5 = 25, 5 × 5 = 25.
7. 36 and 54
Total parts: 4 + 6 = 10. One part: 90 ÷ 10 = 9. 4 × 9 = 36, 6 × 9 = 54.
8. 11 and 33
Total parts: 1 + 3 = 4. One part: 44 ÷ 4 = 11. 1 × 11 = 11, 3 × 11 = 33.
9. 14 and 21
Total parts: 2 + 3 = 5. One part: 35 ÷ 5 = 7. 2 × 7 = 14, 3 × 7 = 21.
10. 50 and 30
Total parts: 5 + 3 = 8. One part: 80 ÷ 8 = 10. 5 × 10 = 50, 3 × 10 = 30.
11. 7 and 7
Total parts: 1 + 1 = 2. One part: 14 ÷ 2 = 7. 1 × 7 = 7, 1 × 7 = 7.
12. 14 and 42
Total parts: 2 + 6 = 8. One part: 56 ÷ 8 = 7. 2 × 7 = 14, 6 × 7 = 42.
Worked examples
Simplify the ratio 10:50.
- HCF of 10 and 50 is 10.
- Divide both parts by it: 1:5.
- Answer: 1:5
Share 32 in the ratio 1:3.
- Total parts: 1 + 3 = 4.
- One part: 32 ÷ 4 = 8.
- 1 × 8 = 8, 3 × 8 = 24.
- Answer: 8 and 24
Share 77 in the ratio 1:6.
- Total parts: 1 + 6 = 7.
- One part: 77 ÷ 7 = 11.
- 1 × 11 = 11, 6 × 11 = 66.
- Answer: 11 and 66
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.
Next topics
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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 worksheet really free?
- Yes. Every worksheets 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 worksheet 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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