Free Grade 3 Ratio Lessons
Free Grade 3 lessons 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
35 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 12:4.[1]
- 2.Simplify the ratio 20:30.[1]
- 3.Simplify the ratio 10:20.[1]
- 4.Simplify the ratio 16:20.[1]
- 5.Share 24 in the ratio 1:3.[2]
- 6.Share 72 in the ratio 3:6.[2]
- 7.Share 120 in the ratio 4:6.[2]
- 8.Share 72 in the ratio 1:5.[2]
- 9.Share 24 in the ratio 1:2.[3]
- 10.Share 56 in the ratio 1:7.[3]
- 11.Share 80 in the ratio 1:7.[3]
- 12.Share 72 in the ratio 5:3.[3]
Show answers and working
1. 3:1
HCF of 12 and 4 is 4. Divide both parts by it: 3:1.
2. 2:3
HCF of 20 and 30 is 10. Divide both parts by it: 2:3.
3. 1:2
HCF of 10 and 20 is 10. Divide both parts by it: 1:2.
4. 4:5
HCF of 16 and 20 is 4. Divide both parts by it: 4:5.
5. 6 and 18
Total parts: 1 + 3 = 4. One part: 24 ÷ 4 = 6. 1 × 6 = 6, 3 × 6 = 18.
6. 24 and 48
Total parts: 3 + 6 = 9. One part: 72 ÷ 9 = 8. 3 × 8 = 24, 6 × 8 = 48.
7. 48 and 72
Total parts: 4 + 6 = 10. One part: 120 ÷ 10 = 12. 4 × 12 = 48, 6 × 12 = 72.
8. 12 and 60
Total parts: 1 + 5 = 6. One part: 72 ÷ 6 = 12. 1 × 12 = 12, 5 × 12 = 60.
9. 8 and 16
Total parts: 1 + 2 = 3. One part: 24 ÷ 3 = 8. 1 × 8 = 8, 2 × 8 = 16.
10. 7 and 49
Total parts: 1 + 7 = 8. One part: 56 ÷ 8 = 7. 1 × 7 = 7, 7 × 7 = 49.
11. 10 and 70
Total parts: 1 + 7 = 8. One part: 80 ÷ 8 = 10. 1 × 10 = 10, 7 × 10 = 70.
12. 45 and 27
Total parts: 5 + 3 = 8. One part: 72 ÷ 8 = 9. 5 × 9 = 45, 3 × 9 = 27.
Worked examples
Simplify the ratio 40:40.
- HCF of 40 and 40 is 40.
- Divide both parts by it: 1:1.
- Answer: 1:1
Share 18 in the ratio 4:5.
- Total parts: 4 + 5 = 9.
- One part: 18 ÷ 9 = 2.
- 4 × 2 = 8, 5 × 2 = 10.
- Answer: 8 and 10
Share 60 in the ratio 2:4.
- Total parts: 2 + 4 = 6.
- One part: 60 ÷ 6 = 10.
- 2 × 10 = 20, 4 × 10 = 40.
- Answer: 20 and 40
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
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The entities below this one, each with the same complete free resource set.
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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 lesson really free?
- Yes. Every lessons 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 lesson 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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