Free Grade 3 Writing Ratios Lessons
Free Grade 3 lessons for Writing Ratios: 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
Foundation
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify writing ratios
Identify writing ratios accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain writing ratios
Explain writing ratios accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate writing ratios
Calculate writing ratios accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare writing ratios
Compare writing ratios 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 Writing Ratios 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 20:8.[1]
- 2.Simplify the ratio 4:8.[1]
- 3.Simplify the ratio 36:36.[1]
- 4.Simplify the ratio 40:32.[1]
- 5.Share 25 in the ratio 2:3.[2]
- 6.Share 36 in the ratio 1:5.[2]
- 7.Share 18 in the ratio 1:1.[2]
- 8.Share 50 in the ratio 4:6.[2]
- 9.Share 42 in the ratio 5:1.[3]
- 10.Share 30 in the ratio 1:4.[3]
- 11.Share 24 in the ratio 2:6.[3]
- 12.Share 49 in the ratio 4:3.[3]
Show answers and working
1. 5:2
HCF of 20 and 8 is 4. Divide both parts by it: 5:2.
2. 1:2
HCF of 4 and 8 is 4. Divide both parts by it: 1:2.
3. 1:1
HCF of 36 and 36 is 36. Divide both parts by it: 1:1.
4. 5:4
HCF of 40 and 32 is 8. Divide both parts by it: 5:4.
5. 10 and 15
Total parts: 2 + 3 = 5. One part: 25 ÷ 5 = 5. 2 × 5 = 10, 3 × 5 = 15.
6. 6 and 30
Total parts: 1 + 5 = 6. One part: 36 ÷ 6 = 6. 1 × 6 = 6, 5 × 6 = 30.
7. 9 and 9
Total parts: 1 + 1 = 2. One part: 18 ÷ 2 = 9. 1 × 9 = 9, 1 × 9 = 9.
8. 20 and 30
Total parts: 4 + 6 = 10. One part: 50 ÷ 10 = 5. 4 × 5 = 20, 6 × 5 = 30.
9. 35 and 7
Total parts: 5 + 1 = 6. One part: 42 ÷ 6 = 7. 5 × 7 = 35, 1 × 7 = 7.
10. 6 and 24
Total parts: 1 + 4 = 5. One part: 30 ÷ 5 = 6. 1 × 6 = 6, 4 × 6 = 24.
11. 6 and 18
Total parts: 2 + 6 = 8. One part: 24 ÷ 8 = 3. 2 × 3 = 6, 6 × 3 = 18.
12. 28 and 21
Total parts: 4 + 3 = 7. One part: 49 ÷ 7 = 7. 4 × 7 = 28, 3 × 7 = 21.
Worked examples
Simplify the ratio 20:30.
- HCF of 20 and 30 is 10.
- Divide both parts by it: 2:3.
- Answer: 2:3
Share 64 in the ratio 5:3.
- Total parts: 5 + 3 = 8.
- One part: 64 ÷ 8 = 8.
- 5 × 8 = 40, 3 × 8 = 24.
- Answer: 40 and 24
Share 50 in the ratio 3:7.
- Total parts: 3 + 7 = 10.
- One part: 50 ÷ 10 = 5.
- 3 × 5 = 15, 7 × 5 = 35.
- Answer: 15 and 35
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 Writing Ratios
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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 Writing Ratios 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. 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 Writing Ratios?
- Move on to Simplifying Ratios, Sharing in a Ratio, Ratio Word Problems, Whole Numbers, which build directly on this idea.
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