Free Grade 3 Writing Ratios Lesson Plans
Free Grade 3 lesson plans 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
30 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 12:36.[1]
- 2.Simplify the ratio 30:40.[1]
- 3.Simplify the ratio 24:18.[1]
- 4.Simplify the ratio 24:12.[1]
- 5.Share 32 in the ratio 2:6.[2]
- 6.Share 30 in the ratio 2:1.[2]
- 7.Share 96 in the ratio 3:5.[2]
- 8.Share 33 in the ratio 5:6.[2]
- 9.Share 56 in the ratio 2:6.[3]
- 10.Share 54 in the ratio 4:2.[3]
- 11.Share 15 in the ratio 3:2.[3]
- 12.Share 22 in the ratio 1:1.[3]
Show answers and working
1. 1:3
HCF of 12 and 36 is 12. Divide both parts by it: 1:3.
2. 3:4
HCF of 30 and 40 is 10. Divide both parts by it: 3:4.
3. 4:3
HCF of 24 and 18 is 6. Divide both parts by it: 4:3.
4. 2:1
HCF of 24 and 12 is 12. Divide both parts by it: 2:1.
5. 8 and 24
Total parts: 2 + 6 = 8. One part: 32 ÷ 8 = 4. 2 × 4 = 8, 6 × 4 = 24.
6. 20 and 10
Total parts: 2 + 1 = 3. One part: 30 ÷ 3 = 10. 2 × 10 = 20, 1 × 10 = 10.
7. 36 and 60
Total parts: 3 + 5 = 8. One part: 96 ÷ 8 = 12. 3 × 12 = 36, 5 × 12 = 60.
8. 15 and 18
Total parts: 5 + 6 = 11. One part: 33 ÷ 11 = 3. 5 × 3 = 15, 6 × 3 = 18.
9. 14 and 42
Total parts: 2 + 6 = 8. One part: 56 ÷ 8 = 7. 2 × 7 = 14, 6 × 7 = 42.
10. 36 and 18
Total parts: 4 + 2 = 6. One part: 54 ÷ 6 = 9. 4 × 9 = 36, 2 × 9 = 18.
11. 9 and 6
Total parts: 3 + 2 = 5. One part: 15 ÷ 5 = 3. 3 × 3 = 9, 2 × 3 = 6.
12. 11 and 11
Total parts: 1 + 1 = 2. One part: 22 ÷ 2 = 11. 1 × 11 = 11, 1 × 11 = 11.
Worked examples
Simplify the ratio 36:36.
- HCF of 36 and 36 is 36.
- Divide both parts by it: 1:1.
- Answer: 1:1
Share 35 in the ratio 3:4.
- Total parts: 3 + 4 = 7.
- One part: 35 ÷ 7 = 5.
- 3 × 5 = 15, 4 × 5 = 20.
- Answer: 15 and 20
Share 99 in the ratio 4:5.
- Total parts: 4 + 5 = 9.
- One part: 99 ÷ 9 = 11.
- 4 × 11 = 44, 5 × 11 = 55.
- Answer: 44 and 55
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.
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Assess — Prove mastery.
Apply — Use it in context.
Teach — Deliver it to a class.
Frequently asked
- Is this Grade 3 Writing Ratios lesson plan really free?
- Yes. Every lesson plans 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 plan 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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