Free Grade 3 Ratio Lesson Plans
Free Grade 3 lesson plans 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 50:40.[1]
- 2.Simplify the ratio 16:16.[1]
- 3.Simplify the ratio 8:24.[1]
- 4.Simplify the ratio 8:8.[1]
- 5.Share 16 in the ratio 4:4.[2]
- 6.Share 100 in the ratio 5:5.[2]
- 7.Share 28 in the ratio 3:1.[2]
- 8.Share 18 in the ratio 4:5.[2]
- 9.Share 8 in the ratio 3:1.[3]
- 10.Share 42 in the ratio 4:2.[3]
- 11.Share 40 in the ratio 2:6.[3]
- 12.Share 49 in the ratio 1:6.[3]
Show answers and working
1. 5:4
HCF of 50 and 40 is 10. Divide both parts by it: 5:4.
2. 1:1
HCF of 16 and 16 is 16. Divide both parts by it: 1:1.
3. 1:3
HCF of 8 and 24 is 8. Divide both parts by it: 1:3.
4. 1:1
HCF of 8 and 8 is 8. Divide both parts by it: 1:1.
5. 8 and 8
Total parts: 4 + 4 = 8. One part: 16 ÷ 8 = 2. 4 × 2 = 8, 4 × 2 = 8.
6. 50 and 50
Total parts: 5 + 5 = 10. One part: 100 ÷ 10 = 10. 5 × 10 = 50, 5 × 10 = 50.
7. 21 and 7
Total parts: 3 + 1 = 4. One part: 28 ÷ 4 = 7. 3 × 7 = 21, 1 × 7 = 7.
8. 8 and 10
Total parts: 4 + 5 = 9. One part: 18 ÷ 9 = 2. 4 × 2 = 8, 5 × 2 = 10.
9. 6 and 2
Total parts: 3 + 1 = 4. One part: 8 ÷ 4 = 2. 3 × 2 = 6, 1 × 2 = 2.
10. 28 and 14
Total parts: 4 + 2 = 6. One part: 42 ÷ 6 = 7. 4 × 7 = 28, 2 × 7 = 14.
11. 10 and 30
Total parts: 2 + 6 = 8. One part: 40 ÷ 8 = 5. 2 × 5 = 10, 6 × 5 = 30.
12. 7 and 42
Total parts: 1 + 6 = 7. One part: 49 ÷ 7 = 7. 1 × 7 = 7, 6 × 7 = 42.
Worked examples
Simplify the ratio 48:60.
- HCF of 48 and 60 is 12.
- Divide both parts by it: 4:5.
- Answer: 4:5
Share 45 in the ratio 4:5.
- Total parts: 4 + 5 = 9.
- One part: 45 ÷ 9 = 5.
- 4 × 5 = 20, 5 × 5 = 25.
- Answer: 20 and 25
Share 32 in the ratio 5:3.
- Total parts: 5 + 3 = 8.
- One part: 32 ÷ 8 = 4.
- 5 × 4 = 20, 3 × 4 = 12.
- Answer: 20 and 12
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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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 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, Real 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 Ratio?
- Move on to Proportion, Factors and Multiples, Powers and Roots, Algebra, which build directly on this idea.
Related resources
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