Free Grade 3 Simplifying Ratios Lesson Plans
Free Grade 3 lesson plans for Simplifying 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
Core
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain simplifying ratios
Explain simplifying ratios accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate simplifying ratios
Calculate simplifying ratios accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare simplifying ratios
Compare simplifying ratios accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify simplifying ratios
Justify simplifying 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 Simplifying 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 24:36.[1]
- 2.Simplify the ratio 30:24.[1]
- 3.Simplify the ratio 16:8.[1]
- 4.Simplify the ratio 30:20.[1]
- 5.Share 18 in the ratio 5:4.[2]
- 6.Share 21 in the ratio 1:2.[2]
- 7.Share 20 in the ratio 2:3.[2]
- 8.Share 54 in the ratio 5:1.[2]
- 9.Share 90 in the ratio 3:7.[3]
- 10.Share 28 in the ratio 5:2.[3]
- 11.Share 84 in the ratio 3:4.[3]
- 12.Share 56 in the ratio 3:4.[3]
Show answers and working
1. 2:3
HCF of 24 and 36 is 12. Divide both parts by it: 2:3.
2. 5:4
HCF of 30 and 24 is 6. Divide both parts by it: 5:4.
3. 2:1
HCF of 16 and 8 is 8. Divide both parts by it: 2:1.
4. 3:2
HCF of 30 and 20 is 10. Divide both parts by it: 3:2.
5. 10 and 8
Total parts: 5 + 4 = 9. One part: 18 ÷ 9 = 2. 5 × 2 = 10, 4 × 2 = 8.
6. 7 and 14
Total parts: 1 + 2 = 3. One part: 21 ÷ 3 = 7. 1 × 7 = 7, 2 × 7 = 14.
7. 8 and 12
Total parts: 2 + 3 = 5. One part: 20 ÷ 5 = 4. 2 × 4 = 8, 3 × 4 = 12.
8. 45 and 9
Total parts: 5 + 1 = 6. One part: 54 ÷ 6 = 9. 5 × 9 = 45, 1 × 9 = 9.
9. 27 and 63
Total parts: 3 + 7 = 10. One part: 90 ÷ 10 = 9. 3 × 9 = 27, 7 × 9 = 63.
10. 20 and 8
Total parts: 5 + 2 = 7. One part: 28 ÷ 7 = 4. 5 × 4 = 20, 2 × 4 = 8.
11. 36 and 48
Total parts: 3 + 4 = 7. One part: 84 ÷ 7 = 12. 3 × 12 = 36, 4 × 12 = 48.
12. 24 and 32
Total parts: 3 + 4 = 7. One part: 56 ÷ 7 = 8. 3 × 8 = 24, 4 × 8 = 32.
Worked examples
Simplify the ratio 32:32.
- HCF of 32 and 32 is 32.
- Divide both parts by it: 1:1.
- Answer: 1:1
Share 60 in the ratio 2:3.
- Total parts: 2 + 3 = 5.
- One part: 60 ÷ 5 = 12.
- 2 × 12 = 24, 3 × 12 = 36.
- Answer: 24 and 36
Share 50 in the ratio 5:5.
- Total parts: 5 + 5 = 10.
- One part: 50 ÷ 10 = 5.
- 5 × 5 = 25, 5 × 5 = 25.
- Answer: 25 and 25
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 Simplifying Ratios
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Learn — Meet the idea.
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Frequently asked
- Is this Grade 3 Simplifying 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 Writing Ratios, 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 Simplifying Ratios?
- Move on to Sharing in a Ratio, Ratio Word Problems, Whole Numbers, Counting, which build directly on this idea.
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