Free Grade 3 Working with Simplifying Ratios Lesson Plans
Free Grade 3 lesson plans for Working with 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 working with simplifying ratios
Explain working with simplifying ratios accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with simplifying ratios
Calculate working with simplifying ratios accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with simplifying ratios
Compare working with simplifying ratios accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with simplifying ratios
Justify working with 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 Working with 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 16:4.[1]
- 2.Simplify the ratio 24:12.[1]
- 3.Simplify the ratio 30:30.[1]
- 4.Simplify the ratio 48:36.[1]
- 5.Share 18 in the ratio 4:2.[2]
- 6.Share 60 in the ratio 5:5.[2]
- 7.Share 21 in the ratio 3:4.[2]
- 8.Share 36 in the ratio 5:1.[2]
- 9.Share 81 in the ratio 5:4.[3]
- 10.Share 36 in the ratio 3:3.[3]
- 11.Share 80 in the ratio 4:4.[3]
- 12.Share 42 in the ratio 5:2.[3]
Show answers and working
1. 4:1
HCF of 16 and 4 is 4. Divide both parts by it: 4:1.
2. 2:1
HCF of 24 and 12 is 12. Divide both parts by it: 2:1.
3. 1:1
HCF of 30 and 30 is 30. Divide both parts by it: 1:1.
4. 4:3
HCF of 48 and 36 is 12. Divide both parts by it: 4:3.
5. 12 and 6
Total parts: 4 + 2 = 6. One part: 18 ÷ 6 = 3. 4 × 3 = 12, 2 × 3 = 6.
6. 30 and 30
Total parts: 5 + 5 = 10. One part: 60 ÷ 10 = 6. 5 × 6 = 30, 5 × 6 = 30.
7. 9 and 12
Total parts: 3 + 4 = 7. One part: 21 ÷ 7 = 3. 3 × 3 = 9, 4 × 3 = 12.
8. 30 and 6
Total parts: 5 + 1 = 6. One part: 36 ÷ 6 = 6. 5 × 6 = 30, 1 × 6 = 6.
9. 45 and 36
Total parts: 5 + 4 = 9. One part: 81 ÷ 9 = 9. 5 × 9 = 45, 4 × 9 = 36.
10. 18 and 18
Total parts: 3 + 3 = 6. One part: 36 ÷ 6 = 6. 3 × 6 = 18, 3 × 6 = 18.
11. 40 and 40
Total parts: 4 + 4 = 8. One part: 80 ÷ 8 = 10. 4 × 10 = 40, 4 × 10 = 40.
12. 30 and 12
Total parts: 5 + 2 = 7. One part: 42 ÷ 7 = 6. 5 × 6 = 30, 2 × 6 = 12.
Worked examples
Simplify the ratio 20:12.
- HCF of 20 and 12 is 4.
- Divide both parts by it: 5:3.
- Answer: 5:3
Share 35 in the ratio 1:6.
- Total parts: 1 + 6 = 7.
- One part: 35 ÷ 7 = 5.
- 1 × 5 = 5, 6 × 5 = 30.
- Answer: 5 and 30
Share 54 in the ratio 4:5.
- Total parts: 4 + 5 = 9.
- One part: 54 ÷ 9 = 6.
- 4 × 6 = 24, 5 × 6 = 30.
- Answer: 24 and 30
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.
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Frequently asked
- Is this Grade 3 Working with 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 Introducing Simplifying Ratios, Writing Ratios. 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 Working with Simplifying Ratios?
- Move on to Simplifying Ratios in Context, Writing Ratios, Sharing in a Ratio, Ratio Word Problems, which build directly on this idea.
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