Free Grade 3 Introducing Writing Ratios Lessons
Free Grade 3 lessons for Introducing 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
Stretch
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain introducing writing ratios
Explain introducing writing ratios accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing writing ratios
Calculate introducing writing ratios accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing writing ratios
Compare introducing writing ratios accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introducing writing ratios
Justify introducing 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 Introducing 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 36:36.[1]
- 2.Simplify the ratio 50:30.[1]
- 3.Simplify the ratio 40:30.[1]
- 4.Simplify the ratio 24:18.[1]
- 5.Share 44 in the ratio 3:1.[2]
- 6.Share 72 in the ratio 3:5.[2]
- 7.Share 100 in the ratio 5:5.[2]
- 8.Share 48 in the ratio 4:2.[2]
- 9.Share 56 in the ratio 4:3.[3]
- 10.Share 36 in the ratio 2:2.[3]
- 11.Share 28 in the ratio 3:1.[3]
- 12.Share 132 in the ratio 4:7.[3]
Show answers and working
1. 1:1
HCF of 36 and 36 is 36. Divide both parts by it: 1:1.
2. 5:3
HCF of 50 and 30 is 10. Divide both parts by it: 5:3.
3. 4:3
HCF of 40 and 30 is 10. Divide both parts by it: 4:3.
4. 4:3
HCF of 24 and 18 is 6. Divide both parts by it: 4:3.
5. 33 and 11
Total parts: 3 + 1 = 4. One part: 44 ÷ 4 = 11. 3 × 11 = 33, 1 × 11 = 11.
6. 27 and 45
Total parts: 3 + 5 = 8. One part: 72 ÷ 8 = 9. 3 × 9 = 27, 5 × 9 = 45.
7. 50 and 50
Total parts: 5 + 5 = 10. One part: 100 ÷ 10 = 10. 5 × 10 = 50, 5 × 10 = 50.
8. 32 and 16
Total parts: 4 + 2 = 6. One part: 48 ÷ 6 = 8. 4 × 8 = 32, 2 × 8 = 16.
9. 32 and 24
Total parts: 4 + 3 = 7. One part: 56 ÷ 7 = 8. 4 × 8 = 32, 3 × 8 = 24.
10. 18 and 18
Total parts: 2 + 2 = 4. One part: 36 ÷ 4 = 9. 2 × 9 = 18, 2 × 9 = 18.
11. 21 and 7
Total parts: 3 + 1 = 4. One part: 28 ÷ 4 = 7. 3 × 7 = 21, 1 × 7 = 7.
12. 48 and 84
Total parts: 4 + 7 = 11. One part: 132 ÷ 11 = 12. 4 × 12 = 48, 7 × 12 = 84.
Worked examples
Simplify the ratio 24:36.
- HCF of 24 and 36 is 12.
- Divide both parts by it: 2:3.
- Answer: 2:3
Share 96 in the ratio 5:3.
- Total parts: 5 + 3 = 8.
- One part: 96 ÷ 8 = 12.
- 5 × 12 = 60, 3 × 12 = 36.
- Answer: 60 and 36
Share 110 in the ratio 4:6.
- Total parts: 4 + 6 = 10.
- One part: 110 ÷ 10 = 11.
- 4 × 11 = 44, 6 × 11 = 66.
- Answer: 44 and 66
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 Introducing Writing Ratios
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Learn — Meet the idea.
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Frequently asked
- Is this Grade 3 Introducing 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 Introducing Writing Ratios?
- Move on to Working with Writing Ratios, Writing Ratios in Context, Simplifying Ratios, Sharing in a Ratio, which build directly on this idea.
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