Free Grade 3 Introducing Writing Ratios Worksheets
Free Grade 3 worksheets 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
Core
30 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 4:8.[1]
- 2.Simplify the ratio 36:24.[1]
- 3.Simplify the ratio 32:40.[1]
- 4.Simplify the ratio 12:6.[1]
- 5.Share 70 in the ratio 2:5.[2]
- 6.Share 12 in the ratio 5:1.[2]
- 7.Share 30 in the ratio 1:4.[2]
- 8.Share 108 in the ratio 4:5.[2]
- 9.Share 27 in the ratio 2:7.[3]
- 10.Share 32 in the ratio 5:3.[3]
- 11.Share 25 in the ratio 1:4.[3]
- 12.Share 54 in the ratio 4:5.[3]
Show answers and working
1. 1:2
HCF of 4 and 8 is 4. Divide both parts by it: 1:2.
2. 3:2
HCF of 36 and 24 is 12. Divide both parts by it: 3:2.
3. 4:5
HCF of 32 and 40 is 8. Divide both parts by it: 4:5.
4. 2:1
HCF of 12 and 6 is 6. Divide both parts by it: 2:1.
5. 20 and 50
Total parts: 2 + 5 = 7. One part: 70 ÷ 7 = 10. 2 × 10 = 20, 5 × 10 = 50.
6. 10 and 2
Total parts: 5 + 1 = 6. One part: 12 ÷ 6 = 2. 5 × 2 = 10, 1 × 2 = 2.
7. 6 and 24
Total parts: 1 + 4 = 5. One part: 30 ÷ 5 = 6. 1 × 6 = 6, 4 × 6 = 24.
8. 48 and 60
Total parts: 4 + 5 = 9. One part: 108 ÷ 9 = 12. 4 × 12 = 48, 5 × 12 = 60.
9. 6 and 21
Total parts: 2 + 7 = 9. One part: 27 ÷ 9 = 3. 2 × 3 = 6, 7 × 3 = 21.
10. 20 and 12
Total parts: 5 + 3 = 8. One part: 32 ÷ 8 = 4. 5 × 4 = 20, 3 × 4 = 12.
11. 5 and 20
Total parts: 1 + 4 = 5. One part: 25 ÷ 5 = 5. 1 × 5 = 5, 4 × 5 = 20.
12. 24 and 30
Total parts: 4 + 5 = 9. One part: 54 ÷ 9 = 6. 4 × 6 = 24, 5 × 6 = 30.
Worked examples
Simplify the ratio 10:40.
- HCF of 10 and 40 is 10.
- Divide both parts by it: 1:4.
- Answer: 1:4
Share 36 in the ratio 1:3.
- Total parts: 1 + 3 = 4.
- One part: 36 ÷ 4 = 9.
- 1 × 9 = 9, 3 × 9 = 27.
- Answer: 9 and 27
Share 27 in the ratio 5:4.
- Total parts: 5 + 4 = 9.
- One part: 27 ÷ 9 = 3.
- 5 × 3 = 15, 4 × 3 = 12.
- Answer: 15 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 Introducing 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 Introducing Writing Ratios worksheet really free?
- Yes. Every worksheets 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 worksheet 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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