Free Grade 3 Working with Writing Ratios Quizzes
Free Grade 3 quizzes for Working with 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
Higher
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with writing ratios
Explain working with writing ratios accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with writing ratios
Calculate working with writing ratios accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with writing ratios
Compare working with writing ratios accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with writing ratios
Justify working with 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 Working with 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 60:48.[1]
- 2.Simplify the ratio 12:20.[1]
- 3.Simplify the ratio 24:48.[1]
- 4.Simplify the ratio 16:8.[1]
- 5.Share 77 in the ratio 4:3.[2]
- 6.Share 49 in the ratio 4:3.[2]
- 7.Share 12 in the ratio 1:1.[2]
- 8.Share 20 in the ratio 3:1.[2]
- 9.Share 35 in the ratio 4:1.[3]
- 10.Share 80 in the ratio 2:6.[3]
- 11.Share 36 in the ratio 2:7.[3]
- 12.Share 63 in the ratio 3:4.[3]
Show answers and working
1. 5:4
HCF of 60 and 48 is 12. Divide both parts by it: 5:4.
2. 3:5
HCF of 12 and 20 is 4. Divide both parts by it: 3:5.
3. 1:2
HCF of 24 and 48 is 24. Divide both parts by it: 1:2.
4. 2:1
HCF of 16 and 8 is 8. Divide both parts by it: 2:1.
5. 44 and 33
Total parts: 4 + 3 = 7. One part: 77 ÷ 7 = 11. 4 × 11 = 44, 3 × 11 = 33.
6. 28 and 21
Total parts: 4 + 3 = 7. One part: 49 ÷ 7 = 7. 4 × 7 = 28, 3 × 7 = 21.
7. 6 and 6
Total parts: 1 + 1 = 2. One part: 12 ÷ 2 = 6. 1 × 6 = 6, 1 × 6 = 6.
8. 15 and 5
Total parts: 3 + 1 = 4. One part: 20 ÷ 4 = 5. 3 × 5 = 15, 1 × 5 = 5.
9. 28 and 7
Total parts: 4 + 1 = 5. One part: 35 ÷ 5 = 7. 4 × 7 = 28, 1 × 7 = 7.
10. 20 and 60
Total parts: 2 + 6 = 8. One part: 80 ÷ 8 = 10. 2 × 10 = 20, 6 × 10 = 60.
11. 8 and 28
Total parts: 2 + 7 = 9. One part: 36 ÷ 9 = 4. 2 × 4 = 8, 7 × 4 = 28.
12. 27 and 36
Total parts: 3 + 4 = 7. One part: 63 ÷ 7 = 9. 3 × 9 = 27, 4 × 9 = 36.
Worked examples
Simplify the ratio 36:12.
- HCF of 36 and 12 is 12.
- Divide both parts by it: 3:1.
- Answer: 3:1
Share 60 in the ratio 4:6.
- Total parts: 4 + 6 = 10.
- One part: 60 ÷ 10 = 6.
- 4 × 6 = 24, 6 × 6 = 36.
- Answer: 24 and 36
Share 21 in the ratio 2:5.
- Total parts: 2 + 5 = 7.
- One part: 21 ÷ 7 = 3.
- 2 × 3 = 6, 5 × 3 = 15.
- Answer: 6 and 15
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 Working with Writing Ratios
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Learn — Meet the idea.
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Frequently asked
- Is this Grade 3 Working with Writing Ratios quiz really free?
- Yes. Every quizzes 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 Writing Ratios, Complex Numbers. Each one has its own free lesson, worksheet and quiz.
- How is the quiz 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 Writing Ratios?
- Move on to Writing Ratios in Context, Simplifying Ratios, Sharing in a Ratio, Ratio Word Problems, which build directly on this idea.
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