Free Grade 3 Writing Ratios Quizzes
Free Grade 3 quizzes for 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.
- RememberIdentify writing ratios
Identify writing ratios accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain writing ratios
Explain writing ratios accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate writing ratios
Calculate writing ratios accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare writing ratios
Compare 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 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 10:40.[1]
- 2.Simplify the ratio 6:30.[1]
- 3.Simplify the ratio 40:24.[1]
- 4.Simplify the ratio 16:20.[1]
- 5.Share 44 in the ratio 3:1.[2]
- 6.Share 30 in the ratio 1:5.[2]
- 7.Share 24 in the ratio 1:1.[2]
- 8.Share 10 in the ratio 1:1.[2]
- 9.Share 50 in the ratio 1:4.[3]
- 10.Share 16 in the ratio 1:1.[3]
- 11.Share 20 in the ratio 3:1.[3]
- 12.Share 50 in the ratio 4:6.[3]
Show answers and working
1. 1:4
HCF of 10 and 40 is 10. Divide both parts by it: 1:4.
2. 1:5
HCF of 6 and 30 is 6. Divide both parts by it: 1:5.
3. 5:3
HCF of 40 and 24 is 8. Divide both parts by it: 5:3.
4. 4:5
HCF of 16 and 20 is 4. Divide both parts by it: 4:5.
5. 33 and 11
Total parts: 3 + 1 = 4. One part: 44 ÷ 4 = 11. 3 × 11 = 33, 1 × 11 = 11.
6. 5 and 25
Total parts: 1 + 5 = 6. One part: 30 ÷ 6 = 5. 1 × 5 = 5, 5 × 5 = 25.
7. 12 and 12
Total parts: 1 + 1 = 2. One part: 24 ÷ 2 = 12. 1 × 12 = 12, 1 × 12 = 12.
8. 5 and 5
Total parts: 1 + 1 = 2. One part: 10 ÷ 2 = 5. 1 × 5 = 5, 1 × 5 = 5.
9. 10 and 40
Total parts: 1 + 4 = 5. One part: 50 ÷ 5 = 10. 1 × 10 = 10, 4 × 10 = 40.
10. 8 and 8
Total parts: 1 + 1 = 2. One part: 16 ÷ 2 = 8. 1 × 8 = 8, 1 × 8 = 8.
11. 15 and 5
Total parts: 3 + 1 = 4. One part: 20 ÷ 4 = 5. 3 × 5 = 15, 1 × 5 = 5.
12. 20 and 30
Total parts: 4 + 6 = 10. One part: 50 ÷ 10 = 5. 4 × 5 = 20, 6 × 5 = 30.
Worked examples
Simplify the ratio 16:24.
- HCF of 16 and 24 is 8.
- Divide both parts by it: 2:3.
- Answer: 2:3
Share 120 in the ratio 4:6.
- Total parts: 4 + 6 = 10.
- One part: 120 ÷ 10 = 12.
- 4 × 12 = 48, 6 × 12 = 72.
- Answer: 48 and 72
Share 88 in the ratio 4:4.
- Total parts: 4 + 4 = 8.
- One part: 88 ÷ 8 = 11.
- 4 × 11 = 44, 4 × 11 = 44.
- Answer: 44 and 44
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 Writing Ratios
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Learn — Meet the idea.
Practice — Build fluency.
Revise — Keep it in memory.
Assess — Prove mastery.
Apply — Use it in context.
Teach — Deliver it to a class.
Frequently asked
- Is this Grade 3 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 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 Writing Ratios?
- Move on to Simplifying Ratios, Sharing in a Ratio, Ratio Word Problems, Whole Numbers, which build directly on this idea.
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