Free Grade 3 Working with Simplifying Ratios Quizzes
Free Grade 3 quizzes 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
Higher
30 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 16:20.[1]
- 2.Simplify the ratio 24:60.[1]
- 3.Simplify the ratio 32:24.[1]
- 4.Simplify the ratio 32:40.[1]
- 5.Share 40 in the ratio 4:4.[2]
- 6.Share 33 in the ratio 2:1.[2]
- 7.Share 15 in the ratio 1:2.[2]
- 8.Share 40 in the ratio 4:6.[2]
- 9.Share 28 in the ratio 2:5.[3]
- 10.Share 12 in the ratio 2:4.[3]
- 11.Share 48 in the ratio 5:7.[3]
- 12.Share 48 in the ratio 4:2.[3]
Show answers and working
1. 4:5
HCF of 16 and 20 is 4. Divide both parts by it: 4:5.
2. 2:5
HCF of 24 and 60 is 12. Divide both parts by it: 2:5.
3. 4:3
HCF of 32 and 24 is 8. Divide both parts by it: 4:3.
4. 4:5
HCF of 32 and 40 is 8. Divide both parts by it: 4:5.
5. 20 and 20
Total parts: 4 + 4 = 8. One part: 40 ÷ 8 = 5. 4 × 5 = 20, 4 × 5 = 20.
6. 22 and 11
Total parts: 2 + 1 = 3. One part: 33 ÷ 3 = 11. 2 × 11 = 22, 1 × 11 = 11.
7. 5 and 10
Total parts: 1 + 2 = 3. One part: 15 ÷ 3 = 5. 1 × 5 = 5, 2 × 5 = 10.
8. 16 and 24
Total parts: 4 + 6 = 10. One part: 40 ÷ 10 = 4. 4 × 4 = 16, 6 × 4 = 24.
9. 8 and 20
Total parts: 2 + 5 = 7. One part: 28 ÷ 7 = 4. 2 × 4 = 8, 5 × 4 = 20.
10. 4 and 8
Total parts: 2 + 4 = 6. One part: 12 ÷ 6 = 2. 2 × 2 = 4, 4 × 2 = 8.
11. 20 and 28
Total parts: 5 + 7 = 12. One part: 48 ÷ 12 = 4. 5 × 4 = 20, 7 × 4 = 28.
12. 32 and 16
Total parts: 4 + 2 = 6. One part: 48 ÷ 6 = 8. 4 × 8 = 32, 2 × 8 = 16.
Worked examples
Simplify the ratio 24:12.
- HCF of 24 and 12 is 12.
- Divide both parts by it: 2:1.
- Answer: 2:1
Share 77 in the ratio 1:6.
- Total parts: 1 + 6 = 7.
- One part: 77 ÷ 7 = 11.
- 1 × 11 = 11, 6 × 11 = 66.
- Answer: 11 and 66
Share 36 in the ratio 1:2.
- Total parts: 1 + 2 = 3.
- One part: 36 ÷ 3 = 12.
- 1 × 12 = 12, 2 × 12 = 24.
- Answer: 12 and 24
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 Simplifying Ratios
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Frequently asked
- Is this Grade 3 Working with Simplifying 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 Simplifying Ratios, Writing Ratios. 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 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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