Free Grade 3 Introducing Simplifying Ratios Quizzes
Free Grade 3 quizzes for Introducing 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 introducing simplifying ratios
Explain introducing simplifying ratios accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing simplifying ratios
Calculate introducing simplifying ratios accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing simplifying ratios
Compare introducing simplifying ratios accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introducing simplifying ratios
Justify introducing 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 Introducing 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 30:10.[1]
- 2.Simplify the ratio 24:36.[1]
- 3.Simplify the ratio 40:32.[1]
- 4.Simplify the ratio 32:8.[1]
- 5.Share 56 in the ratio 4:3.[2]
- 6.Share 60 in the ratio 3:2.[2]
- 7.Share 36 in the ratio 1:3.[2]
- 8.Share 48 in the ratio 5:1.[2]
- 9.Share 28 in the ratio 2:5.[3]
- 10.Share 108 in the ratio 5:7.[3]
- 11.Share 60 in the ratio 3:7.[3]
- 12.Share 24 in the ratio 2:6.[3]
Show answers and working
1. 3:1
HCF of 30 and 10 is 10. Divide both parts by it: 3:1.
2. 2:3
HCF of 24 and 36 is 12. Divide both parts by it: 2:3.
3. 5:4
HCF of 40 and 32 is 8. Divide both parts by it: 5:4.
4. 4:1
HCF of 32 and 8 is 8. Divide both parts by it: 4:1.
5. 32 and 24
Total parts: 4 + 3 = 7. One part: 56 ÷ 7 = 8. 4 × 8 = 32, 3 × 8 = 24.
6. 36 and 24
Total parts: 3 + 2 = 5. One part: 60 ÷ 5 = 12. 3 × 12 = 36, 2 × 12 = 24.
7. 9 and 27
Total parts: 1 + 3 = 4. One part: 36 ÷ 4 = 9. 1 × 9 = 9, 3 × 9 = 27.
8. 40 and 8
Total parts: 5 + 1 = 6. One part: 48 ÷ 6 = 8. 5 × 8 = 40, 1 × 8 = 8.
9. 8 and 20
Total parts: 2 + 5 = 7. One part: 28 ÷ 7 = 4. 2 × 4 = 8, 5 × 4 = 20.
10. 45 and 63
Total parts: 5 + 7 = 12. One part: 108 ÷ 12 = 9. 5 × 9 = 45, 7 × 9 = 63.
11. 18 and 42
Total parts: 3 + 7 = 10. One part: 60 ÷ 10 = 6. 3 × 6 = 18, 7 × 6 = 42.
12. 6 and 18
Total parts: 2 + 6 = 8. One part: 24 ÷ 8 = 3. 2 × 3 = 6, 6 × 3 = 18.
Worked examples
Simplify the ratio 20:8.
- HCF of 20 and 8 is 4.
- Divide both parts by it: 5:2.
- Answer: 5:2
Share 21 in the ratio 1:2.
- Total parts: 1 + 2 = 3.
- One part: 21 ÷ 3 = 7.
- 1 × 7 = 7, 2 × 7 = 14.
- Answer: 7 and 14
Share 49 in the ratio 3:4.
- Total parts: 3 + 4 = 7.
- One part: 49 ÷ 7 = 7.
- 3 × 7 = 21, 4 × 7 = 28.
- Answer: 21 and 28
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.
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Frequently asked
- Is this Grade 3 Introducing 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 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 Introducing Simplifying Ratios?
- Move on to Working with Simplifying Ratios, Simplifying Ratios in Context, Writing Ratios, Sharing in a Ratio, which build directly on this idea.
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