Free Grade 3 Sine Ratio Quizzes
Free Grade 3 quizzes for Sine Ratio: 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 sine ratio
Identify sine ratio accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain sine ratio
Explain sine ratio accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate sine ratio
Calculate sine ratio accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare sine ratio
Compare sine ratio 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 Sine Ratio 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 50:10.[1]
- 2.Simplify the ratio 4:8.[1]
- 3.Simplify the ratio 50:20.[1]
- 4.Simplify the ratio 8:12.[1]
- 5.Share 35 in the ratio 1:6.[2]
- 6.Share 32 in the ratio 1:3.[2]
- 7.Share 24 in the ratio 4:4.[2]
- 8.Share 21 in the ratio 2:5.[2]
- 9.Share 35 in the ratio 2:5.[3]
- 10.Share 22 in the ratio 1:1.[3]
- 11.Share 20 in the ratio 4:1.[3]
- 12.Share 96 in the ratio 3:5.[3]
Show answers and working
1. 5:1
HCF of 50 and 10 is 10. Divide both parts by it: 5:1.
2. 1:2
HCF of 4 and 8 is 4. Divide both parts by it: 1:2.
3. 5:2
HCF of 50 and 20 is 10. Divide both parts by it: 5:2.
4. 2:3
HCF of 8 and 12 is 4. Divide both parts by it: 2:3.
5. 5 and 30
Total parts: 1 + 6 = 7. One part: 35 ÷ 7 = 5. 1 × 5 = 5, 6 × 5 = 30.
6. 8 and 24
Total parts: 1 + 3 = 4. One part: 32 ÷ 4 = 8. 1 × 8 = 8, 3 × 8 = 24.
7. 12 and 12
Total parts: 4 + 4 = 8. One part: 24 ÷ 8 = 3. 4 × 3 = 12, 4 × 3 = 12.
8. 6 and 15
Total parts: 2 + 5 = 7. One part: 21 ÷ 7 = 3. 2 × 3 = 6, 5 × 3 = 15.
9. 10 and 25
Total parts: 2 + 5 = 7. One part: 35 ÷ 7 = 5. 2 × 5 = 10, 5 × 5 = 25.
10. 11 and 11
Total parts: 1 + 1 = 2. One part: 22 ÷ 2 = 11. 1 × 11 = 11, 1 × 11 = 11.
11. 16 and 4
Total parts: 4 + 1 = 5. One part: 20 ÷ 5 = 4. 4 × 4 = 16, 1 × 4 = 4.
12. 36 and 60
Total parts: 3 + 5 = 8. One part: 96 ÷ 8 = 12. 3 × 12 = 36, 5 × 12 = 60.
Worked examples
Simplify the ratio 36:36.
- HCF of 36 and 36 is 36.
- Divide both parts by it: 1:1.
- Answer: 1:1
Share 84 in the ratio 1:6.
- Total parts: 1 + 6 = 7.
- One part: 84 ÷ 7 = 12.
- 1 × 12 = 12, 6 × 12 = 72.
- Answer: 12 and 72
Share 72 in the ratio 2:6.
- Total parts: 2 + 6 = 8.
- One part: 72 ÷ 8 = 9.
- 2 × 9 = 18, 6 × 9 = 54.
- Answer: 18 and 54
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 Sine Ratio
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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 Sine Ratio 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 Coordinate Geometry. 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 Sine Ratio?
- Move on to Cosine Ratio, Tangent Ratio, Pythagoras' Theorem, Angles of Elevation, which build directly on this idea.
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