Free Grade 3 Sine Ratio in Context Worksheets
Free Grade 3 worksheets for Sine Ratio in Context: 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
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify sine ratio in context
Identify sine ratio in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain sine ratio in context
Explain sine ratio in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate sine ratio in context
Calculate sine ratio in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare sine ratio in context
Compare sine ratio in context 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 in Context 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 16:8.[1]
- 2.Simplify the ratio 20:4.[1]
- 3.Simplify the ratio 8:8.[1]
- 4.Simplify the ratio 30:20.[1]
- 5.Share 12 in the ratio 2:2.[2]
- 6.Share 12 in the ratio 2:4.[2]
- 7.Share 80 in the ratio 4:6.[2]
- 8.Share 72 in the ratio 1:5.[2]
- 9.Share 9 in the ratio 2:1.[3]
- 10.Share 36 in the ratio 1:5.[3]
- 11.Share 120 in the ratio 5:7.[3]
- 12.Share 24 in the ratio 1:3.[3]
Show answers and working
1. 2:1
HCF of 16 and 8 is 8. Divide both parts by it: 2:1.
2. 5:1
HCF of 20 and 4 is 4. Divide both parts by it: 5:1.
3. 1:1
HCF of 8 and 8 is 8. Divide both parts by it: 1:1.
4. 3:2
HCF of 30 and 20 is 10. Divide both parts by it: 3:2.
5. 6 and 6
Total parts: 2 + 2 = 4. One part: 12 ÷ 4 = 3. 2 × 3 = 6, 2 × 3 = 6.
6. 4 and 8
Total parts: 2 + 4 = 6. One part: 12 ÷ 6 = 2. 2 × 2 = 4, 4 × 2 = 8.
7. 32 and 48
Total parts: 4 + 6 = 10. One part: 80 ÷ 10 = 8. 4 × 8 = 32, 6 × 8 = 48.
8. 12 and 60
Total parts: 1 + 5 = 6. One part: 72 ÷ 6 = 12. 1 × 12 = 12, 5 × 12 = 60.
9. 6 and 3
Total parts: 2 + 1 = 3. One part: 9 ÷ 3 = 3. 2 × 3 = 6, 1 × 3 = 3.
10. 6 and 30
Total parts: 1 + 5 = 6. One part: 36 ÷ 6 = 6. 1 × 6 = 6, 5 × 6 = 30.
11. 50 and 70
Total parts: 5 + 7 = 12. One part: 120 ÷ 12 = 10. 5 × 10 = 50, 7 × 10 = 70.
12. 6 and 18
Total parts: 1 + 3 = 4. One part: 24 ÷ 4 = 6. 1 × 6 = 6, 3 × 6 = 18.
Worked examples
Simplify the ratio 40:40.
- HCF of 40 and 40 is 40.
- Divide both parts by it: 1:1.
- Answer: 1:1
Share 14 in the ratio 5:2.
- Total parts: 5 + 2 = 7.
- One part: 14 ÷ 7 = 2.
- 5 × 2 = 10, 2 × 2 = 4.
- Answer: 10 and 4
Share 90 in the ratio 5:5.
- Total parts: 5 + 5 = 10.
- One part: 90 ÷ 10 = 9.
- 5 × 9 = 45, 5 × 9 = 45.
- Answer: 45 and 45
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 in Context
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Learn — Meet the idea.
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Frequently asked
- Is this Grade 3 Sine Ratio in Context worksheet really free?
- Yes. Every worksheets 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 Working with Sine Ratio, Introducing Sine Ratio, Coordinate Geometry. Each one has its own free lesson, worksheet and quiz.
- How is the worksheet 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 in Context?
- Move on to Cosine Ratio, Tangent Ratio, Pythagoras' Theorem, Angles of Elevation, which build directly on this idea.
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