Free Grade 3 Sine Ratio in Context Lessons
Free Grade 3 lessons 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
20 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 20:50.[1]
- 2.Simplify the ratio 12:12.[1]
- 3.Simplify the ratio 18:12.[1]
- 4.Simplify the ratio 12:24.[1]
- 5.Share 35 in the ratio 2:3.[2]
- 6.Share 30 in the ratio 2:1.[2]
- 7.Share 77 in the ratio 3:4.[2]
- 8.Share 36 in the ratio 5:1.[2]
- 9.Share 96 in the ratio 1:7.[3]
- 10.Share 99 in the ratio 5:4.[3]
- 11.Share 42 in the ratio 1:6.[3]
- 12.Share 81 in the ratio 5:4.[3]
Show answers and working
1. 2:5
HCF of 20 and 50 is 10. Divide both parts by it: 2:5.
2. 1:1
HCF of 12 and 12 is 12. Divide both parts by it: 1:1.
3. 3:2
HCF of 18 and 12 is 6. Divide both parts by it: 3:2.
4. 1:2
HCF of 12 and 24 is 12. Divide both parts by it: 1:2.
5. 14 and 21
Total parts: 2 + 3 = 5. One part: 35 ÷ 5 = 7. 2 × 7 = 14, 3 × 7 = 21.
6. 20 and 10
Total parts: 2 + 1 = 3. One part: 30 ÷ 3 = 10. 2 × 10 = 20, 1 × 10 = 10.
7. 33 and 44
Total parts: 3 + 4 = 7. One part: 77 ÷ 7 = 11. 3 × 11 = 33, 4 × 11 = 44.
8. 30 and 6
Total parts: 5 + 1 = 6. One part: 36 ÷ 6 = 6. 5 × 6 = 30, 1 × 6 = 6.
9. 12 and 84
Total parts: 1 + 7 = 8. One part: 96 ÷ 8 = 12. 1 × 12 = 12, 7 × 12 = 84.
10. 55 and 44
Total parts: 5 + 4 = 9. One part: 99 ÷ 9 = 11. 5 × 11 = 55, 4 × 11 = 44.
11. 6 and 36
Total parts: 1 + 6 = 7. One part: 42 ÷ 7 = 6. 1 × 6 = 6, 6 × 6 = 36.
12. 45 and 36
Total parts: 5 + 4 = 9. One part: 81 ÷ 9 = 9. 5 × 9 = 45, 4 × 9 = 36.
Worked examples
Simplify the ratio 60:12.
- HCF of 60 and 12 is 12.
- Divide both parts by it: 5:1.
- Answer: 5:1
Share 108 in the ratio 4:5.
- Total parts: 4 + 5 = 9.
- One part: 108 ÷ 9 = 12.
- 4 × 12 = 48, 5 × 12 = 60.
- Answer: 48 and 60
Share 10 in the ratio 3:2.
- Total parts: 3 + 2 = 5.
- One part: 10 ÷ 5 = 2.
- 3 × 2 = 6, 2 × 2 = 4.
- Answer: 6 and 4
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 lesson really free?
- Yes. Every lessons 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 lesson 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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