Free Grade 3 Sine Ratio Lesson Plans
Free Grade 3 lesson plans 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
Higher
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 8:40.[1]
- 2.Simplify the ratio 40:20.[1]
- 3.Simplify the ratio 12:4.[1]
- 4.Simplify the ratio 6:24.[1]
- 5.Share 108 in the ratio 4:5.[2]
- 6.Share 35 in the ratio 1:6.[2]
- 7.Share 18 in the ratio 2:1.[2]
- 8.Share 22 in the ratio 1:1.[2]
- 9.Share 110 in the ratio 3:7.[3]
- 10.Share 64 in the ratio 2:6.[3]
- 11.Share 15 in the ratio 1:2.[3]
- 12.Share 80 in the ratio 4:6.[3]
Show answers and working
1. 1:5
HCF of 8 and 40 is 8. Divide both parts by it: 1:5.
2. 2:1
HCF of 40 and 20 is 20. Divide both parts by it: 2:1.
3. 3:1
HCF of 12 and 4 is 4. Divide both parts by it: 3:1.
4. 1:4
HCF of 6 and 24 is 6. Divide both parts by it: 1:4.
5. 48 and 60
Total parts: 4 + 5 = 9. One part: 108 ÷ 9 = 12. 4 × 12 = 48, 5 × 12 = 60.
6. 5 and 30
Total parts: 1 + 6 = 7. One part: 35 ÷ 7 = 5. 1 × 5 = 5, 6 × 5 = 30.
7. 12 and 6
Total parts: 2 + 1 = 3. One part: 18 ÷ 3 = 6. 2 × 6 = 12, 1 × 6 = 6.
8. 11 and 11
Total parts: 1 + 1 = 2. One part: 22 ÷ 2 = 11. 1 × 11 = 11, 1 × 11 = 11.
9. 33 and 77
Total parts: 3 + 7 = 10. One part: 110 ÷ 10 = 11. 3 × 11 = 33, 7 × 11 = 77.
10. 16 and 48
Total parts: 2 + 6 = 8. One part: 64 ÷ 8 = 8. 2 × 8 = 16, 6 × 8 = 48.
11. 5 and 10
Total parts: 1 + 2 = 3. One part: 15 ÷ 3 = 5. 1 × 5 = 5, 2 × 5 = 10.
12. 32 and 48
Total parts: 4 + 6 = 10. One part: 80 ÷ 10 = 8. 4 × 8 = 32, 6 × 8 = 48.
Worked examples
Simplify the ratio 40:10.
- HCF of 40 and 10 is 10.
- Divide both parts by it: 4:1.
- Answer: 4:1
Share 63 in the ratio 4:5.
- Total parts: 4 + 5 = 9.
- One part: 63 ÷ 9 = 7.
- 4 × 7 = 28, 5 × 7 = 35.
- Answer: 28 and 35
Share 96 in the ratio 2:6.
- Total parts: 2 + 6 = 8.
- One part: 96 ÷ 8 = 12.
- 2 × 12 = 24, 6 × 12 = 72.
- Answer: 24 and 72
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.
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Teach — Deliver it to a class.
Frequently asked
- Is this Grade 3 Sine Ratio lesson plan really free?
- Yes. Every lesson plans 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 lesson plan 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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