Free Grade 3 Sine Ratio Flashcards
Free Grade 3 flashcards 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
25 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 8:8.[1]
- 2.Simplify the ratio 32:8.[1]
- 3.Simplify the ratio 36:24.[1]
- 4.Simplify the ratio 40:32.[1]
- 5.Share 40 in the ratio 3:5.[2]
- 6.Share 63 in the ratio 5:2.[2]
- 7.Share 16 in the ratio 2:2.[2]
- 8.Share 21 in the ratio 2:5.[2]
- 9.Share 42 in the ratio 2:5.[3]
- 10.Share 110 in the ratio 4:6.[3]
- 11.Share 24 in the ratio 3:1.[3]
- 12.Share 36 in the ratio 5:4.[3]
Show answers and working
1. 1:1
HCF of 8 and 8 is 8. Divide both parts by it: 1:1.
2. 4:1
HCF of 32 and 8 is 8. Divide both parts by it: 4:1.
3. 3:2
HCF of 36 and 24 is 12. Divide both parts by it: 3:2.
4. 5:4
HCF of 40 and 32 is 8. Divide both parts by it: 5:4.
5. 15 and 25
Total parts: 3 + 5 = 8. One part: 40 ÷ 8 = 5. 3 × 5 = 15, 5 × 5 = 25.
6. 45 and 18
Total parts: 5 + 2 = 7. One part: 63 ÷ 7 = 9. 5 × 9 = 45, 2 × 9 = 18.
7. 8 and 8
Total parts: 2 + 2 = 4. One part: 16 ÷ 4 = 4. 2 × 4 = 8, 2 × 4 = 8.
8. 6 and 15
Total parts: 2 + 5 = 7. One part: 21 ÷ 7 = 3. 2 × 3 = 6, 5 × 3 = 15.
9. 12 and 30
Total parts: 2 + 5 = 7. One part: 42 ÷ 7 = 6. 2 × 6 = 12, 5 × 6 = 30.
10. 44 and 66
Total parts: 4 + 6 = 10. One part: 110 ÷ 10 = 11. 4 × 11 = 44, 6 × 11 = 66.
11. 18 and 6
Total parts: 3 + 1 = 4. One part: 24 ÷ 4 = 6. 3 × 6 = 18, 1 × 6 = 6.
12. 20 and 16
Total parts: 5 + 4 = 9. One part: 36 ÷ 9 = 4. 5 × 4 = 20, 4 × 4 = 16.
Worked examples
Simplify the ratio 6:30.
- HCF of 6 and 30 is 6.
- Divide both parts by it: 1:5.
- Answer: 1:5
Share 14 in the ratio 3:4.
- Total parts: 3 + 4 = 7.
- One part: 14 ÷ 7 = 2.
- 3 × 2 = 6, 4 × 2 = 8.
- Answer: 6 and 8
Share 36 in the ratio 2:2.
- Total parts: 2 + 2 = 4.
- One part: 36 ÷ 4 = 9.
- 2 × 9 = 18, 2 × 9 = 18.
- Answer: 18 and 18
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.
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Teach — Deliver it to a class.
Frequently asked
- Is this Grade 3 Sine Ratio flashcards really free?
- Yes. Every flashcards 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 flashcards 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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