Free Grade 3 Working with Sine Ratio Flashcards
Free Grade 3 flashcards for Working with 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
Foundation
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with sine ratio
Explain working with sine ratio accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with sine ratio
Calculate working with sine ratio accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with sine ratio
Compare working with sine ratio accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with sine ratio
Justify working with 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 Working with 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 48:48.[1]
- 2.Simplify the ratio 18:24.[1]
- 3.Simplify the ratio 24:8.[1]
- 4.Simplify the ratio 36:12.[1]
- 5.Share 56 in the ratio 5:2.[2]
- 6.Share 40 in the ratio 3:5.[2]
- 7.Share 90 in the ratio 5:4.[2]
- 8.Share 16 in the ratio 2:2.[2]
- 9.Share 35 in the ratio 3:2.[3]
- 10.Share 28 in the ratio 5:2.[3]
- 11.Share 32 in the ratio 3:5.[3]
- 12.Share 54 in the ratio 3:3.[3]
Show answers and working
1. 1:1
HCF of 48 and 48 is 48. Divide both parts by it: 1:1.
2. 3:4
HCF of 18 and 24 is 6. Divide both parts by it: 3:4.
3. 3:1
HCF of 24 and 8 is 8. Divide both parts by it: 3:1.
4. 3:1
HCF of 36 and 12 is 12. Divide both parts by it: 3:1.
5. 40 and 16
Total parts: 5 + 2 = 7. One part: 56 ÷ 7 = 8. 5 × 8 = 40, 2 × 8 = 16.
6. 15 and 25
Total parts: 3 + 5 = 8. One part: 40 ÷ 8 = 5. 3 × 5 = 15, 5 × 5 = 25.
7. 50 and 40
Total parts: 5 + 4 = 9. One part: 90 ÷ 9 = 10. 5 × 10 = 50, 4 × 10 = 40.
8. 8 and 8
Total parts: 2 + 2 = 4. One part: 16 ÷ 4 = 4. 2 × 4 = 8, 2 × 4 = 8.
9. 21 and 14
Total parts: 3 + 2 = 5. One part: 35 ÷ 5 = 7. 3 × 7 = 21, 2 × 7 = 14.
10. 20 and 8
Total parts: 5 + 2 = 7. One part: 28 ÷ 7 = 4. 5 × 4 = 20, 2 × 4 = 8.
11. 12 and 20
Total parts: 3 + 5 = 8. One part: 32 ÷ 8 = 4. 3 × 4 = 12, 5 × 4 = 20.
12. 27 and 27
Total parts: 3 + 3 = 6. One part: 54 ÷ 6 = 9. 3 × 9 = 27, 3 × 9 = 27.
Worked examples
Simplify the ratio 20:12.
- HCF of 20 and 12 is 4.
- Divide both parts by it: 5:3.
- Answer: 5:3
Share 72 in the ratio 3:3.
- Total parts: 3 + 3 = 6.
- One part: 72 ÷ 6 = 12.
- 3 × 12 = 36, 3 × 12 = 36.
- Answer: 36 and 36
Share 99 in the ratio 3:6.
- Total parts: 3 + 6 = 9.
- One part: 99 ÷ 9 = 11.
- 3 × 11 = 33, 6 × 11 = 66.
- Answer: 33 and 66
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 Working with Sine Ratio
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Frequently asked
- Is this Grade 3 Working with 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 Introducing Sine Ratio, 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 Working with Sine Ratio?
- Move on to Sine Ratio in Context, Cosine Ratio, Tangent Ratio, Pythagoras' Theorem, which build directly on this idea.
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