Free Grade 3 Introducing Sine Ratio Flashcards
Free Grade 3 flashcards for Introducing 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.
- UnderstandExplain introducing sine ratio
Explain introducing sine ratio accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing sine ratio
Calculate introducing sine ratio accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing sine ratio
Compare introducing sine ratio accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introducing sine ratio
Justify introducing 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 Introducing 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 36:24.[1]
- 2.Simplify the ratio 6:30.[1]
- 3.Simplify the ratio 50:20.[1]
- 4.Simplify the ratio 12:36.[1]
- 5.Share 27 in the ratio 2:1.[2]
- 6.Share 24 in the ratio 2:2.[2]
- 7.Share 12 in the ratio 5:1.[2]
- 8.Share 15 in the ratio 4:1.[2]
- 9.Share 84 in the ratio 4:3.[3]
- 10.Share 54 in the ratio 3:6.[3]
- 11.Share 30 in the ratio 5:5.[3]
- 12.Share 24 in the ratio 1:3.[3]
Show answers and working
1. 3:2
HCF of 36 and 24 is 12. Divide both parts by it: 3:2.
2. 1:5
HCF of 6 and 30 is 6. Divide both parts by it: 1:5.
3. 5:2
HCF of 50 and 20 is 10. Divide both parts by it: 5:2.
4. 1:3
HCF of 12 and 36 is 12. Divide both parts by it: 1:3.
5. 18 and 9
Total parts: 2 + 1 = 3. One part: 27 ÷ 3 = 9. 2 × 9 = 18, 1 × 9 = 9.
6. 12 and 12
Total parts: 2 + 2 = 4. One part: 24 ÷ 4 = 6. 2 × 6 = 12, 2 × 6 = 12.
7. 10 and 2
Total parts: 5 + 1 = 6. One part: 12 ÷ 6 = 2. 5 × 2 = 10, 1 × 2 = 2.
8. 12 and 3
Total parts: 4 + 1 = 5. One part: 15 ÷ 5 = 3. 4 × 3 = 12, 1 × 3 = 3.
9. 48 and 36
Total parts: 4 + 3 = 7. One part: 84 ÷ 7 = 12. 4 × 12 = 48, 3 × 12 = 36.
10. 18 and 36
Total parts: 3 + 6 = 9. One part: 54 ÷ 9 = 6. 3 × 6 = 18, 6 × 6 = 36.
11. 15 and 15
Total parts: 5 + 5 = 10. One part: 30 ÷ 10 = 3. 5 × 3 = 15, 5 × 3 = 15.
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 48:60.
- HCF of 48 and 60 is 12.
- Divide both parts by it: 4:5.
- Answer: 4:5
Share 35 in the ratio 2:5.
- Total parts: 2 + 5 = 7.
- One part: 35 ÷ 7 = 5.
- 2 × 5 = 10, 5 × 5 = 25.
- Answer: 10 and 25
Share 55 in the ratio 2:3.
- Total parts: 2 + 3 = 5.
- One part: 55 ÷ 5 = 11.
- 2 × 11 = 22, 3 × 11 = 33.
- Answer: 22 and 33
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 Introducing Sine Ratio
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Frequently asked
- Is this Grade 3 Introducing 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 Introducing Sine Ratio?
- Move on to Working with Sine Ratio, Sine Ratio in Context, Cosine Ratio, Tangent Ratio, which build directly on this idea.
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