Free Grade 3 Cosine Ratio Flashcards
Free Grade 3 flashcards for Cosine 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
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify cosine ratio
Identify cosine ratio accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain cosine ratio
Explain cosine ratio accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate cosine ratio
Calculate cosine ratio accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare cosine ratio
Compare cosine 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 Cosine 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 30:40.[1]
- 2.Simplify the ratio 24:60.[1]
- 3.Simplify the ratio 24:40.[1]
- 4.Simplify the ratio 48:24.[1]
- 5.Share 18 in the ratio 1:1.[2]
- 6.Share 72 in the ratio 5:1.[2]
- 7.Share 40 in the ratio 3:2.[2]
- 8.Share 24 in the ratio 2:6.[2]
- 9.Share 24 in the ratio 5:1.[3]
- 10.Share 70 in the ratio 5:2.[3]
- 11.Share 80 in the ratio 3:7.[3]
- 12.Share 45 in the ratio 4:1.[3]
Show answers and working
1. 3:4
HCF of 30 and 40 is 10. Divide both parts by it: 3:4.
2. 2:5
HCF of 24 and 60 is 12. Divide both parts by it: 2:5.
3. 3:5
HCF of 24 and 40 is 8. Divide both parts by it: 3:5.
4. 2:1
HCF of 48 and 24 is 24. Divide both parts by it: 2:1.
5. 9 and 9
Total parts: 1 + 1 = 2. One part: 18 ÷ 2 = 9. 1 × 9 = 9, 1 × 9 = 9.
6. 60 and 12
Total parts: 5 + 1 = 6. One part: 72 ÷ 6 = 12. 5 × 12 = 60, 1 × 12 = 12.
7. 24 and 16
Total parts: 3 + 2 = 5. One part: 40 ÷ 5 = 8. 3 × 8 = 24, 2 × 8 = 16.
8. 6 and 18
Total parts: 2 + 6 = 8. One part: 24 ÷ 8 = 3. 2 × 3 = 6, 6 × 3 = 18.
9. 20 and 4
Total parts: 5 + 1 = 6. One part: 24 ÷ 6 = 4. 5 × 4 = 20, 1 × 4 = 4.
10. 50 and 20
Total parts: 5 + 2 = 7. One part: 70 ÷ 7 = 10. 5 × 10 = 50, 2 × 10 = 20.
11. 24 and 56
Total parts: 3 + 7 = 10. One part: 80 ÷ 10 = 8. 3 × 8 = 24, 7 × 8 = 56.
12. 36 and 9
Total parts: 4 + 1 = 5. One part: 45 ÷ 5 = 9. 4 × 9 = 36, 1 × 9 = 9.
Worked examples
Simplify the ratio 24:12.
- HCF of 24 and 12 is 12.
- Divide both parts by it: 2:1.
- Answer: 2:1
Share 45 in the ratio 1:4.
- Total parts: 1 + 4 = 5.
- One part: 45 ÷ 5 = 9.
- 1 × 9 = 9, 4 × 9 = 36.
- Answer: 9 and 36
Share 56 in the ratio 3:4.
- Total parts: 3 + 4 = 7.
- One part: 56 ÷ 7 = 8.
- 3 × 8 = 24, 4 × 8 = 32.
- Answer: 24 and 32
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 Cosine Ratio
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Learn — Meet the idea.
Practice — Build fluency.
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Frequently asked
- Is this Grade 3 Cosine 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 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 Cosine Ratio?
- Move on to Tangent Ratio, Pythagoras' Theorem, Angles of Elevation, Non-right-angled Trigonometry, which build directly on this idea.
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