Free Grade 3 Cosine Ratio in Context Worksheets
Free Grade 3 worksheets for Cosine Ratio in Context: 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
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify cosine ratio in context
Identify cosine ratio in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain cosine ratio in context
Explain cosine ratio in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate cosine ratio in context
Calculate cosine ratio in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare cosine ratio in context
Compare cosine ratio in context 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 in Context 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 18:18.[1]
- 2.Simplify the ratio 50:10.[1]
- 3.Simplify the ratio 4:8.[1]
- 4.Simplify the ratio 48:24.[1]
- 5.Share 72 in the ratio 3:6.[2]
- 6.Share 20 in the ratio 3:1.[2]
- 7.Share 42 in the ratio 4:3.[2]
- 8.Share 32 in the ratio 2:2.[2]
- 9.Share 40 in the ratio 3:7.[3]
- 10.Share 55 in the ratio 3:2.[3]
- 11.Share 84 in the ratio 4:3.[3]
- 12.Share 32 in the ratio 3:1.[3]
Show answers and working
1. 1:1
HCF of 18 and 18 is 18. Divide both parts by it: 1:1.
2. 5:1
HCF of 50 and 10 is 10. Divide both parts by it: 5:1.
3. 1:2
HCF of 4 and 8 is 4. Divide both parts by it: 1:2.
4. 2:1
HCF of 48 and 24 is 24. Divide both parts by it: 2:1.
5. 24 and 48
Total parts: 3 + 6 = 9. One part: 72 ÷ 9 = 8. 3 × 8 = 24, 6 × 8 = 48.
6. 15 and 5
Total parts: 3 + 1 = 4. One part: 20 ÷ 4 = 5. 3 × 5 = 15, 1 × 5 = 5.
7. 24 and 18
Total parts: 4 + 3 = 7. One part: 42 ÷ 7 = 6. 4 × 6 = 24, 3 × 6 = 18.
8. 16 and 16
Total parts: 2 + 2 = 4. One part: 32 ÷ 4 = 8. 2 × 8 = 16, 2 × 8 = 16.
9. 12 and 28
Total parts: 3 + 7 = 10. One part: 40 ÷ 10 = 4. 3 × 4 = 12, 7 × 4 = 28.
10. 33 and 22
Total parts: 3 + 2 = 5. One part: 55 ÷ 5 = 11. 3 × 11 = 33, 2 × 11 = 22.
11. 48 and 36
Total parts: 4 + 3 = 7. One part: 84 ÷ 7 = 12. 4 × 12 = 48, 3 × 12 = 36.
12. 24 and 8
Total parts: 3 + 1 = 4. One part: 32 ÷ 4 = 8. 3 × 8 = 24, 1 × 8 = 8.
Worked examples
Simplify the ratio 30:30.
- HCF of 30 and 30 is 30.
- Divide both parts by it: 1:1.
- Answer: 1:1
Share 64 in the ratio 2:6.
- Total parts: 2 + 6 = 8.
- One part: 64 ÷ 8 = 8.
- 2 × 8 = 16, 6 × 8 = 48.
- Answer: 16 and 48
Share 56 in the ratio 1:7.
- Total parts: 1 + 7 = 8.
- One part: 56 ÷ 8 = 7.
- 1 × 7 = 7, 7 × 7 = 49.
- Answer: 7 and 49
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 in Context
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Learn — Meet the idea.
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Frequently asked
- Is this Grade 3 Cosine Ratio in Context worksheet really free?
- Yes. Every worksheets 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 Working with Cosine Ratio, Introducing Cosine Ratio, Sine Ratio. Each one has its own free lesson, worksheet and quiz.
- How is the worksheet 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 in Context?
- Move on to Sine Ratio, Tangent Ratio, Pythagoras' Theorem, Angles of Elevation, which build directly on this idea.
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