Free Grade 3 Introducing Cosine Ratio Quizzes
Free Grade 3 quizzes for Introducing 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
Higher
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain introducing cosine ratio
Explain introducing cosine ratio accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing cosine ratio
Calculate introducing cosine ratio accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing cosine ratio
Compare introducing cosine ratio accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introducing cosine ratio
Justify introducing 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 Introducing 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 48:12.[1]
- 3.Simplify the ratio 4:8.[1]
- 4.Simplify the ratio 24:16.[1]
- 5.Share 35 in the ratio 2:3.[2]
- 6.Share 66 in the ratio 5:1.[2]
- 7.Share 84 in the ratio 4:3.[2]
- 8.Share 44 in the ratio 5:6.[2]
- 9.Share 14 in the ratio 1:6.[3]
- 10.Share 14 in the ratio 3:4.[3]
- 11.Share 33 in the ratio 5:6.[3]
- 12.Share 24 in the ratio 2:2.[3]
Show answers and working
1. 3:4
HCF of 30 and 40 is 10. Divide both parts by it: 3:4.
2. 4:1
HCF of 48 and 12 is 12. Divide both parts by it: 4:1.
3. 1:2
HCF of 4 and 8 is 4. Divide both parts by it: 1:2.
4. 3:2
HCF of 24 and 16 is 8. Divide both parts by it: 3:2.
5. 14 and 21
Total parts: 2 + 3 = 5. One part: 35 ÷ 5 = 7. 2 × 7 = 14, 3 × 7 = 21.
6. 55 and 11
Total parts: 5 + 1 = 6. One part: 66 ÷ 6 = 11. 5 × 11 = 55, 1 × 11 = 11.
7. 48 and 36
Total parts: 4 + 3 = 7. One part: 84 ÷ 7 = 12. 4 × 12 = 48, 3 × 12 = 36.
8. 20 and 24
Total parts: 5 + 6 = 11. One part: 44 ÷ 11 = 4. 5 × 4 = 20, 6 × 4 = 24.
9. 2 and 12
Total parts: 1 + 6 = 7. One part: 14 ÷ 7 = 2. 1 × 2 = 2, 6 × 2 = 12.
10. 6 and 8
Total parts: 3 + 4 = 7. One part: 14 ÷ 7 = 2. 3 × 2 = 6, 4 × 2 = 8.
11. 15 and 18
Total parts: 5 + 6 = 11. One part: 33 ÷ 11 = 3. 5 × 3 = 15, 6 × 3 = 18.
12. 12 and 12
Total parts: 2 + 2 = 4. One part: 24 ÷ 4 = 6. 2 × 6 = 12, 2 × 6 = 12.
Worked examples
Simplify the ratio 6:18.
- HCF of 6 and 18 is 6.
- Divide both parts by it: 1:3.
- Answer: 1:3
Share 56 in the ratio 4:4.
- Total parts: 4 + 4 = 8.
- One part: 56 ÷ 8 = 7.
- 4 × 7 = 28, 4 × 7 = 28.
- Answer: 28 and 28
Share 28 in the ratio 3:1.
- Total parts: 3 + 1 = 4.
- One part: 28 ÷ 4 = 7.
- 3 × 7 = 21, 1 × 7 = 7.
- Answer: 21 and 7
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 Cosine Ratio
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Learn — Meet the idea.
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Frequently asked
- Is this Grade 3 Introducing Cosine Ratio quiz really free?
- Yes. Every quizzes 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. Each one has its own free lesson, worksheet and quiz.
- How is the quiz 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 Cosine Ratio?
- Move on to Working with Cosine Ratio, Cosine Ratio in Context, Sine Ratio, Tangent Ratio, which build directly on this idea.
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