Free Grade 3 Tangent Ratio in Context Quizzes
Free Grade 3 quizzes for Tangent 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
Core
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify tangent ratio in context
Identify tangent ratio in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain tangent ratio in context
Explain tangent ratio in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate tangent ratio in context
Calculate tangent ratio in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare tangent ratio in context
Compare tangent 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 Tangent 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 10:40.[1]
- 2.Simplify the ratio 24:36.[1]
- 3.Simplify the ratio 30:6.[1]
- 4.Simplify the ratio 6:12.[1]
- 5.Share 30 in the ratio 2:4.[2]
- 6.Share 64 in the ratio 3:5.[2]
- 7.Share 35 in the ratio 4:1.[2]
- 8.Share 36 in the ratio 1:3.[2]
- 9.Share 32 in the ratio 3:1.[3]
- 10.Share 110 in the ratio 5:5.[3]
- 11.Share 42 in the ratio 1:5.[3]
- 12.Share 12 in the ratio 5:1.[3]
Show answers and working
1. 1:4
HCF of 10 and 40 is 10. Divide both parts by it: 1:4.
2. 2:3
HCF of 24 and 36 is 12. Divide both parts by it: 2:3.
3. 5:1
HCF of 30 and 6 is 6. Divide both parts by it: 5:1.
4. 1:2
HCF of 6 and 12 is 6. Divide both parts by it: 1:2.
5. 10 and 20
Total parts: 2 + 4 = 6. One part: 30 ÷ 6 = 5. 2 × 5 = 10, 4 × 5 = 20.
6. 24 and 40
Total parts: 3 + 5 = 8. One part: 64 ÷ 8 = 8. 3 × 8 = 24, 5 × 8 = 40.
7. 28 and 7
Total parts: 4 + 1 = 5. One part: 35 ÷ 5 = 7. 4 × 7 = 28, 1 × 7 = 7.
8. 9 and 27
Total parts: 1 + 3 = 4. One part: 36 ÷ 4 = 9. 1 × 9 = 9, 3 × 9 = 27.
9. 24 and 8
Total parts: 3 + 1 = 4. One part: 32 ÷ 4 = 8. 3 × 8 = 24, 1 × 8 = 8.
10. 55 and 55
Total parts: 5 + 5 = 10. One part: 110 ÷ 10 = 11. 5 × 11 = 55, 5 × 11 = 55.
11. 7 and 35
Total parts: 1 + 5 = 6. One part: 42 ÷ 6 = 7. 1 × 7 = 7, 5 × 7 = 35.
12. 10 and 2
Total parts: 5 + 1 = 6. One part: 12 ÷ 6 = 2. 5 × 2 = 10, 1 × 2 = 2.
Worked examples
Simplify the ratio 50:30.
- HCF of 50 and 30 is 10.
- Divide both parts by it: 5:3.
- Answer: 5:3
Share 10 in the ratio 2:3.
- Total parts: 2 + 3 = 5.
- One part: 10 ÷ 5 = 2.
- 2 × 2 = 4, 3 × 2 = 6.
- Answer: 4 and 6
Share 35 in the ratio 3:2.
- Total parts: 3 + 2 = 5.
- One part: 35 ÷ 5 = 7.
- 3 × 7 = 21, 2 × 7 = 14.
- Answer: 21 and 14
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 Tangent Ratio in Context
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Learn — Meet the idea.
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Frequently asked
- Is this Grade 3 Tangent Ratio in Context 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 Working with Tangent Ratio, Introducing Tangent Ratio, Cosine 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 Tangent Ratio in Context?
- Move on to Sine Ratio, Cosine Ratio, Pythagoras' Theorem, Angles of Elevation, which build directly on this idea.
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