Free Grade 3 Tangent Ratio Quizzes
Free Grade 3 quizzes for Tangent 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
Stretch
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify tangent ratio
Identify tangent ratio accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain tangent ratio
Explain tangent ratio accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate tangent ratio
Calculate tangent ratio accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare tangent ratio
Compare tangent 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 Tangent 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 50:40.[1]
- 2.Simplify the ratio 40:24.[1]
- 3.Simplify the ratio 20:30.[1]
- 4.Simplify the ratio 24:24.[1]
- 5.Share 36 in the ratio 2:2.[2]
- 6.Share 35 in the ratio 3:4.[2]
- 7.Share 80 in the ratio 5:5.[2]
- 8.Share 81 in the ratio 5:4.[2]
- 9.Share 63 in the ratio 3:6.[3]
- 10.Share 36 in the ratio 1:3.[3]
- 11.Share 54 in the ratio 3:6.[3]
- 12.Share 72 in the ratio 4:5.[3]
Show answers and working
1. 5:4
HCF of 50 and 40 is 10. Divide both parts by it: 5:4.
2. 5:3
HCF of 40 and 24 is 8. Divide both parts by it: 5:3.
3. 2:3
HCF of 20 and 30 is 10. Divide both parts by it: 2:3.
4. 1:1
HCF of 24 and 24 is 24. Divide both parts by it: 1:1.
5. 18 and 18
Total parts: 2 + 2 = 4. One part: 36 ÷ 4 = 9. 2 × 9 = 18, 2 × 9 = 18.
6. 15 and 20
Total parts: 3 + 4 = 7. One part: 35 ÷ 7 = 5. 3 × 5 = 15, 4 × 5 = 20.
7. 40 and 40
Total parts: 5 + 5 = 10. One part: 80 ÷ 10 = 8. 5 × 8 = 40, 5 × 8 = 40.
8. 45 and 36
Total parts: 5 + 4 = 9. One part: 81 ÷ 9 = 9. 5 × 9 = 45, 4 × 9 = 36.
9. 21 and 42
Total parts: 3 + 6 = 9. One part: 63 ÷ 9 = 7. 3 × 7 = 21, 6 × 7 = 42.
10. 9 and 27
Total parts: 1 + 3 = 4. One part: 36 ÷ 4 = 9. 1 × 9 = 9, 3 × 9 = 27.
11. 18 and 36
Total parts: 3 + 6 = 9. One part: 54 ÷ 9 = 6. 3 × 6 = 18, 6 × 6 = 36.
12. 32 and 40
Total parts: 4 + 5 = 9. One part: 72 ÷ 9 = 8. 4 × 8 = 32, 5 × 8 = 40.
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 60 in the ratio 1:5.
- Total parts: 1 + 5 = 6.
- One part: 60 ÷ 6 = 10.
- 1 × 10 = 10, 5 × 10 = 50.
- Answer: 10 and 50
Share 42 in the ratio 4:2.
- Total parts: 4 + 2 = 6.
- One part: 42 ÷ 6 = 7.
- 4 × 7 = 28, 2 × 7 = 14.
- Answer: 28 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
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Learn — Meet the idea.
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Frequently asked
- Is this Grade 3 Tangent 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 Cosine Ratio, Sine Ratio, Coordinate Geometry. 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?
- Move on to Pythagoras' Theorem, Angles of Elevation, Non-right-angled Trigonometry, Trigonometric Graphs, which build directly on this idea.
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