Free Grade 3 Tangent Ratio in Context Worksheets
Free Grade 3 worksheets 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
Higher
25 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 20:8.[1]
- 2.Simplify the ratio 60:12.[1]
- 3.Simplify the ratio 8:40.[1]
- 4.Simplify the ratio 40:40.[1]
- 5.Share 72 in the ratio 3:6.[2]
- 6.Share 66 in the ratio 4:2.[2]
- 7.Share 15 in the ratio 4:1.[2]
- 8.Share 33 in the ratio 5:6.[2]
- 9.Share 49 in the ratio 2:5.[3]
- 10.Share 20 in the ratio 3:1.[3]
- 11.Share 45 in the ratio 5:4.[3]
- 12.Share 63 in the ratio 5:4.[3]
Show answers and working
1. 5:2
HCF of 20 and 8 is 4. Divide both parts by it: 5:2.
2. 5:1
HCF of 60 and 12 is 12. Divide both parts by it: 5:1.
3. 1:5
HCF of 8 and 40 is 8. Divide both parts by it: 1:5.
4. 1:1
HCF of 40 and 40 is 40. Divide both parts by it: 1:1.
5. 24 and 48
Total parts: 3 + 6 = 9. One part: 72 ÷ 9 = 8. 3 × 8 = 24, 6 × 8 = 48.
6. 44 and 22
Total parts: 4 + 2 = 6. One part: 66 ÷ 6 = 11. 4 × 11 = 44, 2 × 11 = 22.
7. 12 and 3
Total parts: 4 + 1 = 5. One part: 15 ÷ 5 = 3. 4 × 3 = 12, 1 × 3 = 3.
8. 15 and 18
Total parts: 5 + 6 = 11. One part: 33 ÷ 11 = 3. 5 × 3 = 15, 6 × 3 = 18.
9. 14 and 35
Total parts: 2 + 5 = 7. One part: 49 ÷ 7 = 7. 2 × 7 = 14, 5 × 7 = 35.
10. 15 and 5
Total parts: 3 + 1 = 4. One part: 20 ÷ 4 = 5. 3 × 5 = 15, 1 × 5 = 5.
11. 25 and 20
Total parts: 5 + 4 = 9. One part: 45 ÷ 9 = 5. 5 × 5 = 25, 4 × 5 = 20.
12. 35 and 28
Total parts: 5 + 4 = 9. One part: 63 ÷ 9 = 7. 5 × 7 = 35, 4 × 7 = 28.
Worked examples
Simplify the ratio 12:6.
- HCF of 12 and 6 is 6.
- Divide both parts by it: 2:1.
- Answer: 2:1
Share 100 in the ratio 4:6.
- Total parts: 4 + 6 = 10.
- One part: 100 ÷ 10 = 10.
- 4 × 10 = 40, 6 × 10 = 60.
- Answer: 40 and 60
Share 30 in the ratio 3:7.
- Total parts: 3 + 7 = 10.
- One part: 30 ÷ 10 = 3.
- 3 × 3 = 9, 7 × 3 = 21.
- Answer: 9 and 21
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.
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Frequently asked
- Is this Grade 3 Tangent 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 Tangent Ratio, Introducing Tangent Ratio, Cosine 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 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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