Free Grade 3 Introducing Tangent Ratio Worksheets
Free Grade 3 worksheets for Introducing 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
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain introducing tangent ratio
Explain introducing tangent ratio accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing tangent ratio
Calculate introducing tangent ratio accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing tangent ratio
Compare introducing tangent ratio accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introducing tangent ratio
Justify introducing 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 Introducing 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 16:16.[1]
- 2.Simplify the ratio 20:8.[1]
- 3.Simplify the ratio 18:30.[1]
- 4.Simplify the ratio 20:16.[1]
- 5.Share 32 in the ratio 1:3.[2]
- 6.Share 12 in the ratio 3:3.[2]
- 7.Share 120 in the ratio 4:6.[2]
- 8.Share 12 in the ratio 5:1.[2]
- 9.Share 18 in the ratio 2:1.[3]
- 10.Share 24 in the ratio 1:7.[3]
- 11.Share 15 in the ratio 2:3.[3]
- 12.Share 54 in the ratio 5:4.[3]
Show answers and working
1. 1:1
HCF of 16 and 16 is 16. Divide both parts by it: 1:1.
2. 5:2
HCF of 20 and 8 is 4. Divide both parts by it: 5:2.
3. 3:5
HCF of 18 and 30 is 6. Divide both parts by it: 3:5.
4. 5:4
HCF of 20 and 16 is 4. Divide both parts by it: 5:4.
5. 8 and 24
Total parts: 1 + 3 = 4. One part: 32 ÷ 4 = 8. 1 × 8 = 8, 3 × 8 = 24.
6. 6 and 6
Total parts: 3 + 3 = 6. One part: 12 ÷ 6 = 2. 3 × 2 = 6, 3 × 2 = 6.
7. 48 and 72
Total parts: 4 + 6 = 10. One part: 120 ÷ 10 = 12. 4 × 12 = 48, 6 × 12 = 72.
8. 10 and 2
Total parts: 5 + 1 = 6. One part: 12 ÷ 6 = 2. 5 × 2 = 10, 1 × 2 = 2.
9. 12 and 6
Total parts: 2 + 1 = 3. One part: 18 ÷ 3 = 6. 2 × 6 = 12, 1 × 6 = 6.
10. 3 and 21
Total parts: 1 + 7 = 8. One part: 24 ÷ 8 = 3. 1 × 3 = 3, 7 × 3 = 21.
11. 6 and 9
Total parts: 2 + 3 = 5. One part: 15 ÷ 5 = 3. 2 × 3 = 6, 3 × 3 = 9.
12. 30 and 24
Total parts: 5 + 4 = 9. One part: 54 ÷ 9 = 6. 5 × 6 = 30, 4 × 6 = 24.
Worked examples
Simplify the ratio 50:20.
- HCF of 50 and 20 is 10.
- Divide both parts by it: 5:2.
- Answer: 5:2
Share 24 in the ratio 1:5.
- Total parts: 1 + 5 = 6.
- One part: 24 ÷ 6 = 4.
- 1 × 4 = 4, 5 × 4 = 20.
- Answer: 4 and 20
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
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 Tangent Ratio
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Learn — Meet the idea.
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Frequently asked
- Is this Grade 3 Introducing Tangent Ratio 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 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 Introducing Tangent Ratio?
- Move on to Working with Tangent Ratio, Tangent Ratio in Context, Sine Ratio, Cosine Ratio, which build directly on this idea.
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