Free Grade 3 Tangent Graph in Context Worksheets
Free Grade 3 worksheets for Tangent Graph in Context: 12 real questions with a full answer key and worked solutions. Charts show data visually. In a pie chart, each category's angle is its fraction of the total multiplied by 360°.
Free
Foundation
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify tangent graph in context
Identify tangent graph in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain tangent graph in context
Explain tangent graph in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate tangent graph in context
Calculate tangent graph in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare tangent graph in context
Compare tangent graph 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 Graph in Context works
Charts show data visually. In a pie chart, each category's angle is its fraction of the total multiplied by 360°.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.In a survey: Red 9, Blue 5, Green 8, Yellow 3. In a pie chart, what angle does Blue get?[1]
- 2.In a survey: Red 11, Blue 2, Green 3, Yellow 7. In a pie chart, what angle does Red get?[1]
- 3.In a survey: Red 9, Blue 12, Green 8, Yellow 15. In a pie chart, what angle does Yellow get?[1]
- 4.In a survey: Red 10, Blue 6, Green 4, Yellow 12. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 2, Blue 13, Green 12, Yellow 3. In a pie chart, what angle does Red get?[2]
- 6.In a survey: Red 13, Blue 7, Green 10, Yellow 13. In a pie chart, what angle does Green get?[2]
- 7.In a survey: Red 7, Blue 8, Green 10, Yellow 4. In a pie chart, what angle does Green get?[2]
- 8.In a survey: Red 6, Blue 4, Green 13, Yellow 2. In a pie chart, what angle does Red get?[2]
- 9.In a survey: Red 4, Blue 12, Green 3, Yellow 10. In a pie chart, what angle does Red get?[3]
- 10.In a survey: Red 9, Blue 3, Green 13, Yellow 12. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 2, Blue 13, Green 3, Yellow 14. In a pie chart, what angle does Red get?[3]
- 12.In a survey: Red 7, Blue 5, Green 15, Yellow 12. In a pie chart, what angle does Green get?[3]
Show answers and working
1. 72°
Total = 25. Blue fraction = 5/25. 5/25 × 360° = 72°.
2. 172.2°
Total = 23. Red fraction = 11/23. 11/23 × 360° = 172.2°.
3. 122.7°
Total = 44. Yellow fraction = 15/44. 15/44 × 360° = 122.7°.
4. 67.5°
Total = 32. Blue fraction = 6/32. 6/32 × 360° = 67.5°.
5. 24°
Total = 30. Red fraction = 2/30. 2/30 × 360° = 24°.
6. 83.7°
Total = 43. Green fraction = 10/43. 10/43 × 360° = 83.7°.
7. 124.1°
Total = 29. Green fraction = 10/29. 10/29 × 360° = 124.1°.
8. 86.4°
Total = 25. Red fraction = 6/25. 6/25 × 360° = 86.4°.
9. 49.7°
Total = 29. Red fraction = 4/29. 4/29 × 360° = 49.7°.
10. 29.2°
Total = 37. Blue fraction = 3/37. 3/37 × 360° = 29.2°.
11. 22.5°
Total = 32. Red fraction = 2/32. 2/32 × 360° = 22.5°.
12. 138.5°
Total = 39. Green fraction = 15/39. 15/39 × 360° = 138.5°.
Worked examples
In a survey: Red 3, Blue 9, Green 8, Yellow 8. In a pie chart, what angle does Red get?
- Total = 28.
- Red fraction = 3/28.
- 3/28 × 360° = 38.6°.
- Answer: 38.6°
In a survey: Red 9, Blue 13, Green 6, Yellow 2. In a pie chart, what angle does Green get?
- Total = 30.
- Green fraction = 6/30.
- 6/30 × 360° = 72°.
- Answer: 72°
In a survey: Red 14, Blue 11, Green 11, Yellow 14. In a pie chart, what angle does Green get?
- Total = 50.
- Green fraction = 11/50.
- 11/50 × 360° = 79.2°.
- Answer: 79.2°
Interactive practice
Free, no account required — answer on screen or print it.
Common mistakes
What learners typically get wrong, and how to fix it.
Uses 100 instead of 360 for pie-chart angles.
Correction: A full circle is 360°.
Forgets to find the total first.
Correction: Add all frequencies before working out fractions.
Teacher tips
- · Have pupils check that all angles add to 360°.
Parent tips
- · Look at charts in the news and ask what they show.
Real-life applications
- · News infographics, survey results.
Assessment objectives
How mastery is evidenced, and which standards it maps to.
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Frequently asked
- Is this Grade 3 Tangent Graph 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 Graph, Introducing Tangent Graph, Cosine Graph. 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 Graph in Context?
- Move on to Sine Graph, Cosine Graph, Trigonometric Identities, which build directly on this idea.
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