Free Grade 3 Sine Graph in Context Worksheets
Free Grade 3 worksheets for Sine 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
Higher
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify sine graph in context
Identify sine graph in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain sine graph in context
Explain sine graph in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate sine graph in context
Calculate sine graph in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare sine graph in context
Compare sine 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 Sine 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 3, Blue 12, Green 12, Yellow 2. In a pie chart, what angle does Blue get?[1]
- 2.In a survey: Red 10, Blue 11, Green 6, Yellow 11. In a pie chart, what angle does Blue get?[1]
- 3.In a survey: Red 4, Blue 14, Green 4, Yellow 13. In a pie chart, what angle does Green get?[1]
- 4.In a survey: Red 5, Blue 3, Green 10, Yellow 10. In a pie chart, what angle does Green get?[1]
- 5.In a survey: Red 7, Blue 6, Green 5, Yellow 7. In a pie chart, what angle does Green get?[2]
- 6.In a survey: Red 4, Blue 11, Green 6, Yellow 4. In a pie chart, what angle does Yellow get?[2]
- 7.In a survey: Red 11, Blue 8, Green 10, Yellow 14. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 3, Blue 14, Green 10, Yellow 14. In a pie chart, what angle does Blue get?[2]
- 9.In a survey: Red 3, Blue 3, Green 12, Yellow 3. In a pie chart, what angle does Red get?[3]
- 10.In a survey: Red 13, Blue 2, Green 3, Yellow 11. In a pie chart, what angle does Red get?[3]
- 11.In a survey: Red 8, Blue 4, Green 3, Yellow 8. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 12, Blue 6, Green 3, Yellow 14. In a pie chart, what angle does Yellow get?[3]
Show answers and working
1. 149°
Total = 29. Blue fraction = 12/29. 12/29 × 360° = 149°.
2. 104.2°
Total = 38. Blue fraction = 11/38. 11/38 × 360° = 104.2°.
3. 41.1°
Total = 35. Green fraction = 4/35. 4/35 × 360° = 41.1°.
4. 128.6°
Total = 28. Green fraction = 10/28. 10/28 × 360° = 128.6°.
5. 72°
Total = 25. Green fraction = 5/25. 5/25 × 360° = 72°.
6. 57.6°
Total = 25. Yellow fraction = 4/25. 4/25 × 360° = 57.6°.
7. 67°
Total = 43. Blue fraction = 8/43. 8/43 × 360° = 67°.
8. 122.9°
Total = 41. Blue fraction = 14/41. 14/41 × 360° = 122.9°.
9. 51.4°
Total = 21. Red fraction = 3/21. 3/21 × 360° = 51.4°.
10. 161.4°
Total = 29. Red fraction = 13/29. 13/29 × 360° = 161.4°.
11. 47°
Total = 23. Green fraction = 3/23. 3/23 × 360° = 47°.
12. 144°
Total = 35. Yellow fraction = 14/35. 14/35 × 360° = 144°.
Worked examples
In a survey: Red 6, Blue 5, Green 14, Yellow 12. In a pie chart, what angle does Red get?
- Total = 37.
- Red fraction = 6/37.
- 6/37 × 360° = 58.4°.
- Answer: 58.4°
In a survey: Red 15, Blue 5, Green 4, Yellow 9. In a pie chart, what angle does Blue get?
- Total = 33.
- Blue fraction = 5/33.
- 5/33 × 360° = 54.5°.
- Answer: 54.5°
In a survey: Red 11, Blue 12, Green 12, Yellow 7. In a pie chart, what angle does Green get?
- Total = 42.
- Green fraction = 12/42.
- 12/42 × 360° = 102.9°.
- Answer: 102.9°
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 Sine 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 Sine Graph, Introducing Sine Graph, Non-right-angled Trigonometry. 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 Sine Graph in Context?
- Move on to Cosine Graph, Tangent Graph, Trigonometric Identities, which build directly on this idea.
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