Free Grade 3 Working with Sine Graph Worksheets
Free Grade 3 worksheets for Working with Sine Graph: 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
Stretch
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with sine graph
Explain working with sine graph accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with sine graph
Calculate working with sine graph accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with sine graph
Compare working with sine graph accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with sine graph
Justify working with sine graph 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 Working with Sine Graph 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 14, Blue 10, Green 9, Yellow 5. In a pie chart, what angle does Yellow get?[1]
- 2.In a survey: Red 11, Blue 4, Green 14, Yellow 8. In a pie chart, what angle does Green get?[1]
- 3.In a survey: Red 13, Blue 2, Green 10, Yellow 9. In a pie chart, what angle does Yellow get?[1]
- 4.In a survey: Red 14, Blue 3, Green 7, Yellow 12. In a pie chart, what angle does Yellow get?[1]
- 5.In a survey: Red 2, Blue 7, Green 4, Yellow 9. In a pie chart, what angle does Blue get?[2]
- 6.In a survey: Red 6, Blue 3, Green 10, Yellow 9. In a pie chart, what angle does Red get?[2]
- 7.In a survey: Red 13, Blue 8, Green 4, Yellow 3. In a pie chart, what angle does Green get?[2]
- 8.In a survey: Red 10, Blue 14, Green 14, Yellow 5. In a pie chart, what angle does Blue get?[2]
- 9.In a survey: Red 12, Blue 13, Green 8, Yellow 15. In a pie chart, what angle does Red get?[3]
- 10.In a survey: Red 11, Blue 3, Green 11, Yellow 7. In a pie chart, what angle does Red get?[3]
- 11.In a survey: Red 10, Blue 10, Green 3, Yellow 11. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 5, Blue 3, Green 10, Yellow 6. In a pie chart, what angle does Red get?[3]
Show answers and working
1. 47.4°
Total = 38. Yellow fraction = 5/38. 5/38 × 360° = 47.4°.
2. 136.2°
Total = 37. Green fraction = 14/37. 14/37 × 360° = 136.2°.
3. 95.3°
Total = 34. Yellow fraction = 9/34. 9/34 × 360° = 95.3°.
4. 120°
Total = 36. Yellow fraction = 12/36. 12/36 × 360° = 120°.
5. 114.5°
Total = 22. Blue fraction = 7/22. 7/22 × 360° = 114.5°.
6. 77.1°
Total = 28. Red fraction = 6/28. 6/28 × 360° = 77.1°.
7. 51.4°
Total = 28. Green fraction = 4/28. 4/28 × 360° = 51.4°.
8. 117.2°
Total = 43. Blue fraction = 14/43. 14/43 × 360° = 117.2°.
9. 90°
Total = 48. Red fraction = 12/48. 12/48 × 360° = 90°.
10. 123.8°
Total = 32. Red fraction = 11/32. 11/32 × 360° = 123.8°.
11. 31.8°
Total = 34. Green fraction = 3/34. 3/34 × 360° = 31.8°.
12. 75°
Total = 24. Red fraction = 5/24. 5/24 × 360° = 75°.
Worked examples
In a survey: Red 9, Blue 3, Green 4, Yellow 8. In a pie chart, what angle does Blue get?
- Total = 24.
- Blue fraction = 3/24.
- 3/24 × 360° = 45°.
- Answer: 45°
In a survey: Red 8, Blue 7, Green 6, Yellow 5. In a pie chart, what angle does Blue get?
- Total = 26.
- Blue fraction = 7/26.
- 7/26 × 360° = 96.9°.
- Answer: 96.9°
In a survey: Red 11, Blue 4, Green 6, Yellow 13. In a pie chart, what angle does Red get?
- Total = 34.
- Red fraction = 11/34.
- 11/34 × 360° = 116.5°.
- Answer: 116.5°
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 Working with Sine Graph 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 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 Working with Sine Graph?
- Move on to Sine Graph in Context, Cosine Graph, Tangent Graph, Trigonometric Identities, which build directly on this idea.
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