Free Grade 3 Sine Graph Flashcards
Free Grade 3 flashcards for 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
Foundation
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain sine graph
Explain sine graph accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate sine graph
Calculate sine graph accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare sine graph
Compare sine graph accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify sine graph
Justify 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 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 2, Blue 3, Green 2, Yellow 15. In a pie chart, what angle does Blue get?[1]
- 2.In a survey: Red 8, Blue 10, Green 4, Yellow 15. In a pie chart, what angle does Red get?[1]
- 3.In a survey: Red 4, Blue 8, Green 13, Yellow 9. In a pie chart, what angle does Blue get?[1]
- 4.In a survey: Red 6, Blue 6, Green 11, Yellow 5. In a pie chart, what angle does Green get?[1]
- 5.In a survey: Red 7, Blue 8, Green 15, Yellow 14. In a pie chart, what angle does Green get?[2]
- 6.In a survey: Red 5, Blue 8, Green 3, Yellow 13. In a pie chart, what angle does Yellow get?[2]
- 7.In a survey: Red 6, Blue 15, Green 2, Yellow 7. In a pie chart, what angle does Red get?[2]
- 8.In a survey: Red 10, Blue 9, Green 15, Yellow 15. In a pie chart, what angle does Green get?[2]
- 9.In a survey: Red 4, Blue 6, Green 4, Yellow 3. In a pie chart, what angle does Yellow get?[3]
- 10.In a survey: Red 8, Blue 2, Green 2, Yellow 15. In a pie chart, what angle does Green get?[3]
- 11.In a survey: Red 12, Blue 5, Green 11, Yellow 12. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 9, Blue 2, Green 15, Yellow 9. In a pie chart, what angle does Red get?[3]
Show answers and working
1. 49.1°
Total = 22. Blue fraction = 3/22. 3/22 × 360° = 49.1°.
2. 77.8°
Total = 37. Red fraction = 8/37. 8/37 × 360° = 77.8°.
3. 84.7°
Total = 34. Blue fraction = 8/34. 8/34 × 360° = 84.7°.
4. 141.4°
Total = 28. Green fraction = 11/28. 11/28 × 360° = 141.4°.
5. 122.7°
Total = 44. Green fraction = 15/44. 15/44 × 360° = 122.7°.
6. 161.4°
Total = 29. Yellow fraction = 13/29. 13/29 × 360° = 161.4°.
7. 72°
Total = 30. Red fraction = 6/30. 6/30 × 360° = 72°.
8. 110.2°
Total = 49. Green fraction = 15/49. 15/49 × 360° = 110.2°.
9. 63.5°
Total = 17. Yellow fraction = 3/17. 3/17 × 360° = 63.5°.
10. 26.7°
Total = 27. Green fraction = 2/27. 2/27 × 360° = 26.7°.
11. 99°
Total = 40. Green fraction = 11/40. 11/40 × 360° = 99°.
12. 92.6°
Total = 35. Red fraction = 9/35. 9/35 × 360° = 92.6°.
Worked examples
In a survey: Red 7, Blue 9, Green 14, Yellow 13. In a pie chart, what angle does Yellow get?
- Total = 43.
- Yellow fraction = 13/43.
- 13/43 × 360° = 108.8°.
- Answer: 108.8°
In a survey: Red 8, Blue 8, Green 2, Yellow 5. In a pie chart, what angle does Red get?
- Total = 23.
- Red fraction = 8/23.
- 8/23 × 360° = 125.2°.
- Answer: 125.2°
In a survey: Red 8, Blue 6, Green 4, Yellow 6. In a pie chart, what angle does Green get?
- Total = 24.
- Green fraction = 4/24.
- 4/24 × 360° = 60°.
- Answer: 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.
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.
Every free resource for Sine Graph
One concept, one ecosystem — all of it free.
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Learn — Meet the idea.
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Frequently asked
- Is this Grade 3 Sine Graph flashcards really free?
- Yes. Every flashcards 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 Non-right-angled Trigonometry. Each one has its own free lesson, worksheet and quiz.
- How is the flashcards 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?
- Move on to Cosine Graph, Tangent Graph, Trigonometric Identities, Right-angled Trigonometry, which build directly on this idea.
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