Free Grade 3 Working with Sine Graph Flashcards
Free Grade 3 flashcards 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
Higher
35 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 8, Blue 10, Green 12, Yellow 6. In a pie chart, what angle does Yellow get?[1]
- 2.In a survey: Red 4, Blue 15, Green 5, Yellow 5. In a pie chart, what angle does Blue get?[1]
- 3.In a survey: Red 9, Blue 11, Green 3, Yellow 2. In a pie chart, what angle does Blue get?[1]
- 4.In a survey: Red 11, Blue 5, Green 4, Yellow 7. In a pie chart, what angle does Red get?[1]
- 5.In a survey: Red 11, Blue 6, Green 12, Yellow 7. In a pie chart, what angle does Yellow get?[2]
- 6.In a survey: Red 14, Blue 10, Green 5, Yellow 2. In a pie chart, what angle does Green get?[2]
- 7.In a survey: Red 13, Blue 13, Green 3, Yellow 14. In a pie chart, what angle does Green get?[2]
- 8.In a survey: Red 6, Blue 4, Green 7, Yellow 10. In a pie chart, what angle does Blue get?[2]
- 9.In a survey: Red 6, Blue 6, Green 14, Yellow 6. In a pie chart, what angle does Green get?[3]
- 10.In a survey: Red 7, Blue 4, Green 3, Yellow 4. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 15, Blue 4, Green 9, Yellow 9. In a pie chart, what angle does Yellow get?[3]
- 12.In a survey: Red 6, Blue 4, Green 4, Yellow 15. In a pie chart, what angle does Yellow get?[3]
Show answers and working
1. 60°
Total = 36. Yellow fraction = 6/36. 6/36 × 360° = 60°.
2. 186.2°
Total = 29. Blue fraction = 15/29. 15/29 × 360° = 186.2°.
3. 158.4°
Total = 25. Blue fraction = 11/25. 11/25 × 360° = 158.4°.
4. 146.7°
Total = 27. Red fraction = 11/27. 11/27 × 360° = 146.7°.
5. 70°
Total = 36. Yellow fraction = 7/36. 7/36 × 360° = 70°.
6. 58.1°
Total = 31. Green fraction = 5/31. 5/31 × 360° = 58.1°.
7. 25.1°
Total = 43. Green fraction = 3/43. 3/43 × 360° = 25.1°.
8. 53.3°
Total = 27. Blue fraction = 4/27. 4/27 × 360° = 53.3°.
9. 157.5°
Total = 32. Green fraction = 14/32. 14/32 × 360° = 157.5°.
10. 80°
Total = 18. Blue fraction = 4/18. 4/18 × 360° = 80°.
11. 87.6°
Total = 37. Yellow fraction = 9/37. 9/37 × 360° = 87.6°.
12. 186.2°
Total = 29. Yellow fraction = 15/29. 15/29 × 360° = 186.2°.
Worked examples
In a survey: Red 9, Blue 9, Green 15, Yellow 3. In a pie chart, what angle does Red get?
- Total = 36.
- Red fraction = 9/36.
- 9/36 × 360° = 90°.
- Answer: 90°
In a survey: Red 14, Blue 11, Green 7, Yellow 11. In a pie chart, what angle does Red get?
- Total = 43.
- Red fraction = 14/43.
- 14/43 × 360° = 117.2°.
- Answer: 117.2°
In a survey: Red 9, Blue 15, Green 14, Yellow 10. In a pie chart, what angle does Yellow get?
- Total = 48.
- Yellow fraction = 10/48.
- 10/48 × 360° = 75°.
- Answer: 75°
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 Working with Sine Graph
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Frequently asked
- Is this Grade 3 Working with 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 Introducing Sine Graph, 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 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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