Free Grade 3 Introducing Sine Graph Quizzes
Free Grade 3 quizzes for Introducing 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
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain introducing sine graph
Explain introducing sine graph accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing sine graph
Calculate introducing sine graph accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing sine graph
Compare introducing sine graph accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introducing sine graph
Justify introducing 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 Introducing 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 4, Blue 3, Green 11, Yellow 11. In a pie chart, what angle does Blue get?[1]
- 2.In a survey: Red 4, Blue 7, Green 7, Yellow 13. In a pie chart, what angle does Red get?[1]
- 3.In a survey: Red 4, Blue 5, Green 7, Yellow 10. In a pie chart, what angle does Red get?[1]
- 4.In a survey: Red 8, Blue 11, Green 7, Yellow 11. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 15, Blue 11, Green 10, Yellow 3. In a pie chart, what angle does Green get?[2]
- 6.In a survey: Red 6, Blue 10, Green 5, Yellow 10. In a pie chart, what angle does Yellow get?[2]
- 7.In a survey: Red 4, Blue 7, Green 7, Yellow 5. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 4, Blue 15, Green 8, Yellow 14. In a pie chart, what angle does Blue get?[2]
- 9.In a survey: Red 11, Blue 11, Green 9, Yellow 10. In a pie chart, what angle does Red get?[3]
- 10.In a survey: Red 8, Blue 10, Green 2, Yellow 12. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 3, Blue 13, Green 6, Yellow 12. In a pie chart, what angle does Yellow get?[3]
- 12.In a survey: Red 7, Blue 10, Green 11, Yellow 3. In a pie chart, what angle does Red get?[3]
Show answers and working
1. 37.2°
Total = 29. Blue fraction = 3/29. 3/29 × 360° = 37.2°.
2. 46.5°
Total = 31. Red fraction = 4/31. 4/31 × 360° = 46.5°.
3. 55.4°
Total = 26. Red fraction = 4/26. 4/26 × 360° = 55.4°.
4. 107°
Total = 37. Blue fraction = 11/37. 11/37 × 360° = 107°.
5. 92.3°
Total = 39. Green fraction = 10/39. 10/39 × 360° = 92.3°.
6. 116.1°
Total = 31. Yellow fraction = 10/31. 10/31 × 360° = 116.1°.
7. 109.6°
Total = 23. Blue fraction = 7/23. 7/23 × 360° = 109.6°.
8. 131.7°
Total = 41. Blue fraction = 15/41. 15/41 × 360° = 131.7°.
9. 96.6°
Total = 41. Red fraction = 11/41. 11/41 × 360° = 96.6°.
10. 112.5°
Total = 32. Blue fraction = 10/32. 10/32 × 360° = 112.5°.
11. 127.1°
Total = 34. Yellow fraction = 12/34. 12/34 × 360° = 127.1°.
12. 81.3°
Total = 31. Red fraction = 7/31. 7/31 × 360° = 81.3°.
Worked examples
In a survey: Red 6, Blue 8, Green 15, Yellow 7. In a pie chart, what angle does Red get?
- Total = 36.
- Red fraction = 6/36.
- 6/36 × 360° = 60°.
- Answer: 60°
In a survey: Red 15, Blue 10, Green 3, Yellow 11. In a pie chart, what angle does Green get?
- Total = 39.
- Green fraction = 3/39.
- 3/39 × 360° = 27.7°.
- Answer: 27.7°
In a survey: Red 3, Blue 8, Green 14, Yellow 2. In a pie chart, what angle does Red get?
- Total = 27.
- Red fraction = 3/27.
- 3/27 × 360° = 40°.
- Answer: 40°
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 Introducing Sine Graph
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Frequently asked
- Is this Grade 3 Introducing Sine Graph quiz really free?
- Yes. Every quizzes 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 quiz 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 Introducing Sine Graph?
- Move on to Working with Sine Graph, Sine Graph in Context, Cosine Graph, Tangent Graph, which build directly on this idea.
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