Free Grade 3 Introducing Sine Graph Worksheets
Free Grade 3 worksheets 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
Core
25 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 4, Green 9, Yellow 7. In a pie chart, what angle does Red get?[1]
- 2.In a survey: Red 2, Blue 14, Green 3, Yellow 10. In a pie chart, what angle does Green get?[1]
- 3.In a survey: Red 2, Blue 7, Green 11, Yellow 5. In a pie chart, what angle does Red get?[1]
- 4.In a survey: Red 11, Blue 7, Green 4, Yellow 13. In a pie chart, what angle does Green get?[1]
- 5.In a survey: Red 9, Blue 5, Green 2, Yellow 3. In a pie chart, what angle does Blue get?[2]
- 6.In a survey: Red 14, Blue 15, Green 10, Yellow 2. In a pie chart, what angle does Red get?[2]
- 7.In a survey: Red 8, Blue 14, Green 9, Yellow 13. In a pie chart, what angle does Red get?[2]
- 8.In a survey: Red 3, Blue 5, Green 14, Yellow 12. In a pie chart, what angle does Yellow get?[2]
- 9.In a survey: Red 3, Blue 7, Green 12, Yellow 9. In a pie chart, what angle does Blue get?[3]
- 10.In a survey: Red 4, Blue 8, Green 11, Yellow 15. In a pie chart, what angle does Red get?[3]
- 11.In a survey: Red 9, Blue 5, Green 14, Yellow 10. In a pie chart, what angle does Red get?[3]
- 12.In a survey: Red 4, Blue 11, Green 6, Yellow 2. In a pie chart, what angle does Red get?[3]
Show answers and working
1. 60°
Total = 24. Red fraction = 4/24. 4/24 × 360° = 60°.
2. 37.2°
Total = 29. Green fraction = 3/29. 3/29 × 360° = 37.2°.
3. 28.8°
Total = 25. Red fraction = 2/25. 2/25 × 360° = 28.8°.
4. 41.1°
Total = 35. Green fraction = 4/35. 4/35 × 360° = 41.1°.
5. 94.7°
Total = 19. Blue fraction = 5/19. 5/19 × 360° = 94.7°.
6. 122.9°
Total = 41. Red fraction = 14/41. 14/41 × 360° = 122.9°.
7. 65.5°
Total = 44. Red fraction = 8/44. 8/44 × 360° = 65.5°.
8. 127.1°
Total = 34. Yellow fraction = 12/34. 12/34 × 360° = 127.1°.
9. 81.3°
Total = 31. Blue fraction = 7/31. 7/31 × 360° = 81.3°.
10. 37.9°
Total = 38. Red fraction = 4/38. 4/38 × 360° = 37.9°.
11. 85.3°
Total = 38. Red fraction = 9/38. 9/38 × 360° = 85.3°.
12. 62.6°
Total = 23. Red fraction = 4/23. 4/23 × 360° = 62.6°.
Worked examples
In a survey: Red 13, Blue 14, Green 7, Yellow 11. In a pie chart, what angle does Green get?
- Total = 45.
- Green fraction = 7/45.
- 7/45 × 360° = 56°.
- Answer: 56°
In a survey: Red 6, Blue 2, Green 11, Yellow 7. In a pie chart, what angle does Red get?
- Total = 26.
- Red fraction = 6/26.
- 6/26 × 360° = 83.1°.
- Answer: 83.1°
In a survey: Red 4, Blue 7, Green 13, Yellow 6. In a pie chart, what angle does Green get?
- Total = 30.
- Green fraction = 13/30.
- 13/30 × 360° = 156°.
- Answer: 156°
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
One concept, one ecosystem — all of it free.
Goes deeper
The entities below this one, each with the same complete free resource set.
Sibling concepts
Related concepts
Lateral links, including across subjects.
Next topics
All free formats for this concept
Every kind below is a real page, generated from this entity.
Learn — Meet the idea.
Practice — Build fluency.
Revise — Keep it in memory.
Assess — Prove mastery.
Apply — Use it in context.
Teach — Deliver it to a class.
Frequently asked
- Is this Grade 3 Introducing 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 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 Introducing Sine Graph?
- Move on to Working with Sine Graph, Sine Graph in Context, Cosine Graph, Tangent Graph, which build directly on this idea.
Related resources
Stuck on Introducing Sine Graph? The AI Tutor already knows this page, its prerequisites and its common mistakes.
Open the free AI Tutor