Free Grade 3 Introducing Cosine Graph Worksheets
Free Grade 3 worksheets for Introducing Cosine 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 cosine graph
Explain introducing cosine graph accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing cosine graph
Calculate introducing cosine graph accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing cosine graph
Compare introducing cosine graph accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introducing cosine graph
Justify introducing cosine 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 Cosine 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 11, Blue 12, Green 9, Yellow 13. In a pie chart, what angle does Blue get?[1]
- 2.In a survey: Red 13, Blue 14, Green 3, Yellow 9. In a pie chart, what angle does Red get?[1]
- 3.In a survey: Red 10, Blue 3, Green 15, Yellow 8. In a pie chart, what angle does Blue get?[1]
- 4.In a survey: Red 9, Blue 10, Green 5, Yellow 13. In a pie chart, what angle does Red get?[1]
- 5.In a survey: Red 13, Blue 9, Green 12, Yellow 12. In a pie chart, what angle does Blue get?[2]
- 6.In a survey: Red 5, Blue 12, Green 5, Yellow 2. In a pie chart, what angle does Yellow get?[2]
- 7.In a survey: Red 4, Blue 12, Green 9, Yellow 6. In a pie chart, what angle does Yellow get?[2]
- 8.In a survey: Red 7, Blue 4, Green 13, Yellow 12. In a pie chart, what angle does Yellow get?[2]
- 9.In a survey: Red 14, Blue 6, Green 2, Yellow 14. In a pie chart, what angle does Blue get?[3]
- 10.In a survey: Red 7, Blue 13, Green 6, Yellow 8. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 9, Blue 3, Green 14, Yellow 11. In a pie chart, what angle does Red get?[3]
- 12.In a survey: Red 10, Blue 6, Green 13, Yellow 15. In a pie chart, what angle does Yellow get?[3]
Show answers and working
1. 96°
Total = 45. Blue fraction = 12/45. 12/45 × 360° = 96°.
2. 120°
Total = 39. Red fraction = 13/39. 13/39 × 360° = 120°.
3. 30°
Total = 36. Blue fraction = 3/36. 3/36 × 360° = 30°.
4. 87.6°
Total = 37. Red fraction = 9/37. 9/37 × 360° = 87.6°.
5. 70.4°
Total = 46. Blue fraction = 9/46. 9/46 × 360° = 70.4°.
6. 30°
Total = 24. Yellow fraction = 2/24. 2/24 × 360° = 30°.
7. 69.7°
Total = 31. Yellow fraction = 6/31. 6/31 × 360° = 69.7°.
8. 120°
Total = 36. Yellow fraction = 12/36. 12/36 × 360° = 120°.
9. 60°
Total = 36. Blue fraction = 6/36. 6/36 × 360° = 60°.
10. 137.6°
Total = 34. Blue fraction = 13/34. 13/34 × 360° = 137.6°.
11. 87.6°
Total = 37. Red fraction = 9/37. 9/37 × 360° = 87.6°.
12. 122.7°
Total = 44. Yellow fraction = 15/44. 15/44 × 360° = 122.7°.
Worked examples
In a survey: Red 2, Blue 6, Green 15, Yellow 6. In a pie chart, what angle does Red get?
- Total = 29.
- Red fraction = 2/29.
- 2/29 × 360° = 24.8°.
- Answer: 24.8°
In a survey: Red 7, Blue 8, Green 10, Yellow 14. In a pie chart, what angle does Red get?
- Total = 39.
- Red fraction = 7/39.
- 7/39 × 360° = 64.6°.
- Answer: 64.6°
In a survey: Red 15, Blue 8, Green 14, Yellow 9. In a pie chart, what angle does Yellow get?
- Total = 46.
- Yellow fraction = 9/46.
- 9/46 × 360° = 70.4°.
- Answer: 70.4°
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 Cosine Graph
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Frequently asked
- Is this Grade 3 Introducing Cosine 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 Sine Graph. 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 Cosine Graph?
- Move on to Working with Cosine Graph, Cosine Graph in Context, Sine Graph, Tangent Graph, which build directly on this idea.
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