Free Grade 3 Cosine Graph in Context Worksheets
Free Grade 3 worksheets for Cosine Graph in Context: 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.
- RememberIdentify cosine graph in context
Identify cosine graph in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain cosine graph in context
Explain cosine graph in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate cosine graph in context
Calculate cosine graph in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare cosine graph in context
Compare cosine graph in context 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 Cosine Graph in Context 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 13, Blue 10, Green 13, Yellow 5. In a pie chart, what angle does Yellow get?[1]
- 2.In a survey: Red 3, Blue 2, Green 9, Yellow 14. In a pie chart, what angle does Blue get?[1]
- 3.In a survey: Red 2, Blue 13, Green 11, Yellow 5. In a pie chart, what angle does Green get?[1]
- 4.In a survey: Red 2, Blue 14, Green 14, Yellow 5. In a pie chart, what angle does Yellow get?[1]
- 5.In a survey: Red 5, Blue 2, Green 10, Yellow 6. In a pie chart, what angle does Blue get?[2]
- 6.In a survey: Red 3, Blue 8, Green 8, Yellow 3. In a pie chart, what angle does Yellow get?[2]
- 7.In a survey: Red 9, Blue 2, Green 5, Yellow 6. In a pie chart, what angle does Yellow get?[2]
- 8.In a survey: Red 11, Blue 15, Green 5, Yellow 14. In a pie chart, what angle does Red get?[2]
- 9.In a survey: Red 5, Blue 9, Green 7, Yellow 7. In a pie chart, what angle does Green get?[3]
- 10.In a survey: Red 3, Blue 13, Green 7, Yellow 15. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 6, Blue 13, Green 9, Yellow 8. In a pie chart, what angle does Yellow get?[3]
- 12.In a survey: Red 11, Blue 10, Green 12, Yellow 12. In a pie chart, what angle does Yellow get?[3]
Show answers and working
1. 43.9°
Total = 41. Yellow fraction = 5/41. 5/41 × 360° = 43.9°.
2. 25.7°
Total = 28. Blue fraction = 2/28. 2/28 × 360° = 25.7°.
3. 127.7°
Total = 31. Green fraction = 11/31. 11/31 × 360° = 127.7°.
4. 51.4°
Total = 35. Yellow fraction = 5/35. 5/35 × 360° = 51.4°.
5. 31.3°
Total = 23. Blue fraction = 2/23. 2/23 × 360° = 31.3°.
6. 49.1°
Total = 22. Yellow fraction = 3/22. 3/22 × 360° = 49.1°.
7. 98.2°
Total = 22. Yellow fraction = 6/22. 6/22 × 360° = 98.2°.
8. 88°
Total = 45. Red fraction = 11/45. 11/45 × 360° = 88°.
9. 90°
Total = 28. Green fraction = 7/28. 7/28 × 360° = 90°.
10. 123.2°
Total = 38. Blue fraction = 13/38. 13/38 × 360° = 123.2°.
11. 80°
Total = 36. Yellow fraction = 8/36. 8/36 × 360° = 80°.
12. 96°
Total = 45. Yellow fraction = 12/45. 12/45 × 360° = 96°.
Worked examples
In a survey: Red 7, Blue 15, Green 7, Yellow 2. In a pie chart, what angle does Blue get?
- Total = 31.
- Blue fraction = 15/31.
- 15/31 × 360° = 174.2°.
- Answer: 174.2°
In a survey: Red 9, Blue 10, Green 11, Yellow 8. In a pie chart, what angle does Green get?
- Total = 38.
- Green fraction = 11/38.
- 11/38 × 360° = 104.2°.
- Answer: 104.2°
In a survey: Red 14, Blue 12, Green 15, Yellow 12. In a pie chart, what angle does Red get?
- Total = 53.
- Red fraction = 14/53.
- 14/53 × 360° = 95.1°.
- Answer: 95.1°
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.
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Frequently asked
- Is this Grade 3 Cosine Graph in Context 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 Working with Cosine Graph, Introducing Cosine Graph, 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 Cosine Graph in Context?
- Move on to Sine Graph, Tangent Graph, Trigonometric Identities, which build directly on this idea.
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