Free Grade 3 Cosine Graph in Context Flashcards
Free Grade 3 flashcards 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
Stretch
30 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 9, Blue 2, Green 10, Yellow 13. In a pie chart, what angle does Red get?[1]
- 2.In a survey: Red 13, Blue 10, Green 15, Yellow 7. In a pie chart, what angle does Yellow get?[1]
- 3.In a survey: Red 11, Blue 15, Green 9, Yellow 8. In a pie chart, what angle does Green get?[1]
- 4.In a survey: Red 5, Blue 9, Green 15, Yellow 7. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 13, Blue 11, Green 10, Yellow 7. In a pie chart, what angle does Red get?[2]
- 6.In a survey: Red 15, Blue 12, Green 14, Yellow 14. In a pie chart, what angle does Red get?[2]
- 7.In a survey: Red 13, Blue 4, Green 11, Yellow 4. In a pie chart, what angle does Yellow get?[2]
- 8.In a survey: Red 15, Blue 6, Green 7, Yellow 14. In a pie chart, what angle does Green get?[2]
- 9.In a survey: Red 4, Blue 9, Green 5, Yellow 5. In a pie chart, what angle does Red get?[3]
- 10.In a survey: Red 4, Blue 5, Green 6, Yellow 5. In a pie chart, what angle does Green get?[3]
- 11.In a survey: Red 3, Blue 8, Green 14, Yellow 10. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 3, Blue 14, Green 4, Yellow 4. In a pie chart, what angle does Green get?[3]
Show answers and working
1. 95.3°
Total = 34. Red fraction = 9/34. 9/34 × 360° = 95.3°.
2. 56°
Total = 45. Yellow fraction = 7/45. 7/45 × 360° = 56°.
3. 75.3°
Total = 43. Green fraction = 9/43. 9/43 × 360° = 75.3°.
4. 90°
Total = 36. Blue fraction = 9/36. 9/36 × 360° = 90°.
5. 114.1°
Total = 41. Red fraction = 13/41. 13/41 × 360° = 114.1°.
6. 98.2°
Total = 55. Red fraction = 15/55. 15/55 × 360° = 98.2°.
7. 45°
Total = 32. Yellow fraction = 4/32. 4/32 × 360° = 45°.
8. 60°
Total = 42. Green fraction = 7/42. 7/42 × 360° = 60°.
9. 62.6°
Total = 23. Red fraction = 4/23. 4/23 × 360° = 62.6°.
10. 108°
Total = 20. Green fraction = 6/20. 6/20 × 360° = 108°.
11. 144°
Total = 35. Green fraction = 14/35. 14/35 × 360° = 144°.
12. 57.6°
Total = 25. Green fraction = 4/25. 4/25 × 360° = 57.6°.
Worked examples
In a survey: Red 8, Blue 9, Green 10, Yellow 2. In a pie chart, what angle does Yellow get?
- Total = 29.
- Yellow fraction = 2/29.
- 2/29 × 360° = 24.8°.
- Answer: 24.8°
In a survey: Red 12, Blue 5, Green 2, Yellow 11. In a pie chart, what angle does Blue get?
- Total = 30.
- Blue fraction = 5/30.
- 5/30 × 360° = 60°.
- Answer: 60°
In a survey: Red 11, Blue 9, Green 3, Yellow 4. In a pie chart, what angle does Yellow get?
- Total = 27.
- Yellow fraction = 4/27.
- 4/27 × 360° = 53.3°.
- Answer: 53.3°
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 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 Working with Cosine Graph, Introducing Cosine Graph, Sine Graph. 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 Cosine Graph in Context?
- Move on to Sine Graph, Tangent Graph, Trigonometric Identities, which build directly on this idea.
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