Free Grade 3 Working with Cosine Graph Flashcards
Free Grade 3 flashcards for Working with 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
Higher
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with cosine graph
Explain working with cosine graph accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with cosine graph
Calculate working with cosine graph accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with cosine graph
Compare working with cosine graph accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with cosine graph
Justify working with 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 Working with 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 8, Green 13, Yellow 9. In a pie chart, what angle does Blue get?[1]
- 2.In a survey: Red 7, Blue 7, Green 6, Yellow 11. In a pie chart, what angle does Green get?[1]
- 3.In a survey: Red 7, Blue 10, Green 10, Yellow 6. In a pie chart, what angle does Green get?[1]
- 4.In a survey: Red 5, Blue 15, Green 11, Yellow 13. In a pie chart, what angle does Red get?[1]
- 5.In a survey: Red 15, Blue 4, Green 10, Yellow 2. In a pie chart, what angle does Red get?[2]
- 6.In a survey: Red 15, Blue 15, Green 10, Yellow 7. In a pie chart, what angle does Yellow get?[2]
- 7.In a survey: Red 7, Blue 4, Green 7, Yellow 11. In a pie chart, what angle does Yellow get?[2]
- 8.In a survey: Red 2, Blue 8, Green 13, Yellow 5. In a pie chart, what angle does Yellow get?[2]
- 9.In a survey: Red 13, Blue 5, Green 12, Yellow 6. In a pie chart, what angle does Red get?[3]
- 10.In a survey: Red 8, Blue 9, Green 8, Yellow 6. In a pie chart, what angle does Red get?[3]
- 11.In a survey: Red 6, Blue 11, Green 9, Yellow 10. In a pie chart, what angle does Red get?[3]
- 12.In a survey: Red 6, Blue 12, Green 5, Yellow 9. In a pie chart, what angle does Red get?[3]
Show answers and working
1. 70.2°
Total = 41. Blue fraction = 8/41. 8/41 × 360° = 70.2°.
2. 69.7°
Total = 31. Green fraction = 6/31. 6/31 × 360° = 69.7°.
3. 109.1°
Total = 33. Green fraction = 10/33. 10/33 × 360° = 109.1°.
4. 40.9°
Total = 44. Red fraction = 5/44. 5/44 × 360° = 40.9°.
5. 174.2°
Total = 31. Red fraction = 15/31. 15/31 × 360° = 174.2°.
6. 53.6°
Total = 47. Yellow fraction = 7/47. 7/47 × 360° = 53.6°.
7. 136.6°
Total = 29. Yellow fraction = 11/29. 11/29 × 360° = 136.6°.
8. 64.3°
Total = 28. Yellow fraction = 5/28. 5/28 × 360° = 64.3°.
9. 130°
Total = 36. Red fraction = 13/36. 13/36 × 360° = 130°.
10. 92.9°
Total = 31. Red fraction = 8/31. 8/31 × 360° = 92.9°.
11. 60°
Total = 36. Red fraction = 6/36. 6/36 × 360° = 60°.
12. 67.5°
Total = 32. Red fraction = 6/32. 6/32 × 360° = 67.5°.
Worked examples
In a survey: Red 3, Blue 14, Green 10, Yellow 8. In a pie chart, what angle does Red get?
- Total = 35.
- Red fraction = 3/35.
- 3/35 × 360° = 30.9°.
- Answer: 30.9°
In a survey: Red 13, Blue 15, Green 14, Yellow 3. In a pie chart, what angle does Blue get?
- Total = 45.
- Blue fraction = 15/45.
- 15/45 × 360° = 120°.
- Answer: 120°
In a survey: Red 7, Blue 5, Green 4, Yellow 6. In a pie chart, what angle does Red get?
- Total = 22.
- Red fraction = 7/22.
- 7/22 × 360° = 114.5°.
- Answer: 114.5°
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 Working with Cosine Graph 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 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 Working with Cosine Graph?
- Move on to Cosine Graph in Context, Sine Graph, Tangent Graph, Trigonometric Identities, which build directly on this idea.
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