Free Grade 3 Introducing Cosine Graph Quizzes
Free Grade 3 quizzes 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
Higher
35 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 4, Blue 3, Green 15, Yellow 12. In a pie chart, what angle does Green get?[1]
- 2.In a survey: Red 4, Blue 6, Green 10, Yellow 10. In a pie chart, what angle does Blue get?[1]
- 3.In a survey: Red 2, Blue 10, Green 14, Yellow 8. In a pie chart, what angle does Red get?[1]
- 4.In a survey: Red 3, Blue 2, Green 7, Yellow 8. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 15, Blue 3, Green 3, Yellow 12. In a pie chart, what angle does Yellow get?[2]
- 6.In a survey: Red 3, Blue 10, Green 4, Yellow 4. In a pie chart, what angle does Red get?[2]
- 7.In a survey: Red 4, Blue 7, Green 6, Yellow 7. In a pie chart, what angle does Yellow get?[2]
- 8.In a survey: Red 6, Blue 5, Green 6, Yellow 4. In a pie chart, what angle does Red get?[2]
- 9.In a survey: Red 3, Blue 10, Green 11, Yellow 9. In a pie chart, what angle does Blue get?[3]
- 10.In a survey: Red 9, Blue 9, Green 5, Yellow 3. In a pie chart, what angle does Yellow get?[3]
- 11.In a survey: Red 6, Blue 11, Green 12, Yellow 14. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 2, Blue 12, Green 3, Yellow 15. In a pie chart, what angle does Green get?[3]
Show answers and working
1. 158.8°
Total = 34. Green fraction = 15/34. 15/34 × 360° = 158.8°.
2. 72°
Total = 30. Blue fraction = 6/30. 6/30 × 360° = 72°.
3. 21.2°
Total = 34. Red fraction = 2/34. 2/34 × 360° = 21.2°.
4. 36°
Total = 20. Blue fraction = 2/20. 2/20 × 360° = 36°.
5. 130.9°
Total = 33. Yellow fraction = 12/33. 12/33 × 360° = 130.9°.
6. 51.4°
Total = 21. Red fraction = 3/21. 3/21 × 360° = 51.4°.
7. 105°
Total = 24. Yellow fraction = 7/24. 7/24 × 360° = 105°.
8. 102.9°
Total = 21. Red fraction = 6/21. 6/21 × 360° = 102.9°.
9. 109.1°
Total = 33. Blue fraction = 10/33. 10/33 × 360° = 109.1°.
10. 41.5°
Total = 26. Yellow fraction = 3/26. 3/26 × 360° = 41.5°.
11. 100.5°
Total = 43. Green fraction = 12/43. 12/43 × 360° = 100.5°.
12. 33.8°
Total = 32. Green fraction = 3/32. 3/32 × 360° = 33.8°.
Worked examples
In a survey: Red 14, Blue 2, Green 8, Yellow 11. In a pie chart, what angle does Blue get?
- Total = 35.
- Blue fraction = 2/35.
- 2/35 × 360° = 20.6°.
- Answer: 20.6°
In a survey: Red 14, Blue 2, Green 4, Yellow 6. In a pie chart, what angle does Green get?
- Total = 26.
- Green fraction = 4/26.
- 4/26 × 360° = 55.4°.
- Answer: 55.4°
In a survey: Red 7, Blue 12, Green 12, Yellow 12. In a pie chart, what angle does Blue get?
- Total = 43.
- Blue fraction = 12/43.
- 12/43 × 360° = 100.5°.
- Answer: 100.5°
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.
Every free resource for Introducing Cosine Graph
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Frequently asked
- Is this Grade 3 Introducing Cosine Graph quiz really free?
- Yes. Every quizzes 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 quiz 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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