Free Grade 3 Graphical Solutions in Context Common Errors Quizzes
Free Grade 3 quizzes for Graphical Solutions in Context Common Errors: 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
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain graphical solutions in context common errors
Explain graphical solutions in context common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate graphical solutions in context common errors
Calculate graphical solutions in context common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare graphical solutions in context common errors
Compare graphical solutions in context common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify graphical solutions in context common errors
Justify graphical solutions in context common errors 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 Graphical Solutions in Context Common Errors 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 15, Green 10, Yellow 5. In a pie chart, what angle does Green get?[1]
- 2.In a survey: Red 8, Blue 6, Green 14, Yellow 12. In a pie chart, what angle does Yellow get?[1]
- 3.In a survey: Red 15, Blue 5, Green 10, Yellow 12. In a pie chart, what angle does Yellow get?[1]
- 4.In a survey: Red 13, Blue 11, Green 3, Yellow 10. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 5, Blue 11, Green 7, Yellow 15. In a pie chart, what angle does Red get?[2]
- 6.In a survey: Red 4, Blue 9, Green 13, Yellow 15. In a pie chart, what angle does Yellow get?[2]
- 7.In a survey: Red 8, Blue 14, Green 4, Yellow 3. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 15, Blue 3, Green 4, Yellow 12. In a pie chart, what angle does Blue get?[2]
- 9.In a survey: Red 6, Blue 6, Green 2, Yellow 15. In a pie chart, what angle does Green get?[3]
- 10.In a survey: Red 15, Blue 9, Green 7, Yellow 12. In a pie chart, what angle does Red get?[3]
- 11.In a survey: Red 6, Blue 12, Green 14, Yellow 7. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 2, Blue 15, Green 7, Yellow 13. In a pie chart, what angle does Yellow get?[3]
Show answers and working
1. 105.9°
Total = 34. Green fraction = 10/34. 10/34 × 360° = 105.9°.
2. 108°
Total = 40. Yellow fraction = 12/40. 12/40 × 360° = 108°.
3. 102.9°
Total = 42. Yellow fraction = 12/42. 12/42 × 360° = 102.9°.
4. 107°
Total = 37. Blue fraction = 11/37. 11/37 × 360° = 107°.
5. 47.4°
Total = 38. Red fraction = 5/38. 5/38 × 360° = 47.4°.
6. 131.7°
Total = 41. Yellow fraction = 15/41. 15/41 × 360° = 131.7°.
7. 173.8°
Total = 29. Blue fraction = 14/29. 14/29 × 360° = 173.8°.
8. 31.8°
Total = 34. Blue fraction = 3/34. 3/34 × 360° = 31.8°.
9. 24.8°
Total = 29. Green fraction = 2/29. 2/29 × 360° = 24.8°.
10. 125.6°
Total = 43. Red fraction = 15/43. 15/43 × 360° = 125.6°.
11. 129.2°
Total = 39. Green fraction = 14/39. 14/39 × 360° = 129.2°.
12. 126.5°
Total = 37. Yellow fraction = 13/37. 13/37 × 360° = 126.5°.
Worked examples
In a survey: Red 13, Blue 5, Green 15, Yellow 11. In a pie chart, what angle does Blue get?
- Total = 44.
- Blue fraction = 5/44.
- 5/44 × 360° = 40.9°.
- Answer: 40.9°
In a survey: Red 11, Blue 11, Green 6, Yellow 4. In a pie chart, what angle does Red get?
- Total = 32.
- Red fraction = 11/32.
- 11/32 × 360° = 123.8°.
- Answer: 123.8°
In a survey: Red 11, Blue 4, Green 4, Yellow 5. In a pie chart, what angle does Red get?
- Total = 24.
- Red fraction = 11/24.
- 11/24 × 360° = 165°.
- Answer: 165°
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 Graphical Solutions in Context Common Errors 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 Graphical Solutions in Context Word Problems, Graphical Solutions in Context Techniques, Working with Graphical Solutions. 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 Graphical Solutions in Context Common Errors?
- Move on to Introducing Graphical Solutions, Working with Graphical Solutions, which build directly on this idea.
Related resources
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- Free Graphical Solutions in Context Common Errors flashcards
- Free Graphical Solutions in Context Common Errors lessons
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