Free Grade 3 Graphical Solutions in Context Techniques Quizzes
Free Grade 3 quizzes for Graphical Solutions in Context Techniques: 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 graphical solutions in context techniques
Explain graphical solutions in context techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate graphical solutions in context techniques
Calculate graphical solutions in context techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare graphical solutions in context techniques
Compare graphical solutions in context techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify graphical solutions in context techniques
Justify graphical solutions in context techniques 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 Techniques 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 5, Green 3, Yellow 12. In a pie chart, what angle does Green get?[1]
- 2.In a survey: Red 3, Blue 2, Green 6, Yellow 7. In a pie chart, what angle does Red get?[1]
- 3.In a survey: Red 13, Blue 14, Green 7, Yellow 11. In a pie chart, what angle does Red get?[1]
- 4.In a survey: Red 4, Blue 14, Green 5, Yellow 6. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 13, Blue 9, Green 7, Yellow 9. In a pie chart, what angle does Yellow get?[2]
- 6.In a survey: Red 15, Blue 5, Green 12, Yellow 15. In a pie chart, what angle does Red get?[2]
- 7.In a survey: Red 11, Blue 2, Green 6, Yellow 4. In a pie chart, what angle does Red get?[2]
- 8.In a survey: Red 6, Blue 14, Green 7, Yellow 3. In a pie chart, what angle does Blue get?[2]
- 9.In a survey: Red 9, Blue 3, Green 13, Yellow 12. In a pie chart, what angle does Blue get?[3]
- 10.In a survey: Red 3, Blue 13, Green 13, Yellow 10. In a pie chart, what angle does Green get?[3]
- 11.In a survey: Red 7, Blue 6, Green 4, Yellow 7. In a pie chart, what angle does Red get?[3]
- 12.In a survey: Red 2, Blue 3, Green 8, Yellow 7. In a pie chart, what angle does Red get?[3]
Show answers and working
1. 37.2°
Total = 29. Green fraction = 3/29. 3/29 × 360° = 37.2°.
2. 60°
Total = 18. Red fraction = 3/18. 3/18 × 360° = 60°.
3. 104°
Total = 45. Red fraction = 13/45. 13/45 × 360° = 104°.
4. 173.8°
Total = 29. Blue fraction = 14/29. 14/29 × 360° = 173.8°.
5. 85.3°
Total = 38. Yellow fraction = 9/38. 9/38 × 360° = 85.3°.
6. 114.9°
Total = 47. Red fraction = 15/47. 15/47 × 360° = 114.9°.
7. 172.2°
Total = 23. Red fraction = 11/23. 11/23 × 360° = 172.2°.
8. 168°
Total = 30. Blue fraction = 14/30. 14/30 × 360° = 168°.
9. 29.2°
Total = 37. Blue fraction = 3/37. 3/37 × 360° = 29.2°.
10. 120°
Total = 39. Green fraction = 13/39. 13/39 × 360° = 120°.
11. 105°
Total = 24. Red fraction = 7/24. 7/24 × 360° = 105°.
12. 36°
Total = 20. Red fraction = 2/20. 2/20 × 360° = 36°.
Worked examples
In a survey: Red 3, Blue 5, Green 13, Yellow 3. In a pie chart, what angle does Yellow get?
- Total = 24.
- Yellow fraction = 3/24.
- 3/24 × 360° = 45°.
- Answer: 45°
In a survey: Red 15, Blue 15, Green 11, Yellow 5. In a pie chart, what angle does Blue get?
- Total = 46.
- Blue fraction = 15/46.
- 15/46 × 360° = 117.4°.
- Answer: 117.4°
In a survey: Red 14, Blue 4, Green 4, Yellow 2. In a pie chart, what angle does Green get?
- Total = 24.
- Green fraction = 4/24.
- 4/24 × 360° = 60°.
- Answer: 60°
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 Techniques 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 Essentials, 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 Techniques?
- Move on to Graphical Solutions in Context Word Problems, Graphical Solutions in Context Common Errors, Introducing Graphical Solutions, Working with Graphical Solutions, which build directly on this idea.
Related resources
- Free Graphical Solutions in Context Techniques worksheets
- Free Graphical Solutions in Context Techniques flashcards
- Free Graphical Solutions in Context Techniques lessons
- Free Graphical Solutions in Context Techniques lesson plans
- Graphical Solutions in Context Techniques in the knowledge graph
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