Free Grade 3 Graphical Solutions in Context Techniques Flashcards
Free Grade 3 flashcards 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
30 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 5, Blue 2, Green 15, Yellow 3. In a pie chart, what angle does Green get?[1]
- 2.In a survey: Red 5, Blue 3, Green 13, Yellow 7. In a pie chart, what angle does Green get?[1]
- 3.In a survey: Red 13, Blue 13, Green 9, Yellow 6. In a pie chart, what angle does Blue get?[1]
- 4.In a survey: Red 13, Blue 9, Green 6, Yellow 12. In a pie chart, what angle does Green get?[1]
- 5.In a survey: Red 12, Blue 4, Green 5, Yellow 11. In a pie chart, what angle does Green get?[2]
- 6.In a survey: Red 12, Blue 3, Green 5, Yellow 7. In a pie chart, what angle does Yellow get?[2]
- 7.In a survey: Red 8, Blue 2, Green 13, Yellow 9. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 8, Blue 3, Green 11, Yellow 10. In a pie chart, what angle does Blue get?[2]
- 9.In a survey: Red 12, Blue 5, Green 14, Yellow 9. In a pie chart, what angle does Yellow get?[3]
- 10.In a survey: Red 13, Blue 11, Green 7, Yellow 9. In a pie chart, what angle does Red get?[3]
- 11.In a survey: Red 10, Blue 9, Green 2, Yellow 8. In a pie chart, what angle does Red get?[3]
- 12.In a survey: Red 9, Blue 2, Green 2, Yellow 11. In a pie chart, what angle does Blue get?[3]
Show answers and working
1. 216°
Total = 25. Green fraction = 15/25. 15/25 × 360° = 216°.
2. 167.1°
Total = 28. Green fraction = 13/28. 13/28 × 360° = 167.1°.
3. 114.1°
Total = 41. Blue fraction = 13/41. 13/41 × 360° = 114.1°.
4. 54°
Total = 40. Green fraction = 6/40. 6/40 × 360° = 54°.
5. 56.3°
Total = 32. Green fraction = 5/32. 5/32 × 360° = 56.3°.
6. 93.3°
Total = 27. Yellow fraction = 7/27. 7/27 × 360° = 93.3°.
7. 22.5°
Total = 32. Blue fraction = 2/32. 2/32 × 360° = 22.5°.
8. 33.8°
Total = 32. Blue fraction = 3/32. 3/32 × 360° = 33.8°.
9. 81°
Total = 40. Yellow fraction = 9/40. 9/40 × 360° = 81°.
10. 117°
Total = 40. Red fraction = 13/40. 13/40 × 360° = 117°.
11. 124.1°
Total = 29. Red fraction = 10/29. 10/29 × 360° = 124.1°.
12. 30°
Total = 24. Blue fraction = 2/24. 2/24 × 360° = 30°.
Worked examples
In a survey: Red 9, Blue 11, Green 9, Yellow 7. In a pie chart, what angle does Green get?
- Total = 36.
- Green fraction = 9/36.
- 9/36 × 360° = 90°.
- Answer: 90°
In a survey: Red 14, Blue 6, Green 8, Yellow 14. In a pie chart, what angle does Yellow get?
- Total = 42.
- Yellow fraction = 14/42.
- 14/42 × 360° = 120°.
- Answer: 120°
In a survey: Red 2, Blue 15, Green 12, Yellow 8. In a pie chart, what angle does Yellow get?
- Total = 37.
- Yellow fraction = 8/37.
- 8/37 × 360° = 77.8°.
- Answer: 77.8°
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 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 Graphical Solutions in Context Essentials, Working with Graphical Solutions. 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 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
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