Free Grade 3 Working with Graphical Solutions Word Problems Flashcards
Free Grade 3 flashcards for Working with Graphical Solutions Word Problems: 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
Foundation
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with graphical solutions word problems
Explain working with graphical solutions word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with graphical solutions word problems
Calculate working with graphical solutions word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with graphical solutions word problems
Compare working with graphical solutions word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with graphical solutions word problems
Justify working with graphical solutions word problems 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 Graphical Solutions Word Problems 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 15, Blue 15, Green 5, Yellow 15. In a pie chart, what angle does Red get?[1]
- 2.In a survey: Red 10, Blue 4, Green 13, Yellow 14. In a pie chart, what angle does Red get?[1]
- 3.In a survey: Red 5, Blue 12, Green 8, Yellow 14. In a pie chart, what angle does Blue get?[1]
- 4.In a survey: Red 4, Blue 7, Green 15, Yellow 4. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 7, Blue 11, Green 11, Yellow 8. In a pie chart, what angle does Red get?[2]
- 6.In a survey: Red 5, Blue 9, Green 3, Yellow 8. In a pie chart, what angle does Yellow get?[2]
- 7.In a survey: Red 10, Blue 14, Green 8, Yellow 13. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 3, Blue 15, Green 10, Yellow 6. In a pie chart, what angle does Red get?[2]
- 9.In a survey: Red 13, Blue 10, Green 3, Yellow 13. In a pie chart, what angle does Red get?[3]
- 10.In a survey: Red 6, Blue 15, Green 3, Yellow 3. In a pie chart, what angle does Red get?[3]
- 11.In a survey: Red 5, Blue 13, Green 8, Yellow 15. In a pie chart, what angle does Blue get?[3]
- 12.In a survey: Red 14, Blue 11, Green 2, Yellow 14. In a pie chart, what angle does Yellow get?[3]
Show answers and working
1. 108°
Total = 50. Red fraction = 15/50. 15/50 × 360° = 108°.
2. 87.8°
Total = 41. Red fraction = 10/41. 10/41 × 360° = 87.8°.
3. 110.8°
Total = 39. Blue fraction = 12/39. 12/39 × 360° = 110.8°.
4. 84°
Total = 30. Blue fraction = 7/30. 7/30 × 360° = 84°.
5. 68.1°
Total = 37. Red fraction = 7/37. 7/37 × 360° = 68.1°.
6. 115.2°
Total = 25. Yellow fraction = 8/25. 8/25 × 360° = 115.2°.
7. 112°
Total = 45. Blue fraction = 14/45. 14/45 × 360° = 112°.
8. 31.8°
Total = 34. Red fraction = 3/34. 3/34 × 360° = 31.8°.
9. 120°
Total = 39. Red fraction = 13/39. 13/39 × 360° = 120°.
10. 80°
Total = 27. Red fraction = 6/27. 6/27 × 360° = 80°.
11. 114.1°
Total = 41. Blue fraction = 13/41. 13/41 × 360° = 114.1°.
12. 122.9°
Total = 41. Yellow fraction = 14/41. 14/41 × 360° = 122.9°.
Worked examples
In a survey: Red 10, Blue 6, Green 5, Yellow 10. In a pie chart, what angle does Yellow get?
- Total = 31.
- Yellow fraction = 10/31.
- 10/31 × 360° = 116.1°.
- Answer: 116.1°
In a survey: Red 15, Blue 14, Green 11, Yellow 15. In a pie chart, what angle does Red get?
- Total = 55.
- Red fraction = 15/55.
- 15/55 × 360° = 98.2°.
- Answer: 98.2°
In a survey: Red 4, Blue 6, Green 10, Yellow 5. In a pie chart, what angle does Red get?
- Total = 25.
- Red fraction = 4/25.
- 4/25 × 360° = 57.6°.
- Answer: 57.6°
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 Graphical Solutions Word Problems 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 Working with Graphical Solutions Techniques, Working with Graphical Solutions Essentials, Introducing 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 Working with Graphical Solutions Word Problems?
- Move on to Working with Graphical Solutions Common Errors, Introducing Graphical Solutions, Graphical Solutions in Context, which build directly on this idea.
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