Free Grade 3 Graphical Solutions in Context Word Problems Worksheets
Free Grade 3 worksheets for Graphical Solutions in Context 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
Stretch
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain graphical solutions in context word problems
Explain graphical solutions in context word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate graphical solutions in context word problems
Calculate graphical solutions in context word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare graphical solutions in context word problems
Compare graphical solutions in context word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify graphical solutions in context word problems
Justify graphical solutions in context 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 Graphical Solutions in Context 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 2, Blue 4, Green 4, Yellow 15. In a pie chart, what angle does Red get?[1]
- 2.In a survey: Red 9, Blue 4, Green 9, Yellow 5. In a pie chart, what angle does Green get?[1]
- 3.In a survey: Red 9, Blue 15, Green 6, Yellow 13. In a pie chart, what angle does Blue get?[1]
- 4.In a survey: Red 14, Blue 7, Green 15, Yellow 15. In a pie chart, what angle does Yellow get?[1]
- 5.In a survey: Red 6, Blue 14, Green 12, Yellow 8. In a pie chart, what angle does Blue get?[2]
- 6.In a survey: Red 3, Blue 13, Green 14, Yellow 8. In a pie chart, what angle does Red get?[2]
- 7.In a survey: Red 15, Blue 14, Green 11, Yellow 13. In a pie chart, what angle does Red get?[2]
- 8.In a survey: Red 5, Blue 6, Green 12, Yellow 6. In a pie chart, what angle does Blue get?[2]
- 9.In a survey: Red 4, Blue 12, Green 8, Yellow 5. In a pie chart, what angle does Green get?[3]
- 10.In a survey: Red 15, Blue 13, Green 10, Yellow 8. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 3, Blue 6, Green 2, Yellow 11. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 14, Blue 5, Green 6, Yellow 6. In a pie chart, what angle does Yellow get?[3]
Show answers and working
1. 28.8°
Total = 25. Red fraction = 2/25. 2/25 × 360° = 28.8°.
2. 120°
Total = 27. Green fraction = 9/27. 9/27 × 360° = 120°.
3. 125.6°
Total = 43. Blue fraction = 15/43. 15/43 × 360° = 125.6°.
4. 105.9°
Total = 51. Yellow fraction = 15/51. 15/51 × 360° = 105.9°.
5. 126°
Total = 40. Blue fraction = 14/40. 14/40 × 360° = 126°.
6. 28.4°
Total = 38. Red fraction = 3/38. 3/38 × 360° = 28.4°.
7. 101.9°
Total = 53. Red fraction = 15/53. 15/53 × 360° = 101.9°.
8. 74.5°
Total = 29. Blue fraction = 6/29. 6/29 × 360° = 74.5°.
9. 99.3°
Total = 29. Green fraction = 8/29. 8/29 × 360° = 99.3°.
10. 101.7°
Total = 46. Blue fraction = 13/46. 13/46 × 360° = 101.7°.
11. 32.7°
Total = 22. Green fraction = 2/22. 2/22 × 360° = 32.7°.
12. 69.7°
Total = 31. Yellow fraction = 6/31. 6/31 × 360° = 69.7°.
Worked examples
In a survey: Red 11, Blue 11, Green 5, Yellow 11. In a pie chart, what angle does Yellow get?
- Total = 38.
- Yellow fraction = 11/38.
- 11/38 × 360° = 104.2°.
- Answer: 104.2°
In a survey: Red 3, Blue 4, Green 6, Yellow 5. In a pie chart, what angle does Yellow get?
- Total = 18.
- Yellow fraction = 5/18.
- 5/18 × 360° = 100°.
- Answer: 100°
In a survey: Red 11, Blue 4, Green 2, Yellow 10. In a pie chart, what angle does Blue get?
- Total = 27.
- Blue fraction = 4/27.
- 4/27 × 360° = 53.3°.
- Answer: 53.3°
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
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Frequently asked
- Is this Grade 3 Graphical Solutions in Context Word Problems worksheet really free?
- Yes. Every worksheets 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 Techniques, Graphical Solutions in Context Essentials, Working with Graphical Solutions. Each one has its own free lesson, worksheet and quiz.
- How is the worksheet 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 Word Problems?
- Move on to Graphical Solutions in Context Common Errors, Introducing Graphical Solutions, Working with Graphical Solutions, which build directly on this idea.
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