Free Grade 3 Graphical Solutions Worksheets
Free Grade 3 worksheets for Graphical Solutions: 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
Core
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain graphical solutions
Explain graphical solutions accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate graphical solutions
Calculate graphical solutions accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare graphical solutions
Compare graphical solutions accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify graphical solutions
Justify graphical solutions 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 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 11, Blue 4, Green 9, Yellow 2. In a pie chart, what angle does Green get?[1]
- 2.In a survey: Red 2, Blue 7, Green 7, Yellow 12. In a pie chart, what angle does Yellow get?[1]
- 3.In a survey: Red 8, Blue 10, Green 15, Yellow 3. In a pie chart, what angle does Blue get?[1]
- 4.In a survey: Red 10, Blue 8, Green 11, Yellow 5. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 7, Blue 2, Green 4, Yellow 12. In a pie chart, what angle does Red get?[2]
- 6.In a survey: Red 7, Blue 11, Green 14, Yellow 2. In a pie chart, what angle does Blue get?[2]
- 7.In a survey: Red 7, Blue 11, Green 7, Yellow 6. In a pie chart, what angle does Green get?[2]
- 8.In a survey: Red 7, Blue 5, Green 14, Yellow 14. In a pie chart, what angle does Green get?[2]
- 9.In a survey: Red 10, Blue 14, Green 9, Yellow 4. In a pie chart, what angle does Red get?[3]
- 10.In a survey: Red 9, Blue 9, Green 15, Yellow 6. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 9, Blue 13, Green 11, Yellow 7. In a pie chart, what angle does Blue get?[3]
- 12.In a survey: Red 8, Blue 4, Green 5, Yellow 12. In a pie chart, what angle does Blue get?[3]
Show answers and working
1. 124.6°
Total = 26. Green fraction = 9/26. 9/26 × 360° = 124.6°.
2. 154.3°
Total = 28. Yellow fraction = 12/28. 12/28 × 360° = 154.3°.
3. 100°
Total = 36. Blue fraction = 10/36. 10/36 × 360° = 100°.
4. 84.7°
Total = 34. Blue fraction = 8/34. 8/34 × 360° = 84.7°.
5. 100.8°
Total = 25. Red fraction = 7/25. 7/25 × 360° = 100.8°.
6. 116.5°
Total = 34. Blue fraction = 11/34. 11/34 × 360° = 116.5°.
7. 81.3°
Total = 31. Green fraction = 7/31. 7/31 × 360° = 81.3°.
8. 126°
Total = 40. Green fraction = 14/40. 14/40 × 360° = 126°.
9. 97.3°
Total = 37. Red fraction = 10/37. 10/37 × 360° = 97.3°.
10. 83.1°
Total = 39. Blue fraction = 9/39. 9/39 × 360° = 83.1°.
11. 117°
Total = 40. Blue fraction = 13/40. 13/40 × 360° = 117°.
12. 49.7°
Total = 29. Blue fraction = 4/29. 4/29 × 360° = 49.7°.
Worked examples
In a survey: Red 13, Blue 7, Green 5, Yellow 8. In a pie chart, what angle does Green get?
- Total = 33.
- Green fraction = 5/33.
- 5/33 × 360° = 54.5°.
- Answer: 54.5°
In a survey: Red 10, Blue 14, Green 6, Yellow 11. In a pie chart, what angle does Yellow get?
- Total = 41.
- Yellow fraction = 11/41.
- 11/41 × 360° = 96.6°.
- Answer: 96.6°
In a survey: Red 15, Blue 3, Green 11, Yellow 2. In a pie chart, what angle does Green get?
- Total = 31.
- Green fraction = 11/31.
- 11/31 × 360° = 127.7°.
- Answer: 127.7°
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.
Every free resource for Graphical Solutions
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Frequently asked
- Is this Grade 3 Graphical Solutions 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 Substitution Method, Elimination Method, Quadratics. 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?
- Move on to Algebraic Expressions, Equations, Inequalities, Sequences, which build directly on this idea.
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