Free Grade 3 Working with Graphical Solutions Common Errors Lessons
Free Grade 3 lessons for Working with Graphical Solutions Common Errors: 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
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with graphical solutions common errors
Explain working with graphical solutions common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with graphical solutions common errors
Calculate working with graphical solutions common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with graphical solutions common errors
Compare working with graphical solutions common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with graphical solutions common errors
Justify working with graphical solutions common errors 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 Common Errors 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 8, Blue 11, Green 10, Yellow 2. In a pie chart, what angle does Yellow get?[1]
- 2.In a survey: Red 6, Blue 15, Green 4, Yellow 15. In a pie chart, what angle does Green get?[1]
- 3.In a survey: Red 14, Blue 11, Green 13, Yellow 5. In a pie chart, what angle does Red get?[1]
- 4.In a survey: Red 14, Blue 2, Green 10, Yellow 10. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 11, Blue 14, Green 10, Yellow 13. In a pie chart, what angle does Blue get?[2]
- 6.In a survey: Red 9, Blue 8, Green 4, Yellow 15. In a pie chart, what angle does Blue get?[2]
- 7.In a survey: Red 11, Blue 5, Green 2, Yellow 4. In a pie chart, what angle does Green get?[2]
- 8.In a survey: Red 14, Blue 2, Green 6, Yellow 13. In a pie chart, what angle does Red get?[2]
- 9.In a survey: Red 5, Blue 7, Green 15, Yellow 13. In a pie chart, what angle does Red get?[3]
- 10.In a survey: Red 15, Blue 3, Green 5, Yellow 13. In a pie chart, what angle does Yellow get?[3]
- 11.In a survey: Red 13, Blue 7, Green 5, Yellow 15. In a pie chart, what angle does Red get?[3]
- 12.In a survey: Red 8, Blue 2, Green 5, Yellow 12. In a pie chart, what angle does Green get?[3]
Show answers and working
1. 23.2°
Total = 31. Yellow fraction = 2/31. 2/31 × 360° = 23.2°.
2. 36°
Total = 40. Green fraction = 4/40. 4/40 × 360° = 36°.
3. 117.2°
Total = 43. Red fraction = 14/43. 14/43 × 360° = 117.2°.
4. 20°
Total = 36. Blue fraction = 2/36. 2/36 × 360° = 20°.
5. 105°
Total = 48. Blue fraction = 14/48. 14/48 × 360° = 105°.
6. 80°
Total = 36. Blue fraction = 8/36. 8/36 × 360° = 80°.
7. 32.7°
Total = 22. Green fraction = 2/22. 2/22 × 360° = 32.7°.
8. 144°
Total = 35. Red fraction = 14/35. 14/35 × 360° = 144°.
9. 45°
Total = 40. Red fraction = 5/40. 5/40 × 360° = 45°.
10. 130°
Total = 36. Yellow fraction = 13/36. 13/36 × 360° = 130°.
11. 117°
Total = 40. Red fraction = 13/40. 13/40 × 360° = 117°.
12. 66.7°
Total = 27. Green fraction = 5/27. 5/27 × 360° = 66.7°.
Worked examples
In a survey: Red 2, Blue 15, Green 5, Yellow 14. In a pie chart, what angle does Blue get?
- Total = 36.
- Blue fraction = 15/36.
- 15/36 × 360° = 150°.
- Answer: 150°
In a survey: Red 13, Blue 2, Green 3, Yellow 10. In a pie chart, what angle does Blue get?
- Total = 28.
- Blue fraction = 2/28.
- 2/28 × 360° = 25.7°.
- Answer: 25.7°
In a survey: Red 9, Blue 11, Green 10, Yellow 11. In a pie chart, what angle does Blue get?
- Total = 41.
- Blue fraction = 11/41.
- 11/41 × 360° = 96.6°.
- Answer: 96.6°
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 Common Errors lesson really free?
- Yes. Every lessons 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 Word Problems, Working with Graphical Solutions Techniques, Introducing Graphical Solutions. Each one has its own free lesson, worksheet and quiz.
- How is the lesson 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 Common Errors?
- Move on to Introducing Graphical Solutions, Graphical Solutions in Context, which build directly on this idea.
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