Free Grade 3 Graphical Solutions in Context Common Errors Lessons
Free Grade 3 lessons for Graphical Solutions in Context 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
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain graphical solutions in context common errors
Explain graphical solutions in context common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate graphical solutions in context common errors
Calculate graphical solutions in context common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare graphical solutions in context common errors
Compare graphical solutions in context common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify graphical solutions in context common errors
Justify graphical solutions in context 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 Graphical Solutions in Context 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 15, Blue 9, Green 2, Yellow 13. In a pie chart, what angle does Blue get?[1]
- 2.In a survey: Red 7, Blue 15, Green 7, Yellow 4. In a pie chart, what angle does Blue get?[1]
- 3.In a survey: Red 5, Blue 15, Green 3, Yellow 12. In a pie chart, what angle does Blue get?[1]
- 4.In a survey: Red 6, Blue 13, Green 14, Yellow 11. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 6, Blue 4, Green 5, Yellow 14. In a pie chart, what angle does Red get?[2]
- 6.In a survey: Red 15, Blue 7, Green 7, Yellow 8. In a pie chart, what angle does Yellow get?[2]
- 7.In a survey: Red 2, Blue 11, Green 12, Yellow 4. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 13, Blue 5, Green 8, Yellow 13. In a pie chart, what angle does Yellow get?[2]
- 9.In a survey: Red 4, Blue 2, Green 5, Yellow 6. In a pie chart, what angle does Red get?[3]
- 10.In a survey: Red 4, Blue 12, Green 14, Yellow 10. In a pie chart, what angle does Yellow get?[3]
- 11.In a survey: Red 10, Blue 7, Green 12, Yellow 10. In a pie chart, what angle does Yellow get?[3]
- 12.In a survey: Red 12, Blue 6, Green 7, Yellow 12. In a pie chart, what angle does Yellow get?[3]
Show answers and working
1. 83.1°
Total = 39. Blue fraction = 9/39. 9/39 × 360° = 83.1°.
2. 163.6°
Total = 33. Blue fraction = 15/33. 15/33 × 360° = 163.6°.
3. 154.3°
Total = 35. Blue fraction = 15/35. 15/35 × 360° = 154.3°.
4. 106.4°
Total = 44. Blue fraction = 13/44. 13/44 × 360° = 106.4°.
5. 74.5°
Total = 29. Red fraction = 6/29. 6/29 × 360° = 74.5°.
6. 77.8°
Total = 37. Yellow fraction = 8/37. 8/37 × 360° = 77.8°.
7. 136.6°
Total = 29. Blue fraction = 11/29. 11/29 × 360° = 136.6°.
8. 120°
Total = 39. Yellow fraction = 13/39. 13/39 × 360° = 120°.
9. 84.7°
Total = 17. Red fraction = 4/17. 4/17 × 360° = 84.7°.
10. 90°
Total = 40. Yellow fraction = 10/40. 10/40 × 360° = 90°.
11. 92.3°
Total = 39. Yellow fraction = 10/39. 10/39 × 360° = 92.3°.
12. 116.8°
Total = 37. Yellow fraction = 12/37. 12/37 × 360° = 116.8°.
Worked examples
In a survey: Red 7, Blue 11, Green 12, Yellow 15. In a pie chart, what angle does Blue get?
- Total = 45.
- Blue fraction = 11/45.
- 11/45 × 360° = 88°.
- Answer: 88°
In a survey: Red 10, Blue 11, Green 15, Yellow 2. In a pie chart, what angle does Red get?
- Total = 38.
- Red fraction = 10/38.
- 10/38 × 360° = 94.7°.
- Answer: 94.7°
In a survey: Red 7, Blue 11, Green 10, Yellow 3. In a pie chart, what angle does Green get?
- Total = 31.
- Green fraction = 10/31.
- 10/31 × 360° = 116.1°.
- Answer: 116.1°
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 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 Graphical Solutions in Context Word Problems, Graphical Solutions in Context Techniques, Working with 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 Graphical Solutions in Context Common Errors?
- Move on to Introducing Graphical Solutions, Working with Graphical Solutions, which build directly on this idea.
Related resources
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