Free Grade 3 Graphical Solutions in Context Common Errors Worksheets
Free Grade 3 worksheets 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
Stretch
35 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 2, Blue 11, Green 15, Yellow 14. In a pie chart, what angle does Yellow get?[1]
- 2.In a survey: Red 3, Blue 15, Green 5, Yellow 3. In a pie chart, what angle does Red get?[1]
- 3.In a survey: Red 14, Blue 15, Green 13, Yellow 5. In a pie chart, what angle does Green get?[1]
- 4.In a survey: Red 12, Blue 15, Green 6, Yellow 4. In a pie chart, what angle does Red get?[1]
- 5.In a survey: Red 3, Blue 12, Green 14, Yellow 4. In a pie chart, what angle does Yellow get?[2]
- 6.In a survey: Red 12, Blue 13, Green 4, Yellow 12. In a pie chart, what angle does Red get?[2]
- 7.In a survey: Red 8, Blue 15, Green 15, Yellow 3. In a pie chart, what angle does Red get?[2]
- 8.In a survey: Red 2, Blue 12, Green 14, Yellow 8. In a pie chart, what angle does Red get?[2]
- 9.In a survey: Red 15, Blue 10, Green 3, Yellow 4. In a pie chart, what angle does Blue get?[3]
- 10.In a survey: Red 15, Blue 9, Green 3, Yellow 7. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 12, Blue 8, Green 13, Yellow 15. In a pie chart, what angle does Yellow get?[3]
- 12.In a survey: Red 14, Blue 14, Green 4, Yellow 6. In a pie chart, what angle does Green get?[3]
Show answers and working
1. 120°
Total = 42. Yellow fraction = 14/42. 14/42 × 360° = 120°.
2. 41.5°
Total = 26. Red fraction = 3/26. 3/26 × 360° = 41.5°.
3. 99.6°
Total = 47. Green fraction = 13/47. 13/47 × 360° = 99.6°.
4. 116.8°
Total = 37. Red fraction = 12/37. 12/37 × 360° = 116.8°.
5. 43.6°
Total = 33. Yellow fraction = 4/33. 4/33 × 360° = 43.6°.
6. 105.4°
Total = 41. Red fraction = 12/41. 12/41 × 360° = 105.4°.
7. 70.2°
Total = 41. Red fraction = 8/41. 8/41 × 360° = 70.2°.
8. 20°
Total = 36. Red fraction = 2/36. 2/36 × 360° = 20°.
9. 112.5°
Total = 32. Blue fraction = 10/32. 10/32 × 360° = 112.5°.
10. 95.3°
Total = 34. Blue fraction = 9/34. 9/34 × 360° = 95.3°.
11. 112.5°
Total = 48. Yellow fraction = 15/48. 15/48 × 360° = 112.5°.
12. 37.9°
Total = 38. Green fraction = 4/38. 4/38 × 360° = 37.9°.
Worked examples
In a survey: Red 15, Blue 7, Green 3, Yellow 13. In a pie chart, what angle does Red get?
- Total = 38.
- Red fraction = 15/38.
- 15/38 × 360° = 142.1°.
- Answer: 142.1°
In a survey: Red 3, Blue 6, Green 15, Yellow 7. In a pie chart, what angle does Green get?
- Total = 31.
- Green fraction = 15/31.
- 15/31 × 360° = 174.2°.
- Answer: 174.2°
In a survey: Red 6, Blue 8, Green 6, Yellow 6. In a pie chart, what angle does Yellow get?
- Total = 26.
- Yellow fraction = 6/26.
- 6/26 × 360° = 83.1°.
- Answer: 83.1°
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
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Frequently asked
- Is this Grade 3 Graphical Solutions in Context Common Errors 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 Word Problems, Graphical Solutions in Context Techniques, 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 Common Errors?
- Move on to Introducing Graphical Solutions, Working with Graphical Solutions, which build directly on this idea.
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