Free Grade 3 Introducing Graphical Solutions Word Problems Lessons
Free Grade 3 lessons for Introducing Graphical Solutions 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
Core
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain introducing graphical solutions word problems
Explain introducing graphical solutions word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing graphical solutions word problems
Calculate introducing graphical solutions word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing graphical solutions word problems
Compare introducing graphical solutions word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introducing graphical solutions word problems
Justify introducing graphical solutions 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 Introducing Graphical Solutions 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 13, Blue 12, Green 9, Yellow 10. In a pie chart, what angle does Yellow get?[1]
- 2.In a survey: Red 3, Blue 4, Green 7, Yellow 8. In a pie chart, what angle does Blue get?[1]
- 3.In a survey: Red 6, Blue 7, Green 11, Yellow 9. In a pie chart, what angle does Green get?[1]
- 4.In a survey: Red 12, Blue 6, Green 4, Yellow 14. In a pie chart, what angle does Yellow get?[1]
- 5.In a survey: Red 9, Blue 13, Green 15, Yellow 12. In a pie chart, what angle does Yellow get?[2]
- 6.In a survey: Red 9, Blue 14, Green 7, Yellow 11. In a pie chart, what angle does Blue get?[2]
- 7.In a survey: Red 3, Blue 12, Green 11, Yellow 15. In a pie chart, what angle does Green get?[2]
- 8.In a survey: Red 14, Blue 12, Green 6, Yellow 12. In a pie chart, what angle does Red get?[2]
- 9.In a survey: Red 13, Blue 14, Green 14, Yellow 12. In a pie chart, what angle does Yellow get?[3]
- 10.In a survey: Red 4, Blue 10, Green 4, Yellow 8. In a pie chart, what angle does Green get?[3]
- 11.In a survey: Red 6, Blue 11, Green 2, Yellow 13. In a pie chart, what angle does Yellow get?[3]
- 12.In a survey: Red 10, Blue 12, Green 15, Yellow 7. In a pie chart, what angle does Blue get?[3]
Show answers and working
1. 81.8°
Total = 44. Yellow fraction = 10/44. 10/44 × 360° = 81.8°.
2. 65.5°
Total = 22. Blue fraction = 4/22. 4/22 × 360° = 65.5°.
3. 120°
Total = 33. Green fraction = 11/33. 11/33 × 360° = 120°.
4. 140°
Total = 36. Yellow fraction = 14/36. 14/36 × 360° = 140°.
5. 88.2°
Total = 49. Yellow fraction = 12/49. 12/49 × 360° = 88.2°.
6. 122.9°
Total = 41. Blue fraction = 14/41. 14/41 × 360° = 122.9°.
7. 96.6°
Total = 41. Green fraction = 11/41. 11/41 × 360° = 96.6°.
8. 114.5°
Total = 44. Red fraction = 14/44. 14/44 × 360° = 114.5°.
9. 81.5°
Total = 53. Yellow fraction = 12/53. 12/53 × 360° = 81.5°.
10. 55.4°
Total = 26. Green fraction = 4/26. 4/26 × 360° = 55.4°.
11. 146.3°
Total = 32. Yellow fraction = 13/32. 13/32 × 360° = 146.3°.
12. 98.2°
Total = 44. Blue fraction = 12/44. 12/44 × 360° = 98.2°.
Worked examples
In a survey: Red 14, Blue 7, Green 7, Yellow 9. In a pie chart, what angle does Red get?
- Total = 37.
- Red fraction = 14/37.
- 14/37 × 360° = 136.2°.
- Answer: 136.2°
In a survey: Red 10, Blue 13, Green 4, Yellow 13. In a pie chart, what angle does Red get?
- Total = 40.
- Red fraction = 10/40.
- 10/40 × 360° = 90°.
- Answer: 90°
In a survey: Red 12, Blue 11, Green 12, Yellow 11. In a pie chart, what angle does Green get?
- Total = 46.
- Green fraction = 12/46.
- 12/46 × 360° = 93.9°.
- Answer: 93.9°
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 Introducing Graphical Solutions Word Problems 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 Introducing Graphical Solutions Techniques, Introducing Graphical Solutions Essentials, Substitution Method. 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 Introducing Graphical Solutions Word Problems?
- Move on to Introducing Graphical Solutions Common Errors, Working with Graphical Solutions, Graphical Solutions in Context, which build directly on this idea.
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