Free Grade 3 Pie Charts Lessons
Free Grade 3 lessons for Pie Charts: 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
Foundation
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify pie charts
Identify pie charts accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain pie charts
Explain pie charts accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate pie charts
Calculate pie charts accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare pie charts
Compare pie charts 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 Pie Charts 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 7, Blue 15, Green 2, Yellow 12. In a pie chart, what angle does Red get?[1]
- 2.In a survey: Red 14, Blue 8, Green 10, Yellow 11. In a pie chart, what angle does Blue get?[1]
- 3.In a survey: Red 8, Blue 6, Green 15, Yellow 11. In a pie chart, what angle does Green get?[1]
- 4.In a survey: Red 15, Blue 12, Green 12, Yellow 14. In a pie chart, what angle does Yellow get?[1]
- 5.In a survey: Red 13, Blue 12, Green 8, Yellow 6. In a pie chart, what angle does Green get?[2]
- 6.In a survey: Red 5, Blue 8, Green 14, Yellow 9. In a pie chart, what angle does Blue get?[2]
- 7.In a survey: Red 7, Blue 2, Green 8, Yellow 6. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 9, Blue 8, Green 12, Yellow 11. In a pie chart, what angle does Blue get?[2]
- 9.In a survey: Red 3, Blue 4, Green 6, Yellow 8. In a pie chart, what angle does Yellow get?[3]
- 10.In a survey: Red 13, Blue 5, Green 2, Yellow 2. In a pie chart, what angle does Green get?[3]
- 11.In a survey: Red 7, Blue 10, Green 3, Yellow 7. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 11, Blue 15, Green 12, Yellow 13. In a pie chart, what angle does Green get?[3]
Show answers and working
1. 70°
Total = 36. Red fraction = 7/36. 7/36 × 360° = 70°.
2. 67°
Total = 43. Blue fraction = 8/43. 8/43 × 360° = 67°.
3. 135°
Total = 40. Green fraction = 15/40. 15/40 × 360° = 135°.
4. 95.1°
Total = 53. Yellow fraction = 14/53. 14/53 × 360° = 95.1°.
5. 73.8°
Total = 39. Green fraction = 8/39. 8/39 × 360° = 73.8°.
6. 80°
Total = 36. Blue fraction = 8/36. 8/36 × 360° = 80°.
7. 31.3°
Total = 23. Blue fraction = 2/23. 2/23 × 360° = 31.3°.
8. 72°
Total = 40. Blue fraction = 8/40. 8/40 × 360° = 72°.
9. 137.1°
Total = 21. Yellow fraction = 8/21. 8/21 × 360° = 137.1°.
10. 32.7°
Total = 22. Green fraction = 2/22. 2/22 × 360° = 32.7°.
11. 40°
Total = 27. Green fraction = 3/27. 3/27 × 360° = 40°.
12. 84.7°
Total = 51. Green fraction = 12/51. 12/51 × 360° = 84.7°.
Worked examples
In a survey: Red 9, Blue 8, Green 6, Yellow 15. In a pie chart, what angle does Blue get?
- Total = 38.
- Blue fraction = 8/38.
- 8/38 × 360° = 75.8°.
- Answer: 75.8°
In a survey: Red 9, Blue 13, Green 11, Yellow 12. In a pie chart, what angle does Yellow get?
- Total = 45.
- Yellow fraction = 12/45.
- 12/45 × 360° = 96°.
- Answer: 96°
In a survey: Red 4, Blue 10, Green 6, Yellow 7. In a pie chart, what angle does Blue get?
- Total = 27.
- Blue fraction = 10/27.
- 10/27 × 360° = 133.3°.
- Answer: 133.3°
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 Pie Charts
One concept, one ecosystem — all of it free.
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The entities below this one, each with the same complete free resource set.
Sibling concepts
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Lateral links, including across subjects.
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Learn — Meet the idea.
Practice — Build fluency.
Revise — Keep it in memory.
Assess — Prove mastery.
Apply — Use it in context.
Teach — Deliver it to a class.
Frequently asked
- Is this Grade 3 Pie Charts 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 Bar Charts, Averages. 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 Pie Charts?
- Move on to Line Graphs, Scatter Graphs, Histograms, Averages, which build directly on this idea.
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