Free Grade 3 Bar Charts Lessons
Free Grade 3 lessons for Bar 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
Core
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain bar charts
Explain bar charts accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate bar charts
Calculate bar charts accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare bar charts
Compare bar charts accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify bar charts
Justify bar 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 Bar 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 6, Blue 8, Green 9, Yellow 4. In a pie chart, what angle does Yellow get?[1]
- 2.In a survey: Red 5, Blue 13, Green 5, Yellow 11. In a pie chart, what angle does Red get?[1]
- 3.In a survey: Red 11, Blue 10, Green 14, Yellow 7. In a pie chart, what angle does Red get?[1]
- 4.In a survey: Red 12, Blue 14, Green 14, Yellow 11. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 12, Blue 11, Green 10, Yellow 4. In a pie chart, what angle does Green get?[2]
- 6.In a survey: Red 10, Blue 4, Green 4, Yellow 7. In a pie chart, what angle does Green get?[2]
- 7.In a survey: Red 8, Blue 2, Green 8, Yellow 7. In a pie chart, what angle does Green get?[2]
- 8.In a survey: Red 12, Blue 8, Green 9, Yellow 5. In a pie chart, what angle does Green get?[2]
- 9.In a survey: Red 10, Blue 9, Green 5, Yellow 14. In a pie chart, what angle does Green get?[3]
- 10.In a survey: Red 3, Blue 12, Green 15, Yellow 11. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 12, Blue 13, Green 3, Yellow 9. In a pie chart, what angle does Yellow get?[3]
- 12.In a survey: Red 14, Blue 3, Green 6, Yellow 5. In a pie chart, what angle does Blue get?[3]
Show answers and working
1. 53.3°
Total = 27. Yellow fraction = 4/27. 4/27 × 360° = 53.3°.
2. 52.9°
Total = 34. Red fraction = 5/34. 5/34 × 360° = 52.9°.
3. 94.3°
Total = 42. Red fraction = 11/42. 11/42 × 360° = 94.3°.
4. 98.8°
Total = 51. Blue fraction = 14/51. 14/51 × 360° = 98.8°.
5. 97.3°
Total = 37. Green fraction = 10/37. 10/37 × 360° = 97.3°.
6. 57.6°
Total = 25. Green fraction = 4/25. 4/25 × 360° = 57.6°.
7. 115.2°
Total = 25. Green fraction = 8/25. 8/25 × 360° = 115.2°.
8. 95.3°
Total = 34. Green fraction = 9/34. 9/34 × 360° = 95.3°.
9. 47.4°
Total = 38. Green fraction = 5/38. 5/38 × 360° = 47.4°.
10. 105.4°
Total = 41. Blue fraction = 12/41. 12/41 × 360° = 105.4°.
11. 87.6°
Total = 37. Yellow fraction = 9/37. 9/37 × 360° = 87.6°.
12. 38.6°
Total = 28. Blue fraction = 3/28. 3/28 × 360° = 38.6°.
Worked examples
In a survey: Red 9, Blue 4, Green 14, Yellow 15. In a pie chart, what angle does Yellow get?
- Total = 42.
- Yellow fraction = 15/42.
- 15/42 × 360° = 128.6°.
- Answer: 128.6°
In a survey: Red 6, Blue 6, Green 14, Yellow 8. In a pie chart, what angle does Blue get?
- Total = 34.
- Blue fraction = 6/34.
- 6/34 × 360° = 63.5°.
- Answer: 63.5°
In a survey: Red 8, Blue 13, Green 14, Yellow 12. In a pie chart, what angle does Green get?
- Total = 47.
- Green fraction = 14/47.
- 14/47 × 360° = 107.2°.
- Answer: 107.2°
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 Bar Charts
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Frequently asked
- Is this Grade 3 Bar 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 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 Bar Charts?
- Move on to Pie Charts, Line Graphs, Scatter Graphs, Histograms, which build directly on this idea.
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