Free Grade 3 Histograms Lessons
Free Grade 3 lessons for Histograms: 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
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain histograms
Explain histograms accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate histograms
Calculate histograms accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare histograms
Compare histograms accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify histograms
Justify histograms 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 Histograms 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 4, Blue 12, Green 5, Yellow 15. In a pie chart, what angle does Yellow get?[1]
- 2.In a survey: Red 4, Blue 4, Green 10, Yellow 13. In a pie chart, what angle does Yellow get?[1]
- 3.In a survey: Red 4, Blue 4, Green 4, Yellow 10. In a pie chart, what angle does Red get?[1]
- 4.In a survey: Red 6, Blue 6, Green 7, Yellow 15. In a pie chart, what angle does Red get?[1]
- 5.In a survey: Red 12, Blue 7, Green 11, Yellow 5. In a pie chart, what angle does Blue get?[2]
- 6.In a survey: Red 6, Blue 5, Green 13, Yellow 6. In a pie chart, what angle does Green get?[2]
- 7.In a survey: Red 10, Blue 3, Green 7, Yellow 14. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 6, Blue 5, Green 7, Yellow 4. In a pie chart, what angle does Blue get?[2]
- 9.In a survey: Red 6, Blue 3, Green 5, Yellow 3. In a pie chart, what angle does Blue get?[3]
- 10.In a survey: Red 4, Blue 5, Green 8, Yellow 5. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 10, Blue 8, Green 5, Yellow 10. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 7, Blue 13, Green 3, Yellow 2. In a pie chart, what angle does Red get?[3]
Show answers and working
1. 150°
Total = 36. Yellow fraction = 15/36. 15/36 × 360° = 150°.
2. 151°
Total = 31. Yellow fraction = 13/31. 13/31 × 360° = 151°.
3. 65.5°
Total = 22. Red fraction = 4/22. 4/22 × 360° = 65.5°.
4. 63.5°
Total = 34. Red fraction = 6/34. 6/34 × 360° = 63.5°.
5. 72°
Total = 35. Blue fraction = 7/35. 7/35 × 360° = 72°.
6. 156°
Total = 30. Green fraction = 13/30. 13/30 × 360° = 156°.
7. 31.8°
Total = 34. Blue fraction = 3/34. 3/34 × 360° = 31.8°.
8. 81.8°
Total = 22. Blue fraction = 5/22. 5/22 × 360° = 81.8°.
9. 63.5°
Total = 17. Blue fraction = 3/17. 3/17 × 360° = 63.5°.
10. 81.8°
Total = 22. Blue fraction = 5/22. 5/22 × 360° = 81.8°.
11. 54.5°
Total = 33. Green fraction = 5/33. 5/33 × 360° = 54.5°.
12. 100.8°
Total = 25. Red fraction = 7/25. 7/25 × 360° = 100.8°.
Worked examples
In a survey: Red 12, Blue 15, Green 13, Yellow 13. In a pie chart, what angle does Yellow get?
- Total = 53.
- Yellow fraction = 13/53.
- 13/53 × 360° = 88.3°.
- Answer: 88.3°
In a survey: Red 6, Blue 9, Green 6, Yellow 3. In a pie chart, what angle does Green get?
- Total = 24.
- Green fraction = 6/24.
- 6/24 × 360° = 90°.
- Answer: 90°
In a survey: Red 11, Blue 10, Green 7, Yellow 9. In a pie chart, what angle does Yellow get?
- Total = 37.
- Yellow fraction = 9/37.
- 9/37 × 360° = 87.6°.
- Answer: 87.6°
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 Histograms
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The entities below this one, each with the same complete free resource set.
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Lateral links, including across subjects.
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Learn — Meet the idea.
Practice — Build fluency.
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Frequently asked
- Is this Grade 3 Histograms 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 Scatter Graphs, Line Graphs, 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 Histograms?
- Move on to Averages, Data Collection, which build directly on this idea.
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