Free Grade 3 Histograms Lesson Plans
Free Grade 3 lesson plans 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
Core
30 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 9, Blue 11, Green 7, Yellow 14. In a pie chart, what angle does Green get?[1]
- 2.In a survey: Red 7, Blue 11, Green 3, Yellow 4. In a pie chart, what angle does Blue get?[1]
- 3.In a survey: Red 10, Blue 7, Green 15, Yellow 5. In a pie chart, what angle does Blue get?[1]
- 4.In a survey: Red 11, Blue 15, Green 7, Yellow 15. In a pie chart, what angle does Yellow get?[1]
- 5.In a survey: Red 4, Blue 4, Green 6, Yellow 13. In a pie chart, what angle does Green get?[2]
- 6.In a survey: Red 14, Blue 15, Green 9, Yellow 5. In a pie chart, what angle does Red get?[2]
- 7.In a survey: Red 13, Blue 11, Green 12, Yellow 15. In a pie chart, what angle does Green get?[2]
- 8.In a survey: Red 2, Blue 11, Green 6, Yellow 4. In a pie chart, what angle does Red get?[2]
- 9.In a survey: Red 5, Blue 3, Green 10, Yellow 13. In a pie chart, what angle does Green get?[3]
- 10.In a survey: Red 3, Blue 2, Green 5, Yellow 13. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 7, Blue 2, Green 6, Yellow 12. In a pie chart, what angle does Red get?[3]
- 12.In a survey: Red 12, Blue 11, Green 11, Yellow 2. In a pie chart, what angle does Blue get?[3]
Show answers and working
1. 61.5°
Total = 41. Green fraction = 7/41. 7/41 × 360° = 61.5°.
2. 158.4°
Total = 25. Blue fraction = 11/25. 11/25 × 360° = 158.4°.
3. 68.1°
Total = 37. Blue fraction = 7/37. 7/37 × 360° = 68.1°.
4. 112.5°
Total = 48. Yellow fraction = 15/48. 15/48 × 360° = 112.5°.
5. 80°
Total = 27. Green fraction = 6/27. 6/27 × 360° = 80°.
6. 117.2°
Total = 43. Red fraction = 14/43. 14/43 × 360° = 117.2°.
7. 84.7°
Total = 51. Green fraction = 12/51. 12/51 × 360° = 84.7°.
8. 31.3°
Total = 23. Red fraction = 2/23. 2/23 × 360° = 31.3°.
9. 116.1°
Total = 31. Green fraction = 10/31. 10/31 × 360° = 116.1°.
10. 31.3°
Total = 23. Blue fraction = 2/23. 2/23 × 360° = 31.3°.
11. 93.3°
Total = 27. Red fraction = 7/27. 7/27 × 360° = 93.3°.
12. 110°
Total = 36. Blue fraction = 11/36. 11/36 × 360° = 110°.
Worked examples
In a survey: Red 8, Blue 14, Green 6, Yellow 5. In a pie chart, what angle does Red get?
- Total = 33.
- Red fraction = 8/33.
- 8/33 × 360° = 87.3°.
- Answer: 87.3°
In a survey: Red 14, Blue 8, Green 5, Yellow 9. In a pie chart, what angle does Yellow get?
- Total = 36.
- Yellow fraction = 9/36.
- 9/36 × 360° = 90°.
- Answer: 90°
In a survey: Red 10, Blue 10, Green 15, Yellow 13. In a pie chart, what angle does Red get?
- Total = 48.
- Red fraction = 10/48.
- 10/48 × 360° = 75°.
- Answer: 75°
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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Frequently asked
- Is this Grade 3 Histograms lesson plan really free?
- Yes. Every lesson plans 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 plan 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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