Free Grade 3 Histograms Worksheets
Free Grade 3 worksheets 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
25 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 6, Blue 11, Green 5, Yellow 3. In a pie chart, what angle does Red get?[1]
- 2.In a survey: Red 13, Blue 10, Green 9, Yellow 11. In a pie chart, what angle does Green get?[1]
- 3.In a survey: Red 13, Blue 15, Green 14, Yellow 5. In a pie chart, what angle does Green get?[1]
- 4.In a survey: Red 10, Blue 4, Green 15, Yellow 3. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 15, Blue 8, Green 11, Yellow 4. In a pie chart, what angle does Green get?[2]
- 6.In a survey: Red 3, Blue 2, Green 4, Yellow 10. In a pie chart, what angle does Green get?[2]
- 7.In a survey: Red 8, Blue 14, Green 5, Yellow 15. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 3, Blue 4, Green 3, Yellow 5. In a pie chart, what angle does Red get?[2]
- 9.In a survey: Red 6, Blue 7, Green 10, Yellow 6. In a pie chart, what angle does Red get?[3]
- 10.In a survey: Red 9, Blue 12, Green 11, Yellow 7. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 9, Blue 3, Green 15, Yellow 14. In a pie chart, what angle does Red get?[3]
- 12.In a survey: Red 10, Blue 12, Green 3, Yellow 2. In a pie chart, what angle does Blue get?[3]
Show answers and working
1. 86.4°
Total = 25. Red fraction = 6/25. 6/25 × 360° = 86.4°.
2. 75.3°
Total = 43. Green fraction = 9/43. 9/43 × 360° = 75.3°.
3. 107.2°
Total = 47. Green fraction = 14/47. 14/47 × 360° = 107.2°.
4. 45°
Total = 32. Blue fraction = 4/32. 4/32 × 360° = 45°.
5. 104.2°
Total = 38. Green fraction = 11/38. 11/38 × 360° = 104.2°.
6. 75.8°
Total = 19. Green fraction = 4/19. 4/19 × 360° = 75.8°.
7. 120°
Total = 42. Blue fraction = 14/42. 14/42 × 360° = 120°.
8. 72°
Total = 15. Red fraction = 3/15. 3/15 × 360° = 72°.
9. 74.5°
Total = 29. Red fraction = 6/29. 6/29 × 360° = 74.5°.
10. 110.8°
Total = 39. Blue fraction = 12/39. 12/39 × 360° = 110.8°.
11. 79°
Total = 41. Red fraction = 9/41. 9/41 × 360° = 79°.
12. 160°
Total = 27. Blue fraction = 12/27. 12/27 × 360° = 160°.
Worked examples
In a survey: Red 11, Blue 2, Green 4, Yellow 12. In a pie chart, what angle does Red get?
- Total = 29.
- Red fraction = 11/29.
- 11/29 × 360° = 136.6°.
- Answer: 136.6°
In a survey: Red 8, Blue 6, Green 14, Yellow 10. In a pie chart, what angle does Green get?
- Total = 38.
- Green fraction = 14/38.
- 14/38 × 360° = 132.6°.
- Answer: 132.6°
In a survey: Red 4, Blue 3, Green 9, Yellow 14. In a pie chart, what angle does Blue get?
- Total = 30.
- Blue fraction = 3/30.
- 3/30 × 360° = 36°.
- Answer: 36°
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
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.
Next topics
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Learn — Meet the idea.
Practice — Build fluency.
Revise — Keep it in memory.
Assess — Prove mastery.
Apply — Use it in context.
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Frequently asked
- Is this Grade 3 Histograms worksheet really free?
- Yes. Every worksheets 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 worksheet 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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