Free Grade 3 Histograms Flashcards
Free Grade 3 flashcards 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
Foundation
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 5, Blue 7, Green 8, Yellow 11. In a pie chart, what angle does Yellow get?[1]
- 2.In a survey: Red 5, Blue 3, Green 6, Yellow 3. In a pie chart, what angle does Yellow get?[1]
- 3.In a survey: Red 9, Blue 11, Green 3, Yellow 2. In a pie chart, what angle does Green get?[1]
- 4.In a survey: Red 13, Blue 8, Green 2, Yellow 10. In a pie chart, what angle does Green get?[1]
- 5.In a survey: Red 3, Blue 12, Green 3, Yellow 15. In a pie chart, what angle does Yellow get?[2]
- 6.In a survey: Red 5, Blue 9, Green 4, Yellow 13. In a pie chart, what angle does Green get?[2]
- 7.In a survey: Red 7, Blue 7, Green 5, Yellow 12. In a pie chart, what angle does Green get?[2]
- 8.In a survey: Red 7, Blue 14, Green 10, Yellow 7. In a pie chart, what angle does Green get?[2]
- 9.In a survey: Red 7, Blue 15, Green 13, Yellow 8. In a pie chart, what angle does Yellow get?[3]
- 10.In a survey: Red 7, Blue 14, Green 6, Yellow 4. In a pie chart, what angle does Red get?[3]
- 11.In a survey: Red 3, Blue 5, Green 9, Yellow 5. In a pie chart, what angle does Red get?[3]
- 12.In a survey: Red 4, Blue 5, Green 9, Yellow 7. In a pie chart, what angle does Green get?[3]
Show answers and working
1. 127.7°
Total = 31. Yellow fraction = 11/31. 11/31 × 360° = 127.7°.
2. 63.5°
Total = 17. Yellow fraction = 3/17. 3/17 × 360° = 63.5°.
3. 43.2°
Total = 25. Green fraction = 3/25. 3/25 × 360° = 43.2°.
4. 21.8°
Total = 33. Green fraction = 2/33. 2/33 × 360° = 21.8°.
5. 163.6°
Total = 33. Yellow fraction = 15/33. 15/33 × 360° = 163.6°.
6. 46.5°
Total = 31. Green fraction = 4/31. 4/31 × 360° = 46.5°.
7. 58.1°
Total = 31. Green fraction = 5/31. 5/31 × 360° = 58.1°.
8. 94.7°
Total = 38. Green fraction = 10/38. 10/38 × 360° = 94.7°.
9. 67°
Total = 43. Yellow fraction = 8/43. 8/43 × 360° = 67°.
10. 81.3°
Total = 31. Red fraction = 7/31. 7/31 × 360° = 81.3°.
11. 49.1°
Total = 22. Red fraction = 3/22. 3/22 × 360° = 49.1°.
12. 129.6°
Total = 25. Green fraction = 9/25. 9/25 × 360° = 129.6°.
Worked examples
In a survey: Red 4, Blue 12, Green 5, Yellow 2. In a pie chart, what angle does Red get?
- Total = 23.
- Red fraction = 4/23.
- 4/23 × 360° = 62.6°.
- Answer: 62.6°
In a survey: Red 3, Blue 8, Green 7, Yellow 14. In a pie chart, what angle does Yellow get?
- Total = 32.
- Yellow fraction = 14/32.
- 14/32 × 360° = 157.5°.
- Answer: 157.5°
In a survey: Red 4, Blue 9, Green 2, Yellow 10. In a pie chart, what angle does Red get?
- Total = 25.
- Red fraction = 4/25.
- 4/25 × 360° = 57.6°.
- Answer: 57.6°
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
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 Histograms flashcards really free?
- Yes. Every flashcards 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 flashcards 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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