Free Grade 3 Introducing Histograms Flashcards
Free Grade 3 flashcards for Introducing 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.
- RememberIdentify introducing histograms
Identify introducing histograms accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain introducing histograms
Explain introducing histograms accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing histograms
Calculate introducing histograms accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing histograms
Compare introducing 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 Introducing 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 10, Blue 12, Green 14, Yellow 6. In a pie chart, what angle does Yellow get?[1]
- 2.In a survey: Red 14, Blue 14, Green 9, Yellow 3. In a pie chart, what angle does Green get?[1]
- 3.In a survey: Red 5, Blue 3, Green 7, Yellow 11. In a pie chart, what angle does Green get?[1]
- 4.In a survey: Red 7, Blue 10, Green 2, Yellow 4. In a pie chart, what angle does Red get?[1]
- 5.In a survey: Red 6, Blue 15, Green 4, Yellow 7. In a pie chart, what angle does Green get?[2]
- 6.In a survey: Red 2, Blue 6, Green 6, Yellow 14. In a pie chart, what angle does Blue get?[2]
- 7.In a survey: Red 8, Blue 13, Green 15, Yellow 11. In a pie chart, what angle does Green get?[2]
- 8.In a survey: Red 2, Blue 2, Green 5, Yellow 7. In a pie chart, what angle does Green get?[2]
- 9.In a survey: Red 15, Blue 12, Green 4, Yellow 8. In a pie chart, what angle does Green get?[3]
- 10.In a survey: Red 3, Blue 4, Green 9, Yellow 15. In a pie chart, what angle does Yellow get?[3]
- 11.In a survey: Red 8, Blue 13, Green 12, Yellow 7. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 3, Blue 2, Green 13, Yellow 5. In a pie chart, what angle does Green get?[3]
Show answers and working
1. 51.4°
Total = 42. Yellow fraction = 6/42. 6/42 × 360° = 51.4°.
2. 81°
Total = 40. Green fraction = 9/40. 9/40 × 360° = 81°.
3. 96.9°
Total = 26. Green fraction = 7/26. 7/26 × 360° = 96.9°.
4. 109.6°
Total = 23. Red fraction = 7/23. 7/23 × 360° = 109.6°.
5. 45°
Total = 32. Green fraction = 4/32. 4/32 × 360° = 45°.
6. 77.1°
Total = 28. Blue fraction = 6/28. 6/28 × 360° = 77.1°.
7. 114.9°
Total = 47. Green fraction = 15/47. 15/47 × 360° = 114.9°.
8. 112.5°
Total = 16. Green fraction = 5/16. 5/16 × 360° = 112.5°.
9. 36.9°
Total = 39. Green fraction = 4/39. 4/39 × 360° = 36.9°.
10. 174.2°
Total = 31. Yellow fraction = 15/31. 15/31 × 360° = 174.2°.
11. 108°
Total = 40. Green fraction = 12/40. 12/40 × 360° = 108°.
12. 203.5°
Total = 23. Green fraction = 13/23. 13/23 × 360° = 203.5°.
Worked examples
In a survey: Red 12, Blue 3, Green 7, Yellow 8. In a pie chart, what angle does Green get?
- Total = 30.
- Green fraction = 7/30.
- 7/30 × 360° = 84°.
- Answer: 84°
In a survey: Red 12, Blue 2, Green 6, Yellow 2. In a pie chart, what angle does Red get?
- Total = 22.
- Red fraction = 12/22.
- 12/22 × 360° = 196.4°.
- Answer: 196.4°
In a survey: Red 13, Blue 4, Green 8, Yellow 5. In a pie chart, what angle does Yellow get?
- Total = 30.
- Yellow fraction = 5/30.
- 5/30 × 360° = 60°.
- Answer: 60°
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 Introducing Histograms
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Frequently asked
- Is this Grade 3 Introducing 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. 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 Introducing Histograms?
- Move on to Working with Histograms, Histograms in Context, Bar Charts, Pie Charts, which build directly on this idea.
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