Free Grade 3 Introducing Histograms Lessons
Free Grade 3 lessons 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
Higher
15 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 14, Blue 15, Green 7, Yellow 6. In a pie chart, what angle does Blue get?[1]
- 2.In a survey: Red 15, Blue 10, Green 11, Yellow 7. In a pie chart, what angle does Red get?[1]
- 3.In a survey: Red 13, Blue 4, Green 13, Yellow 15. In a pie chart, what angle does Blue get?[1]
- 4.In a survey: Red 8, Blue 4, Green 11, Yellow 10. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 13, Blue 11, Green 14, Yellow 12. In a pie chart, what angle does Yellow get?[2]
- 6.In a survey: Red 10, Blue 6, Green 10, Yellow 11. In a pie chart, what angle does Red get?[2]
- 7.In a survey: Red 7, Blue 15, Green 8, Yellow 8. In a pie chart, what angle does Yellow get?[2]
- 8.In a survey: Red 8, Blue 10, Green 14, Yellow 6. In a pie chart, what angle does Red get?[2]
- 9.In a survey: Red 13, Blue 9, Green 6, Yellow 11. In a pie chart, what angle does Red get?[3]
- 10.In a survey: Red 11, Blue 13, Green 9, Yellow 14. In a pie chart, what angle does Green get?[3]
- 11.In a survey: Red 6, Blue 6, Green 2, Yellow 15. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 4, Blue 7, Green 14, Yellow 7. In a pie chart, what angle does Red get?[3]
Show answers and working
1. 128.6°
Total = 42. Blue fraction = 15/42. 15/42 × 360° = 128.6°.
2. 125.6°
Total = 43. Red fraction = 15/43. 15/43 × 360° = 125.6°.
3. 32°
Total = 45. Blue fraction = 4/45. 4/45 × 360° = 32°.
4. 43.6°
Total = 33. Blue fraction = 4/33. 4/33 × 360° = 43.6°.
5. 86.4°
Total = 50. Yellow fraction = 12/50. 12/50 × 360° = 86.4°.
6. 97.3°
Total = 37. Red fraction = 10/37. 10/37 × 360° = 97.3°.
7. 75.8°
Total = 38. Yellow fraction = 8/38. 8/38 × 360° = 75.8°.
8. 75.8°
Total = 38. Red fraction = 8/38. 8/38 × 360° = 75.8°.
9. 120°
Total = 39. Red fraction = 13/39. 13/39 × 360° = 120°.
10. 68.9°
Total = 47. Green fraction = 9/47. 9/47 × 360° = 68.9°.
11. 24.8°
Total = 29. Green fraction = 2/29. 2/29 × 360° = 24.8°.
12. 45°
Total = 32. Red fraction = 4/32. 4/32 × 360° = 45°.
Worked examples
In a survey: Red 10, Blue 3, Green 5, Yellow 6. In a pie chart, what angle does Green get?
- Total = 24.
- Green fraction = 5/24.
- 5/24 × 360° = 75°.
- Answer: 75°
In a survey: Red 6, Blue 7, Green 5, Yellow 7. In a pie chart, what angle does Green get?
- Total = 25.
- Green fraction = 5/25.
- 5/25 × 360° = 72°.
- Answer: 72°
In a survey: Red 4, Blue 2, Green 9, Yellow 2. In a pie chart, what angle does Blue get?
- Total = 17.
- Blue fraction = 2/17.
- 2/17 × 360° = 42.4°.
- Answer: 42.4°
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 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. 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 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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