Free Grade 3 Introducing Histograms Worksheets
Free Grade 3 worksheets 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
25 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 8, Blue 12, Green 15, Yellow 12. In a pie chart, what angle does Yellow get?[1]
- 2.In a survey: Red 13, Blue 5, Green 12, Yellow 8. In a pie chart, what angle does Blue get?[1]
- 3.In a survey: Red 14, Blue 3, Green 3, Yellow 4. In a pie chart, what angle does Green get?[1]
- 4.In a survey: Red 6, Blue 6, Green 6, Yellow 6. In a pie chart, what angle does Yellow get?[1]
- 5.In a survey: Red 3, Blue 6, Green 6, Yellow 14. In a pie chart, what angle does Blue get?[2]
- 6.In a survey: Red 14, Blue 5, Green 15, Yellow 11. In a pie chart, what angle does Yellow get?[2]
- 7.In a survey: Red 12, Blue 7, Green 4, Yellow 7. In a pie chart, what angle does Green get?[2]
- 8.In a survey: Red 15, Blue 15, Green 2, Yellow 15. In a pie chart, what angle does Red get?[2]
- 9.In a survey: Red 6, Blue 13, Green 6, Yellow 14. In a pie chart, what angle does Green get?[3]
- 10.In a survey: Red 4, Blue 14, Green 13, Yellow 6. In a pie chart, what angle does Green get?[3]
- 11.In a survey: Red 14, Blue 4, Green 11, Yellow 5. In a pie chart, what angle does Blue get?[3]
- 12.In a survey: Red 3, Blue 2, Green 7, Yellow 7. In a pie chart, what angle does Blue get?[3]
Show answers and working
1. 91.9°
Total = 47. Yellow fraction = 12/47. 12/47 × 360° = 91.9°.
2. 47.4°
Total = 38. Blue fraction = 5/38. 5/38 × 360° = 47.4°.
3. 45°
Total = 24. Green fraction = 3/24. 3/24 × 360° = 45°.
4. 90°
Total = 24. Yellow fraction = 6/24. 6/24 × 360° = 90°.
5. 74.5°
Total = 29. Blue fraction = 6/29. 6/29 × 360° = 74.5°.
6. 88°
Total = 45. Yellow fraction = 11/45. 11/45 × 360° = 88°.
7. 48°
Total = 30. Green fraction = 4/30. 4/30 × 360° = 48°.
8. 114.9°
Total = 47. Red fraction = 15/47. 15/47 × 360° = 114.9°.
9. 55.4°
Total = 39. Green fraction = 6/39. 6/39 × 360° = 55.4°.
10. 126.5°
Total = 37. Green fraction = 13/37. 13/37 × 360° = 126.5°.
11. 42.4°
Total = 34. Blue fraction = 4/34. 4/34 × 360° = 42.4°.
12. 37.9°
Total = 19. Blue fraction = 2/19. 2/19 × 360° = 37.9°.
Worked examples
In a survey: Red 12, Blue 2, Green 11, Yellow 11. In a pie chart, what angle does Green get?
- Total = 36.
- Green fraction = 11/36.
- 11/36 × 360° = 110°.
- Answer: 110°
In a survey: Red 5, Blue 15, Green 14, Yellow 11. In a pie chart, what angle does Blue get?
- Total = 45.
- Blue fraction = 15/45.
- 15/45 × 360° = 120°.
- Answer: 120°
In a survey: Red 9, Blue 10, Green 15, Yellow 14. In a pie chart, what angle does Yellow get?
- Total = 48.
- Yellow fraction = 14/48.
- 14/48 × 360° = 105°.
- Answer: 105°
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 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. 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 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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