Free Grade 3 Introducing Histograms Common Errors Worksheets
Free Grade 3 worksheets for Introducing Histograms Common Errors: 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
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain introducing histograms common errors
Explain introducing histograms common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing histograms common errors
Calculate introducing histograms common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing histograms common errors
Compare introducing histograms common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introducing histograms common errors
Justify introducing histograms common errors 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 Common Errors 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 9, Blue 10, Green 6, Yellow 4. In a pie chart, what angle does Blue get?[1]
- 2.In a survey: Red 13, Blue 15, Green 2, Yellow 10. In a pie chart, what angle does Blue get?[1]
- 3.In a survey: Red 8, Blue 4, Green 14, Yellow 6. In a pie chart, what angle does Green get?[1]
- 4.In a survey: Red 2, Blue 15, Green 12, Yellow 14. In a pie chart, what angle does Green get?[1]
- 5.In a survey: Red 3, Blue 12, Green 3, Yellow 6. In a pie chart, what angle does Red get?[2]
- 6.In a survey: Red 5, Blue 14, Green 14, Yellow 12. In a pie chart, what angle does Red get?[2]
- 7.In a survey: Red 11, Blue 8, Green 14, Yellow 7. In a pie chart, what angle does Green get?[2]
- 8.In a survey: Red 12, Blue 13, Green 3, Yellow 5. In a pie chart, what angle does Green get?[2]
- 9.In a survey: Red 13, Blue 8, Green 4, Yellow 10. In a pie chart, what angle does Yellow get?[3]
- 10.In a survey: Red 3, Blue 14, Green 11, Yellow 14. In a pie chart, what angle does Yellow get?[3]
- 11.In a survey: Red 15, Blue 4, Green 2, Yellow 4. In a pie chart, what angle does Blue get?[3]
- 12.In a survey: Red 12, Blue 3, Green 4, Yellow 13. In a pie chart, what angle does Blue get?[3]
Show answers and working
1. 124.1°
Total = 29. Blue fraction = 10/29. 10/29 × 360° = 124.1°.
2. 135°
Total = 40. Blue fraction = 15/40. 15/40 × 360° = 135°.
3. 157.5°
Total = 32. Green fraction = 14/32. 14/32 × 360° = 157.5°.
4. 100.5°
Total = 43. Green fraction = 12/43. 12/43 × 360° = 100.5°.
5. 45°
Total = 24. Red fraction = 3/24. 3/24 × 360° = 45°.
6. 40°
Total = 45. Red fraction = 5/45. 5/45 × 360° = 40°.
7. 126°
Total = 40. Green fraction = 14/40. 14/40 × 360° = 126°.
8. 32.7°
Total = 33. Green fraction = 3/33. 3/33 × 360° = 32.7°.
9. 102.9°
Total = 35. Yellow fraction = 10/35. 10/35 × 360° = 102.9°.
10. 120°
Total = 42. Yellow fraction = 14/42. 14/42 × 360° = 120°.
11. 57.6°
Total = 25. Blue fraction = 4/25. 4/25 × 360° = 57.6°.
12. 33.8°
Total = 32. Blue fraction = 3/32. 3/32 × 360° = 33.8°.
Worked examples
In a survey: Red 4, Blue 7, Green 15, Yellow 15. In a pie chart, what angle does Red get?
- Total = 41.
- Red fraction = 4/41.
- 4/41 × 360° = 35.1°.
- Answer: 35.1°
In a survey: Red 3, Blue 12, Green 10, Yellow 8. In a pie chart, what angle does Yellow get?
- Total = 33.
- Yellow fraction = 8/33.
- 8/33 × 360° = 87.3°.
- Answer: 87.3°
In a survey: Red 14, Blue 13, Green 5, Yellow 5. In a pie chart, what angle does Yellow get?
- Total = 37.
- Yellow fraction = 5/37.
- 5/37 × 360° = 48.6°.
- Answer: 48.6°
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.
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Frequently asked
- Is this Grade 3 Introducing Histograms Common Errors 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 Introducing Histograms Word Problems, Introducing Histograms Techniques, 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 Common Errors?
- Move on to Working with Histograms, Histograms in Context, which build directly on this idea.
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