Free Grade 3 Working with Histograms Common Errors Lessons
Free Grade 3 lessons for Working with 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
Stretch
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with histograms common errors
Explain working with histograms common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with histograms common errors
Calculate working with histograms common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with histograms common errors
Compare working with histograms common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with histograms common errors
Justify working with 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 Working with 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 2, Blue 5, Green 5, Yellow 14. In a pie chart, what angle does Yellow get?[1]
- 2.In a survey: Red 11, Blue 12, Green 5, Yellow 2. In a pie chart, what angle does Red get?[1]
- 3.In a survey: Red 10, Blue 3, Green 9, Yellow 9. In a pie chart, what angle does Green get?[1]
- 4.In a survey: Red 7, Blue 11, Green 5, Yellow 2. In a pie chart, what angle does Red get?[1]
- 5.In a survey: Red 12, Blue 5, Green 5, Yellow 13. In a pie chart, what angle does Blue get?[2]
- 6.In a survey: Red 6, Blue 10, Green 2, Yellow 3. In a pie chart, what angle does Red get?[2]
- 7.In a survey: Red 6, Blue 11, Green 14, Yellow 8. In a pie chart, what angle does Red get?[2]
- 8.In a survey: Red 9, Blue 15, Green 4, Yellow 7. In a pie chart, what angle does Yellow get?[2]
- 9.In a survey: Red 4, Blue 15, Green 7, Yellow 10. In a pie chart, what angle does Blue get?[3]
- 10.In a survey: Red 8, Blue 8, Green 12, Yellow 15. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 5, Blue 8, Green 9, Yellow 10. In a pie chart, what angle does Yellow get?[3]
- 12.In a survey: Red 3, Blue 11, Green 8, Yellow 7. In a pie chart, what angle does Yellow get?[3]
Show answers and working
1. 193.8°
Total = 26. Yellow fraction = 14/26. 14/26 × 360° = 193.8°.
2. 132°
Total = 30. Red fraction = 11/30. 11/30 × 360° = 132°.
3. 104.5°
Total = 31. Green fraction = 9/31. 9/31 × 360° = 104.5°.
4. 100.8°
Total = 25. Red fraction = 7/25. 7/25 × 360° = 100.8°.
5. 51.4°
Total = 35. Blue fraction = 5/35. 5/35 × 360° = 51.4°.
6. 102.9°
Total = 21. Red fraction = 6/21. 6/21 × 360° = 102.9°.
7. 55.4°
Total = 39. Red fraction = 6/39. 6/39 × 360° = 55.4°.
8. 72°
Total = 35. Yellow fraction = 7/35. 7/35 × 360° = 72°.
9. 150°
Total = 36. Blue fraction = 15/36. 15/36 × 360° = 150°.
10. 67°
Total = 43. Blue fraction = 8/43. 8/43 × 360° = 67°.
11. 112.5°
Total = 32. Yellow fraction = 10/32. 10/32 × 360° = 112.5°.
12. 86.9°
Total = 29. Yellow fraction = 7/29. 7/29 × 360° = 86.9°.
Worked examples
In a survey: Red 12, Blue 11, Green 10, Yellow 6. In a pie chart, what angle does Red get?
- Total = 39.
- Red fraction = 12/39.
- 12/39 × 360° = 110.8°.
- Answer: 110.8°
In a survey: Red 9, Blue 8, Green 6, Yellow 8. In a pie chart, what angle does Red get?
- Total = 31.
- Red fraction = 9/31.
- 9/31 × 360° = 104.5°.
- Answer: 104.5°
In a survey: Red 14, Blue 2, Green 4, Yellow 3. In a pie chart, what angle does Red get?
- Total = 23.
- Red fraction = 14/23.
- 14/23 × 360° = 219.1°.
- Answer: 219.1°
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 Working with Histograms Common Errors 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 Working with Histograms Word Problems, Working with Histograms Techniques, Introducing Histograms. 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 Working with Histograms Common Errors?
- Move on to Introducing Histograms, Histograms in Context, which build directly on this idea.
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