Free Grade 3 Working with Histograms Common Errors Quizzes
Free Grade 3 quizzes 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
Higher
25 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 9, Green 3, Yellow 3. In a pie chart, what angle does Red get?[1]
- 2.In a survey: Red 11, Blue 15, Green 14, Yellow 10. In a pie chart, what angle does Yellow get?[1]
- 3.In a survey: Red 8, Blue 8, Green 7, Yellow 3. In a pie chart, what angle does Green get?[1]
- 4.In a survey: Red 5, Blue 14, Green 3, Yellow 4. In a pie chart, what angle does Green get?[1]
- 5.In a survey: Red 6, Blue 6, Green 2, Yellow 11. In a pie chart, what angle does Yellow get?[2]
- 6.In a survey: Red 11, Blue 8, Green 11, Yellow 8. In a pie chart, what angle does Green get?[2]
- 7.In a survey: Red 15, Blue 14, Green 8, Yellow 12. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 9, Blue 7, Green 4, Yellow 12. In a pie chart, what angle does Yellow get?[2]
- 9.In a survey: Red 10, Blue 12, Green 14, Yellow 5. In a pie chart, what angle does Red get?[3]
- 10.In a survey: Red 13, Blue 13, Green 15, Yellow 9. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 7, Blue 7, Green 14, Yellow 8. In a pie chart, what angle does Blue get?[3]
- 12.In a survey: Red 7, Blue 14, Green 14, Yellow 8. In a pie chart, what angle does Yellow get?[3]
Show answers and working
1. 42.4°
Total = 17. Red fraction = 2/17. 2/17 × 360° = 42.4°.
2. 72°
Total = 50. Yellow fraction = 10/50. 10/50 × 360° = 72°.
3. 96.9°
Total = 26. Green fraction = 7/26. 7/26 × 360° = 96.9°.
4. 41.5°
Total = 26. Green fraction = 3/26. 3/26 × 360° = 41.5°.
5. 158.4°
Total = 25. Yellow fraction = 11/25. 11/25 × 360° = 158.4°.
6. 104.2°
Total = 38. Green fraction = 11/38. 11/38 × 360° = 104.2°.
7. 102.9°
Total = 49. Blue fraction = 14/49. 14/49 × 360° = 102.9°.
8. 135°
Total = 32. Yellow fraction = 12/32. 12/32 × 360° = 135°.
9. 87.8°
Total = 41. Red fraction = 10/41. 10/41 × 360° = 87.8°.
10. 93.6°
Total = 50. Blue fraction = 13/50. 13/50 × 360° = 93.6°.
11. 70°
Total = 36. Blue fraction = 7/36. 7/36 × 360° = 70°.
12. 67°
Total = 43. Yellow fraction = 8/43. 8/43 × 360° = 67°.
Worked examples
In a survey: Red 15, Blue 15, Green 13, Yellow 14. In a pie chart, what angle does Green get?
- Total = 57.
- Green fraction = 13/57.
- 13/57 × 360° = 82.1°.
- Answer: 82.1°
In a survey: Red 14, Blue 13, Green 14, Yellow 9. In a pie chart, what angle does Green get?
- Total = 50.
- Green fraction = 14/50.
- 14/50 × 360° = 100.8°.
- Answer: 100.8°
In a survey: Red 4, Blue 8, Green 2, Yellow 5. In a pie chart, what angle does Green get?
- Total = 19.
- Green fraction = 2/19.
- 2/19 × 360° = 37.9°.
- Answer: 37.9°
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 quiz really free?
- Yes. Every quizzes 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 quiz 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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