Free Grade 3 Introducing Histograms Common Errors Quizzes
Free Grade 3 quizzes 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
Foundation
30 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 15, Blue 10, Green 13, Yellow 5. In a pie chart, what angle does Blue get?[1]
- 2.In a survey: Red 13, Blue 15, Green 14, Yellow 4. In a pie chart, what angle does Yellow get?[1]
- 3.In a survey: Red 12, Blue 7, Green 8, Yellow 12. In a pie chart, what angle does Yellow get?[1]
- 4.In a survey: Red 11, Blue 8, Green 3, Yellow 4. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 4, Blue 14, Green 4, Yellow 10. In a pie chart, what angle does Yellow get?[2]
- 6.In a survey: Red 8, Blue 4, Green 11, Yellow 7. In a pie chart, what angle does Green get?[2]
- 7.In a survey: Red 11, Blue 15, Green 12, Yellow 14. In a pie chart, what angle does Yellow get?[2]
- 8.In a survey: Red 4, Blue 15, Green 6, Yellow 14. In a pie chart, what angle does Blue get?[2]
- 9.In a survey: Red 5, Blue 11, Green 2, Yellow 15. In a pie chart, what angle does Green get?[3]
- 10.In a survey: Red 14, Blue 11, Green 11, Yellow 12. In a pie chart, what angle does Yellow get?[3]
- 11.In a survey: Red 13, Blue 6, Green 7, Yellow 8. In a pie chart, what angle does Red get?[3]
- 12.In a survey: Red 3, Blue 15, Green 11, Yellow 6. In a pie chart, what angle does Red get?[3]
Show answers and working
1. 83.7°
Total = 43. Blue fraction = 10/43. 10/43 × 360° = 83.7°.
2. 31.3°
Total = 46. Yellow fraction = 4/46. 4/46 × 360° = 31.3°.
3. 110.8°
Total = 39. Yellow fraction = 12/39. 12/39 × 360° = 110.8°.
4. 110.8°
Total = 26. Blue fraction = 8/26. 8/26 × 360° = 110.8°.
5. 112.5°
Total = 32. Yellow fraction = 10/32. 10/32 × 360° = 112.5°.
6. 132°
Total = 30. Green fraction = 11/30. 11/30 × 360° = 132°.
7. 96.9°
Total = 52. Yellow fraction = 14/52. 14/52 × 360° = 96.9°.
8. 138.5°
Total = 39. Blue fraction = 15/39. 15/39 × 360° = 138.5°.
9. 21.8°
Total = 33. Green fraction = 2/33. 2/33 × 360° = 21.8°.
10. 90°
Total = 48. Yellow fraction = 12/48. 12/48 × 360° = 90°.
11. 137.6°
Total = 34. Red fraction = 13/34. 13/34 × 360° = 137.6°.
12. 30.9°
Total = 35. Red fraction = 3/35. 3/35 × 360° = 30.9°.
Worked examples
In a survey: Red 6, Blue 5, Green 12, Yellow 7. In a pie chart, what angle does Yellow get?
- Total = 30.
- Yellow fraction = 7/30.
- 7/30 × 360° = 84°.
- Answer: 84°
In a survey: Red 4, Blue 2, Green 13, Yellow 4. In a pie chart, what angle does Blue get?
- Total = 23.
- Blue fraction = 2/23.
- 2/23 × 360° = 31.3°.
- Answer: 31.3°
In a survey: Red 9, Blue 3, Green 7, Yellow 9. In a pie chart, what angle does Yellow get?
- Total = 28.
- Yellow fraction = 9/28.
- 9/28 × 360° = 115.7°.
- Answer: 115.7°
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 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 Introducing Histograms Word Problems, Introducing Histograms Techniques, Scatter Graphs. 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 Introducing Histograms Common Errors?
- Move on to Working with Histograms, Histograms in Context, which build directly on this idea.
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