Free Grade 3 Working with Line Graphs Quizzes
Free Grade 3 quizzes for Working with Line Graphs: 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
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify working with line graphs
Identify working with line graphs accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with line graphs
Explain working with line graphs accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with line graphs
Calculate working with line graphs accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with line graphs
Compare working with line graphs 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 Line Graphs 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 5, Blue 5, Green 2, Yellow 14. In a pie chart, what angle does Blue get?[1]
- 2.In a survey: Red 3, Blue 14, Green 14, Yellow 2. In a pie chart, what angle does Green get?[1]
- 3.In a survey: Red 12, Blue 6, Green 3, Yellow 10. In a pie chart, what angle does Green get?[1]
- 4.In a survey: Red 14, Blue 9, Green 10, Yellow 7. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 7, Blue 13, Green 6, Yellow 3. In a pie chart, what angle does Blue get?[2]
- 6.In a survey: Red 14, Blue 8, Green 6, Yellow 14. In a pie chart, what angle does Red get?[2]
- 7.In a survey: Red 13, Blue 4, Green 7, Yellow 13. In a pie chart, what angle does Yellow get?[2]
- 8.In a survey: Red 12, Blue 14, Green 9, Yellow 12. In a pie chart, what angle does Blue get?[2]
- 9.In a survey: Red 8, Blue 13, Green 10, Yellow 15. In a pie chart, what angle does Yellow get?[3]
- 10.In a survey: Red 12, Blue 13, Green 15, Yellow 3. In a pie chart, what angle does Red get?[3]
- 11.In a survey: Red 15, Blue 3, Green 8, Yellow 14. In a pie chart, what angle does Yellow get?[3]
- 12.In a survey: Red 10, Blue 9, Green 10, Yellow 12. In a pie chart, what angle does Green get?[3]
Show answers and working
1. 69.2°
Total = 26. Blue fraction = 5/26. 5/26 × 360° = 69.2°.
2. 152.7°
Total = 33. Green fraction = 14/33. 14/33 × 360° = 152.7°.
3. 34.8°
Total = 31. Green fraction = 3/31. 3/31 × 360° = 34.8°.
4. 81°
Total = 40. Blue fraction = 9/40. 9/40 × 360° = 81°.
5. 161.4°
Total = 29. Blue fraction = 13/29. 13/29 × 360° = 161.4°.
6. 120°
Total = 42. Red fraction = 14/42. 14/42 × 360° = 120°.
7. 126.5°
Total = 37. Yellow fraction = 13/37. 13/37 × 360° = 126.5°.
8. 107.2°
Total = 47. Blue fraction = 14/47. 14/47 × 360° = 107.2°.
9. 117.4°
Total = 46. Yellow fraction = 15/46. 15/46 × 360° = 117.4°.
10. 100.5°
Total = 43. Red fraction = 12/43. 12/43 × 360° = 100.5°.
11. 126°
Total = 40. Yellow fraction = 14/40. 14/40 × 360° = 126°.
12. 87.8°
Total = 41. Green fraction = 10/41. 10/41 × 360° = 87.8°.
Worked examples
In a survey: Red 2, Blue 12, Green 14, Yellow 6. In a pie chart, what angle does Red get?
- Total = 34.
- Red fraction = 2/34.
- 2/34 × 360° = 21.2°.
- Answer: 21.2°
In a survey: Red 9, Blue 9, Green 11, Yellow 9. In a pie chart, what angle does Blue get?
- Total = 38.
- Blue fraction = 9/38.
- 9/38 × 360° = 85.3°.
- Answer: 85.3°
In a survey: Red 10, Blue 13, Green 4, Yellow 7. In a pie chart, what angle does Blue get?
- Total = 34.
- Blue fraction = 13/34.
- 13/34 × 360° = 137.6°.
- Answer: 137.6°
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.
Every free resource for Working with Line Graphs
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Frequently asked
- Is this Grade 3 Working with Line Graphs 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 Line Graphs, Pie Charts. 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 Line Graphs?
- Move on to Line Graphs in Context, Bar Charts, Pie Charts, Scatter Graphs, which build directly on this idea.
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