Free Grade 3 Working with Line Graphs Worksheets
Free Grade 3 worksheets 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
Higher
15 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 10, Blue 4, Green 14, Yellow 7. In a pie chart, what angle does Green get?[1]
- 2.In a survey: Red 9, Blue 15, Green 12, Yellow 4. In a pie chart, what angle does Blue get?[1]
- 3.In a survey: Red 13, Blue 11, Green 15, Yellow 3. In a pie chart, what angle does Blue get?[1]
- 4.In a survey: Red 4, Blue 13, Green 2, Yellow 14. In a pie chart, what angle does Green get?[1]
- 5.In a survey: Red 2, Blue 13, Green 8, Yellow 7. In a pie chart, what angle does Red get?[2]
- 6.In a survey: Red 15, Blue 3, Green 8, Yellow 5. In a pie chart, what angle does Blue get?[2]
- 7.In a survey: Red 6, Blue 15, Green 13, Yellow 7. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 3, Blue 11, Green 13, Yellow 4. In a pie chart, what angle does Green get?[2]
- 9.In a survey: Red 10, Blue 12, Green 7, Yellow 13. In a pie chart, what angle does Blue get?[3]
- 10.In a survey: Red 14, Blue 9, Green 3, Yellow 13. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 13, Blue 9, Green 10, Yellow 11. In a pie chart, what angle does Yellow get?[3]
- 12.In a survey: Red 3, Blue 6, Green 13, Yellow 2. In a pie chart, what angle does Green get?[3]
Show answers and working
1. 144°
Total = 35. Green fraction = 14/35. 14/35 × 360° = 144°.
2. 135°
Total = 40. Blue fraction = 15/40. 15/40 × 360° = 135°.
3. 94.3°
Total = 42. Blue fraction = 11/42. 11/42 × 360° = 94.3°.
4. 21.8°
Total = 33. Green fraction = 2/33. 2/33 × 360° = 21.8°.
5. 24°
Total = 30. Red fraction = 2/30. 2/30 × 360° = 24°.
6. 34.8°
Total = 31. Blue fraction = 3/31. 3/31 × 360° = 34.8°.
7. 131.7°
Total = 41. Blue fraction = 15/41. 15/41 × 360° = 131.7°.
8. 151°
Total = 31. Green fraction = 13/31. 13/31 × 360° = 151°.
9. 102.9°
Total = 42. Blue fraction = 12/42. 12/42 × 360° = 102.9°.
10. 83.1°
Total = 39. Blue fraction = 9/39. 9/39 × 360° = 83.1°.
11. 92.1°
Total = 43. Yellow fraction = 11/43. 11/43 × 360° = 92.1°.
12. 195°
Total = 24. Green fraction = 13/24. 13/24 × 360° = 195°.
Worked examples
In a survey: Red 9, Blue 3, Green 13, Yellow 13. In a pie chart, what angle does Green get?
- Total = 38.
- Green fraction = 13/38.
- 13/38 × 360° = 123.2°.
- Answer: 123.2°
In a survey: Red 13, Blue 15, Green 15, Yellow 5. In a pie chart, what angle does Green get?
- Total = 48.
- Green fraction = 15/48.
- 15/48 × 360° = 112.5°.
- Answer: 112.5°
In a survey: Red 7, Blue 6, Green 8, Yellow 7. In a pie chart, what angle does Red get?
- Total = 28.
- Red fraction = 7/28.
- 7/28 × 360° = 90°.
- Answer: 90°
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 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 Line Graphs, Pie Charts. 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 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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