Free Grade 3 Working with Line Graphs Lessons
Free Grade 3 lessons 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 15, Blue 3, Green 15, Yellow 13. In a pie chart, what angle does Red get?[1]
- 2.In a survey: Red 5, Blue 9, Green 15, Yellow 8. In a pie chart, what angle does Blue get?[1]
- 3.In a survey: Red 13, Blue 11, Green 7, Yellow 2. In a pie chart, what angle does Red get?[1]
- 4.In a survey: Red 11, Blue 11, Green 5, Yellow 5. In a pie chart, what angle does Green get?[1]
- 5.In a survey: Red 10, Blue 7, Green 10, Yellow 2. In a pie chart, what angle does Blue get?[2]
- 6.In a survey: Red 6, Blue 12, Green 13, Yellow 8. In a pie chart, what angle does Red get?[2]
- 7.In a survey: Red 12, Blue 12, Green 10, Yellow 8. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 8, Blue 11, Green 7, Yellow 10. In a pie chart, what angle does Yellow get?[2]
- 9.In a survey: Red 14, Blue 13, Green 3, Yellow 9. In a pie chart, what angle does Red get?[3]
- 10.In a survey: Red 5, Blue 14, Green 5, Yellow 2. In a pie chart, what angle does Green get?[3]
- 11.In a survey: Red 2, Blue 4, Green 12, Yellow 3. In a pie chart, what angle does Red get?[3]
- 12.In a survey: Red 15, Blue 15, Green 6, Yellow 2. In a pie chart, what angle does Red get?[3]
Show answers and working
1. 117.4°
Total = 46. Red fraction = 15/46. 15/46 × 360° = 117.4°.
2. 87.6°
Total = 37. Blue fraction = 9/37. 9/37 × 360° = 87.6°.
3. 141.8°
Total = 33. Red fraction = 13/33. 13/33 × 360° = 141.8°.
4. 56.3°
Total = 32. Green fraction = 5/32. 5/32 × 360° = 56.3°.
5. 86.9°
Total = 29. Blue fraction = 7/29. 7/29 × 360° = 86.9°.
6. 55.4°
Total = 39. Red fraction = 6/39. 6/39 × 360° = 55.4°.
7. 102.9°
Total = 42. Blue fraction = 12/42. 12/42 × 360° = 102.9°.
8. 100°
Total = 36. Yellow fraction = 10/36. 10/36 × 360° = 100°.
9. 129.2°
Total = 39. Red fraction = 14/39. 14/39 × 360° = 129.2°.
10. 69.2°
Total = 26. Green fraction = 5/26. 5/26 × 360° = 69.2°.
11. 34.3°
Total = 21. Red fraction = 2/21. 2/21 × 360° = 34.3°.
12. 142.1°
Total = 38. Red fraction = 15/38. 15/38 × 360° = 142.1°.
Worked examples
In a survey: Red 3, Blue 6, Green 3, Yellow 15. In a pie chart, what angle does Green get?
- Total = 27.
- Green fraction = 3/27.
- 3/27 × 360° = 40°.
- Answer: 40°
In a survey: Red 4, Blue 10, Green 6, Yellow 8. In a pie chart, what angle does Green get?
- Total = 28.
- Green fraction = 6/28.
- 6/28 × 360° = 77.1°.
- Answer: 77.1°
In a survey: Red 8, Blue 7, Green 9, Yellow 11. In a pie chart, what angle does Blue get?
- Total = 35.
- Blue fraction = 7/35.
- 7/35 × 360° = 72°.
- Answer: 72°
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 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 Introducing Line Graphs, Pie Charts. 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 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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