Free Grade 3 Line Graphs in Context Lessons
Free Grade 3 lessons for Line Graphs in Context: 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
Stretch
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain line graphs in context
Explain line graphs in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate line graphs in context
Calculate line graphs in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare line graphs in context
Compare line graphs in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify line graphs in context
Justify line graphs in context 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 Line Graphs in Context 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 11, Blue 9, Green 7, Yellow 8. In a pie chart, what angle does Green get?[1]
- 2.In a survey: Red 4, Blue 15, Green 10, Yellow 5. In a pie chart, what angle does Red get?[1]
- 3.In a survey: Red 14, Blue 12, Green 2, Yellow 15. In a pie chart, what angle does Red get?[1]
- 4.In a survey: Red 9, Blue 13, Green 15, Yellow 4. In a pie chart, what angle does Green get?[1]
- 5.In a survey: Red 2, Blue 7, Green 11, Yellow 12. In a pie chart, what angle does Red get?[2]
- 6.In a survey: Red 12, Blue 6, Green 11, Yellow 5. In a pie chart, what angle does Yellow get?[2]
- 7.In a survey: Red 5, Blue 8, Green 5, Yellow 10. In a pie chart, what angle does Red get?[2]
- 8.In a survey: Red 6, Blue 10, Green 13, Yellow 6. In a pie chart, what angle does Blue get?[2]
- 9.In a survey: Red 5, Blue 2, Green 5, Yellow 6. In a pie chart, what angle does Yellow get?[3]
- 10.In a survey: Red 10, Blue 11, Green 15, Yellow 7. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 4, Blue 9, Green 8, Yellow 15. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 9, Blue 7, Green 5, Yellow 15. In a pie chart, what angle does Blue get?[3]
Show answers and working
1. 72°
Total = 35. Green fraction = 7/35. 7/35 × 360° = 72°.
2. 42.4°
Total = 34. Red fraction = 4/34. 4/34 × 360° = 42.4°.
3. 117.2°
Total = 43. Red fraction = 14/43. 14/43 × 360° = 117.2°.
4. 131.7°
Total = 41. Green fraction = 15/41. 15/41 × 360° = 131.7°.
5. 22.5°
Total = 32. Red fraction = 2/32. 2/32 × 360° = 22.5°.
6. 52.9°
Total = 34. Yellow fraction = 5/34. 5/34 × 360° = 52.9°.
7. 64.3°
Total = 28. Red fraction = 5/28. 5/28 × 360° = 64.3°.
8. 102.9°
Total = 35. Blue fraction = 10/35. 10/35 × 360° = 102.9°.
9. 120°
Total = 18. Yellow fraction = 6/18. 6/18 × 360° = 120°.
10. 92.1°
Total = 43. Blue fraction = 11/43. 11/43 × 360° = 92.1°.
11. 80°
Total = 36. Green fraction = 8/36. 8/36 × 360° = 80°.
12. 70°
Total = 36. Blue fraction = 7/36. 7/36 × 360° = 70°.
Worked examples
In a survey: Red 15, Blue 6, Green 6, Yellow 11. In a pie chart, what angle does Green get?
- Total = 38.
- Green fraction = 6/38.
- 6/38 × 360° = 56.8°.
- Answer: 56.8°
In a survey: Red 6, Blue 3, Green 4, Yellow 12. In a pie chart, what angle does Red get?
- Total = 25.
- Red fraction = 6/25.
- 6/25 × 360° = 86.4°.
- Answer: 86.4°
In a survey: Red 11, Blue 13, Green 8, Yellow 3. In a pie chart, what angle does Red get?
- Total = 35.
- Red fraction = 11/35.
- 11/35 × 360° = 113.1°.
- Answer: 113.1°
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 Line Graphs in Context
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Frequently asked
- Is this Grade 3 Line Graphs in Context 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 Working with Line Graphs, 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 Line Graphs in Context?
- Move on to Bar Charts, Pie Charts, Scatter Graphs, Histograms, which build directly on this idea.
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