Free Grade 3 Introducing Line Graphs Essentials Worksheets
Free Grade 3 worksheets for Introducing Line Graphs Essentials: 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 introducing line graphs essentials
Identify introducing line graphs essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain introducing line graphs essentials
Explain introducing line graphs essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing line graphs essentials
Calculate introducing line graphs essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing line graphs essentials
Compare introducing line graphs essentials 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 Line Graphs Essentials 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 2, Blue 9, Green 12, Yellow 13. In a pie chart, what angle does Yellow get?[1]
- 2.In a survey: Red 12, Blue 6, Green 5, Yellow 14. In a pie chart, what angle does Green get?[1]
- 3.In a survey: Red 11, Blue 6, Green 12, Yellow 3. In a pie chart, what angle does Red get?[1]
- 4.In a survey: Red 14, Blue 8, Green 6, Yellow 2. In a pie chart, what angle does Red get?[1]
- 5.In a survey: Red 4, Blue 6, Green 10, Yellow 11. In a pie chart, what angle does Red get?[2]
- 6.In a survey: Red 4, Blue 9, Green 10, Yellow 15. In a pie chart, what angle does Yellow get?[2]
- 7.In a survey: Red 14, Blue 12, Green 9, Yellow 5. In a pie chart, what angle does Green get?[2]
- 8.In a survey: Red 7, Blue 11, Green 14, Yellow 4. In a pie chart, what angle does Green get?[2]
- 9.In a survey: Red 15, Blue 12, Green 9, Yellow 3. In a pie chart, what angle does Blue get?[3]
- 10.In a survey: Red 10, Blue 7, Green 15, Yellow 12. In a pie chart, what angle does Green get?[3]
- 11.In a survey: Red 7, Blue 5, Green 5, Yellow 15. In a pie chart, what angle does Red get?[3]
- 12.In a survey: Red 15, Blue 8, Green 12, Yellow 14. In a pie chart, what angle does Red get?[3]
Show answers and working
1. 130°
Total = 36. Yellow fraction = 13/36. 13/36 × 360° = 130°.
2. 48.6°
Total = 37. Green fraction = 5/37. 5/37 × 360° = 48.6°.
3. 123.8°
Total = 32. Red fraction = 11/32. 11/32 × 360° = 123.8°.
4. 168°
Total = 30. Red fraction = 14/30. 14/30 × 360° = 168°.
5. 46.5°
Total = 31. Red fraction = 4/31. 4/31 × 360° = 46.5°.
6. 142.1°
Total = 38. Yellow fraction = 15/38. 15/38 × 360° = 142.1°.
7. 81°
Total = 40. Green fraction = 9/40. 9/40 × 360° = 81°.
8. 140°
Total = 36. Green fraction = 14/36. 14/36 × 360° = 140°.
9. 110.8°
Total = 39. Blue fraction = 12/39. 12/39 × 360° = 110.8°.
10. 122.7°
Total = 44. Green fraction = 15/44. 15/44 × 360° = 122.7°.
11. 78.8°
Total = 32. Red fraction = 7/32. 7/32 × 360° = 78.8°.
12. 110.2°
Total = 49. Red fraction = 15/49. 15/49 × 360° = 110.2°.
Worked examples
In a survey: Red 12, Blue 2, Green 10, Yellow 5. In a pie chart, what angle does Yellow get?
- Total = 29.
- Yellow fraction = 5/29.
- 5/29 × 360° = 62.1°.
- Answer: 62.1°
In a survey: Red 10, Blue 8, Green 8, Yellow 6. In a pie chart, what angle does Red get?
- Total = 32.
- Red fraction = 10/32.
- 10/32 × 360° = 112.5°.
- Answer: 112.5°
In a survey: Red 11, Blue 11, Green 13, Yellow 4. In a pie chart, what angle does Red get?
- Total = 39.
- Red fraction = 11/39.
- 11/39 × 360° = 101.5°.
- Answer: 101.5°
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 Line Graphs Essentials 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 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 Introducing Line Graphs Essentials?
- Move on to Introducing Line Graphs Techniques, Introducing Line Graphs Word Problems, Introducing Line Graphs Common Errors, Working with Line Graphs, which build directly on this idea.
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