Free Grade 3 Graphical Solutions in Context Essentials Lessons
Free Grade 3 lessons for Graphical Solutions in Context 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
Core
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain graphical solutions in context essentials
Explain graphical solutions in context essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate graphical solutions in context essentials
Calculate graphical solutions in context essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare graphical solutions in context essentials
Compare graphical solutions in context essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify graphical solutions in context essentials
Justify graphical solutions in context 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 Graphical Solutions in Context 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 15, Green 7, Yellow 6. In a pie chart, what angle does Green get?[1]
- 2.In a survey: Red 3, Blue 3, Green 7, Yellow 11. In a pie chart, what angle does Blue get?[1]
- 3.In a survey: Red 15, Blue 10, Green 7, Yellow 2. In a pie chart, what angle does Green get?[1]
- 4.In a survey: Red 10, Blue 3, Green 12, Yellow 3. In a pie chart, what angle does Red get?[1]
- 5.In a survey: Red 10, Blue 13, Green 3, Yellow 13. In a pie chart, what angle does Yellow get?[2]
- 6.In a survey: Red 7, Blue 11, Green 8, Yellow 4. In a pie chart, what angle does Blue get?[2]
- 7.In a survey: Red 9, Blue 13, Green 7, Yellow 11. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 3, Blue 13, Green 12, Yellow 9. In a pie chart, what angle does Red get?[2]
- 9.In a survey: Red 10, Blue 4, Green 11, Yellow 13. In a pie chart, what angle does Green get?[3]
- 10.In a survey: Red 3, Blue 3, Green 8, Yellow 14. In a pie chart, what angle does Yellow get?[3]
- 11.In a survey: Red 8, Blue 7, Green 11, Yellow 11. In a pie chart, what angle does Yellow get?[3]
- 12.In a survey: Red 3, Blue 12, Green 4, Yellow 11. In a pie chart, what angle does Green get?[3]
Show answers and working
1. 84°
Total = 30. Green fraction = 7/30. 7/30 × 360° = 84°.
2. 45°
Total = 24. Blue fraction = 3/24. 3/24 × 360° = 45°.
3. 74.1°
Total = 34. Green fraction = 7/34. 7/34 × 360° = 74.1°.
4. 128.6°
Total = 28. Red fraction = 10/28. 10/28 × 360° = 128.6°.
5. 120°
Total = 39. Yellow fraction = 13/39. 13/39 × 360° = 120°.
6. 132°
Total = 30. Blue fraction = 11/30. 11/30 × 360° = 132°.
7. 117°
Total = 40. Blue fraction = 13/40. 13/40 × 360° = 117°.
8. 29.2°
Total = 37. Red fraction = 3/37. 3/37 × 360° = 29.2°.
9. 104.2°
Total = 38. Green fraction = 11/38. 11/38 × 360° = 104.2°.
10. 180°
Total = 28. Yellow fraction = 14/28. 14/28 × 360° = 180°.
11. 107°
Total = 37. Yellow fraction = 11/37. 11/37 × 360° = 107°.
12. 48°
Total = 30. Green fraction = 4/30. 4/30 × 360° = 48°.
Worked examples
In a survey: Red 2, Blue 7, Green 10, Yellow 2. In a pie chart, what angle does Green get?
- Total = 21.
- Green fraction = 10/21.
- 10/21 × 360° = 171.4°.
- Answer: 171.4°
In a survey: Red 8, Blue 2, Green 8, Yellow 12. In a pie chart, what angle does Blue get?
- Total = 30.
- Blue fraction = 2/30.
- 2/30 × 360° = 24°.
- Answer: 24°
In a survey: Red 3, Blue 12, Green 10, Yellow 14. In a pie chart, what angle does Green get?
- Total = 39.
- Green fraction = 10/39.
- 10/39 × 360° = 92.3°.
- Answer: 92.3°
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 Graphical Solutions in Context Essentials 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 Graphical Solutions. 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 Graphical Solutions in Context Essentials?
- Move on to Graphical Solutions in Context Techniques, Graphical Solutions in Context Word Problems, Graphical Solutions in Context Common Errors, Introducing Graphical Solutions, which build directly on this idea.
Related resources
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