Free Grade 3 Sampling in Context Word Problems Lesson Plans
Free Grade 3 lesson plans for Sampling in Context Word Problems: 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
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15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain sampling in context word problems
Explain sampling in context word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate sampling in context word problems
Calculate sampling in context word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare sampling in context word problems
Compare sampling in context word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify sampling in context word problems
Justify sampling in context word problems 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 Sampling in Context Word Problems 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 7, Blue 8, Green 14, Yellow 5. In a pie chart, what angle does Red get?[1]
- 2.In a survey: Red 3, Blue 6, Green 6, Yellow 15. In a pie chart, what angle does Yellow get?[1]
- 3.In a survey: Red 12, Blue 4, Green 11, Yellow 3. In a pie chart, what angle does Yellow get?[1]
- 4.In a survey: Red 12, Blue 9, Green 10, Yellow 8. In a pie chart, what angle does Green get?[1]
- 5.In a survey: Red 7, Blue 12, Green 10, Yellow 14. In a pie chart, what angle does Red get?[2]
- 6.In a survey: Red 15, Blue 8, Green 10, Yellow 12. In a pie chart, what angle does Yellow get?[2]
- 7.In a survey: Red 10, Blue 3, Green 5, Yellow 9. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 3, Blue 6, Green 4, Yellow 4. In a pie chart, what angle does Red get?[2]
- 9.In a survey: Red 7, Blue 5, Green 13, Yellow 15. In a pie chart, what angle does Yellow get?[3]
- 10.In a survey: Red 13, Blue 10, Green 12, Yellow 11. In a pie chart, what angle does Red get?[3]
- 11.In a survey: Red 9, Blue 2, Green 4, Yellow 10. In a pie chart, what angle does Yellow get?[3]
- 12.In a survey: Red 10, Blue 5, Green 12, Yellow 10. In a pie chart, what angle does Yellow get?[3]
Show answers and working
1. 74.1°
Total = 34. Red fraction = 7/34. 7/34 × 360° = 74.1°.
2. 180°
Total = 30. Yellow fraction = 15/30. 15/30 × 360° = 180°.
3. 36°
Total = 30. Yellow fraction = 3/30. 3/30 × 360° = 36°.
4. 92.3°
Total = 39. Green fraction = 10/39. 10/39 × 360° = 92.3°.
5. 58.6°
Total = 43. Red fraction = 7/43. 7/43 × 360° = 58.6°.
6. 96°
Total = 45. Yellow fraction = 12/45. 12/45 × 360° = 96°.
7. 40°
Total = 27. Blue fraction = 3/27. 3/27 × 360° = 40°.
8. 63.5°
Total = 17. Red fraction = 3/17. 3/17 × 360° = 63.5°.
9. 135°
Total = 40. Yellow fraction = 15/40. 15/40 × 360° = 135°.
10. 101.7°
Total = 46. Red fraction = 13/46. 13/46 × 360° = 101.7°.
11. 144°
Total = 25. Yellow fraction = 10/25. 10/25 × 360° = 144°.
12. 97.3°
Total = 37. Yellow fraction = 10/37. 10/37 × 360° = 97.3°.
Worked examples
In a survey: Red 13, Blue 7, Green 3, Yellow 13. In a pie chart, what angle does Yellow get?
- Total = 36.
- Yellow fraction = 13/36.
- 13/36 × 360° = 130°.
- Answer: 130°
In a survey: Red 9, Blue 2, Green 8, Yellow 4. In a pie chart, what angle does Yellow get?
- Total = 23.
- Yellow fraction = 4/23.
- 4/23 × 360° = 62.6°.
- Answer: 62.6°
In a survey: Red 2, Blue 14, Green 14, Yellow 2. In a pie chart, what angle does Red get?
- Total = 32.
- Red fraction = 2/32.
- 2/32 × 360° = 22.5°.
- Answer: 22.5°
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 Sampling in Context Word Problems lesson plan really free?
- Yes. Every lesson plans 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 Sampling in Context Techniques, Sampling in Context Essentials, Working with Sampling. Each one has its own free lesson, worksheet and quiz.
- How is the lesson plan 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 Sampling in Context Word Problems?
- Move on to Sampling in Context Common Errors, Introducing Sampling, Working with Sampling, which build directly on this idea.
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