Free Grade 3 Introducing Sampling Word Problems Lesson Plans
Free Grade 3 lesson plans for Introducing Sampling 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
Stretch
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain introducing sampling word problems
Explain introducing sampling word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing sampling word problems
Calculate introducing sampling word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing sampling word problems
Compare introducing sampling word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introducing sampling word problems
Justify introducing sampling 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 Introducing Sampling 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 14, Blue 4, Green 9, Yellow 10. In a pie chart, what angle does Red get?[1]
- 2.In a survey: Red 5, Blue 9, Green 7, Yellow 9. In a pie chart, what angle does Blue get?[1]
- 3.In a survey: Red 9, Blue 12, Green 14, Yellow 9. In a pie chart, what angle does Blue get?[1]
- 4.In a survey: Red 3, Blue 10, Green 11, Yellow 11. In a pie chart, what angle does Yellow get?[1]
- 5.In a survey: Red 10, Blue 15, Green 8, Yellow 7. In a pie chart, what angle does Blue get?[2]
- 6.In a survey: Red 14, Blue 2, Green 15, Yellow 11. In a pie chart, what angle does Green get?[2]
- 7.In a survey: Red 4, Blue 14, Green 2, Yellow 13. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 5, Blue 7, Green 12, Yellow 13. In a pie chart, what angle does Green get?[2]
- 9.In a survey: Red 4, Blue 3, Green 5, Yellow 8. In a pie chart, what angle does Red get?[3]
- 10.In a survey: Red 13, Blue 7, Green 11, Yellow 3. In a pie chart, what angle does Green get?[3]
- 11.In a survey: Red 12, Blue 2, Green 9, Yellow 14. In a pie chart, what angle does Red get?[3]
- 12.In a survey: Red 15, Blue 15, Green 14, Yellow 8. In a pie chart, what angle does Yellow get?[3]
Show answers and working
1. 136.2°
Total = 37. Red fraction = 14/37. 14/37 × 360° = 136.2°.
2. 108°
Total = 30. Blue fraction = 9/30. 9/30 × 360° = 108°.
3. 98.2°
Total = 44. Blue fraction = 12/44. 12/44 × 360° = 98.2°.
4. 113.1°
Total = 35. Yellow fraction = 11/35. 11/35 × 360° = 113.1°.
5. 135°
Total = 40. Blue fraction = 15/40. 15/40 × 360° = 135°.
6. 128.6°
Total = 42. Green fraction = 15/42. 15/42 × 360° = 128.6°.
7. 152.7°
Total = 33. Blue fraction = 14/33. 14/33 × 360° = 152.7°.
8. 116.8°
Total = 37. Green fraction = 12/37. 12/37 × 360° = 116.8°.
9. 72°
Total = 20. Red fraction = 4/20. 4/20 × 360° = 72°.
10. 116.5°
Total = 34. Green fraction = 11/34. 11/34 × 360° = 116.5°.
11. 116.8°
Total = 37. Red fraction = 12/37. 12/37 × 360° = 116.8°.
12. 55.4°
Total = 52. Yellow fraction = 8/52. 8/52 × 360° = 55.4°.
Worked examples
In a survey: Red 14, Blue 5, Green 11, Yellow 12. In a pie chart, what angle does Yellow get?
- Total = 42.
- Yellow fraction = 12/42.
- 12/42 × 360° = 102.9°.
- Answer: 102.9°
In a survey: Red 3, Blue 6, Green 5, Yellow 12. In a pie chart, what angle does Blue get?
- Total = 26.
- Blue fraction = 6/26.
- 6/26 × 360° = 83.1°.
- Answer: 83.1°
In a survey: Red 11, Blue 6, Green 3, Yellow 10. In a pie chart, what angle does Blue get?
- Total = 30.
- Blue fraction = 6/30.
- 6/30 × 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.
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Frequently asked
- Is this Grade 3 Introducing Sampling 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 Introducing Sampling Techniques, Introducing Sampling Essentials, Data Presentation. 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 Introducing Sampling Word Problems?
- Move on to Introducing Sampling Common Errors, Working with Sampling, Sampling in Context, which build directly on this idea.
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