Free Grade 3 Introducing Sampling Essentials Lessons
Free Grade 3 lessons for Introducing Sampling 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
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain introducing sampling essentials
Explain introducing sampling essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing sampling essentials
Calculate introducing sampling essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing sampling essentials
Compare introducing sampling essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introducing sampling essentials
Justify introducing sampling 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 Sampling 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 15, Blue 13, Green 8, Yellow 4. In a pie chart, what angle does Blue get?[1]
- 2.In a survey: Red 13, Blue 10, Green 3, Yellow 5. In a pie chart, what angle does Yellow get?[1]
- 3.In a survey: Red 2, Blue 8, Green 8, Yellow 15. In a pie chart, what angle does Blue get?[1]
- 4.In a survey: Red 9, Blue 10, Green 12, Yellow 5. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 14, Blue 11, Green 3, Yellow 2. In a pie chart, what angle does Red get?[2]
- 6.In a survey: Red 11, Blue 13, Green 3, Yellow 3. In a pie chart, what angle does Yellow get?[2]
- 7.In a survey: Red 9, Blue 6, Green 3, Yellow 15. In a pie chart, what angle does Green get?[2]
- 8.In a survey: Red 7, Blue 6, Green 13, Yellow 14. In a pie chart, what angle does Green get?[2]
- 9.In a survey: Red 9, Blue 3, Green 10, Yellow 10. In a pie chart, what angle does Yellow get?[3]
- 10.In a survey: Red 8, Blue 2, Green 4, Yellow 10. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 12, Blue 8, Green 13, Yellow 10. In a pie chart, what angle does Blue get?[3]
- 12.In a survey: Red 13, Blue 6, Green 10, Yellow 11. In a pie chart, what angle does Green get?[3]
Show answers and working
1. 117°
Total = 40. Blue fraction = 13/40. 13/40 × 360° = 117°.
2. 58.1°
Total = 31. Yellow fraction = 5/31. 5/31 × 360° = 58.1°.
3. 87.3°
Total = 33. Blue fraction = 8/33. 8/33 × 360° = 87.3°.
4. 100°
Total = 36. Blue fraction = 10/36. 10/36 × 360° = 100°.
5. 168°
Total = 30. Red fraction = 14/30. 14/30 × 360° = 168°.
6. 36°
Total = 30. Yellow fraction = 3/30. 3/30 × 360° = 36°.
7. 32.7°
Total = 33. Green fraction = 3/33. 3/33 × 360° = 32.7°.
8. 117°
Total = 40. Green fraction = 13/40. 13/40 × 360° = 117°.
9. 112.5°
Total = 32. Yellow fraction = 10/32. 10/32 × 360° = 112.5°.
10. 30°
Total = 24. Blue fraction = 2/24. 2/24 × 360° = 30°.
11. 67°
Total = 43. Blue fraction = 8/43. 8/43 × 360° = 67°.
12. 90°
Total = 40. Green fraction = 10/40. 10/40 × 360° = 90°.
Worked examples
In a survey: Red 12, Blue 8, Green 12, Yellow 10. In a pie chart, what angle does Green get?
- Total = 42.
- Green fraction = 12/42.
- 12/42 × 360° = 102.9°.
- Answer: 102.9°
In a survey: Red 8, Blue 14, Green 6, Yellow 8. In a pie chart, what angle does Blue get?
- Total = 36.
- Blue fraction = 14/36.
- 14/36 × 360° = 140°.
- Answer: 140°
In a survey: Red 6, Blue 8, Green 9, Yellow 8. In a pie chart, what angle does Red get?
- Total = 31.
- Red fraction = 6/31.
- 6/31 × 360° = 69.7°.
- Answer: 69.7°
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 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 Data Presentation. 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 Introducing Sampling Essentials?
- Move on to Introducing Sampling Techniques, Introducing Sampling Word Problems, Introducing Sampling Common Errors, Working with Sampling, which build directly on this idea.
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