Free Grade 3 Introduction to Introducing Sampling Essentials Lessons
Free Grade 3 lessons for Introduction to 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
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain introduction to introducing sampling essentials
Explain introduction to introducing sampling essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introduction to introducing sampling essentials
Calculate introduction to introducing sampling essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introduction to introducing sampling essentials
Compare introduction to introducing sampling essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introduction to introducing sampling essentials
Justify introduction to 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 Introduction to 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 9, Blue 13, Green 5, Yellow 15. In a pie chart, what angle does Green get?[1]
- 2.In a survey: Red 4, Blue 7, Green 12, Yellow 13. In a pie chart, what angle does Green get?[1]
- 3.In a survey: Red 3, Blue 6, Green 7, Yellow 8. In a pie chart, what angle does Red get?[1]
- 4.In a survey: Red 12, Blue 5, Green 4, Yellow 8. In a pie chart, what angle does Green get?[1]
- 5.In a survey: Red 14, Blue 10, Green 6, Yellow 2. In a pie chart, what angle does Yellow get?[2]
- 6.In a survey: Red 7, Blue 3, Green 11, Yellow 9. In a pie chart, what angle does Green get?[2]
- 7.In a survey: Red 3, Blue 15, Green 3, Yellow 5. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 5, Blue 13, Green 15, Yellow 10. In a pie chart, what angle does Green get?[2]
- 9.In a survey: Red 8, Blue 11, Green 8, Yellow 2. In a pie chart, what angle does Yellow get?[3]
- 10.In a survey: Red 14, Blue 3, Green 10, Yellow 6. In a pie chart, what angle does Red get?[3]
- 11.In a survey: Red 4, Blue 13, Green 11, Yellow 9. In a pie chart, what angle does Yellow get?[3]
- 12.In a survey: Red 7, Blue 15, Green 11, Yellow 2. In a pie chart, what angle does Yellow get?[3]
Show answers and working
1. 42.9°
Total = 42. Green fraction = 5/42. 5/42 × 360° = 42.9°.
2. 120°
Total = 36. Green fraction = 12/36. 12/36 × 360° = 120°.
3. 45°
Total = 24. Red fraction = 3/24. 3/24 × 360° = 45°.
4. 49.7°
Total = 29. Green fraction = 4/29. 4/29 × 360° = 49.7°.
5. 22.5°
Total = 32. Yellow fraction = 2/32. 2/32 × 360° = 22.5°.
6. 132°
Total = 30. Green fraction = 11/30. 11/30 × 360° = 132°.
7. 207.7°
Total = 26. Blue fraction = 15/26. 15/26 × 360° = 207.7°.
8. 125.6°
Total = 43. Green fraction = 15/43. 15/43 × 360° = 125.6°.
9. 24.8°
Total = 29. Yellow fraction = 2/29. 2/29 × 360° = 24.8°.
10. 152.7°
Total = 33. Red fraction = 14/33. 14/33 × 360° = 152.7°.
11. 87.6°
Total = 37. Yellow fraction = 9/37. 9/37 × 360° = 87.6°.
12. 20.6°
Total = 35. Yellow fraction = 2/35. 2/35 × 360° = 20.6°.
Worked examples
In a survey: Red 15, Blue 3, Green 14, Yellow 5. In a pie chart, what angle does Yellow get?
- Total = 37.
- Yellow fraction = 5/37.
- 5/37 × 360° = 48.6°.
- Answer: 48.6°
In a survey: Red 3, Blue 10, Green 14, Yellow 8. In a pie chart, what angle does Yellow get?
- Total = 35.
- Yellow fraction = 8/35.
- 8/35 × 360° = 82.3°.
- Answer: 82.3°
In a survey: Red 4, Blue 15, Green 7, Yellow 10. In a pie chart, what angle does Blue get?
- Total = 36.
- Blue fraction = 15/36.
- 15/36 × 360° = 150°.
- Answer: 150°
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
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- What should a learner already know before this?
- Start with Data Presentation. Each one has its own free lesson, worksheet and quiz.
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- Move on to Key Vocabulary of Introducing Sampling Essentials, Rules and Methods in Introducing Sampling Essentials, Working with Introducing Sampling Essentials, Introducing Sampling Essentials in Examinations, which build directly on this idea.
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