Free Grade 3 Rules and Methods in Introducing Sampling Techniques Worksheets
Free Grade 3 worksheets for Rules and Methods in Introducing Sampling Techniques: 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°.
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15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain rules and methods in introducing sampling techniques
Explain rules and methods in introducing sampling techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate rules and methods in introducing sampling techniques
Calculate rules and methods in introducing sampling techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare rules and methods in introducing sampling techniques
Compare rules and methods in introducing sampling techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify rules and methods in introducing sampling techniques
Justify rules and methods in introducing sampling techniques 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 Rules and Methods in Introducing Sampling Techniques 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 6, Blue 12, Green 2, Yellow 9. In a pie chart, what angle does Yellow get?[1]
- 2.In a survey: Red 12, Blue 7, Green 8, Yellow 9. In a pie chart, what angle does Green get?[1]
- 3.In a survey: Red 6, Blue 3, Green 8, Yellow 6. In a pie chart, what angle does Blue get?[1]
- 4.In a survey: Red 7, Blue 11, Green 6, Yellow 9. In a pie chart, what angle does Green get?[1]
- 5.In a survey: Red 5, Blue 14, Green 8, Yellow 13. In a pie chart, what angle does Yellow get?[2]
- 6.In a survey: Red 6, Blue 11, Green 13, Yellow 10. In a pie chart, what angle does Blue get?[2]
- 7.In a survey: Red 12, Blue 6, Green 3, Yellow 4. In a pie chart, what angle does Green get?[2]
- 8.In a survey: Red 11, Blue 2, Green 15, Yellow 11. In a pie chart, what angle does Yellow get?[2]
- 9.In a survey: Red 13, Blue 7, Green 6, Yellow 15. In a pie chart, what angle does Yellow get?[3]
- 10.In a survey: Red 4, Blue 11, Green 6, Yellow 12. In a pie chart, what angle does Red get?[3]
- 11.In a survey: Red 10, Blue 8, Green 15, Yellow 13. In a pie chart, what angle does Blue get?[3]
- 12.In a survey: Red 6, Blue 14, Green 3, Yellow 13. In a pie chart, what angle does Red get?[3]
Show answers and working
1. 111.7°
Total = 29. Yellow fraction = 9/29. 9/29 × 360° = 111.7°.
2. 80°
Total = 36. Green fraction = 8/36. 8/36 × 360° = 80°.
3. 47°
Total = 23. Blue fraction = 3/23. 3/23 × 360° = 47°.
4. 65.5°
Total = 33. Green fraction = 6/33. 6/33 × 360° = 65.5°.
5. 117°
Total = 40. Yellow fraction = 13/40. 13/40 × 360° = 117°.
6. 99°
Total = 40. Blue fraction = 11/40. 11/40 × 360° = 99°.
7. 43.2°
Total = 25. Green fraction = 3/25. 3/25 × 360° = 43.2°.
8. 101.5°
Total = 39. Yellow fraction = 11/39. 11/39 × 360° = 101.5°.
9. 131.7°
Total = 41. Yellow fraction = 15/41. 15/41 × 360° = 131.7°.
10. 43.6°
Total = 33. Red fraction = 4/33. 4/33 × 360° = 43.6°.
11. 62.6°
Total = 46. Blue fraction = 8/46. 8/46 × 360° = 62.6°.
12. 60°
Total = 36. Red fraction = 6/36. 6/36 × 360° = 60°.
Worked examples
In a survey: Red 7, Blue 15, Green 9, Yellow 4. In a pie chart, what angle does Green get?
- Total = 35.
- Green fraction = 9/35.
- 9/35 × 360° = 92.6°.
- Answer: 92.6°
In a survey: Red 5, Blue 11, Green 7, Yellow 6. In a pie chart, what angle does Blue get?
- Total = 29.
- Blue fraction = 11/29.
- 11/29 × 360° = 136.6°.
- Answer: 136.6°
In a survey: Red 7, Blue 3, Green 7, Yellow 7. In a pie chart, what angle does Yellow get?
- Total = 24.
- Yellow fraction = 7/24.
- 7/24 × 360° = 105°.
- Answer: 105°
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 Rules and Methods in Introducing Sampling Techniques worksheet really free?
- Yes. Every worksheets 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 Key Vocabulary of Introducing Sampling Techniques, Introduction to Introducing Sampling Techniques, Introducing Sampling Essentials. Each one has its own free lesson, worksheet and quiz.
- How is the worksheet 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 Rules and Methods in Introducing Sampling Techniques?
- Move on to Working with Introducing Sampling Techniques, Introducing Sampling Techniques in Examinations, Introducing Sampling Essentials, Introducing Sampling Word Problems, which build directly on this idea.
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