Free Grade 3 Rules and Methods in Introducing Sampling Techniques: Step-by-step Method Worksheets
Free Grade 3 worksheets for Rules and Methods in Introducing Sampling Techniques: Step-by-step Method: 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 rules and methods in introducing sampling techniques: step-by-step method
Explain rules and methods in introducing sampling techniques: step-by-step method accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate rules and methods in introducing sampling techniques: step-by-step method
Calculate rules and methods in introducing sampling techniques: step-by-step method accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare rules and methods in introducing sampling techniques: step-by-step method
Compare rules and methods in introducing sampling techniques: step-by-step method accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify rules and methods in introducing sampling techniques: step-by-step method
Justify rules and methods in introducing sampling techniques: step-by-step method 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: Step-by-step Method 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 11, Blue 12, Green 5, Yellow 8. In a pie chart, what angle does Yellow get?[1]
- 2.In a survey: Red 15, Blue 12, Green 11, Yellow 4. In a pie chart, what angle does Blue get?[1]
- 3.In a survey: Red 2, Blue 13, Green 7, Yellow 5. In a pie chart, what angle does Green get?[1]
- 4.In a survey: Red 7, Blue 3, Green 14, Yellow 3. In a pie chart, what angle does Yellow get?[1]
- 5.In a survey: Red 11, Blue 10, Green 13, Yellow 3. In a pie chart, what angle does Red get?[2]
- 6.In a survey: Red 15, Blue 6, Green 10, Yellow 11. In a pie chart, what angle does Red get?[2]
- 7.In a survey: Red 13, Blue 8, Green 8, Yellow 11. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 2, Blue 12, Green 7, Yellow 7. In a pie chart, what angle does Green get?[2]
- 9.In a survey: Red 14, Blue 14, Green 14, Yellow 2. In a pie chart, what angle does Green get?[3]
- 10.In a survey: Red 13, Blue 13, Green 13, Yellow 7. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 10, Blue 7, Green 15, Yellow 4. In a pie chart, what angle does Red get?[3]
- 12.In a survey: Red 4, Blue 9, Green 15, Yellow 13. In a pie chart, what angle does Blue get?[3]
Show answers and working
1. 80°
Total = 36. Yellow fraction = 8/36. 8/36 × 360° = 80°.
2. 102.9°
Total = 42. Blue fraction = 12/42. 12/42 × 360° = 102.9°.
3. 93.3°
Total = 27. Green fraction = 7/27. 7/27 × 360° = 93.3°.
4. 40°
Total = 27. Yellow fraction = 3/27. 3/27 × 360° = 40°.
5. 107°
Total = 37. Red fraction = 11/37. 11/37 × 360° = 107°.
6. 128.6°
Total = 42. Red fraction = 15/42. 15/42 × 360° = 128.6°.
7. 72°
Total = 40. Blue fraction = 8/40. 8/40 × 360° = 72°.
8. 90°
Total = 28. Green fraction = 7/28. 7/28 × 360° = 90°.
9. 114.5°
Total = 44. Green fraction = 14/44. 14/44 × 360° = 114.5°.
10. 101.7°
Total = 46. Blue fraction = 13/46. 13/46 × 360° = 101.7°.
11. 100°
Total = 36. Red fraction = 10/36. 10/36 × 360° = 100°.
12. 79°
Total = 41. Blue fraction = 9/41. 9/41 × 360° = 79°.
Worked examples
In a survey: Red 10, Blue 6, Green 13, Yellow 4. In a pie chart, what angle does Green get?
- Total = 33.
- Green fraction = 13/33.
- 13/33 × 360° = 141.8°.
- Answer: 141.8°
In a survey: Red 6, Blue 2, Green 5, Yellow 12. In a pie chart, what angle does Yellow get?
- Total = 25.
- Yellow fraction = 12/25.
- 12/25 × 360° = 172.8°.
- Answer: 172.8°
In a survey: Red 14, Blue 11, Green 12, Yellow 10. In a pie chart, what angle does Yellow get?
- Total = 47.
- Yellow fraction = 10/47.
- 10/47 × 360° = 76.6°.
- Answer: 76.6°
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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