Free Grade 3 Rules and Methods in Introducing Sampling Common Errors: Step-by-step Method Worksheets
Free Grade 3 worksheets for Rules and Methods in Introducing Sampling Common Errors: 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
35 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 common errors: step-by-step method
Explain rules and methods in introducing sampling common errors: step-by-step method accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate rules and methods in introducing sampling common errors: step-by-step method
Calculate rules and methods in introducing sampling common errors: step-by-step method accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare rules and methods in introducing sampling common errors: step-by-step method
Compare rules and methods in introducing sampling common errors: step-by-step method accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify rules and methods in introducing sampling common errors: step-by-step method
Justify rules and methods in introducing sampling common errors: 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 Common Errors: 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 4, Blue 2, Green 6, Yellow 11. In a pie chart, what angle does Green get?[1]
- 2.In a survey: Red 13, Blue 4, Green 5, Yellow 15. In a pie chart, what angle does Red get?[1]
- 3.In a survey: Red 13, Blue 7, Green 6, Yellow 5. In a pie chart, what angle does Yellow get?[1]
- 4.In a survey: Red 12, Blue 14, Green 8, Yellow 2. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 14, Blue 7, Green 3, Yellow 15. In a pie chart, what angle does Red get?[2]
- 6.In a survey: Red 7, Blue 6, Green 14, Yellow 12. In a pie chart, what angle does Yellow get?[2]
- 7.In a survey: Red 13, Blue 4, Green 12, Yellow 5. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 15, Blue 10, Green 6, Yellow 8. In a pie chart, what angle does Blue get?[2]
- 9.In a survey: Red 7, Blue 8, Green 15, Yellow 5. In a pie chart, what angle does Blue get?[3]
- 10.In a survey: Red 3, Blue 8, Green 11, Yellow 10. In a pie chart, what angle does Red get?[3]
- 11.In a survey: Red 6, Blue 4, Green 13, Yellow 5. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 10, Blue 7, Green 15, Yellow 2. In a pie chart, what angle does Green get?[3]
Show answers and working
1. 93.9°
Total = 23. Green fraction = 6/23. 6/23 × 360° = 93.9°.
2. 126.5°
Total = 37. Red fraction = 13/37. 13/37 × 360° = 126.5°.
3. 58.1°
Total = 31. Yellow fraction = 5/31. 5/31 × 360° = 58.1°.
4. 140°
Total = 36. Blue fraction = 14/36. 14/36 × 360° = 140°.
5. 129.2°
Total = 39. Red fraction = 14/39. 14/39 × 360° = 129.2°.
6. 110.8°
Total = 39. Yellow fraction = 12/39. 12/39 × 360° = 110.8°.
7. 42.4°
Total = 34. Blue fraction = 4/34. 4/34 × 360° = 42.4°.
8. 92.3°
Total = 39. Blue fraction = 10/39. 10/39 × 360° = 92.3°.
9. 82.3°
Total = 35. Blue fraction = 8/35. 8/35 × 360° = 82.3°.
10. 33.8°
Total = 32. Red fraction = 3/32. 3/32 × 360° = 33.8°.
11. 167.1°
Total = 28. Green fraction = 13/28. 13/28 × 360° = 167.1°.
12. 158.8°
Total = 34. Green fraction = 15/34. 15/34 × 360° = 158.8°.
Worked examples
In a survey: Red 9, Blue 2, Green 10, Yellow 15. In a pie chart, what angle does Red get?
- Total = 36.
- Red fraction = 9/36.
- 9/36 × 360° = 90°.
- Answer: 90°
In a survey: Red 4, Blue 8, Green 8, Yellow 10. In a pie chart, what angle does Yellow get?
- Total = 30.
- Yellow fraction = 10/30.
- 10/30 × 360° = 120°.
- Answer: 120°
In a survey: Red 2, Blue 6, Green 9, Yellow 9. In a pie chart, what angle does Red get?
- Total = 26.
- Red fraction = 2/26.
- 2/26 × 360° = 27.7°.
- Answer: 27.7°
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
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