Free Grade 3 Introducing Sampling Common Errors in Examinations Worksheets
Free Grade 3 worksheets for Introducing Sampling Common Errors in Examinations: 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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20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain introducing sampling common errors in examinations
Explain introducing sampling common errors in examinations accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing sampling common errors in examinations
Calculate introducing sampling common errors in examinations accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing sampling common errors in examinations
Compare introducing sampling common errors in examinations accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introducing sampling common errors in examinations
Justify introducing sampling common errors in examinations 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 Common Errors in Examinations 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 8, Blue 3, Green 3, Yellow 15. In a pie chart, what angle does Yellow get?[1]
- 2.In a survey: Red 8, Blue 14, Green 4, Yellow 11. In a pie chart, what angle does Blue get?[1]
- 3.In a survey: Red 6, Blue 3, Green 11, Yellow 14. In a pie chart, what angle does Yellow get?[1]
- 4.In a survey: Red 14, Blue 7, Green 3, Yellow 12. In a pie chart, what angle does Red get?[1]
- 5.In a survey: Red 14, Blue 13, Green 7, Yellow 9. In a pie chart, what angle does Red get?[2]
- 6.In a survey: Red 10, Blue 7, Green 12, Yellow 4. In a pie chart, what angle does Blue get?[2]
- 7.In a survey: Red 13, Blue 15, Green 6, Yellow 6. In a pie chart, what angle does Yellow get?[2]
- 8.In a survey: Red 4, Blue 13, Green 8, Yellow 2. In a pie chart, what angle does Green get?[2]
- 9.In a survey: Red 8, Blue 3, Green 15, Yellow 14. In a pie chart, what angle does Yellow get?[3]
- 10.In a survey: Red 5, Blue 11, Green 8, Yellow 2. In a pie chart, what angle does Red get?[3]
- 11.In a survey: Red 2, Blue 8, Green 14, Yellow 5. In a pie chart, what angle does Blue get?[3]
- 12.In a survey: Red 15, Blue 7, Green 2, Yellow 3. In a pie chart, what angle does Green get?[3]
Show answers and working
1. 186.2°
Total = 29. Yellow fraction = 15/29. 15/29 × 360° = 186.2°.
2. 136.2°
Total = 37. Blue fraction = 14/37. 14/37 × 360° = 136.2°.
3. 148.2°
Total = 34. Yellow fraction = 14/34. 14/34 × 360° = 148.2°.
4. 140°
Total = 36. Red fraction = 14/36. 14/36 × 360° = 140°.
5. 117.2°
Total = 43. Red fraction = 14/43. 14/43 × 360° = 117.2°.
6. 76.4°
Total = 33. Blue fraction = 7/33. 7/33 × 360° = 76.4°.
7. 54°
Total = 40. Yellow fraction = 6/40. 6/40 × 360° = 54°.
8. 106.7°
Total = 27. Green fraction = 8/27. 8/27 × 360° = 106.7°.
9. 126°
Total = 40. Yellow fraction = 14/40. 14/40 × 360° = 126°.
10. 69.2°
Total = 26. Red fraction = 5/26. 5/26 × 360° = 69.2°.
11. 99.3°
Total = 29. Blue fraction = 8/29. 8/29 × 360° = 99.3°.
12. 26.7°
Total = 27. Green fraction = 2/27. 2/27 × 360° = 26.7°.
Worked examples
In a survey: Red 6, Blue 10, Green 2, Yellow 3. In a pie chart, what angle does Blue get?
- Total = 21.
- Blue fraction = 10/21.
- 10/21 × 360° = 171.4°.
- Answer: 171.4°
In a survey: Red 7, Blue 6, Green 5, Yellow 2. In a pie chart, what angle does Red get?
- Total = 20.
- Red fraction = 7/20.
- 7/20 × 360° = 126°.
- Answer: 126°
In a survey: Red 5, Blue 4, Green 7, Yellow 12. In a pie chart, what angle does Blue get?
- Total = 28.
- Blue fraction = 4/28.
- 4/28 × 360° = 51.4°.
- Answer: 51.4°
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
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- What should a learner already know before this?
- Start with Working with Introducing Sampling Common Errors, Rules and Methods in Introducing Sampling Common Errors, Introducing Sampling Word Problems. Each one has its own free lesson, worksheet and quiz.
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- 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 Common Errors in Examinations?
- Move on to Introducing Sampling Essentials, Introducing Sampling Techniques, Introducing Sampling Word Problems, which build directly on this idea.
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