Free Grade 3 Working with Working with Sampling Common Errors Lessons
Free Grade 3 lessons for Working with Working with Sampling Common Errors: 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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25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with working with sampling common errors
Explain working with working with sampling common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with working with sampling common errors
Calculate working with working with sampling common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with working with sampling common errors
Compare working with working with sampling common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with working with sampling common errors
Justify working with working with sampling common errors 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 Working with Working with Sampling Common Errors 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 15, Blue 11, Green 13, Yellow 14. In a pie chart, what angle does Yellow get?[1]
- 2.In a survey: Red 11, Blue 10, Green 13, Yellow 10. In a pie chart, what angle does Yellow get?[1]
- 3.In a survey: Red 10, Blue 5, Green 6, Yellow 14. In a pie chart, what angle does Blue get?[1]
- 4.In a survey: Red 6, Blue 14, Green 11, Yellow 14. In a pie chart, what angle does Green get?[1]
- 5.In a survey: Red 12, Blue 11, Green 4, Yellow 7. In a pie chart, what angle does Red get?[2]
- 6.In a survey: Red 2, Blue 4, Green 2, Yellow 5. In a pie chart, what angle does Green get?[2]
- 7.In a survey: Red 11, Blue 13, Green 7, Yellow 10. In a pie chart, what angle does Green get?[2]
- 8.In a survey: Red 3, Blue 3, Green 15, Yellow 12. In a pie chart, what angle does Red get?[2]
- 9.In a survey: Red 2, Blue 3, Green 4, Yellow 6. In a pie chart, what angle does Blue get?[3]
- 10.In a survey: Red 13, Blue 15, Green 13, Yellow 4. In a pie chart, what angle does Green get?[3]
- 11.In a survey: Red 7, Blue 12, Green 8, Yellow 2. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 3, Blue 2, Green 6, Yellow 6. In a pie chart, what angle does Red get?[3]
Show answers and working
1. 95.1°
Total = 53. Yellow fraction = 14/53. 14/53 × 360° = 95.1°.
2. 81.8°
Total = 44. Yellow fraction = 10/44. 10/44 × 360° = 81.8°.
3. 51.4°
Total = 35. Blue fraction = 5/35. 5/35 × 360° = 51.4°.
4. 88°
Total = 45. Green fraction = 11/45. 11/45 × 360° = 88°.
5. 127.1°
Total = 34. Red fraction = 12/34. 12/34 × 360° = 127.1°.
6. 55.4°
Total = 13. Green fraction = 2/13. 2/13 × 360° = 55.4°.
7. 61.5°
Total = 41. Green fraction = 7/41. 7/41 × 360° = 61.5°.
8. 32.7°
Total = 33. Red fraction = 3/33. 3/33 × 360° = 32.7°.
9. 72°
Total = 15. Blue fraction = 3/15. 3/15 × 360° = 72°.
10. 104°
Total = 45. Green fraction = 13/45. 13/45 × 360° = 104°.
11. 99.3°
Total = 29. Green fraction = 8/29. 8/29 × 360° = 99.3°.
12. 63.5°
Total = 17. Red fraction = 3/17. 3/17 × 360° = 63.5°.
Worked examples
In a survey: Red 15, Blue 14, Green 6, Yellow 14. In a pie chart, what angle does Green get?
- Total = 49.
- Green fraction = 6/49.
- 6/49 × 360° = 44.1°.
- Answer: 44.1°
In a survey: Red 10, Blue 10, Green 11, Yellow 2. In a pie chart, what angle does Blue get?
- Total = 33.
- Blue fraction = 10/33.
- 10/33 × 360° = 109.1°.
- Answer: 109.1°
In a survey: Red 15, Blue 12, Green 2, Yellow 5. In a pie chart, what angle does Yellow get?
- Total = 34.
- Yellow fraction = 5/34.
- 5/34 × 360° = 52.9°.
- Answer: 52.9°
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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- Start with Rules and Methods in Working with Sampling Common Errors, Key Vocabulary of Working with Sampling Common Errors, Working with Sampling Word Problems. Each one has its own free lesson, worksheet and quiz.
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- Move on to Working with Sampling Common Errors in Examinations, Working with Sampling Essentials, Working with Sampling Techniques, Working with Sampling Word Problems, which build directly on this idea.
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