Free Grade 3 Working with Introducing Sampling Techniques: Common Mistakes Flashcards
Free Grade 3 flashcards for Working with Introducing Sampling Techniques: Common Mistakes: 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
Higher
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with introducing sampling techniques: common mistakes
Explain working with introducing sampling techniques: common mistakes accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing sampling techniques: common mistakes
Calculate working with introducing sampling techniques: common mistakes accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing sampling techniques: common mistakes
Compare working with introducing sampling techniques: common mistakes accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with introducing sampling techniques: common mistakes
Justify working with introducing sampling techniques: common mistakes 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 Introducing Sampling Techniques: Common Mistakes 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 9, Blue 11, Green 8, Yellow 2. In a pie chart, what angle does Red get?[1]
- 2.In a survey: Red 7, Blue 4, Green 7, Yellow 2. In a pie chart, what angle does Green get?[1]
- 3.In a survey: Red 5, Blue 7, Green 11, Yellow 15. In a pie chart, what angle does Blue get?[1]
- 4.In a survey: Red 4, Blue 5, Green 6, Yellow 14. In a pie chart, what angle does Yellow get?[1]
- 5.In a survey: Red 15, Blue 3, Green 12, Yellow 11. In a pie chart, what angle does Yellow get?[2]
- 6.In a survey: Red 13, Blue 5, Green 15, Yellow 12. In a pie chart, what angle does Blue get?[2]
- 7.In a survey: Red 15, Blue 2, Green 8, Yellow 6. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 8, Blue 13, Green 5, Yellow 12. In a pie chart, what angle does Red get?[2]
- 9.In a survey: Red 8, Blue 5, Green 3, Yellow 4. In a pie chart, what angle does Yellow get?[3]
- 10.In a survey: Red 10, Blue 15, Green 4, Yellow 9. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 2, Blue 8, Green 8, Yellow 14. In a pie chart, what angle does Red get?[3]
- 12.In a survey: Red 2, Blue 7, Green 4, Yellow 12. In a pie chart, what angle does Yellow get?[3]
Show answers and working
1. 108°
Total = 30. Red fraction = 9/30. 9/30 × 360° = 108°.
2. 126°
Total = 20. Green fraction = 7/20. 7/20 × 360° = 126°.
3. 66.3°
Total = 38. Blue fraction = 7/38. 7/38 × 360° = 66.3°.
4. 173.8°
Total = 29. Yellow fraction = 14/29. 14/29 × 360° = 173.8°.
5. 96.6°
Total = 41. Yellow fraction = 11/41. 11/41 × 360° = 96.6°.
6. 40°
Total = 45. Blue fraction = 5/45. 5/45 × 360° = 40°.
7. 23.2°
Total = 31. Blue fraction = 2/31. 2/31 × 360° = 23.2°.
8. 75.8°
Total = 38. Red fraction = 8/38. 8/38 × 360° = 75.8°.
9. 72°
Total = 20. Yellow fraction = 4/20. 4/20 × 360° = 72°.
10. 142.1°
Total = 38. Blue fraction = 15/38. 15/38 × 360° = 142.1°.
11. 22.5°
Total = 32. Red fraction = 2/32. 2/32 × 360° = 22.5°.
12. 172.8°
Total = 25. Yellow fraction = 12/25. 12/25 × 360° = 172.8°.
Worked examples
In a survey: Red 11, Blue 12, Green 2, Yellow 13. In a pie chart, what angle does Blue get?
- Total = 38.
- Blue fraction = 12/38.
- 12/38 × 360° = 113.7°.
- Answer: 113.7°
In a survey: Red 15, Blue 3, Green 13, Yellow 6. In a pie chart, what angle does Yellow get?
- Total = 37.
- Yellow fraction = 6/37.
- 6/37 × 360° = 58.4°.
- Answer: 58.4°
In a survey: Red 3, Blue 10, Green 10, Yellow 2. In a pie chart, what angle does Blue get?
- Total = 25.
- Blue fraction = 10/25.
- 10/25 × 360° = 144°.
- Answer: 144°
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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