Free Grade 3 Working with Introducing Sampling Essentials: Step-by-step Method — Application Lessons
Free Grade 3 lessons for Working with Introducing Sampling Essentials: Step-by-step Method — Application: 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.
- RememberIdentify working with introducing sampling essentials: step-by-step method — application
Identify working with introducing sampling essentials: step-by-step method — application accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with introducing sampling essentials: step-by-step method — application
Explain working with introducing sampling essentials: step-by-step method — application accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing sampling essentials: step-by-step method — application
Calculate working with introducing sampling essentials: step-by-step method — application accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing sampling essentials: step-by-step method — application
Compare working with introducing sampling essentials: step-by-step method — application 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 Essentials: Step-by-step Method — Application 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 5, Green 7, Yellow 3. In a pie chart, what angle does Red get?[1]
- 2.In a survey: Red 7, Blue 6, Green 6, Yellow 13. In a pie chart, what angle does Red get?[1]
- 3.In a survey: Red 4, Blue 7, Green 11, Yellow 8. In a pie chart, what angle does Red get?[1]
- 4.In a survey: Red 3, Blue 14, Green 6, Yellow 9. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 12, Blue 3, Green 3, Yellow 15. In a pie chart, what angle does Green get?[2]
- 6.In a survey: Red 15, Blue 15, Green 14, Yellow 15. In a pie chart, what angle does Red get?[2]
- 7.In a survey: Red 13, Blue 9, Green 5, Yellow 12. In a pie chart, what angle does Yellow get?[2]
- 8.In a survey: Red 4, Blue 13, Green 5, Yellow 3. In a pie chart, what angle does Yellow get?[2]
- 9.In a survey: Red 12, Blue 2, Green 8, Yellow 12. In a pie chart, what angle does Yellow get?[3]
- 10.In a survey: Red 10, Blue 14, Green 10, Yellow 9. In a pie chart, what angle does Green get?[3]
- 11.In a survey: Red 5, Blue 7, Green 8, Yellow 13. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 8, Blue 7, Green 8, Yellow 14. In a pie chart, what angle does Green get?[3]
Show answers and working
1. 180°
Total = 30. Red fraction = 15/30. 15/30 × 360° = 180°.
2. 78.8°
Total = 32. Red fraction = 7/32. 7/32 × 360° = 78.8°.
3. 48°
Total = 30. Red fraction = 4/30. 4/30 × 360° = 48°.
4. 157.5°
Total = 32. Blue fraction = 14/32. 14/32 × 360° = 157.5°.
5. 32.7°
Total = 33. Green fraction = 3/33. 3/33 × 360° = 32.7°.
6. 91.5°
Total = 59. Red fraction = 15/59. 15/59 × 360° = 91.5°.
7. 110.8°
Total = 39. Yellow fraction = 12/39. 12/39 × 360° = 110.8°.
8. 43.2°
Total = 25. Yellow fraction = 3/25. 3/25 × 360° = 43.2°.
9. 127.1°
Total = 34. Yellow fraction = 12/34. 12/34 × 360° = 127.1°.
10. 83.7°
Total = 43. Green fraction = 10/43. 10/43 × 360° = 83.7°.
11. 87.3°
Total = 33. Green fraction = 8/33. 8/33 × 360° = 87.3°.
12. 77.8°
Total = 37. Green fraction = 8/37. 8/37 × 360° = 77.8°.
Worked examples
In a survey: Red 6, Blue 4, Green 2, Yellow 10. In a pie chart, what angle does Yellow get?
- Total = 22.
- Yellow fraction = 10/22.
- 10/22 × 360° = 163.6°.
- Answer: 163.6°
In a survey: Red 6, Blue 7, Green 14, Yellow 2. In a pie chart, what angle does Red get?
- Total = 29.
- Red fraction = 6/29.
- 6/29 × 360° = 74.5°.
- Answer: 74.5°
In a survey: Red 4, Blue 8, Green 9, Yellow 2. In a pie chart, what angle does Blue get?
- Total = 23.
- Blue fraction = 8/23.
- 8/23 × 360° = 125.2°.
- Answer: 125.2°
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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