Free Grade 3 Working with Introducing Sampling Techniques: Step-by-step Method — Application Lessons
Free Grade 3 lessons for Working with Introducing Sampling Techniques: 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
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify working with introducing sampling techniques: step-by-step method — application
Identify working with introducing sampling techniques: step-by-step method — application accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with introducing sampling techniques: step-by-step method — application
Explain working with introducing sampling techniques: step-by-step method — application accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing sampling techniques: step-by-step method — application
Calculate working with introducing sampling techniques: step-by-step method — application accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing sampling techniques: step-by-step method — application
Compare working with introducing sampling techniques: 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 Techniques: 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 7, Blue 15, Green 7, Yellow 3. In a pie chart, what angle does Green get?[1]
- 2.In a survey: Red 11, Blue 14, Green 4, Yellow 3. In a pie chart, what angle does Yellow get?[1]
- 3.In a survey: Red 14, Blue 14, Green 4, Yellow 15. In a pie chart, what angle does Red get?[1]
- 4.In a survey: Red 3, Blue 2, Green 12, Yellow 6. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 15, Blue 2, Green 2, Yellow 12. In a pie chart, what angle does Blue get?[2]
- 6.In a survey: Red 9, Blue 4, Green 10, Yellow 3. In a pie chart, what angle does Red get?[2]
- 7.In a survey: Red 11, Blue 11, Green 3, Yellow 7. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 4, Blue 6, Green 10, Yellow 4. In a pie chart, what angle does Blue get?[2]
- 9.In a survey: Red 5, Blue 4, Green 2, Yellow 11. In a pie chart, what angle does Blue get?[3]
- 10.In a survey: Red 3, Blue 3, Green 11, Yellow 7. In a pie chart, what angle does Yellow get?[3]
- 11.In a survey: Red 15, Blue 6, Green 6, Yellow 8. In a pie chart, what angle does Blue get?[3]
- 12.In a survey: Red 2, Blue 4, Green 10, Yellow 12. In a pie chart, what angle does Red get?[3]
Show answers and working
1. 78.8°
Total = 32. Green fraction = 7/32. 7/32 × 360° = 78.8°.
2. 33.8°
Total = 32. Yellow fraction = 3/32. 3/32 × 360° = 33.8°.
3. 107.2°
Total = 47. Red fraction = 14/47. 14/47 × 360° = 107.2°.
4. 31.3°
Total = 23. Blue fraction = 2/23. 2/23 × 360° = 31.3°.
5. 23.2°
Total = 31. Blue fraction = 2/31. 2/31 × 360° = 23.2°.
6. 124.6°
Total = 26. Red fraction = 9/26. 9/26 × 360° = 124.6°.
7. 123.8°
Total = 32. Blue fraction = 11/32. 11/32 × 360° = 123.8°.
8. 90°
Total = 24. Blue fraction = 6/24. 6/24 × 360° = 90°.
9. 65.5°
Total = 22. Blue fraction = 4/22. 4/22 × 360° = 65.5°.
10. 105°
Total = 24. Yellow fraction = 7/24. 7/24 × 360° = 105°.
11. 61.7°
Total = 35. Blue fraction = 6/35. 6/35 × 360° = 61.7°.
12. 25.7°
Total = 28. Red fraction = 2/28. 2/28 × 360° = 25.7°.
Worked examples
In a survey: Red 12, Blue 4, Green 13, Yellow 2. In a pie chart, what angle does Green get?
- Total = 31.
- Green fraction = 13/31.
- 13/31 × 360° = 151°.
- Answer: 151°
In a survey: Red 10, Blue 6, Green 9, Yellow 2. In a pie chart, what angle does Yellow get?
- Total = 27.
- Yellow fraction = 2/27.
- 2/27 × 360° = 26.7°.
- Answer: 26.7°
In a survey: Red 10, Blue 12, Green 5, Yellow 9. In a pie chart, what angle does Green get?
- Total = 36.
- Green fraction = 5/36.
- 5/36 × 360° = 50°.
- Answer: 50°
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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