Free Grade 3 Working with Introducing Sampling Essentials: Step-by-step Method — Understanding Lessons
Free Grade 3 lessons for Working with Introducing Sampling Essentials: Step-by-step Method — Understanding: 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
30 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 — understanding
Identify working with introducing sampling essentials: step-by-step method — understanding accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with introducing sampling essentials: step-by-step method — understanding
Explain working with introducing sampling essentials: step-by-step method — understanding accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing sampling essentials: step-by-step method — understanding
Calculate working with introducing sampling essentials: step-by-step method — understanding accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing sampling essentials: step-by-step method — understanding
Compare working with introducing sampling essentials: step-by-step method — understanding 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 — Understanding 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 5, Blue 4, Green 4, Yellow 15. In a pie chart, what angle does Blue get?[1]
- 2.In a survey: Red 2, Blue 10, Green 3, Yellow 14. In a pie chart, what angle does Yellow get?[1]
- 3.In a survey: Red 11, Blue 5, Green 7, Yellow 8. In a pie chart, what angle does Blue get?[1]
- 4.In a survey: Red 12, Blue 5, Green 8, Yellow 6. In a pie chart, what angle does Red get?[1]
- 5.In a survey: Red 13, Blue 7, Green 13, Yellow 10. In a pie chart, what angle does Blue get?[2]
- 6.In a survey: Red 10, Blue 5, Green 15, Yellow 3. In a pie chart, what angle does Red get?[2]
- 7.In a survey: Red 14, Blue 10, Green 5, Yellow 14. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 14, Blue 4, Green 14, Yellow 4. In a pie chart, what angle does Yellow get?[2]
- 9.In a survey: Red 4, Blue 2, Green 4, Yellow 14. In a pie chart, what angle does Blue get?[3]
- 10.In a survey: Red 14, Blue 14, Green 3, Yellow 15. In a pie chart, what angle does Yellow get?[3]
- 11.In a survey: Red 6, Blue 15, Green 4, Yellow 15. In a pie chart, what angle does Yellow get?[3]
- 12.In a survey: Red 10, Blue 12, Green 3, Yellow 7. In a pie chart, what angle does Yellow get?[3]
Show answers and working
1. 51.4°
Total = 28. Blue fraction = 4/28. 4/28 × 360° = 51.4°.
2. 173.8°
Total = 29. Yellow fraction = 14/29. 14/29 × 360° = 173.8°.
3. 58.1°
Total = 31. Blue fraction = 5/31. 5/31 × 360° = 58.1°.
4. 139.4°
Total = 31. Red fraction = 12/31. 12/31 × 360° = 139.4°.
5. 58.6°
Total = 43. Blue fraction = 7/43. 7/43 × 360° = 58.6°.
6. 109.1°
Total = 33. Red fraction = 10/33. 10/33 × 360° = 109.1°.
7. 83.7°
Total = 43. Blue fraction = 10/43. 10/43 × 360° = 83.7°.
8. 40°
Total = 36. Yellow fraction = 4/36. 4/36 × 360° = 40°.
9. 30°
Total = 24. Blue fraction = 2/24. 2/24 × 360° = 30°.
10. 117.4°
Total = 46. Yellow fraction = 15/46. 15/46 × 360° = 117.4°.
11. 135°
Total = 40. Yellow fraction = 15/40. 15/40 × 360° = 135°.
12. 78.8°
Total = 32. Yellow fraction = 7/32. 7/32 × 360° = 78.8°.
Worked examples
In a survey: Red 7, Blue 9, Green 6, Yellow 2. In a pie chart, what angle does Green get?
- Total = 24.
- Green fraction = 6/24.
- 6/24 × 360° = 90°.
- Answer: 90°
In a survey: Red 5, Blue 7, Green 13, Yellow 11. In a pie chart, what angle does Red get?
- Total = 36.
- Red fraction = 5/36.
- 5/36 × 360° = 50°.
- Answer: 50°
In a survey: Red 14, Blue 14, Green 10, Yellow 13. In a pie chart, what angle does Green get?
- Total = 51.
- Green fraction = 10/51.
- 10/51 × 360° = 70.6°.
- Answer: 70.6°
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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