Free Grade 3 Working with Introducing Sampling Essentials: Step-by-step Method — Understanding Quizzes
Free Grade 3 quizzes 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
Core
15 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 11, Blue 9, Green 2, Yellow 14. In a pie chart, what angle does Green get?[1]
- 2.In a survey: Red 10, Blue 14, Green 2, Yellow 6. In a pie chart, what angle does Green get?[1]
- 3.In a survey: Red 12, Blue 7, Green 7, Yellow 8. In a pie chart, what angle does Yellow get?[1]
- 4.In a survey: Red 5, Blue 3, Green 5, Yellow 12. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 15, Blue 8, Green 9, Yellow 4. In a pie chart, what angle does Green get?[2]
- 6.In a survey: Red 11, Blue 5, Green 14, Yellow 6. In a pie chart, what angle does Yellow get?[2]
- 7.In a survey: Red 13, Blue 6, Green 13, Yellow 10. In a pie chart, what angle does Green get?[2]
- 8.In a survey: Red 5, Blue 11, Green 10, Yellow 15. In a pie chart, what angle does Yellow get?[2]
- 9.In a survey: Red 9, Blue 10, Green 11, Yellow 12. In a pie chart, what angle does Yellow get?[3]
- 10.In a survey: Red 15, Blue 9, Green 12, Yellow 15. In a pie chart, what angle does Yellow get?[3]
- 11.In a survey: Red 7, Blue 6, Green 8, Yellow 7. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 14, Blue 15, Green 13, Yellow 5. In a pie chart, what angle does Blue get?[3]
Show answers and working
1. 20°
Total = 36. Green fraction = 2/36. 2/36 × 360° = 20°.
2. 22.5°
Total = 32. Green fraction = 2/32. 2/32 × 360° = 22.5°.
3. 84.7°
Total = 34. Yellow fraction = 8/34. 8/34 × 360° = 84.7°.
4. 43.2°
Total = 25. Blue fraction = 3/25. 3/25 × 360° = 43.2°.
5. 90°
Total = 36. Green fraction = 9/36. 9/36 × 360° = 90°.
6. 60°
Total = 36. Yellow fraction = 6/36. 6/36 × 360° = 60°.
7. 111.4°
Total = 42. Green fraction = 13/42. 13/42 × 360° = 111.4°.
8. 131.7°
Total = 41. Yellow fraction = 15/41. 15/41 × 360° = 131.7°.
9. 102.9°
Total = 42. Yellow fraction = 12/42. 12/42 × 360° = 102.9°.
10. 105.9°
Total = 51. Yellow fraction = 15/51. 15/51 × 360° = 105.9°.
11. 102.9°
Total = 28. Green fraction = 8/28. 8/28 × 360° = 102.9°.
12. 114.9°
Total = 47. Blue fraction = 15/47. 15/47 × 360° = 114.9°.
Worked examples
In a survey: Red 4, Blue 10, Green 7, Yellow 8. In a pie chart, what angle does Green get?
- Total = 29.
- Green fraction = 7/29.
- 7/29 × 360° = 86.9°.
- Answer: 86.9°
In a survey: Red 7, Blue 6, Green 5, Yellow 8. In a pie chart, what angle does Blue get?
- Total = 26.
- Blue fraction = 6/26.
- 6/26 × 360° = 83.1°.
- Answer: 83.1°
In a survey: Red 6, Blue 2, Green 10, Yellow 15. In a pie chart, what angle does Yellow get?
- Total = 33.
- Yellow fraction = 15/33.
- 15/33 × 360° = 163.6°.
- Answer: 163.6°
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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