Free Grade 3 Working with Introducing Sampling Essentials: Step-by-step Method — Application Quizzes
Free Grade 3 quizzes 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
Core
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 10, Blue 3, Green 7, Yellow 5. In a pie chart, what angle does Blue get?[1]
- 2.In a survey: Red 14, Blue 4, Green 14, Yellow 11. In a pie chart, what angle does Yellow get?[1]
- 3.In a survey: Red 8, Blue 3, Green 4, Yellow 15. In a pie chart, what angle does Green get?[1]
- 4.In a survey: Red 15, Blue 2, Green 15, Yellow 12. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 11, Blue 9, Green 12, Yellow 13. In a pie chart, what angle does Yellow get?[2]
- 6.In a survey: Red 15, Blue 7, Green 14, Yellow 14. In a pie chart, what angle does Blue get?[2]
- 7.In a survey: Red 12, Blue 10, Green 4, Yellow 2. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 15, Blue 6, Green 8, Yellow 6. In a pie chart, what angle does Blue get?[2]
- 9.In a survey: Red 10, Blue 5, Green 10, Yellow 12. In a pie chart, what angle does Red get?[3]
- 10.In a survey: Red 3, Blue 5, Green 15, Yellow 5. In a pie chart, what angle does Red get?[3]
- 11.In a survey: Red 14, Blue 14, Green 3, Yellow 7. In a pie chart, what angle does Blue get?[3]
- 12.In a survey: Red 12, Blue 13, Green 7, Yellow 15. In a pie chart, what angle does Green get?[3]
Show answers and working
1. 43.2°
Total = 25. Blue fraction = 3/25. 3/25 × 360° = 43.2°.
2. 92.1°
Total = 43. Yellow fraction = 11/43. 11/43 × 360° = 92.1°.
3. 48°
Total = 30. Green fraction = 4/30. 4/30 × 360° = 48°.
4. 16.4°
Total = 44. Blue fraction = 2/44. 2/44 × 360° = 16.4°.
5. 104°
Total = 45. Yellow fraction = 13/45. 13/45 × 360° = 104°.
6. 50.4°
Total = 50. Blue fraction = 7/50. 7/50 × 360° = 50.4°.
7. 128.6°
Total = 28. Blue fraction = 10/28. 10/28 × 360° = 128.6°.
8. 61.7°
Total = 35. Blue fraction = 6/35. 6/35 × 360° = 61.7°.
9. 97.3°
Total = 37. Red fraction = 10/37. 10/37 × 360° = 97.3°.
10. 38.6°
Total = 28. Red fraction = 3/28. 3/28 × 360° = 38.6°.
11. 132.6°
Total = 38. Blue fraction = 14/38. 14/38 × 360° = 132.6°.
12. 53.6°
Total = 47. Green fraction = 7/47. 7/47 × 360° = 53.6°.
Worked examples
In a survey: Red 14, Blue 12, Green 7, Yellow 7. In a pie chart, what angle does Red get?
- Total = 40.
- Red fraction = 14/40.
- 14/40 × 360° = 126°.
- Answer: 126°
In a survey: Red 7, Blue 7, Green 3, Yellow 12. In a pie chart, what angle does Green get?
- Total = 29.
- Green fraction = 3/29.
- 3/29 × 360° = 37.2°.
- Answer: 37.2°
In a survey: Red 5, Blue 12, Green 3, Yellow 14. In a pie chart, what angle does Blue get?
- Total = 34.
- Blue fraction = 12/34.
- 12/34 × 360° = 127.1°.
- Answer: 127.1°
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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