Free Grade 3 Working with Introducing Sampling Techniques: Step-by-step Method — Application Quizzes
Free Grade 3 quizzes 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
Core
30 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 14, Green 11, Yellow 6. In a pie chart, what angle does Green get?[1]
- 2.In a survey: Red 13, Blue 15, Green 3, Yellow 3. In a pie chart, what angle does Red get?[1]
- 3.In a survey: Red 5, Blue 12, Green 4, Yellow 11. In a pie chart, what angle does Yellow get?[1]
- 4.In a survey: Red 12, Blue 12, Green 7, Yellow 12. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 8, Blue 4, Green 6, Yellow 15. In a pie chart, what angle does Red get?[2]
- 6.In a survey: Red 8, Blue 12, Green 4, Yellow 11. In a pie chart, what angle does Yellow get?[2]
- 7.In a survey: Red 12, Blue 4, Green 10, Yellow 13. In a pie chart, what angle does Red get?[2]
- 8.In a survey: Red 5, Blue 8, Green 13, Yellow 9. In a pie chart, what angle does Red get?[2]
- 9.In a survey: Red 4, Blue 5, Green 2, Yellow 13. In a pie chart, what angle does Green get?[3]
- 10.In a survey: Red 13, Blue 9, Green 15, Yellow 9. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 9, Blue 15, Green 10, Yellow 11. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 13, Blue 12, Green 12, Yellow 7. In a pie chart, what angle does Blue get?[3]
Show answers and working
1. 104.2°
Total = 38. Green fraction = 11/38. 11/38 × 360° = 104.2°.
2. 137.6°
Total = 34. Red fraction = 13/34. 13/34 × 360° = 137.6°.
3. 123.8°
Total = 32. Yellow fraction = 11/32. 11/32 × 360° = 123.8°.
4. 100.5°
Total = 43. Blue fraction = 12/43. 12/43 × 360° = 100.5°.
5. 87.3°
Total = 33. Red fraction = 8/33. 8/33 × 360° = 87.3°.
6. 113.1°
Total = 35. Yellow fraction = 11/35. 11/35 × 360° = 113.1°.
7. 110.8°
Total = 39. Red fraction = 12/39. 12/39 × 360° = 110.8°.
8. 51.4°
Total = 35. Red fraction = 5/35. 5/35 × 360° = 51.4°.
9. 30°
Total = 24. Green fraction = 2/24. 2/24 × 360° = 30°.
10. 70.4°
Total = 46. Blue fraction = 9/46. 9/46 × 360° = 70.4°.
11. 80°
Total = 45. Green fraction = 10/45. 10/45 × 360° = 80°.
12. 98.2°
Total = 44. Blue fraction = 12/44. 12/44 × 360° = 98.2°.
Worked examples
In a survey: Red 7, Blue 12, Green 13, Yellow 15. In a pie chart, what angle does Blue get?
- Total = 47.
- Blue fraction = 12/47.
- 12/47 × 360° = 91.9°.
- Answer: 91.9°
In a survey: Red 9, Blue 7, Green 15, Yellow 12. In a pie chart, what angle does Red get?
- Total = 43.
- Red fraction = 9/43.
- 9/43 × 360° = 75.3°.
- Answer: 75.3°
In a survey: Red 14, Blue 5, Green 14, Yellow 5. In a pie chart, what angle does Red get?
- Total = 38.
- Red fraction = 14/38.
- 14/38 × 360° = 132.6°.
- Answer: 132.6°
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
How mastery is evidenced, and which standards it maps to.
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- Start with Working with Introducing Sampling Techniques: Step-by-step Method — Understanding, Working with Introducing Sampling Techniques: Step-by-step Method — Recognition, What is Working with Introducing Sampling Techniques. Each one has its own free lesson, worksheet and quiz.
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