Free Grade 3 Working with Introducing Sampling Techniques: Worked Examples Quizzes
Free Grade 3 quizzes for Working with Introducing Sampling Techniques: Worked Examples: 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 techniques: worked examples
Identify working with introducing sampling techniques: worked examples accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with introducing sampling techniques: worked examples
Explain working with introducing sampling techniques: worked examples accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing sampling techniques: worked examples
Calculate working with introducing sampling techniques: worked examples accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing sampling techniques: worked examples
Compare working with introducing sampling techniques: worked examples 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: Worked Examples 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 14, Blue 13, Green 12, Yellow 15. In a pie chart, what angle does Yellow get?[1]
- 2.In a survey: Red 4, Blue 4, Green 6, Yellow 11. In a pie chart, what angle does Green get?[1]
- 3.In a survey: Red 8, Blue 6, Green 10, Yellow 3. In a pie chart, what angle does Green get?[1]
- 4.In a survey: Red 15, Blue 14, Green 10, Yellow 2. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 6, Blue 14, Green 4, Yellow 5. In a pie chart, what angle does Blue get?[2]
- 6.In a survey: Red 6, Blue 14, Green 11, Yellow 13. In a pie chart, what angle does Yellow get?[2]
- 7.In a survey: Red 13, Blue 14, Green 12, Yellow 4. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 2, Blue 14, Green 3, Yellow 3. In a pie chart, what angle does Yellow get?[2]
- 9.In a survey: Red 2, Blue 13, Green 9, Yellow 3. In a pie chart, what angle does Blue get?[3]
- 10.In a survey: Red 10, Blue 14, Green 5, Yellow 11. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 9, Blue 3, Green 4, Yellow 11. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 6, Blue 5, Green 14, Yellow 7. In a pie chart, what angle does Blue get?[3]
Show answers and working
1. 100°
Total = 54. Yellow fraction = 15/54. 15/54 × 360° = 100°.
2. 86.4°
Total = 25. Green fraction = 6/25. 6/25 × 360° = 86.4°.
3. 133.3°
Total = 27. Green fraction = 10/27. 10/27 × 360° = 133.3°.
4. 122.9°
Total = 41. Blue fraction = 14/41. 14/41 × 360° = 122.9°.
5. 173.8°
Total = 29. Blue fraction = 14/29. 14/29 × 360° = 173.8°.
6. 106.4°
Total = 44. Yellow fraction = 13/44. 13/44 × 360° = 106.4°.
7. 117.2°
Total = 43. Blue fraction = 14/43. 14/43 × 360° = 117.2°.
8. 49.1°
Total = 22. Yellow fraction = 3/22. 3/22 × 360° = 49.1°.
9. 173.3°
Total = 27. Blue fraction = 13/27. 13/27 × 360° = 173.3°.
10. 126°
Total = 40. Blue fraction = 14/40. 14/40 × 360° = 126°.
11. 53.3°
Total = 27. Green fraction = 4/27. 4/27 × 360° = 53.3°.
12. 56.3°
Total = 32. Blue fraction = 5/32. 5/32 × 360° = 56.3°.
Worked examples
In a survey: Red 10, Blue 8, Green 14, Yellow 3. In a pie chart, what angle does Yellow get?
- Total = 35.
- Yellow fraction = 3/35.
- 3/35 × 360° = 30.9°.
- Answer: 30.9°
In a survey: Red 2, Blue 3, Green 13, Yellow 5. In a pie chart, what angle does Yellow get?
- Total = 23.
- Yellow fraction = 5/23.
- 5/23 × 360° = 78.3°.
- Answer: 78.3°
In a survey: Red 7, Blue 11, Green 2, Yellow 10. In a pie chart, what angle does Blue get?
- Total = 30.
- Blue fraction = 11/30.
- 11/30 × 360° = 132°.
- Answer: 132°
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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Frequently asked
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- What should a learner already know before this?
- Start with Working with Introducing Sampling Techniques: Step-by-step Method, What is Working with Introducing Sampling Techniques, Rules and Methods in Introducing Sampling Techniques. Each one has its own free lesson, worksheet and quiz.
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- Move on to Working with Introducing Sampling Techniques: Visual Models, Working with Introducing Sampling Techniques: Common Mistakes, Working with Introducing Sampling Techniques: Real-life Applications, Introduction to Introducing Sampling Techniques, which build directly on this idea.
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