Free Grade 3 Working with Introducing Sampling Essentials: Step-by-step Method — Reasoning Quizzes
Free Grade 3 quizzes for Working with Introducing Sampling Essentials: Step-by-step Method — Reasoning: 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
Stretch
25 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 — reasoning
Identify working with introducing sampling essentials: step-by-step method — reasoning accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with introducing sampling essentials: step-by-step method — reasoning
Explain working with introducing sampling essentials: step-by-step method — reasoning accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing sampling essentials: step-by-step method — reasoning
Calculate working with introducing sampling essentials: step-by-step method — reasoning accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing sampling essentials: step-by-step method — reasoning
Compare working with introducing sampling essentials: step-by-step method — reasoning 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 — Reasoning 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 8, Blue 14, Green 3, Yellow 3. In a pie chart, what angle does Green get?[1]
- 2.In a survey: Red 9, Blue 7, Green 14, Yellow 14. In a pie chart, what angle does Green get?[1]
- 3.In a survey: Red 14, Blue 2, Green 13, Yellow 5. In a pie chart, what angle does Yellow get?[1]
- 4.In a survey: Red 9, Blue 13, Green 12, Yellow 8. In a pie chart, what angle does Yellow get?[1]
- 5.In a survey: Red 11, Blue 4, Green 9, Yellow 6. In a pie chart, what angle does Green get?[2]
- 6.In a survey: Red 2, Blue 2, Green 5, Yellow 12. In a pie chart, what angle does Green get?[2]
- 7.In a survey: Red 5, Blue 12, Green 7, Yellow 6. In a pie chart, what angle does Red get?[2]
- 8.In a survey: Red 14, Blue 12, Green 3, Yellow 7. In a pie chart, what angle does Green get?[2]
- 9.In a survey: Red 2, Blue 3, Green 12, Yellow 11. In a pie chart, what angle does Yellow get?[3]
- 10.In a survey: Red 9, Blue 3, Green 15, Yellow 4. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 8, Blue 11, Green 13, Yellow 3. In a pie chart, what angle does Yellow get?[3]
- 12.In a survey: Red 15, Blue 14, Green 11, Yellow 3. In a pie chart, what angle does Blue get?[3]
Show answers and working
1. 38.6°
Total = 28. Green fraction = 3/28. 3/28 × 360° = 38.6°.
2. 114.5°
Total = 44. Green fraction = 14/44. 14/44 × 360° = 114.5°.
3. 52.9°
Total = 34. Yellow fraction = 5/34. 5/34 × 360° = 52.9°.
4. 68.6°
Total = 42. Yellow fraction = 8/42. 8/42 × 360° = 68.6°.
5. 108°
Total = 30. Green fraction = 9/30. 9/30 × 360° = 108°.
6. 85.7°
Total = 21. Green fraction = 5/21. 5/21 × 360° = 85.7°.
7. 60°
Total = 30. Red fraction = 5/30. 5/30 × 360° = 60°.
8. 30°
Total = 36. Green fraction = 3/36. 3/36 × 360° = 30°.
9. 141.4°
Total = 28. Yellow fraction = 11/28. 11/28 × 360° = 141.4°.
10. 34.8°
Total = 31. Blue fraction = 3/31. 3/31 × 360° = 34.8°.
11. 30.9°
Total = 35. Yellow fraction = 3/35. 3/35 × 360° = 30.9°.
12. 117.2°
Total = 43. Blue fraction = 14/43. 14/43 × 360° = 117.2°.
Worked examples
In a survey: Red 14, Blue 10, Green 14, Yellow 8. In a pie chart, what angle does Blue get?
- Total = 46.
- Blue fraction = 10/46.
- 10/46 × 360° = 78.3°.
- Answer: 78.3°
In a survey: Red 10, Blue 6, Green 7, Yellow 15. In a pie chart, what angle does Blue get?
- Total = 38.
- Blue fraction = 6/38.
- 6/38 × 360° = 56.8°.
- Answer: 56.8°
In a survey: Red 7, Blue 2, Green 9, Yellow 12. In a pie chart, what angle does Red get?
- Total = 30.
- Red fraction = 7/30.
- 7/30 × 360° = 84°.
- Answer: 84°
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 Essentials: Step-by-step Method — Application, Working with Introducing Sampling Essentials: Step-by-step Method — Understanding, What is Working with Introducing Sampling Essentials. Each one has its own free lesson, worksheet and quiz.
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