Free Grade 3 Working with Introducing Sampling Essentials: Step-by-step Method — Reasoning Worksheets
Free Grade 3 worksheets 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
Foundation
35 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 15, Blue 9, Green 4, Yellow 10. In a pie chart, what angle does Yellow get?[1]
- 2.In a survey: Red 7, Blue 6, Green 9, Yellow 15. In a pie chart, what angle does Green get?[1]
- 3.In a survey: Red 8, Blue 3, Green 7, Yellow 13. In a pie chart, what angle does Blue get?[1]
- 4.In a survey: Red 10, Blue 5, Green 15, Yellow 12. In a pie chart, what angle does Red get?[1]
- 5.In a survey: Red 11, Blue 10, Green 8, Yellow 2. In a pie chart, what angle does Red get?[2]
- 6.In a survey: Red 12, Blue 13, Green 5, Yellow 8. In a pie chart, what angle does Red get?[2]
- 7.In a survey: Red 12, Blue 13, Green 12, Yellow 3. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 13, Blue 11, Green 10, Yellow 8. In a pie chart, what angle does Green get?[2]
- 9.In a survey: Red 2, Blue 4, Green 12, Yellow 14. In a pie chart, what angle does Green get?[3]
- 10.In a survey: Red 12, Blue 12, Green 7, Yellow 3. In a pie chart, what angle does Green get?[3]
- 11.In a survey: Red 13, Blue 5, Green 2, Yellow 14. In a pie chart, what angle does Red get?[3]
- 12.In a survey: Red 12, Blue 13, Green 10, Yellow 10. In a pie chart, what angle does Yellow get?[3]
Show answers and working
1. 94.7°
Total = 38. Yellow fraction = 10/38. 10/38 × 360° = 94.7°.
2. 87.6°
Total = 37. Green fraction = 9/37. 9/37 × 360° = 87.6°.
3. 34.8°
Total = 31. Blue fraction = 3/31. 3/31 × 360° = 34.8°.
4. 85.7°
Total = 42. Red fraction = 10/42. 10/42 × 360° = 85.7°.
5. 127.7°
Total = 31. Red fraction = 11/31. 11/31 × 360° = 127.7°.
6. 113.7°
Total = 38. Red fraction = 12/38. 12/38 × 360° = 113.7°.
7. 117°
Total = 40. Blue fraction = 13/40. 13/40 × 360° = 117°.
8. 85.7°
Total = 42. Green fraction = 10/42. 10/42 × 360° = 85.7°.
9. 135°
Total = 32. Green fraction = 12/32. 12/32 × 360° = 135°.
10. 74.1°
Total = 34. Green fraction = 7/34. 7/34 × 360° = 74.1°.
11. 137.6°
Total = 34. Red fraction = 13/34. 13/34 × 360° = 137.6°.
12. 80°
Total = 45. Yellow fraction = 10/45. 10/45 × 360° = 80°.
Worked examples
In a survey: Red 8, Blue 3, Green 9, Yellow 2. In a pie chart, what angle does Yellow get?
- Total = 22.
- Yellow fraction = 2/22.
- 2/22 × 360° = 32.7°.
- Answer: 32.7°
In a survey: Red 14, Blue 6, Green 10, Yellow 11. In a pie chart, what angle does Green get?
- Total = 41.
- Green fraction = 10/41.
- 10/41 × 360° = 87.8°.
- Answer: 87.8°
In a survey: Red 13, Blue 6, Green 14, Yellow 3. In a pie chart, what angle does Blue get?
- Total = 36.
- Blue fraction = 6/36.
- 6/36 × 360° = 60°.
- Answer: 60°
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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