Free Grade 3 Working with Introducing Sampling Essentials: Step-by-step Method — Reasoning Flashcards
Free Grade 3 flashcards 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
Core
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 7, Blue 14, Green 9, Yellow 4. In a pie chart, what angle does Yellow get?[1]
- 2.In a survey: Red 2, Blue 12, Green 15, Yellow 9. In a pie chart, what angle does Yellow get?[1]
- 3.In a survey: Red 7, Blue 12, Green 14, Yellow 3. In a pie chart, what angle does Yellow get?[1]
- 4.In a survey: Red 6, Blue 12, Green 6, Yellow 8. In a pie chart, what angle does Yellow get?[1]
- 5.In a survey: Red 12, Blue 14, Green 11, Yellow 9. In a pie chart, what angle does Red get?[2]
- 6.In a survey: Red 4, Blue 7, Green 4, Yellow 9. In a pie chart, what angle does Blue get?[2]
- 7.In a survey: Red 10, Blue 9, Green 2, Yellow 12. In a pie chart, what angle does Yellow get?[2]
- 8.In a survey: Red 6, Blue 4, Green 8, Yellow 9. In a pie chart, what angle does Blue get?[2]
- 9.In a survey: Red 11, Blue 8, Green 13, Yellow 15. In a pie chart, what angle does Blue get?[3]
- 10.In a survey: Red 11, Blue 12, Green 12, Yellow 9. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 5, Blue 11, Green 12, Yellow 15. In a pie chart, what angle does Yellow get?[3]
- 12.In a survey: Red 12, Blue 4, Green 10, Yellow 15. In a pie chart, what angle does Yellow get?[3]
Show answers and working
1. 42.4°
Total = 34. Yellow fraction = 4/34. 4/34 × 360° = 42.4°.
2. 85.3°
Total = 38. Yellow fraction = 9/38. 9/38 × 360° = 85.3°.
3. 30°
Total = 36. Yellow fraction = 3/36. 3/36 × 360° = 30°.
4. 90°
Total = 32. Yellow fraction = 8/32. 8/32 × 360° = 90°.
5. 93.9°
Total = 46. Red fraction = 12/46. 12/46 × 360° = 93.9°.
6. 105°
Total = 24. Blue fraction = 7/24. 7/24 × 360° = 105°.
7. 130.9°
Total = 33. Yellow fraction = 12/33. 12/33 × 360° = 130.9°.
8. 53.3°
Total = 27. Blue fraction = 4/27. 4/27 × 360° = 53.3°.
9. 61.3°
Total = 47. Blue fraction = 8/47. 8/47 × 360° = 61.3°.
10. 98.2°
Total = 44. Blue fraction = 12/44. 12/44 × 360° = 98.2°.
11. 125.6°
Total = 43. Yellow fraction = 15/43. 15/43 × 360° = 125.6°.
12. 131.7°
Total = 41. Yellow fraction = 15/41. 15/41 × 360° = 131.7°.
Worked examples
In a survey: Red 3, Blue 2, Green 13, Yellow 8. In a pie chart, what angle does Blue get?
- Total = 26.
- Blue fraction = 2/26.
- 2/26 × 360° = 27.7°.
- Answer: 27.7°
In a survey: Red 9, Blue 5, Green 13, Yellow 13. In a pie chart, what angle does Red get?
- Total = 40.
- Red fraction = 9/40.
- 9/40 × 360° = 81°.
- Answer: 81°
In a survey: Red 7, Blue 11, Green 12, Yellow 8. In a pie chart, what angle does Blue get?
- Total = 38.
- Blue fraction = 11/38.
- 11/38 × 360° = 104.2°.
- Answer: 104.2°
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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