Free Grade 3 Working with Introducing Sampling Techniques: Visual Models — Understanding Flashcards
Free Grade 3 flashcards for Working with Introducing Sampling Techniques: Visual Models — Understanding: 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°.
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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: visual models — understanding
Identify working with introducing sampling techniques: visual models — understanding accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with introducing sampling techniques: visual models — understanding
Explain working with introducing sampling techniques: visual models — understanding accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing sampling techniques: visual models — understanding
Calculate working with introducing sampling techniques: visual models — understanding accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing sampling techniques: visual models — understanding
Compare working with introducing sampling techniques: visual models — understanding 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: Visual Models — Understanding 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 5, Blue 8, Green 13, Yellow 2. In a pie chart, what angle does Blue get?[1]
- 2.In a survey: Red 12, Blue 11, Green 9, Yellow 13. In a pie chart, what angle does Green get?[1]
- 3.In a survey: Red 4, Blue 8, Green 2, Yellow 13. In a pie chart, what angle does Blue get?[1]
- 4.In a survey: Red 10, Blue 10, Green 4, Yellow 13. In a pie chart, what angle does Green get?[1]
- 5.In a survey: Red 7, Blue 8, Green 2, Yellow 6. In a pie chart, what angle does Blue get?[2]
- 6.In a survey: Red 7, Blue 15, Green 9, Yellow 12. In a pie chart, what angle does Blue get?[2]
- 7.In a survey: Red 11, Blue 4, Green 5, Yellow 14. In a pie chart, what angle does Yellow get?[2]
- 8.In a survey: Red 9, Blue 14, Green 7, Yellow 9. In a pie chart, what angle does Red get?[2]
- 9.In a survey: Red 5, Blue 11, Green 11, Yellow 6. In a pie chart, what angle does Red get?[3]
- 10.In a survey: Red 12, Blue 10, Green 8, Yellow 8. In a pie chart, what angle does Green get?[3]
- 11.In a survey: Red 6, Blue 14, Green 6, Yellow 15. In a pie chart, what angle does Blue get?[3]
- 12.In a survey: Red 12, Blue 15, Green 4, Yellow 4. In a pie chart, what angle does Blue get?[3]
Show answers and working
1. 102.9°
Total = 28. Blue fraction = 8/28. 8/28 × 360° = 102.9°.
2. 72°
Total = 45. Green fraction = 9/45. 9/45 × 360° = 72°.
3. 106.7°
Total = 27. Blue fraction = 8/27. 8/27 × 360° = 106.7°.
4. 38.9°
Total = 37. Green fraction = 4/37. 4/37 × 360° = 38.9°.
5. 125.2°
Total = 23. Blue fraction = 8/23. 8/23 × 360° = 125.2°.
6. 125.6°
Total = 43. Blue fraction = 15/43. 15/43 × 360° = 125.6°.
7. 148.2°
Total = 34. Yellow fraction = 14/34. 14/34 × 360° = 148.2°.
8. 83.1°
Total = 39. Red fraction = 9/39. 9/39 × 360° = 83.1°.
9. 54.5°
Total = 33. Red fraction = 5/33. 5/33 × 360° = 54.5°.
10. 75.8°
Total = 38. Green fraction = 8/38. 8/38 × 360° = 75.8°.
11. 122.9°
Total = 41. Blue fraction = 14/41. 14/41 × 360° = 122.9°.
12. 154.3°
Total = 35. Blue fraction = 15/35. 15/35 × 360° = 154.3°.
Worked examples
In a survey: Red 4, Blue 9, Green 7, Yellow 6. In a pie chart, what angle does Yellow get?
- Total = 26.
- Yellow fraction = 6/26.
- 6/26 × 360° = 83.1°.
- Answer: 83.1°
In a survey: Red 5, Blue 6, Green 13, Yellow 9. In a pie chart, what angle does Red get?
- Total = 33.
- Red fraction = 5/33.
- 5/33 × 360° = 54.5°.
- Answer: 54.5°
In a survey: Red 9, Blue 14, Green 12, Yellow 2. In a pie chart, what angle does Green get?
- Total = 37.
- Green fraction = 12/37.
- 12/37 × 360° = 116.8°.
- Answer: 116.8°
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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