Free Grade 3 Working with Introducing Sampling Techniques: Visual Models — Understanding Worksheets
Free Grade 3 worksheets 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°.
Free
Higher
20 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 4, Blue 2, Green 10, Yellow 14. In a pie chart, what angle does Red get?[1]
- 2.In a survey: Red 9, Blue 8, Green 7, Yellow 10. In a pie chart, what angle does Red get?[1]
- 3.In a survey: Red 10, Blue 9, Green 13, Yellow 12. In a pie chart, what angle does Green get?[1]
- 4.In a survey: Red 14, Blue 2, Green 13, Yellow 13. In a pie chart, what angle does Yellow get?[1]
- 5.In a survey: Red 12, Blue 5, Green 7, Yellow 3. In a pie chart, what angle does Blue get?[2]
- 6.In a survey: Red 8, Blue 5, Green 9, Yellow 8. In a pie chart, what angle does Green get?[2]
- 7.In a survey: Red 15, Blue 9, Green 4, Yellow 14. In a pie chart, what angle does Yellow get?[2]
- 8.In a survey: Red 4, Blue 8, Green 11, Yellow 8. In a pie chart, what angle does Yellow get?[2]
- 9.In a survey: Red 10, Blue 11, Green 3, Yellow 13. In a pie chart, what angle does Yellow get?[3]
- 10.In a survey: Red 3, Blue 14, Green 11, Yellow 11. In a pie chart, what angle does Red get?[3]
- 11.In a survey: Red 8, Blue 5, Green 10, Yellow 9. In a pie chart, what angle does Yellow get?[3]
- 12.In a survey: Red 15, Blue 2, Green 2, Yellow 13. In a pie chart, what angle does Green get?[3]
Show answers and working
1. 48°
Total = 30. Red fraction = 4/30. 4/30 × 360° = 48°.
2. 95.3°
Total = 34. Red fraction = 9/34. 9/34 × 360° = 95.3°.
3. 106.4°
Total = 44. Green fraction = 13/44. 13/44 × 360° = 106.4°.
4. 111.4°
Total = 42. Yellow fraction = 13/42. 13/42 × 360° = 111.4°.
5. 66.7°
Total = 27. Blue fraction = 5/27. 5/27 × 360° = 66.7°.
6. 108°
Total = 30. Green fraction = 9/30. 9/30 × 360° = 108°.
7. 120°
Total = 42. Yellow fraction = 14/42. 14/42 × 360° = 120°.
8. 92.9°
Total = 31. Yellow fraction = 8/31. 8/31 × 360° = 92.9°.
9. 126.5°
Total = 37. Yellow fraction = 13/37. 13/37 × 360° = 126.5°.
10. 27.7°
Total = 39. Red fraction = 3/39. 3/39 × 360° = 27.7°.
11. 101.3°
Total = 32. Yellow fraction = 9/32. 9/32 × 360° = 101.3°.
12. 22.5°
Total = 32. Green fraction = 2/32. 2/32 × 360° = 22.5°.
Worked examples
In a survey: Red 15, Blue 15, Green 8, Yellow 14. In a pie chart, what angle does Red get?
- Total = 52.
- Red fraction = 15/52.
- 15/52 × 360° = 103.8°.
- Answer: 103.8°
In a survey: Red 7, Blue 7, Green 8, Yellow 6. In a pie chart, what angle does Red get?
- Total = 28.
- Red fraction = 7/28.
- 7/28 × 360° = 90°.
- Answer: 90°
In a survey: Red 2, Blue 12, Green 9, Yellow 13. In a pie chart, what angle does Yellow get?
- Total = 36.
- Yellow fraction = 13/36.
- 13/36 × 360° = 130°.
- Answer: 130°
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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