Free Grade 3 Working with Introducing Sampling Essentials: Visual Models — Understanding Worksheets
Free Grade 3 worksheets for Working with Introducing Sampling Essentials: 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 essentials: visual models — understanding
Identify working with introducing sampling essentials: visual models — understanding accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with introducing sampling essentials: visual models — understanding
Explain working with introducing sampling essentials: visual models — understanding accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing sampling essentials: visual models — understanding
Calculate working with introducing sampling essentials: visual models — understanding accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing sampling essentials: visual models — understanding
Compare working with introducing sampling essentials: 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 Essentials: 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 9, Blue 9, Green 14, Yellow 2. In a pie chart, what angle does Blue get?[1]
- 2.In a survey: Red 9, Blue 13, Green 13, Yellow 10. In a pie chart, what angle does Red get?[1]
- 3.In a survey: Red 10, Blue 15, Green 6, Yellow 8. In a pie chart, what angle does Red get?[1]
- 4.In a survey: Red 2, Blue 7, Green 15, Yellow 14. In a pie chart, what angle does Yellow get?[1]
- 5.In a survey: Red 10, Blue 8, Green 5, Yellow 14. In a pie chart, what angle does Red get?[2]
- 6.In a survey: Red 15, Blue 4, Green 5, Yellow 6. In a pie chart, what angle does Blue get?[2]
- 7.In a survey: Red 3, Blue 11, Green 14, Yellow 7. In a pie chart, what angle does Yellow get?[2]
- 8.In a survey: Red 5, Blue 13, Green 4, Yellow 9. In a pie chart, what angle does Yellow get?[2]
- 9.In a survey: Red 15, Blue 15, Green 12, Yellow 14. In a pie chart, what angle does Green get?[3]
- 10.In a survey: Red 12, Blue 9, Green 9, Yellow 6. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 13, Blue 14, Green 12, Yellow 11. In a pie chart, what angle does Yellow get?[3]
- 12.In a survey: Red 2, Blue 7, Green 14, Yellow 13. In a pie chart, what angle does Blue get?[3]
Show answers and working
1. 95.3°
Total = 34. Blue fraction = 9/34. 9/34 × 360° = 95.3°.
2. 72°
Total = 45. Red fraction = 9/45. 9/45 × 360° = 72°.
3. 92.3°
Total = 39. Red fraction = 10/39. 10/39 × 360° = 92.3°.
4. 132.6°
Total = 38. Yellow fraction = 14/38. 14/38 × 360° = 132.6°.
5. 97.3°
Total = 37. Red fraction = 10/37. 10/37 × 360° = 97.3°.
6. 48°
Total = 30. Blue fraction = 4/30. 4/30 × 360° = 48°.
7. 72°
Total = 35. Yellow fraction = 7/35. 7/35 × 360° = 72°.
8. 104.5°
Total = 31. Yellow fraction = 9/31. 9/31 × 360° = 104.5°.
9. 77.1°
Total = 56. Green fraction = 12/56. 12/56 × 360° = 77.1°.
10. 90°
Total = 36. Blue fraction = 9/36. 9/36 × 360° = 90°.
11. 79.2°
Total = 50. Yellow fraction = 11/50. 11/50 × 360° = 79.2°.
12. 70°
Total = 36. Blue fraction = 7/36. 7/36 × 360° = 70°.
Worked examples
In a survey: Red 2, Blue 9, Green 4, Yellow 10. In a pie chart, what angle does Blue get?
- Total = 25.
- Blue fraction = 9/25.
- 9/25 × 360° = 129.6°.
- Answer: 129.6°
In a survey: Red 3, Blue 5, Green 6, Yellow 4. In a pie chart, what angle does Yellow get?
- Total = 18.
- Yellow fraction = 4/18.
- 4/18 × 360° = 80°.
- Answer: 80°
In a survey: Red 11, Blue 10, Green 14, Yellow 5. In a pie chart, what angle does Blue get?
- Total = 40.
- Blue fraction = 10/40.
- 10/40 × 360° = 90°.
- Answer: 90°
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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