Free Grade 3 Working with Introducing Sampling Techniques: Visual Models — Recognition Worksheets
Free Grade 3 worksheets for Working with Introducing Sampling Techniques: Visual Models — Recognition: 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
Stretch
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with introducing sampling techniques: visual models — recognition
Explain working with introducing sampling techniques: visual models — recognition accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing sampling techniques: visual models — recognition
Calculate working with introducing sampling techniques: visual models — recognition accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing sampling techniques: visual models — recognition
Compare working with introducing sampling techniques: visual models — recognition accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with introducing sampling techniques: visual models — recognition
Justify working with introducing sampling techniques: visual models — recognition 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 — Recognition 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 13, Green 12, Yellow 2. In a pie chart, what angle does Yellow get?[1]
- 2.In a survey: Red 5, Blue 10, Green 3, Yellow 11. In a pie chart, what angle does Yellow get?[1]
- 3.In a survey: Red 7, Blue 14, Green 14, Yellow 6. In a pie chart, what angle does Blue get?[1]
- 4.In a survey: Red 10, Blue 12, Green 4, Yellow 13. In a pie chart, what angle does Yellow get?[1]
- 5.In a survey: Red 3, Blue 11, Green 8, Yellow 15. In a pie chart, what angle does Blue get?[2]
- 6.In a survey: Red 3, Blue 15, Green 3, Yellow 9. In a pie chart, what angle does Yellow get?[2]
- 7.In a survey: Red 11, Blue 2, Green 11, Yellow 13. In a pie chart, what angle does Green get?[2]
- 8.In a survey: Red 14, Blue 8, Green 12, Yellow 8. In a pie chart, what angle does Yellow get?[2]
- 9.In a survey: Red 14, Blue 13, Green 2, Yellow 5. In a pie chart, what angle does Blue get?[3]
- 10.In a survey: Red 11, Blue 14, Green 5, Yellow 12. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 11, Blue 8, Green 9, Yellow 14. In a pie chart, what angle does Yellow get?[3]
- 12.In a survey: Red 11, Blue 2, Green 15, Yellow 5. In a pie chart, what angle does Blue get?[3]
Show answers and working
1. 17.1°
Total = 42. Yellow fraction = 2/42. 2/42 × 360° = 17.1°.
2. 136.6°
Total = 29. Yellow fraction = 11/29. 11/29 × 360° = 136.6°.
3. 122.9°
Total = 41. Blue fraction = 14/41. 14/41 × 360° = 122.9°.
4. 120°
Total = 39. Yellow fraction = 13/39. 13/39 × 360° = 120°.
5. 107°
Total = 37. Blue fraction = 11/37. 11/37 × 360° = 107°.
6. 108°
Total = 30. Yellow fraction = 9/30. 9/30 × 360° = 108°.
7. 107°
Total = 37. Green fraction = 11/37. 11/37 × 360° = 107°.
8. 68.6°
Total = 42. Yellow fraction = 8/42. 8/42 × 360° = 68.6°.
9. 137.6°
Total = 34. Blue fraction = 13/34. 13/34 × 360° = 137.6°.
10. 120°
Total = 42. Blue fraction = 14/42. 14/42 × 360° = 120°.
11. 120°
Total = 42. Yellow fraction = 14/42. 14/42 × 360° = 120°.
12. 21.8°
Total = 33. Blue fraction = 2/33. 2/33 × 360° = 21.8°.
Worked examples
In a survey: Red 5, Blue 8, Green 7, Yellow 4. In a pie chart, what angle does Red get?
- Total = 24.
- Red fraction = 5/24.
- 5/24 × 360° = 75°.
- Answer: 75°
In a survey: Red 12, Blue 15, Green 2, Yellow 8. In a pie chart, what angle does Green get?
- Total = 37.
- Green fraction = 2/37.
- 2/37 × 360° = 19.5°.
- Answer: 19.5°
In a survey: Red 12, Blue 12, Green 11, Yellow 7. In a pie chart, what angle does Red get?
- Total = 42.
- Red fraction = 12/42.
- 12/42 × 360° = 102.9°.
- Answer: 102.9°
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
How mastery is evidenced, and which standards it maps to.
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- Start with Working with Introducing Sampling Techniques: Worked Examples. Each one has its own free lesson, worksheet and quiz.
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