Free Grade 3 Working with Introducing Sampling Techniques: Visual Models — Recognition Quizzes
Free Grade 3 quizzes 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
Foundation
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 12, Blue 13, Green 5, Yellow 10. In a pie chart, what angle does Blue get?[1]
- 2.In a survey: Red 4, Blue 14, Green 4, Yellow 12. In a pie chart, what angle does Blue get?[1]
- 3.In a survey: Red 10, Blue 10, Green 14, Yellow 15. In a pie chart, what angle does Green get?[1]
- 4.In a survey: Red 6, Blue 5, Green 8, Yellow 14. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 15, Blue 4, Green 15, Yellow 9. In a pie chart, what angle does Blue get?[2]
- 6.In a survey: Red 13, Blue 5, Green 2, Yellow 3. In a pie chart, what angle does Yellow get?[2]
- 7.In a survey: Red 11, Blue 6, Green 12, Yellow 14. In a pie chart, what angle does Red get?[2]
- 8.In a survey: Red 15, Blue 7, Green 2, Yellow 8. In a pie chart, what angle does Green get?[2]
- 9.In a survey: Red 8, Blue 14, Green 15, Yellow 12. In a pie chart, what angle does Blue get?[3]
- 10.In a survey: Red 15, Blue 9, Green 4, Yellow 6. In a pie chart, what angle does Red get?[3]
- 11.In a survey: Red 15, Blue 3, Green 10, Yellow 2. In a pie chart, what angle does Yellow get?[3]
- 12.In a survey: Red 14, Blue 10, Green 10, Yellow 13. In a pie chart, what angle does Green get?[3]
Show answers and working
1. 117°
Total = 40. Blue fraction = 13/40. 13/40 × 360° = 117°.
2. 148.2°
Total = 34. Blue fraction = 14/34. 14/34 × 360° = 148.2°.
3. 102.9°
Total = 49. Green fraction = 14/49. 14/49 × 360° = 102.9°.
4. 54.5°
Total = 33. Blue fraction = 5/33. 5/33 × 360° = 54.5°.
5. 33.5°
Total = 43. Blue fraction = 4/43. 4/43 × 360° = 33.5°.
6. 47°
Total = 23. Yellow fraction = 3/23. 3/23 × 360° = 47°.
7. 92.1°
Total = 43. Red fraction = 11/43. 11/43 × 360° = 92.1°.
8. 22.5°
Total = 32. Green fraction = 2/32. 2/32 × 360° = 22.5°.
9. 102.9°
Total = 49. Blue fraction = 14/49. 14/49 × 360° = 102.9°.
10. 158.8°
Total = 34. Red fraction = 15/34. 15/34 × 360° = 158.8°.
11. 24°
Total = 30. Yellow fraction = 2/30. 2/30 × 360° = 24°.
12. 76.6°
Total = 47. Green fraction = 10/47. 10/47 × 360° = 76.6°.
Worked examples
In a survey: Red 13, Blue 9, Green 7, Yellow 13. In a pie chart, what angle does Blue get?
- Total = 42.
- Blue fraction = 9/42.
- 9/42 × 360° = 77.1°.
- Answer: 77.1°
In a survey: Red 2, Blue 6, Green 9, Yellow 9. In a pie chart, what angle does Green get?
- Total = 26.
- Green fraction = 9/26.
- 9/26 × 360° = 124.6°.
- Answer: 124.6°
In a survey: Red 14, Blue 2, Green 9, Yellow 2. In a pie chart, what angle does Yellow get?
- Total = 27.
- Yellow fraction = 2/27.
- 2/27 × 360° = 26.7°.
- Answer: 26.7°
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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- What should a learner already know before this?
- Start with Working with Introducing Sampling Techniques: Worked Examples. Each one has its own free lesson, worksheet and quiz.
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