Free Grade 3 Working with Introducing Sampling Techniques: Visual Models — Application Quizzes
Free Grade 3 quizzes for Working with Introducing Sampling Techniques: Visual Models — Application: 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
Core
30 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 — application
Identify working with introducing sampling techniques: visual models — application accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with introducing sampling techniques: visual models — application
Explain working with introducing sampling techniques: visual models — application accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing sampling techniques: visual models — application
Calculate working with introducing sampling techniques: visual models — application accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing sampling techniques: visual models — application
Compare working with introducing sampling techniques: visual models — application 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 — Application 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 11, Blue 11, Green 3, Yellow 2. In a pie chart, what angle does Blue get?[1]
- 2.In a survey: Red 12, Blue 4, Green 4, Yellow 11. In a pie chart, what angle does Yellow get?[1]
- 3.In a survey: Red 14, Blue 3, Green 6, Yellow 3. In a pie chart, what angle does Blue get?[1]
- 4.In a survey: Red 3, Blue 9, Green 6, Yellow 12. In a pie chart, what angle does Yellow get?[1]
- 5.In a survey: Red 7, Blue 3, Green 8, Yellow 10. In a pie chart, what angle does Red get?[2]
- 6.In a survey: Red 11, Blue 15, Green 6, Yellow 9. In a pie chart, what angle does Blue get?[2]
- 7.In a survey: Red 13, Blue 14, Green 15, Yellow 3. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 13, Blue 2, Green 12, Yellow 12. In a pie chart, what angle does Green get?[2]
- 9.In a survey: Red 14, Blue 2, Green 4, Yellow 9. In a pie chart, what angle does Yellow get?[3]
- 10.In a survey: Red 8, Blue 5, Green 9, Yellow 10. In a pie chart, what angle does Red get?[3]
- 11.In a survey: Red 5, Blue 8, Green 4, Yellow 5. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 11, Blue 9, Green 7, Yellow 9. In a pie chart, what angle does Red get?[3]
Show answers and working
1. 146.7°
Total = 27. Blue fraction = 11/27. 11/27 × 360° = 146.7°.
2. 127.7°
Total = 31. Yellow fraction = 11/31. 11/31 × 360° = 127.7°.
3. 41.5°
Total = 26. Blue fraction = 3/26. 3/26 × 360° = 41.5°.
4. 144°
Total = 30. Yellow fraction = 12/30. 12/30 × 360° = 144°.
5. 90°
Total = 28. Red fraction = 7/28. 7/28 × 360° = 90°.
6. 131.7°
Total = 41. Blue fraction = 15/41. 15/41 × 360° = 131.7°.
7. 112°
Total = 45. Blue fraction = 14/45. 14/45 × 360° = 112°.
8. 110.8°
Total = 39. Green fraction = 12/39. 12/39 × 360° = 110.8°.
9. 111.7°
Total = 29. Yellow fraction = 9/29. 9/29 × 360° = 111.7°.
10. 90°
Total = 32. Red fraction = 8/32. 8/32 × 360° = 90°.
11. 65.5°
Total = 22. Green fraction = 4/22. 4/22 × 360° = 65.5°.
12. 110°
Total = 36. Red fraction = 11/36. 11/36 × 360° = 110°.
Worked examples
In a survey: Red 4, Blue 4, Green 13, Yellow 13. In a pie chart, what angle does Blue get?
- Total = 34.
- Blue fraction = 4/34.
- 4/34 × 360° = 42.4°.
- Answer: 42.4°
In a survey: Red 15, Blue 11, Green 10, Yellow 9. In a pie chart, what angle does Blue get?
- Total = 45.
- Blue fraction = 11/45.
- 11/45 × 360° = 88°.
- Answer: 88°
In a survey: Red 2, Blue 14, Green 3, Yellow 4. In a pie chart, what angle does Blue get?
- Total = 23.
- Blue fraction = 14/23.
- 14/23 × 360° = 219.1°.
- Answer: 219.1°
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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- Start with Working with Introducing Sampling Techniques: Visual Models — Understanding, Working with Introducing Sampling Techniques: Visual Models — Recognition, Working with Introducing Sampling Techniques: Worked Examples. Each one has its own free lesson, worksheet and quiz.
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