Free Grade 3 Introducing Histograms Essentials Lessons
Free Grade 3 lessons for Introducing Histograms Essentials: 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
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain introducing histograms essentials
Explain introducing histograms essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing histograms essentials
Calculate introducing histograms essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing histograms essentials
Compare introducing histograms essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introducing histograms essentials
Justify introducing histograms essentials 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 Introducing Histograms Essentials 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 3, Blue 15, Green 11, Yellow 10. In a pie chart, what angle does Blue get?[1]
- 2.In a survey: Red 12, Blue 5, Green 13, Yellow 14. In a pie chart, what angle does Yellow get?[1]
- 3.In a survey: Red 8, Blue 7, Green 7, Yellow 11. In a pie chart, what angle does Green get?[1]
- 4.In a survey: Red 7, Blue 12, Green 8, Yellow 12. In a pie chart, what angle does Green get?[1]
- 5.In a survey: Red 10, Blue 12, Green 10, Yellow 13. In a pie chart, what angle does Yellow get?[2]
- 6.In a survey: Red 3, Blue 7, Green 2, Yellow 2. In a pie chart, what angle does Red get?[2]
- 7.In a survey: Red 4, Blue 13, Green 7, Yellow 11. In a pie chart, what angle does Yellow get?[2]
- 8.In a survey: Red 8, Blue 3, Green 9, Yellow 10. In a pie chart, what angle does Blue get?[2]
- 9.In a survey: Red 7, Blue 8, Green 4, Yellow 4. In a pie chart, what angle does Yellow get?[3]
- 10.In a survey: Red 12, Blue 7, Green 9, Yellow 11. In a pie chart, what angle does Red get?[3]
- 11.In a survey: Red 3, Blue 15, Green 8, Yellow 6. In a pie chart, what angle does Blue get?[3]
- 12.In a survey: Red 5, Blue 11, Green 10, Yellow 6. In a pie chart, what angle does Blue get?[3]
Show answers and working
1. 138.5°
Total = 39. Blue fraction = 15/39. 15/39 × 360° = 138.5°.
2. 114.5°
Total = 44. Yellow fraction = 14/44. 14/44 × 360° = 114.5°.
3. 76.4°
Total = 33. Green fraction = 7/33. 7/33 × 360° = 76.4°.
4. 73.8°
Total = 39. Green fraction = 8/39. 8/39 × 360° = 73.8°.
5. 104°
Total = 45. Yellow fraction = 13/45. 13/45 × 360° = 104°.
6. 77.1°
Total = 14. Red fraction = 3/14. 3/14 × 360° = 77.1°.
7. 113.1°
Total = 35. Yellow fraction = 11/35. 11/35 × 360° = 113.1°.
8. 36°
Total = 30. Blue fraction = 3/30. 3/30 × 360° = 36°.
9. 62.6°
Total = 23. Yellow fraction = 4/23. 4/23 × 360° = 62.6°.
10. 110.8°
Total = 39. Red fraction = 12/39. 12/39 × 360° = 110.8°.
11. 168.8°
Total = 32. Blue fraction = 15/32. 15/32 × 360° = 168.8°.
12. 123.8°
Total = 32. Blue fraction = 11/32. 11/32 × 360° = 123.8°.
Worked examples
In a survey: Red 5, Blue 3, Green 12, Yellow 2. In a pie chart, what angle does Blue get?
- Total = 22.
- Blue fraction = 3/22.
- 3/22 × 360° = 49.1°.
- Answer: 49.1°
In a survey: Red 7, Blue 13, Green 3, Yellow 13. In a pie chart, what angle does Yellow get?
- Total = 36.
- Yellow fraction = 13/36.
- 13/36 × 360° = 130°.
- Answer: 130°
In a survey: Red 13, Blue 6, Green 7, Yellow 7. In a pie chart, what angle does Green get?
- Total = 33.
- Green fraction = 7/33.
- 7/33 × 360° = 76.4°.
- Answer: 76.4°
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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Frequently asked
- Is this Grade 3 Introducing Histograms Essentials lesson really free?
- Yes. Every lessons on FreeMathWorksheet is free to use, print and share — no account, no paywall and no watermark.
- What should a learner already know before this?
- Start with Scatter Graphs. Each one has its own free lesson, worksheet and quiz.
- How is the lesson sequenced?
- Recognition first, then understanding, application, reasoning and finally mastery — the same ladder used across every free resource on the platform.
- What comes next after Introducing Histograms Essentials?
- Move on to Introducing Histograms Techniques, Introducing Histograms Word Problems, Introducing Histograms Common Errors, Working with Histograms, which build directly on this idea.
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