Calculating Angles: Challenge & Extension
Mathematics
Grade 6
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet focused on calculating angles in pie charts, including practice, reasoning, and extension questions to enhance understanding of angle calculations for Grade 6 students.
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Calculating Angles: Challenge & Extension
Subject: MathematicsGrade: Grade 6
Name:
Date:
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Untitled Worksheet
Grade Grade 6
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the angle of the sector representing 25% of the pie chart.
[2 marks]2.
A pie chart shows that 40% of students prefer chocolate. What is the angle of this sector?
[2 marks]3.
If a sector angle is 72°, what percentage of the data does it represent?
[2 marks]4.
Construct a sector in your grid that represents 15% of the pie chart. What is the angle you should draw?
[3 marks]5.
A pie chart shows that 10% of the data falls into category A. What is the sector angle?
[2 marks]6.
In a pie chart, the sector for category B is 60°. What percentage does this sector represent?
[2 marks]7.
A sector angle is 135°. Calculate the percentage it represents.
[2 marks]8.
If the sector for category C is 72°, and the total data represents 120 students, how many students prefer category C?
[3 marks]9.
A pie chart has a sector that is twice as large as another sector. If the smaller sector is 30°, what is the larger sector's angle?
[3 marks]10.
Identify and correct the mistake: A student calculated that a 25% sector should be 72°, but it should be 90°. What mistake did the student make?
[3 marks]11.
For a pie chart where the sector for category D is 135°, what percentage of the total data does it represent? Show your working.
[3 marks]12.
Challenge: A pie chart's sector for category E is 45°. If the total number of responses is 200, how many responses are in category E?
[4 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet