Calculating Angles: Fluency & Practice

Mathematics
GCSE Higher
11 questions
~22 mins
1 views0 downloads

About This Worksheet

A worksheet focused on calculating angles within pie charts, designed to develop procedural fluency and problem-solving skills for GCSE Higher students.

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Full preview • 11 questions

Calculating Angles: Fluency & Practice

Subject: MathematicsGrade: GCSE Higher
Name:
Date:
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Untitled Worksheet

Grade GCSE Higher
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the angle in degrees for a sector representing 25% of a pie chart.
[2 marks]
2.
A pie chart shows that 40% of respondents prefer cats. Find the angle of the sector representing this preference.
[2 marks]
3.
The sector for a particular category measures 72 degrees. What percentage does this category represent?
[3 marks]
4.
A pie chart has sectors of 60°, 90°, and 120°. What percentage of the chart does the 90° sector represent?
[2 marks]
5.
In a pie chart, the sector for a category measures 81°. What percentage of the total does this sector represent?
[3 marks]
6.
A sector measures 54 degrees. If this sector represents 15% of the data, verify whether the angle is correctly calculated.
[4 marks]
7.
Construct a sector that represents 10% of a pie chart. What is the angle of this sector?
[2 marks]
8.
A pie chart shows that 35% of students prefer sports A and 45% prefer sports B. Calculate the angles for both sectors.
[4 marks]
9.
A sector measures 108°. What percentage of the total data does it represent? Show your working.
[3 marks]
10.
A student calculates that a sector is 50%. What is the measure of the angle in degrees? Identify and correct any common mistake if the calculation is incorrect.
[4 marks]
11.
A pie chart has a sector that measures 72°. If this sector accounts for 20%, is the total of all percentages consistent? Show your reasoning.
[4 marks]

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet