Finding Frequencies: Problem Solving & Reasoning

Mathematics
GCSE Higher
11 questions
~22 mins
1 views0 downloads

About This Worksheet

A worksheet focusing on calculating and interpreting frequencies from pie charts, designed to develop problem-solving and reasoning skills for GCSE Higher students.

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Finding Frequencies: Problem Solving & Reasoning

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.
A pie chart shows that 30% of students in a school prefer basketball. If there are 240 students in total, calculate the number of students who prefer basketball.
[3 marks]
2.
A pie chart indicates that the angle representing the number of people who like tea is 45°. If the total frequency is 120, find the number of people who like tea.
[3 marks]
3.
A pie chart shows that 25% of survey respondents prefer cycling. If 80 people responded, how many prefer cycling?
[3 marks]
4.
Construct a pie chart segment for a category that accounts for 15% of the total, with a total frequency of 200.
[4 marks]
5.
A pie chart has an angle of 90° for category A. If the total frequency is 360, what is the frequency for category A?
[3 marks]
6.
A pie chart shows that 45% of a group prefer online shopping. The total number of people surveyed is 250. Find the number of people who prefer online shopping.
[3 marks]
7.
A pie chart's sector for oranges covers an angle of 60°. If the total frequency is 180, what is the frequency for oranges?
[3 marks]
8.
In a pie chart, the sector for apples is 72°. The total frequency is 250. Find the frequency of apples.
[3 marks]
9.
A pie chart shows that 20% of students prefer playing football. If the total number of students is 150, how many students prefer football?
[3 marks]
10.
A pie chart indicates that the angle for category B is 54°. The total frequency is 200. Calculate the frequency for category B.
[3 marks]
11.
Identify and correct the mistake in this statement: 'If the sector of a category covers 90°, then the frequency is 90 regardless of total frequency.'
[4 marks]

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Details

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