Relative Frequency: Challenge & Extension
Mathematics
GCSE Higher
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet exploring the concept of Relative Frequency through a variety of questions, including practice, reasoning, real-world applications, and challenging extension problems.
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Relative Frequency: Challenge & Extension
Subject: MathematicsGrade: GCSE Higher
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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 bag contains 30 red balls and 20 blue balls. If a ball is chosen at random, what is the relative frequency of selecting a red ball based on 50 trials?
[2 marks]2.
In an experiment, out of 120 spins of a wheel, the number of times it lands on green is 30. Calculate the relative frequency of landing on green.
[3 marks]3.
A survey reports that 45 out of 150 students prefer chocolate ice cream. What is the relative frequency of students who prefer chocolate?
[2 marks]4.
Explain why relative frequency is a useful estimate of probability in an experiment.
[3 marks]5.
A die is rolled 60 times, and the number 4 appears 15 times. Calculate the relative frequency of rolling a 4.
[2 marks]6.
A class performs 80 trials of a coin toss experiment. Heads occur 45 times. What is the relative frequency of getting heads?
[2 marks]7.
A spinner has 5 equal sections numbered 1 to 5. After 100 spins, the number 3 appears 22 times. What is the relative frequency of landing on 3?
[2 marks]8.
A survey shows that 75 out of 200 sampled cars are blue. If the sample size increases to 400, how many cars would you expect to be blue assuming the same proportion?
[3 marks]9.
In an experiment, the relative frequency of an event is calculated as 0.45. If the total number of trials is 180, how many times did the event occur?
[3 marks]10.
A factory tests 200 items and finds 10 defective items. What is the relative frequency of defective items? If the factory produces 10,000 items, estimate how many might be defective.
[4 marks]11.
Identify and correct the mistake in the following statement: 'If an event has a relative frequency of 0.8 based on 50 trials, then the event occurred 40 times.'
[4 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet