Relative Frequency: Fluency & Practice

Mathematics
GCSE Foundation
13 questions
~26 mins
1 views0 downloads

About This Worksheet

A worksheet focused on developing procedural mastery of calculating and understanding relative frequency, with real-world and reasoning questions for GCSE Foundation students.

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Relative Frequency: Fluency & Practice

Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet

Grade GCSE Foundation
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
A survey of 120 students found that 45 students prefer coffee over tea. Calculate the relative frequency of students who prefer coffee.
[2 marks]
2.
In a class of 30 students, 12 students scored above 80 on a test. What is the relative frequency of students scoring above 80?
[2 marks]
3.
A bag contains 50 marbles: 20 red, 15 blue, and 15 green. If a marble is drawn at random, what is the relative frequency of drawing a blue marble?
[2 marks]
4.
A coin is flipped 100 times and lands on heads 55 times. Calculate the experimental relative frequency of getting heads.
[3 marks]
5.
A die is rolled 60 times, and the number 4 appears 8 times. Find the relative frequency of rolling a 4.
[3 marks]
6.
In a survey, 200 people were asked about their preferred mode of transport. 80 preferred cycling. What is the approximate relative frequency of people who prefer cycling?
[2 marks]
7.
A research experiment records 150 trials, with 45 successful outcomes. Calculate the relative frequency of success.
[3 marks]
8.
A sample of 250 plants shows that 125 are flowering. What is the relative frequency of flowering plants in the sample?
[2 marks]
9.
Construct a bar graph on the grid to represent the relative frequencies of different fruit preferences: Apples (40%), Bananas (25%), Oranges (35%).
[4 marks]
10.
A student observes 60 cars passing a junction in the morning. 15 are blue, 30 are red, and the rest are other colors. Calculate the relative frequency of the other-colored cars.
[3 marks]
11.
A survey shows that 70 out of 200 people prefer tea over coffee. What is the relative frequency of people who prefer tea?
[2 marks]
12.
A student calculates the relative frequency of rainy days in a month to be 0.65. If there were 31 days in the month, estimate how many days were rainy.
[3 marks]
13.
Identify and correct the mistake: A survey reports 80% of respondents preferred online shopping, but the combined relative frequencies of all options sum to more than 1.
[4 marks]

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Details

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