Relative Frequency: Problem Solving & Reasoning
Mathematics
GCSE Higher
15 questions
~30 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on understanding and applying the concept of relative frequency in probability experiments, designed for GCSE Higher students.
Worksheet Preview
Full preview • 15 questions
Relative Frequency: Problem Solving & Reasoning
Subject: MathematicsGrade: GCSE Higher
Name:
Date:
TeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizz
Untitled Worksheet
Grade GCSE Higher
A
Introduction to Relative Frequency
Read the key concept below and attempt the questions that follow.
1.
Relative frequency is calculated by dividing the number of times an event occurs by the total number of trials conducted. It provides an estimate of the probability of the event. Use the formula: Relative Frequency = (Number of Occurrences) ÷ (Total Trials).
[2 marks]B
Fluency & Practice
Answer the following questions to practice calculating relative frequencies.
1.
In a survey of 150 students, 45 students preferred chocolate ice cream. What is the relative frequency of students who prefer chocolate?
[3 marks]2.
A bag contains 20 red, 30 blue, and 50 green marbles. If a marble is drawn at random, calculate the relative frequency of drawing a blue marble.
[3 marks]3.
A coin is flipped 200 times, and heads occur 95 times. What is the relative frequency of heads?
[3 marks]4.
Calculate the relative frequency if an experiment results in 12 successes out of 60 trials.
[3 marks]C
Targeted Practice
Tackle these questions to deepen your understanding of relative frequency with more complex data.
1.
A die is rolled 120 times, and the face 4 appears 25 times. Find the relative frequency of rolling a 4.
[3 marks]2.
In an experiment, 80% of 250 trials resulted in success. How many successes were recorded?
[3 marks]3.
A survey recorded 180 people, with 54 preferring tea. What is the relative frequency of tea preference?
[3 marks]4.
If 45 successes are observed in 150 trials, what is the relative frequency? Express as a decimal.
[3 marks]D
Real-world Applications
Apply your knowledge to these real-life scenarios involving relative frequency.
1.
A factory produces 5000 units annually. Last year, 350 units were defective. What is the relative frequency of defective units? How might this estimate influence quality control?
[4 marks]2.
During a wildlife survey, 200 animals were observed, of which 50 were foxes. Calculate the relative frequency of foxes. How could this data inform conservation efforts?
[4 marks]E
Challenge & Extension
Explore these advanced problems to extend your understanding of relative frequency.
1.
An experiment records 75 successes in 300 trials. If the number of successes increased by 20 in a subsequent trial, what is the new relative frequency? Show your working.
[4 marks]2.
A survey of 400 households finds 120 own a pet dog. If the sample size increased to 600 households with 180 owning dogs, compare the relative frequencies and comment on the change.
[4 marks]F
Mixed Review & Error Analysis
Complete these questions to review your understanding and analyze common mistakes.
1.
A student records 18 successes out of 90 trials. What is the relative frequency? A common mistake is to divide by 100 instead of 90. Identify and correct this error.
[4 marks]2.
A sample yields a relative frequency of 0.25 for an event, but the actual number of successes was 25 in 90 trials. Is this calculation correct? Explain your reasoning.
[4 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
- • Change grade level (Grade 6 → Grade 7)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet