Do I need an account to practise Relative Frequency?

No. You can start practising Relative Frequency straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.

Expected and relative frequency

Relative Frequency

Q: What are the common mistakes in Relative Frequency?

Gives the reciprocal of the correct probability/fraction Uses an incorrect total as the denominator for a probability or fraction Treats a small sample as equally reliable as a larger one

59 self-marking GCSE and IGCSE practice questions on Relative Frequency, written specifically for AQA, Pearson, OCR, Pearson International GCSE Maths A (4MA1), Cambridge IGCSE Mathematics (0580), Cambridge IGCSE (9-1) Mathematics (0980) across Foundation and Higher and Core and Extended tier. Instant marking with full worked solutions on every question.

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Sample Relative Frequency questions

A few of the 59 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.

Question 11 markGrade 3-4
Priya wants to estimate the probability that the spinner lands on red. Priya carries out two experiments: - Experiment A: spins the spinner 11 times. - Experiment B: spins the spinner 91 times. One of the two experiments gives a more reliable estimate of the probability that the spinner lands on red. Write down the number of spins used in the more reliable experiment.
Show the worked solution
As the number of trials increases, the relative frequency gets closer to (converges towards) the theoretical probability, so a larger sample size gives a more reliable estimate.
Experiment A has 11 spins and Experiment B has 91 spins, so the more reliable experiment is the one with 91 spins.
Question 22 marksGrade 3
A five-sided biased spinner is spun 100 times. The table shows the results. (a) Write down the estimate for the probability of landing on red. (b) Explain why the estimate for the probability of landing on yellow (based on this data) cannot be the actual probability.

What are the common mistakes in Relative Frequency?

When a pupil makes one of these on Revision Workshop, the marking engine names the mistake and explains it, instead of just marking the answer wrong.

Gives the reciprocal of the correct probability/fraction
Inverted the fraction: wrote total/frequency instead of frequency/total
Uses an incorrect total as the denominator for a probability or fraction
Used the number of times the outcome did NOT occur (26) as the denominator instead of the total number of trials (27)
Treats a small sample as equally reliable as a larger one
Chose the experiment with fewer components (27), not recognising that reliability increases with sample size

Quick answers about Relative Frequency

How many Relative Frequency practice questions are there?: There are 59 self-marking GCSE and IGCSE Maths questions on Relative Frequency, written for AQA, Pearson, OCR, Pearson International GCSE Maths A (4MA1), Cambridge IGCSE Mathematics (0580), Cambridge IGCSE (9-1) Mathematics (0980) across Foundation and Higher and Core and Extended tier. Each one is marked instantly and has a full worked solution.
Do I need an account to practise Relative Frequency?: No. You can start practising Relative Frequency straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.