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A second set of relative frequency questions for GCSE Maths. They are different from the ones on the topic page, so work through both. Try each question, then open the answer to check your working.
A counter is picked 25 times and is red 10 times. What is the relative frequency of red as a percentage?
Answer: 40%
How can you make an estimate of a probability from an experiment more reliable?
Answer: use more trials
A dice is rolled 120 times and shows a four 30 times. Write the relative frequency of a four as a decimal.
Answer: 0.25
A bag has only red and blue counters. In 60 picks, red was picked 45 times. Estimate the probability of picking blue.
Answer: 0.25
The relative frequency table of a spinner shows 0.15, 0.4 and 0.25 and one value missing. The spinner is spun 200 times. How many times is the missing outcome expected?
Answer: 40
In 400 trials, an outcome has a relative frequency of 0.35. How many times did the outcome happen?
Answer: 140
A longer question with marks, in the style of a written paper. This is a Yumio practice question, not a past paper question.
A dice is rolled 240 times and shows a five 60 times. Is the dice likely to be fair? Give a reason.
Answer: probably biased
Short one-step questions. Pick an option before you open the answer.
What is the formula for relative frequency?
Relative frequency = frequency of the outcome divided by the total number of trials. Relative frequency = frequency of the outcome divided by the total number of trials.
What do you divide by when you work out a relative frequency?
The total number of trials, which is the total of the frequency column. The total number of trials, which is the total of the frequency column.
What does a relative frequency estimate?
The probability of the outcome. The probability of the outcome.
How do you make an estimate of a probability more reliable?
Use more trials. Use more trials.
What do all the relative frequencies of one experiment add up to?
They add up to 1. They add up to 1.
How do you find a missing relative frequency?
Take the sum of the known ones away from 1. Take the sum of the known ones away from 1.
What is the expected number of an outcome?
Probability x number of trials. Probability x number of trials.
Is an expected number exactly what happens?
No. It is a prediction, and the real number can be a little more or less. No. It is a prediction, and the real number can be a little more or less.
What can a relative frequency be written as?
A fraction, a decimal or a percentage. A fraction, a decimal or a percentage.
Can a relative frequency be bigger than 1?
No. The outcome cannot happen more often than the number of trials. No. The outcome cannot happen more often than the number of trials.
How do you test whether a dice is fair?
Compare the relative frequency of each face with 1/6, taking the number of rolls into account. Compare the relative frequency of each face with 1/6, taking the number of rolls into account.
Why is 7 heads in 10 flips not proof of a biased coin?
Ten flips is too few. A fair coin can easily give that by chance. Ten flips is too few. A fair coin can easily give that by chance.
What is a trial?
One go of an experiment, such as one roll of a dice. One go of an experiment, such as one roll of a dice.
What is a biased dice?
A dice that is not fair, so some faces are more likely than others. A dice that is not fair, so some faces are more likely than others.
A fair dice is rolled 300 times. How many sixes do you expect?
300 x 1/6 = 50. 300 x 1/6 = 50.
How do you find the frequency from a relative frequency?
Multiply the relative frequency by the number of trials. Multiply the relative frequency by the number of trials.
AQA-style and Edexcel-style questions. Yumio is not affiliated with, endorsed by or connected to AQA, Pearson Edexcel or any other exam board.