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Relative frequency – practice for Years 8–9

Sample questions on Relative frequency with the right answer and a worked solution, from easy to hard. In the Pickles Academy app a child gets new questions of the same kind every time, so they can't just learn the answers by heart.

Subject
Maths
Year
Years 8–9
Curriculum area
Relationships, functions and data

Question types: Relative frequency and estimated probability

Rule: Relative frequency

Relative frequency = how often the event happened ÷ how many times the experiment was done.

Over many trials it comes close to the probability, so it is an estimate of it.

Example: 200 rolls, 34 sixes: 34 ÷ 200 = 0.17 = 17%

Watch out: Divide by all the trials, not by the other ones: 34 ÷ 200, not 34 ÷ 166.

Sample questions

  1. Question 1 Easy

    We sowed 200 seeds and 170 of them sprouted. What is the relative frequency of a seed sprouting? Give it as a decimal.

    Show the solution
    Answer: 0.85

    How it works: 170 ÷ 200 = 0.85

  2. Question 2 Normal

    We drew a marble from a bag 50 times, putting it back each time. Results: red 11, blue 12, green 27. What is the relative frequency of blue? Give it as a decimal.

    Show the solution
    Answer: 0.24

    How it works: 12 ÷ 50 = 0.24

  3. Question 3 Hard

    We sowed 50 seeds and 17 of them sprouted. Based on that, how many times can we expect the same result in 1000 tries?

    Show the solution
    Answer: 340

    How it works: 17 ÷ 50 = 0.34; 0.34 × 1000 = 340

Related topics

All Maths topics

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