Lesson P1

P1 Frequency of outcomes: tables and frequency trees Quiz: AQA Maths, Unit 5

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson P1, Frequency of outcomes: tables and frequency trees: 20 multiple choice questions for the AQA GCSE Maths (8300), Unit 5: Probability, written with Revision Ninja.

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The 20 questions

  1. In a frequency tree, what do the branches show?

    • The mean and median for each group of the experiment data
    • The number of trials carried out in total at each stage
    • The median of the whole data set for the first outcome only
    • The frequencies or proportions for each outcome of a stage

  2. A coin is tossed 40 times and lands on heads 22 times. What is the relative frequency of heads?

    • 0.45
    • 0.55
    • 1.8
    • 0.22

  3. Which of these is a valid relative frequency after 20 trials?

    • -3/20
    • 27/20
    • 21/20 with no units
    • 7/20

  4. In a frequency tree, the second-stage frequencies from one first-stage branch add up to what?

    • The difference between the two first-stage frequencies
    • The frequency of that first-stage branch
    • Always 100 per cent of the whole tree's total
    • The total number of trials in the whole experiment

  5. What is the main benefit of recording outcomes in a table during an experiment?

    • It lets relative frequencies be compared across trials
    • It removes all the randomness from each individual trial
    • It replaces the need for further trials once a table is filled
    • It always gives the theoretical probability for each outcome

  6. How is the relative frequency of an outcome calculated?

    • Frequency divided by one more than the total
    • Frequency of the outcome divided by total number of trials
    • Total number of trials divided by frequency
    • Outcome multiplied by the total number of trials

  7. What do the relative frequencies of all outcomes of one experiment add up to?

    • 100
    • 1
    • 0
    • the number of trials

  8. A fair dice is rolled 60 times and shows a 6 on 9 of the rolls. Which is the relative frequency of a 6?

    • 2/3
    • 1/6
    • 3/20
    • 9/51

  9. In an experiment with 50 spins, red appears 18 times, blue 20 times and green 12 times. What is the relative frequency of green?

    • 0.24
    • 0.12
    • 0.6
    • 0.4

  10. A frequency tree shows 30 of 80 students wear glasses and 12 of those 30 are girls. What fraction of all 80 students are girls who wear glasses?

    • 12/50
    • 12/80
    • 30/80
    • 12/30

  11. In 200 trials, an outcome occurs 52 times. What is its relative frequency as a percentage?

    • 5.2%
    • 74%
    • 26%
    • 52%

  12. A bag has four colours. Three have relative frequencies 0.3, 0.25 and 0.2. What is the relative frequency of the fourth colour?

    • 0.5
    • 0.25
    • 0.45
    • 0.75

  13. In 150 trials, an event happens 45 times. Which is its relative frequency?

    • 3/10
    • 1/3
    • 4/15
    • 2/5

  14. In a survey of 100 people, 60 chose tea and 25 of them took sugar. What is the relative frequency of tea with sugar as a decimal?

    • 0.42
    • 0.15
    • 0.25
    • 0.6

  15. A coin is tossed 500 times and lands on heads 240 times. What is the relative frequency of tails as a percentage?

    • 260%
    • 48%
    • 24%
    • 52%

  16. A dice is rolled 120 times and an even number appears 70 times. What is the relative frequency of odd numbers?

    • 5/12
    • 50/70
    • 7/12
    • 7/120

  17. In 90 spins, the relative frequency of red is 0.4. How many times did red come up?

    • 40
    • 22
    • 36
    • 45

  18. An outcome has relative frequency 0.35 after 60 trials. How many times did it occur?

    • 17
    • 24
    • 21
    • 18

  19. A frequency tree has 140 people, 56 in group A, and 14 of group A answer yes. What is the relative frequency of group A and yes, out of all 140?

    • 0.4
    • 0.14
    • 0.25
    • 0.1

  20. Which statement about frequency trees is correct?

    • Frequencies should be read from the top only
    • Branches from one node always multiply to 1
    • Frequencies on final branches add to the first-branch total only
    • The frequencies on branches from one node add up to the frequency at that node

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