P1 record, describe and analyse the frequency of outcomes of probability experiments... Quiz: Pearson Edexcel Maths, Unit 5

The 20 questions

1. What is the primary purpose of a frequency tree?

   • Finding averages
   • Plotting coordinates
   • Tracking multistage outcomes
   • Calculating variance

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

   • Frequency plus trials
   • Trials divided by frequency
   • Probability minus frequency
   • Frequency divided by trials

3. A coin is tossed 50 times and lands heads 27 times. What is the relative frequency of heads?

   • 0.46
   • 0.54
   • 0.27
   • 0.5

4. A dice is rolled 60 times and shows a six 9 times. What is the relative frequency of a six?

   • 0.15
   • 0.85
   • 0.6
   • 0.09

5. A frequency tree shows 80 people, of whom 30 are male, and 12 of the males wear glasses. How many males do not wear glasses?

   • 30
   • 12
   • 18
   • 42

6. In a survey of 40 students, 15 are girls who prefer tea. What is the relative frequency of tea-preferring girls among all 40 students?

   • 0.6
   • 0.375
   • 0.625
   • 0.15

7. A spinner lands on red 18 times in 75 spins. What is the relative frequency of red?

   • 0.24
   • 0.76
   • 0.18
   • 0.42

8. In an experiment, 20 out of 100 people chose option A. What is the relative frequency of A as a fraction in its simplest form?

   • 4/5
   • 1/5
   • 1/4
   • 1/20

9. A bag of counters is drawn from 200 times and blue is drawn 52 times. What is the estimated proportion of blue?

   • 0.74
   • 0.52
   • 0.052
   • 0.26

10. Why do relative frequencies become more reliable as sample size increases?

    • Probability changes
    • Outcomes become fixed
    • Larger samples reduce variation
    • Trials take longer

11. A frequency tree shows 120 pupils, of whom 70 walk, and 28 of the walkers are in Year 11. What is the estimated probability that a pupil walks and is in Year 11?

    • 7/30
    • 7/12
    • 1/3
    • 2/5

12. 50 people are asked how they travel. 18 use the bus, 22 use the train and 10 use a car. What is the relative frequency of car users?

    • 0.1
    • 0.2
    • 0.5
    • 0.36

13. A fair die is rolled 90 times and a number greater than 4 appears 30 times. What is the relative frequency of a number greater than 4?

    • 0.67
    • 0.33
    • 0.5
    • 0.3

14. Between what two values must any relative frequency always lie?

    • 0 and 1
    • 0 and 100
    • 1 and 10
    • -1 and 1

15. A goals table for 20 matches shows: 0 goals in 5 matches, 1 goal in 8, 2 goals in 4 and 3 goals in 3. What is the relative frequency of matches with 2 goals?

    • 0.2
    • 0.25
    • 0.8
    • 0.4

16. Using the same goals table of 20 matches (0 goals 5, 1 goal 8, 2 goals 4, 3 goals 3), which outcome has the highest relative frequency?

    • 3 goals
    • 0 goals
    • 2 goals
    • 1 goal

17. Ahmed played 40 games and won 25. Of his wins, 10 were at home. What fraction of all games were won at home?

    • 1/2
    • 10/25
    • 10/15
    • 1/4

18. What is the sum of the relative frequencies for all possible outcomes in an experiment?

    • 0.5
    • 100
    • 1
    • 0

19. A two-stage experiment has 200 trials. Stage one gives A 120 times, and 30 of the A results are successes. What is the relative frequency of A and success together?

    • 0.25
    • 0.6
    • 0.15
    • 0.375

20. A frequency tree from 60 trials has branch counts 25 and 30. What is the missing branch count?

    • 55
    • 30
    • 5
    • 35

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