Tree diagrams

  • Non-Transitive Dice
    problem

    Non-transitive dice

    Age
    11 to 14
    Challenge level
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    Alison and Charlie are playing a game. Charlie wants to go first so Alison lets him. Was that such a good idea?

  • project

    Investigating epidemics

    11 to 16
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    Simple models which help us to investigate how epidemics grow and die out.

  • Chances are
    problem

    Chances are

    Age
    14 to 16
    Challenge level
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    Which of these games would you play to give yourself the best possible chance of winning a prize?

  • problem

    Who's the winner?

    Age
    14 to 16
    Challenge level
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    When two closely matched teams play each other, what is the most likely result?

  • Handling Data - Short Problems
    problem

    Odd dice

    Age
    14 to 16
    Challenge level
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    These strange dice are rolled. What is the probability that the sum obtained is an odd number?

  • In a box
    problem

    In a box

    Age
    14 to 16
    Challenge level
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    Chris and Jo put two red and four blue ribbons in a box. They each pick a ribbon from the box without looking. Jo wins if the two ribbons are the same colour. Is the game fair?

  • Same Number!
    problem

    Same number!

    Age
    14 to 16
    Challenge level
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    If everyone in your class picked a number from 1 to 225, do you think any two people would pick the same number?

  • Handling Data - Short Problems
    problem

    Winning marble

    Age
    14 to 16
    Challenge level
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    How can this prisoner escape?

  • Handling Data - Short Problems
    problem

    Dropouts

    Age
    14 to 16
    Challenge level
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    What percentage of students who graduate have never been to France?

  • Which spinners?
    problem

    Which spinners?

    Age
    14 to 18
    Challenge level
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    Can you work out which spinners were used to generate the frequency charts?