Probability: Age 11-14

This is part of our collection of favourite rich tasks arranged by topic.

If you are a teacher, you can find the whole collection on our Secondary Curriculum teacher page.
Alternatively, if you are a student, you'll find the same problems on our Secondary Curriculum student page.


  • Flippin' discs
    problem
    Favourite

    Flippin' Discs

    Age
    11 to 14
    Challenge level

    Discs are flipped in the air. You win if all the faces show the same colour. What is the probability of winning?

  • Odds and Evens
    problem
    Favourite

    Odds and Evens

    Age
    11 to 14
    Challenge level

    Are these games fair? How can you tell?

  • Interactive Spinners
    problem
    Favourite

    Interactive Spinners

    Age
    11 to 14
    Challenge level

    This interactivity invites you to make conjectures and explore probabilities of outcomes related to two independent events.

  • A ring of Jacks, Queens and Kings on a green table.
    problem
    Favourite

    Sociable Cards

    Age
    11 to 14
    Challenge level

    Move your counters through this snake of cards and see how far you can go. Are you surprised by where you end up?

  • Do you feel lucky?
    problem
    Favourite

    Do You Feel Lucky?

    Age
    11 to 14
    Challenge level

    Some people offer advice on how to win at games of chance, or how to influence probability in your favour. Can you decide whether advice is good or not?

  • What does random look like?
    problem
    Favourite

    What Does Random Look Like?

    Age
    11 to 14
    Challenge level

    Engage in a little mathematical detective work to see if you can spot the fakes.

  • At least one...
    problem
    Favourite

    At Least One...

    Age
    11 to 14
    Challenge level

    Imagine flipping a coin a number of times. Can you work out the probability you will get a head on at least one of the flips?

  • Two's company
    problem
    Favourite

    Two's Company

    Age
    11 to 14
    Challenge level

    Seven balls are shaken. You win if the two blue balls end up touching. What is the probability of winning?

  • Cosy corner
    problem
    Favourite

    Cosy Corner

    Age
    11 to 14
    Challenge level

    Six balls are shaken. You win if at least one red ball ends in a corner. What is the probability of winning?

  • Non-Transitive Dice
    problem
    Favourite

    Non-Transitive Dice

    Age
    11 to 14
    Challenge level

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

  • Statistical shorts
    problem
    Favourite

    Statistical Shorts

    Age
    11 to 16
    Challenge level

    Can you decide whether these short statistical statements are always, sometimes or never true?

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