Exploring and noticing

  • Shut the box
    problem

    Shut the box

    Age
    5 to 7
    Challenge level
    filled star empty star empty star

    An old game with lots of arithmetic!

  • Stop the Clock
    problem

    Stop the clock

    Age
    5 to 7
    Challenge level
    filled star filled star filled star

    This is a game for two players. Can you find out how to be the first to get to 12 o'clock?

  • Interactive Spinners
    problem

    Interactive spinners

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

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

  • problem

    In the bag

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    Can you guess the colours of the 10 marbles in the bag? Can you develop an effective strategy for reaching 1000 points in the least number of rounds?

  • Repeating Patterns
    problem

    Repeating patterns

    Age
    5 to 7
    Challenge level
    filled star empty star empty star

    Try continuing these patterns made from triangles. Can you create your own repeating pattern?

  • Impossible triangles?
    problem

    Impossible triangles?

    Age
    16 to 18
    Challenge level
    filled star filled star empty star
    Which of these triangular jigsaws are impossible to finish?
  • Road maker
    problem

    Road maker

    Age
    14 to 18
    Challenge level
    filled star empty star empty star
    Which of these roads will satisfy a Munchkin builder?
  • Tug of War
    problem

    Tug of war

    Age
    5 to 7
    Challenge level
    filled star empty star empty star

    Can you use the numbers on the dice to reach your end of the number line before your partner beats you?

  • The Legacy
    problem

    The legacy

    Age
    14 to 16
    Challenge level
    filled star filled star empty star

    Your school has been left a million pounds in the will of an ex- pupil. What model of investment and spending would you use in order to ensure the best return on the money?

  • Root hunter
    problem

    Root hunter

    Age
    16 to 18
    Challenge level
    filled star empty star empty star

    In this short problem, try to find the location of the roots of some unusual functions by finding where they change sign.