Being curious

  • Eight hidden squares
    problem

    Eight hidden squares

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

    On the graph there are 28 marked points. These points all mark the vertices (corners) of eight hidden squares. Can you find the eight hidden squares?

  • Data matching
    problem

    Data matching

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

    Use your skill and judgement to match the sets of random data.

  • Sea Level
    problem

    Sea level

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

    What numbers would you put on this number line as it goes under the sea level?

  • Cola can
    problem

    Cola can

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

    An aluminium can contains 330 ml of cola. If the can's diameter is 6 cm what is the can's height?

  • Negative Power
    problem

    Negative powers

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

    What does this number mean? Which order of 1, 2, 3 and 4 makes the highest value? Which makes the lowest?

  • First Connect Three
    problem

    First connect three

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

    Add or subtract the two numbers on the spinners and try to complete a row of three. Are there some numbers that are good to aim for?

  • swimming pool
    problem

    Swimming pool

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

    In this problem, we're investigating the number of steps we would climb up or down to get out of or into the swimming pool. How could you number the steps below the water?

  • Overlapping Again
    problem

    Overlapping again

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

    What shape is the overlap when you slide one of these shapes half way across another? Can you picture it in your head? Use the interactivity to check your visualisation.

  • Overlaps
    problem

    Overlaps

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

    What does the overlap of these two shapes look like? Try picturing it in your head and then use some cut-out shapes to test your prediction.

  • Twisting and Turning
    problem

    Twisting and turning

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

    Take a look at the video and try to find a sequence of moves that will untangle the ropes.