Being curious

  • Curvy areas
    problem

    Curvy areas

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

    Have a go at creating these images based on circles. What do you notice about the areas of the different sections?

  • Cuboid challenge
    problem

    Cuboid challenge

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

    What's the largest volume of box you can make from a square of paper?

  • Elevenses
    problem

    Elevenses

    Age
    11 to 14
    Challenge level
    filled star empty star empty star
    How many pairs of numbers can you find that add up to a multiple of 11? Do you notice anything interesting about your results?
  • Searching for mean(ing)
    problem

    Searching for mean(ing)

    Age
    11 to 16
    Challenge level
    filled star filled star empty star
    If you have a large supply of 3kg and 8kg weights, how many of each would you need for the average (mean) of the weights to be 6kg?
  • Treasure Hunt
    problem

    Treasure hunt

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

    Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?

  • 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.
  • 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?

  • 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
    5 to 7
    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.