Exploring and noticing

  • 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?

  • Four-digit targets
    problem

    Four-digit targets

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

    You have two sets of the digits 0-9. Can you arrange these in the five boxes to make four-digit numbers as close to the target numbers as possible?

  • Partly Circles
    problem

    Partly circles

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

    What is the same and what is different about these circle questions? What connections can you make?

  • problem

    Venn diagrams

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

    How will you complete these interactive Venn diagrams?

  • 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?

  • Magic Vs
    problem

    Magic Vs

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

    Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?

  • Crossed Ends
    problem

    Crossed ends

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

    Crosses can be drawn on number grids of various sizes. What do you notice when you add opposite ends?

  • Cubes Here and There
    problem

    Cubes here and there

    Age
    7 to 11
    Challenge level
    filled star empty star empty star
    How many shapes can you build from three red and two green cubes? Can you use what you've found out to predict the number for four red and two green?