Being resilient

  • Same length
    problem

    Same length

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

    Construct two equilateral triangles on a straight line. There are two lengths that look the same - can you prove it?

  • Funny Factorisation
    problem

    Funny factorisation

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

    Using the digits 1 to 9, the number 4396 can be written as the product of two numbers. Can you find the factors?

  • Take Three From Five
    problem

    Take three from five

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

    Caroline and James pick sets of five numbers. Charlie tries to find three that add together to make a multiple of three. Can they stop him?

  • Product Sudoku
    problem

    Product Sudoku

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

    The clues for this Sudoku are the product of the numbers in adjacent squares.

  • More Twisting and Turning
    problem

    More twisting and turning

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

    It would be nice to have a strategy for disentangling any tangled ropes...

  • Wipeout
    problem

    Wipeout

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

    Can you do a little mathematical detective work to figure out which number has been wiped out?

  • Nine Colours
    problem

    Nine colours

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

    Can you use small coloured cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of each colour?

  • problem

    Shopping basket

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

    The items in the shopping basket add and multiply to give the same amount. What could their prices be?

  • Last Biscuit
    game

    Last biscuit

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

    Can you find a strategy that ensures you get to take the last biscuit in this game?

  • A little light thinking
    problem

    A little light thinking

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

    Here is a machine with four coloured lights. Can you make two lights switch on at once? Three lights? All four lights?