Working systematically

  • Charlie's delightful machine
    problem

    Charlie's delightful machine

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

    Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?

  • Multiple Surprises
    problem

    Multiple surprises

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

    Sequences of multiples keep cropping up...

  • Parallelogram It
    problem

    Parallelogram it

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

    Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a parallelogram.

  • 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?

  • 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.

  • Magic potting sheds
    problem

    Magic potting sheds

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

    Mr McGregor has a magic potting shed. Overnight, the number of plants in it doubles. He'd like to put the same number of plants in each of three gardens, planting one garden each day. Can he do it?

  • 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...

  • Bochap Sudoku
    problem

    Bochap Sudoku

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

    This Sudoku combines all four arithmetic operations.

  • 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?

  • Olympic Logic
    problem

    Olympic logic

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

    Can you use your powers of logic and deduction to work out the missing information in these sporty situations?