Working systematically

  • Nine Colours
    problem
    Favourite

    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
    Favourite

    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?

  • Ben's Game
    problem
    Favourite

    Ben's Game

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

    Ben, Jack and Emma passed counters to each other and ended with the same number of counters. How many did they start with?

  • More Magic Potting sheds
    problem
    Favourite

    More Magic Potting Sheds

    Age
    11 to 16
    Challenge level
    filled star filled star filled star
    The number of plants in Mr McGregor's magic potting shed increases overnight. He'd like to put the same number of plants in each of his gardens, planting one garden each day. How can he do it?
  • Corresponding Sudokus
    article

    Corresponding Sudokus

    This second Sudoku article discusses "Corresponding Sudokus" which are pairs of Sudokus with terms that can be matched using a substitution rule.

  • Twin Corresponding Sudoku
    problem

    Twin Corresponding Sudoku

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

    This sudoku requires you to have "double vision" - two Sudoku's for the price of one

  • All-Variables Sudoku
    problem

    All-Variables Sudoku

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

    The challenge is to find the values of the variables if you are to solve this Sudoku.

  • LCM Sudoku II
    problem

    LCM Sudoku II

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

    You are given the Lowest Common Multiples of sets of digits. Find the digits and then solve the Sudoku.

  • Colour Islands Sudoku 2
    problem

    Colour Islands Sudoku 2

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

    In this Sudoku, there are three coloured "islands" in the 9×9 grid. Within each "island" EVERY group of nine cells that form a 3×3 square must contain the numbers 1 through 9.