Working systematically

  • HexPentas
    problem

    HexPentas

    Age
    5 to 11
    Challenge level
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    How many different ways can you find of fitting five hexagons together? How will you know you have found all the ways?

  • Multiples Sudoku
    problem

    Multiples Sudoku

    Age
    11 to 14
    Challenge level
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    Each clue in this Sudoku is the product of the two numbers in adjacent cells.

  • Colour Islands Sudoku 2
    problem

    Colour islands Sudoku 2

    Age
    11 to 18
    Challenge level
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    In this Sudoku, there are three coloured "islands" in the 9x9 grid. Within each "island" EVERY group of nine cells that form a 3x3 square must contain the numbers 1 through 9.

  • Power mad!
    problem

    Power mad!

    Age
    11 to 14
    Challenge level
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    Powers of numbers behave in surprising ways. Take a look at some of these and try to explain why they are true.

  • Cuboid challenge
    problem

    Cuboid challenge

    Age
    11 to 16
    Challenge level
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    What's the largest volume of box you can make from a square of paper?

  • Elevenses
    problem

    Elevenses

    Age
    11 to 14
    Challenge level
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    How many pairs of numbers can you find that add up to a multiple of 11? Do you notice anything interesting about your results?

  • Today's date - 01/06/2009
    problem

    Today's date - 01/06/2009

    Age
    5 to 11
    Challenge level
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    What do you notice about the date 03.06.09? Or 08.01.09? This challenge invites you to investigate some interesting dates yourself.
  • Bochap Sudoku
    problem

    Bochap Sudoku

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

    This Sudoku combines all four arithmetic operations.

  • LCM Sudoku II
    problem

    LCM Sudoku II

    Age
    11 to 18
    Challenge level
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    You are given the Lowest Common Multiples of sets of digits. Find the digits and then solve the Sudoku.