Working systematically

  • What's it worth?
    problem
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    What's It Worth?

    Age
    11 to 16
    Challenge level
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    There are lots of different methods to find out what the shapes are worth - how many can you find?

  • Square It
    problem
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    Square It

    Age
    11 to 16
    Challenge level
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    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 square.

  • Semi-regular Tessellations
    problem
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    Semi-Regular Tessellations

    Age
    11 to 16
    Challenge level
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    Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?

  • Diagonal Product Sudoku
    problem
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    Diagonal Product Sudoku

    Age
    11 to 16
    Challenge level
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    Given the products of diagonally opposite cells - can you complete this Sudoku?

  • Integrated Product Sudoku
    problem
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    Integrated Product Sudoku

    Age
    11 to 16
    Challenge level
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    This Sudoku puzzle can be solved with the help of small clue-numbers on the border lines between pairs of neighbouring squares of the grid.

  • Charlie's delightful machine
    problem
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    Charlie's Delightful Machine

    Age
    11 to 16
    Challenge level
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    Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?

  • Multiple Surprises
    problem
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    Multiple Surprises

    Age
    11 to 16
    Challenge level
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    Sequences of multiples keep cropping up...

  • Parallelogram It
    problem
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    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
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    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?

  • Ratio Sudoku 1
    problem
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    Ratio Sudoku 1

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

    A Sudoku with clues as ratios.