Working systematically

  • Symmetry Challenge
    problem
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    Symmetry Challenge

    Age
    7 to 11
    Challenge level
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    How many symmetric designs can you make on this grid? Can you find them all?

  • 5 on the clock
    problem
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    5 on the Clock

    Age
    7 to 11
    Challenge level
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    On a digital clock showing 24 hour time, over a whole day, how many times does a 5 appear? Is it the same number for a 12 hour clock over a whole day?

  • Triangles all Around
    problem
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    Triangles All Around

    Age
    7 to 11
    Challenge level
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    Can you find all the different triangles on these peg boards, and find their angles?

  • Curious number
    problem
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    Curious Number

    Age
    7 to 11
    Challenge level
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    Can you order the digits from 1-3 to make a number which is divisible by 3 so when the last digit is removed it becomes a 2-figure number divisible by 2, and so on?

  • Dice in a Corner
    problem
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    Dice in a Corner

    Age
    7 to 11
    Challenge level
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    How could you arrange at least two dice in a stack so that the total of the visible spots is 18?

  • The Dice Train
    problem
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    The Dice Train

    Age
    7 to 11
    Challenge level
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    This dice train has been made using specific rules. How many different trains can you make?

  • Ribbon Squares
    problem
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    Ribbon Squares

    Age
    7 to 11
    Challenge level
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    What is the largest 'ribbon square' you can make? And the smallest? How many different squares can you make altogether?

  • The Remainders Game
    game
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    The Remainders Game

    Age
    7 to 14
    Challenge level
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    Play this game and see if you can figure out the computer's chosen number.

  • Consecutive Numbers
    problem
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    Consecutive Numbers

    Age
    7 to 14
    Challenge level
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    An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.