Being resilient

  • Two and Two
    problem
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    Two and Two

    Age
    7 to 16
    Challenge level
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    How many solutions can you find to this sum? Each of the different letters stands for a different number.

  • Climbing Complexity
    problem
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    Climbing Complexity

    Age
    11 to 14
    Challenge level
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    In the 2020 Olympic Games, sport climbing was introduced for the first time, and something very interesting happened with the scoring system. Can you find out what was interesting about it?

  • An American flag waving in the wind.
    problem
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    American Billions

    Age
    11 to 14
    Challenge level
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    Play the divisibility game to create numbers in which the first two digits make a number divisible by 2, the first three digits make a number divisible by 3...

  • A green frog.
    problem
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    Frogs

    Age
    11 to 14
    Challenge level
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    How many moves does it take to swap over some red and blue frogs? Do you have a method?

  • Reflecting Squarely
    problem
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    Reflecting Squarely

    Age
    11 to 14
    Challenge level
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    In how many ways can you fit all three pieces together to make shapes with line symmetry?

  • Isosceles Triangles
    problem
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    Isosceles Triangles

    Age
    11 to 14
    Challenge level
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    Draw some isosceles triangles with an area of $9cm^2$ and a vertex at (20,20). If all the vertices must have whole number coordinates, how many is it possible to draw?

  • Odds and Evens
    problem
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    Odds and Evens

    Age
    11 to 14
    Challenge level
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    Are these games fair? How can you tell?

  • Substitution Cipher
    problem
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    Substitution Cipher

    Age
    11 to 14
    Challenge level
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    Find the frequency distribution for ordinary English, and use it to help you crack the code.

  • m, m and m
    problem
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    M, M and M

    Age
    11 to 14
    Challenge level
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    If you are given the mean, median and mode of five positive whole numbers, can you find the numbers?

  • Elevenses
    problem
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    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?