Being resilient

  • 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
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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
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    Isosceles Triangles

    Age
    11 to 14
    Challenge level
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    Draw some isosceles triangles with an area of $9$cm$^2$ 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
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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
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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
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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
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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?

  • Multiples Sudoku
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    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.

  • How much can we spend?
    problem
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    How Much Can We Spend?

    Age
    11 to 14
    Challenge level
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    A country has decided to have just two different coins. Which totals can be made? Is there a largest total that cannot be made? How do you know?

  • Can you Make 100?
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    Can You Make 100?

    Age
    11 to 14
    Challenge level
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    How many ways can you find to put in operation signs (+, −, ×, ÷) to make 100?