Fractions

  • Counting Fish
    problem

    Counting Fish

    Age
    14 to 16
    Challenge level
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    I need a figure for the fish population in a lake. How does it help to catch and mark 40 fish?

  • The genes of Gilgamesh
    problem

    The Genes of Gilgamesh

    Age
    14 to 16
    Challenge level
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    Can you work out the parentage of the ancient hero Gilgamesh?

  • Rationals Between...
    problem

    Rationals Between...

    Age
    14 to 16
    Challenge level
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    What fractions can you find between the square roots of 65 and 67?

  • Geometry and Measure - Short Problems
    problem

    F'arc'tion

    Age
    14 to 16
    Challenge level
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    At the corner of the cube circular arcs are drawn and the area enclosed shaded. What fraction of the surface area of the cube is shaded? Try working out the answer without recourse to pencil and paper.

  • Archimedes and numerical roots
    problem

    Archimedes and Numerical Roots

    Age
    14 to 16
    Challenge level
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    The problem is how did Archimedes calculate the lengths of the sides of the polygons which needed him to be able to calculate square roots?

  • Canny Fraction
    problem

    Canny Fraction

    Age
    14 to 16
    Challenge level
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    What fraction of the volume of this can is filled with lemonade?

  • What a Joke
    problem

    What a Joke

    Age
    14 to 16
    Challenge level
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    Each letter represents a different positive digit AHHAAH / JOKE = HA What are the values of each of the letters?

  • Diagonal Touch
    problem

    Diagonal Touch

    Age
    14 to 16
    Challenge level
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    Weekly Problem 21 - 2012
    Two rectangles are drawn in a rectangle. What fraction of the rectangle is shaded?

  • Pythagoras’ Comma
    problem

    Pythagoras' Comma

    Age
    14 to 16
    Challenge level
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    Using an understanding that 1:2 and 2:3 were good ratios, start with a length and keep reducing it to 2/3 of itself. Each time that took the length under 1/2 they doubled it to get back within range.

  • Percentage Swap
    problem

    Percentage Swap

    Age
    14 to 16
    Challenge level
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    What is 50% of 2007 plus 2007% of 50?