Year P16 Being resourceful

  • crossing the bridge
    problem

    Crossing the Bridge

    Age
    11 to 18
    Challenge level
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    Four friends must cross a bridge. How can they all cross it in just 17 minutes?

  • Which spinners?
    problem

    Which spinners?

    Age
    14 to 18
    Challenge level
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    Can you work out which spinners were used to generate the frequency charts?

  • Perception versus reality
    problem

    Perception versus reality

    Age
    14 to 18
    Challenge level
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    Infographics are a powerful way of communicating statistical information. Can you come up with your own?

  • Negative 3 to the power of negative 3.
    problem

    Negative powers

    Age
    14 to 18
    Challenge level
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    What does this number mean? Which order of 1, 2, 3 and 4 makes the highest value? Which makes the lowest?

  • All tangled up
    problem

    All tangled up

    Age
    14 to 18
    Challenge level
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    Can you tangle yourself up and reach any fraction?

  • Overturning fracsum
    problem

    Overturning fracsum

    Age
    16 to 18
    Challenge level
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    Can you solve the system of equations to find the values of x, y and z?

  • Degree Ceremony
    problem

    Degree ceremony

    Age
    16 to 18
    Challenge level
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    Can you find the sum of the squared sine values?

  • Two Trees
    problem

    Two trees

    Age
    16 to 18
    Challenge level
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    Two trees 20 metres and 30 metres long, lean across a passageway between two vertical walls. They cross at a point 8 metres above the ground. What is the distance between the foot of the trees?

  • Teams
    problem

    Teams

    Age
    16 to 18
    Challenge level
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    Two brothers belong to a club with 10 members. Four are selected for a match. Find the probability that both brothers are selected.

  • Equation Attack
    problem

    Equation attack

    Age
    16 to 18
    Challenge level
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    The equation a^x + b^x = 1 can be solved algebraically in special cases but in general it can only be solved by numerical methods.