Being resourceful

  • To log or not to log?
    problem

    To log or not to log?

    Age
    16 to 18
    Challenge level
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    Which of these logarithmic challenges can you solve?

  • 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.

  • Curved square
    problem

    Curved square

    Age
    16 to 18
    Challenge level
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    Can you find the area of the central part of this shape? Can you do it in more than one way?

  • Calculus Countdown
    problem

    Calculus countdown

    Age
    16 to 18
    Challenge level
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    Can you hit the target functions using a set of input functions and a little calculus and algebra?

  • Thinking Mathematically - Short Problems
    problem

    Solve me!

    Age
    16 to 18
    Challenge level
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    Can you use numerical methods to solve this equation to 1 decimal place?

  • Agile Algebra
    problem

    Agile algebra

    Age
    16 to 18
    Challenge level
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    Observe symmetries and engage the power of substitution to solve complicated equations.