Year P16 Being resourceful

  • 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
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    Two Trees

    Age
    16 to 18
    Challenge level
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    Can you find the distance between the two trees using the information given?

  • Napoleon's Hat
    problem

    Napoleon's Hat

    Age
    16 to 18
    Challenge level
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    Three equilateral triangles ABC, AYX and XZB are drawn with the point X a moveable point on AB. The points P, Q and R are the centres of the three triangles. What can you say about triangle PQR?

  • Teams
    problem
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    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
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    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
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    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?

  • Tangled Trig Graphs
    problem
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    Tangled Trig Graphs

    Age
    16 to 18
    Challenge level
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    Can you work out the equations of the trig graphs I used to make my pattern?

  • 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?