Visualising and representing

  • Polygon walk
    problem

    Polygon Walk

    Age
    16 to 18
    Challenge level
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    Go on a vector walk and determine which points on the walk are closest to the origin.

  • Paintbrush and different coloured watercolour paint blocks.
    problem

    Painting by Numbers

    Age
    16 to 18
    Challenge level
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    How many different colours of paint would be needed to paint these pictures by numbers?

  • Painting by functions
    problem

    Painting by Functions

    Age
    16 to 18
    Challenge level
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    Use functions to create minimalist versions of works of art.

  • Thinking Mathematically - Short Problems
    problem

    Quick Sum

    Age
    16 to 18
    Challenge level
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    Is this surd sum exactly 3?

  • Calculus analogies
    problem

    Calculus Analogies

    Age
    16 to 18
    Challenge level
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    Consider these analogies for helping to understand key concepts in calculus.

  • Placeholder: several colourful numbers
    problem

    Speedo

    Age
    16 to 18
    Challenge level
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    Investigate the relationship between speeds recorded and the distance travelled in this kinematic scenario.

  • Polar Bearings
    problem

    Polar Bearings

    Age
    16 to 18
    Challenge level
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    What on earth are polar coordinates, and why would you want to use them?

  • Trig reps
    problem

    Trig Reps

    Age
    16 to 18
    Challenge level
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    Can you deduce the familiar properties of the sine and cosine functions starting from these three different mathematical representations?

  • Five circuits, seven spins
    problem

    Five Circuits, Seven Spins

    Age
    16 to 18
    Challenge level
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    A circular plate rolls inside a rectangular tray making five circuits and rotating about its centre seven times. Find the dimensions of the tray.
  • Maximum Scattering
    problem

    Maximum Scattering

    Age
    16 to 18
    Challenge level
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    Your data is a set of positive numbers. What is the maximum value that the standard deviation can take?