Exploring and noticing

  • Growing Surprises
    problem
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    Growing Surprises

    Age
    11 to 14
    Challenge level
    1 out of 3

    Can you find the connections between linear and quadratic patterns?

  • Polygon Rings
    problem
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    Polygon Rings

    Age
    11 to 14
    Challenge level
    1 out of 3

    Join pentagons together edge to edge. Will they form a ring?

  • Star Polygons
    problem
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    Star Polygons

    Age
    11 to 14
    Challenge level
    2 out of 3

    Draw some stars and measure the angles at their points. Can you find and prove a result about their sum?

  • Think of Two Numbers
    problem
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    Think of Two Numbers

    Age
    11 to 14
    Challenge level
    2 out of 3

    Think of two whole numbers under 10, and follow the steps. I can work out both your numbers very quickly. How?

  • Farey Sequences
    problem
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    Farey Sequences

    Age
    11 to 14
    Challenge level
    2 out of 3

    There are lots of ideas to explore in these sequences of ordered fractions.

  • Shear Magic
    problem
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    Shear Magic

    Age
    11 to 14
    Challenge level
    2 out of 3

    Explore the area of families of parallelograms and triangles. Can you find rules to work out the areas?

  • On the Edge
    problem
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    On the Edge

    Age
    11 to 14
    Challenge level
    2 out of 3

    If you move the tiles around, can you make squares with different coloured edges?

  • Sending a Parcel
    problem
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    Sending a Parcel

    Age
    11 to 14
    Challenge level
    2 out of 3

    What is the greatest volume you can get for a rectangular (cuboid) parcel if the maximum combined length and girth are 2 metres?

  • Square coordinates
    problem
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    Square Coordinates

    Age
    11 to 14
    Challenge level
    2 out of 3

    A tilted square is a square with no horizontal sides. Can you devise a general instruction for the construction of a square when you are given just one of its sides?

  • Stars
    problem
    Favourite

    Stars

    Age
    11 to 14
    Challenge level
    2 out of 3

    Can you work out what step size to take to ensure you visit all the dots on the circle?