Being curious

  • The Matrix
    problem

    The Matrix

    Age
    14 to 18
    Challenge level
    1 out of 3

    Explore a new way of multiplying with matrices.

  • Square Pair
    problem

    Square Pair

    Age
    14 to 18
    Challenge level
    2 out of 3

    Explore the shape of a square after it is transformed by the action of a matrix.

  • Between
    problem

    Between

    Age
    16 to 18
    Challenge level
    1 out of 3

    If you know some points on a line, can you work out other points in between?

  • Napoleon's Hat
    problem

    Napoleon's Hat

    Age
    16 to 18
    Challenge level
    1 out of 3

    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?

  • Archimedes Numerical Roots
    problem

    Archimedes Numerical Roots

    Age
    16 to 18
    Challenge level
    1 out of 3

    How did Archimedes calculate the lengths of the sides of the polygons which needed him to be able to calculate square roots?

  • Rational request
    problem

    Rational Request

    Age
    16 to 18
    Challenge level
    3 out of 3

    Can you make a curve to match my friend's requirements?

  • project

    How Many?

    5 to 7
    1 out of 3

    This project challenges you to work out the number of cubes hidden under a cloth. What questions would you like to ask?