Being collaborative

  • problem
    Favourite

    Simplifying Doughnut

    Age
    14 to 16
    Challenge level
    2 out of 3

    Can you match up these equivalent algebraic expressions?

  • Which is bigger?
    problem
    Favourite

    Which Is Bigger?

    Age
    14 to 16
    Challenge level
    2 out of 3

    Which is bigger, n+10 or 2n+3? Can you find a good method of answering similar questions?

  • Training schedule
    problem
    Favourite

    Training Schedule

    Age
    14 to 16
    Challenge level
    2 out of 3

    The heptathlon is an athletics competition consisting of 7 events. Can you make sense of the scoring system in order to advise a heptathlete on the best way to reach her target?

  • Fill Me Up Too
    problem
    Favourite

    Fill Me Up Too

    Age
    14 to 16
    Challenge level
    2 out of 3

    In Fill Me Up we invited you to sketch graphs as vessels are filled with water. Can you work out the equations of the graphs?

  • Attractive Tablecloths
    problem
    Favourite

    Attractive Tablecloths

    Age
    14 to 16
    Challenge level
    2 out of 3

    Charlie likes tablecloths that use as many colours as possible, but insists that his tablecloths have some symmetry. Can you work out how many colours he needs for different tablecloth designs?

  • Which list is which?
    problem
    Favourite

    Which List Is Which?

    Age
    14 to 16
    Challenge level
    2 out of 3

    Six samples were taken from two distributions but they got muddled up. Can you work out which list is which?

  • Pythagoras Perimeters
    problem
    Favourite

    Pythagoras Perimeters

    Age
    14 to 16
    Challenge level
    2 out of 3

    If you know the perimeter of a right angled triangle, what can you say about the area?

  • The square under the hypotenuse
    problem
    Favourite

    The Square Under the Hypotenuse

    Age
    14 to 16
    Challenge level
    2 out of 3

    Can you work out the side length of a square that just touches the hypotenuse of a right angled triangle?

  • Angle Trisection
    problem
    Favourite

    Angle Trisection

    Age
    14 to 16
    Challenge level
    3 out of 3

    It is impossible to trisect an angle using only ruler and compasses but it can be done using a carpenter's square.

  • Hexy-Metry
    problem
    Favourite

    Hexy-Metry

    Age
    14 to 16
    Challenge level
    3 out of 3

    A hexagon, with sides alternately a and b units in length, is inscribed in a circle. How big is the radius of the circle?