Being resourceful

  • What's the weather like?
    problem
    Favourite

    What's the Weather Like?

    Age
    11 to 14
    Challenge level
    2 out of 3

    With access to weather station data, what interesting questions can you investigate?

  • Quadrilaterals in a Square
    problem
    Favourite

    Quadrilaterals in a Square

    Age
    11 to 14
    Challenge level
    2 out of 3

    What's special about the area of quadrilaterals drawn in a square?

  • Garden Shed
    problem
    Favourite

    Garden Shed

    Age
    11 to 14
    Challenge level
    2 out of 3

    Can you minimise the amount of wood needed to build the roof of my garden shed?

  • Impossibilities
    problem
    Favourite

    Impossibilities

    Age
    11 to 14
    Challenge level
    2 out of 3

    Just because a problem is impossible doesn't mean it's difficult...

  • Unequal Averages
    problem
    Favourite

    Unequal Averages

    Age
    11 to 14
    Challenge level
    2 out of 3

    Play around with sets of five numbers and see what you can discover about different types of average...

  • Terminating or not
    problem
    Favourite

    Terminating or Not

    Age
    11 to 14
    Challenge level
    2 out of 3

    Is there a quick way to work out whether a fraction terminates or recurs when you write it as a decimal?

  • The Farmers' Field Boundary
    problem
    Favourite

    The Farmers' Field Boundary

    Age
    11 to 14
    Challenge level
    2 out of 3

    The farmers want to redraw their field boundary but keep the area the same. Can you advise them?

  • Four playing cards on top of each other. Each card shows a different ace.
    problem
    Favourite

    Snappy Statements

    Age
    11 to 14
    Challenge level
    2 out of 3

    Use properties of numbers to work out whether you can satisfy all these statements at the same time.

  • Triangles to Tetrahedra
    problem
    Favourite

    Triangles to Tetrahedra

    Age
    11 to 14
    Challenge level
    3 out of 3

    Imagine you have an unlimited number of four types of triangle. How many different tetrahedra can you make?

  • How Many Miles To Go?
    problem
    Favourite

    How Many Miles to Go?

    Age
    11 to 14
    Challenge level
    3 out of 3

    How many more miles must the car travel before the numbers on the milometer and the trip meter contain the same digits in the same order?