Working systematically

  • Who's the best?
    problem
    Favourite

    Who's the best?

    Age
    11 to 14
    Challenge level
    filled star filled star empty star

    Which countries have the most naturally athletic populations?

  • Overlaps
    problem
    Favourite

    Overlaps

    Age
    11 to 14
    Challenge level
    filled star filled star empty star

    Can you find ways to put numbers in the overlaps so the rings have equal totals?

  • Unequal Averages
    problem
    Favourite

    Unequal averages

    Age
    11 to 14
    Challenge level
    filled star filled star empty star

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

  • Pair Sums
    problem

    Pair sums

    Age
    11 to 14
    Challenge level
    filled star filled star filled star

    Five numbers added together in pairs produce: 0, 2, 4, 4, 6, 8, 9, 11, 13, 15 What are the five numbers?

  • Triangles to Tetrahedra
    problem
    Favourite

    Triangles to tetrahedra

    Age
    11 to 14
    Challenge level
    filled star filled star filled star

    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
    filled star filled star filled star

    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?

  • Cuboids
    problem
    Favourite

    Cuboids

    Age
    11 to 14
    Challenge level
    filled star filled star filled star

    Can you find a cuboid that has a surface area of exactly 100 square units. Is there more than one? Can you find them all?

  • Efficient cutting
    problem
    Favourite

    Efficient cutting

    Age
    11 to 14
    Challenge level
    filled star filled star filled star

    Use a single sheet of A4 paper and make a cylinder having the greatest possible volume. The cylinder must be closed off by a circle at each end.

  • Up and across
    problem
    Favourite

    Up and across

    Age
    11 to 14
    Challenge level
    filled star filled star filled star

    Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its vertical and horizontal movement at each stage.

  • Consecutive negative numbers
    problem
    Favourite

    Consecutive negative numbers

    Age
    11 to 14
    Challenge level
    filled star filled star filled star

    Do you notice anything about the solutions when you add and/or subtract consecutive negative numbers?