Being resourceful

  • Giants
    problem
    Favourite

    Giants

    Age
    16 to 18
    Challenge level
    2 out of 3

    Which is the bigger, 9^10 or 10^9 ? Which is the bigger, 99^100 or 100^99 ?

  • Cubestick
    problem
    Favourite

    Cubestick

    Age
    16 to 18
    Challenge level
    2 out of 3

    Stick some cubes together to make a cuboid. Find two of the angles by as many different methods as you can devise.

  • The not-so-simple pendulum 1
    problem
    Favourite

    The Not-So-Simple Pendulum 1

    Age
    16 to 18
    Challenge level
    2 out of 3

    See how the motion of the simple pendulum is not-so-simple after all.

  • The not-so-simple pendulum 2
    problem
    Favourite

    The Not-So-Simple Pendulum 2

    Age
    16 to 18
    Challenge level
    3 out of 3

    Things are roughened up and friction is now added to the approximate simple pendulum

  • Two Spinners
    problem

    Two Spinners

    Age
    5 to 7
    Challenge level
    1 out of 3

    What two-digit numbers can you make with these two dice? What can't you make?

  • Unit Differences
    problem

    Unit Differences

    Age
    5 to 7
    Challenge level
    1 out of 3

    This challenge is about finding the difference between numbers which have the same tens digit.

  • How do you see it?
    problem

    How Do You See It?

    Age
    5 to 11
    Challenge level
    1 out of 3

    Here are some short problems for you to try. Talk to your friends about how you work them out.

  • Jumping squares
    problem

    Jumping Squares

    Age
    5 to 11
    Challenge level
    2 out of 3

    In this problem it is not the squares that jump, you do the jumping! The idea is to go round the track in as few jumps as possible.

  • Count Me In
    problem

    Count Me In

    Age
    7 to 11
    Challenge level
    1 out of 3

    How do you know whether you will reach these numbers when you count in steps of six from zero?

  • The Thousands Game
    problem

    The Thousands Game

    Age
    7 to 11
    Challenge level
    1 out of 3

    Each child in Class 3 took four numbers out of the bag. Who had made the highest even number?