Being resourceful

  • Wipeout
    problem
    Favourite

    Wipeout

    Age
    11 to 16
    Challenge level
    2 out of 3

    Can you do a little mathematical detective work to figure out which number has been wiped out?

  • Triangle in a Trapezium
    problem
    Favourite

    Triangle in a Trapezium

    Age
    11 to 16
    Challenge level
    2 out of 3

    Can you find and prove the relationship between the area of a trapezium and the area of a triangle constructed within it?

  • Pythagoras Proofs
    problem
    Favourite

    Pythagoras Proofs

    Age
    11 to 16
    Challenge level
    2 out of 3

    Can you make sense of these three proofs of Pythagoras' Theorem?

  • Rhombus It
    problem
    Favourite

    Rhombus It

    Age
    11 to 16
    Challenge level
    2 out of 3

    Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a rhombus.

  • Nine Colours
    problem
    Favourite

    Nine Colours

    Age
    11 to 16
    Challenge level
    3 out of 3

    Can you use small coloured cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of each colour?

  • problem
    Favourite

    Shopping Basket

    Age
    11 to 16
    Challenge level
    3 out of 3

    The items in the shopping basket add and multiply to give the same amount. What could their prices be?

  • Ben's Game
    problem
    Favourite

    Ben's Game

    Age
    11 to 16
    Challenge level
    3 out of 3

    Ben, Jack and Emma passed counters to each other and ended with the same number of counters. How many did they start with?

  • crossing the bridge
    problem
    Favourite

    Crossing the Bridge

    Age
    11 to 18
    Challenge level
    2 out of 3

    Four friends must cross a bridge. How can they all cross it in just 17 minutes?

  • How old am I?
    problem
    Favourite

    How Old Am I?

    Age
    14 to 16
    Challenge level
    1 out of 3

    In 15 years' time my age will be the square of my age 15 years ago. Can you work out my age, and when I had other special birthdays?

  • Chances are
    problem
    Favourite

    Chances Are

    Age
    14 to 16
    Challenge level
    1 out of 3

    Which of these games would you play to give yourself the best possible chance of winning a prize?