Conjecturing and generalising

  • Why stop at Three by One
    article

    Why stop at three by one

    Beautiful mathematics. Two 18 year old students gave eight different proofs of one result then generalised it from the 3 by 1 case to the n by 1 case and proved the general result.

  • Sum the Series
    article

    Sum the series

    This article by Alex Goodwin, age 18 of Madras College, St Andrews describes how to find the sum of 1 + 22 + 333 + 4444 + ... to n terms.
  • Dicey Operations in Line
    game
    Favourite

    Dicey operations in line

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

    In these addition, subtraction, multiplication and division games, you'll need to think strategically to get closest to the target.

  • Dicey Operations
    game
    Favourite

    Dicey operations

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

    In these addition and subtraction games, you'll need to think strategically to get closest to the target.

  • The Remainders Game
    game
    Favourite

    The remainders game

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

    Play this game and see if you can figure out the computer's chosen number.

  • Factors and Multiples Game
    game
    Favourite

    Factors and multiples game

    Age
    7 to 16
    Challenge level
    filled star empty star empty star

    A game in which players take it in turns to choose a number. Can you block your opponent?

  • Sliding Puzzle
    game

    Sliding puzzle

    Age
    11 to 16
    Challenge level
    filled star empty star empty star
    The aim of the game is to slide the green square from the top right hand corner to the bottom left hand corner in the least number of moves.
  • Jam
    game

    Jam

    Age
    14 to 16
    Challenge level
    filled star filled star filled star

    To avoid losing think of another very well known game where the patterns of play are similar.

  • One, Three, Five, Seven
    game

    One, three, five, seven

    Age
    11 to 16
    Challenge level
    filled star filled star filled star
    A game for 2 players. Set out 16 counters in rows of 1,3,5 and 7. Players take turns to remove any number of counters from a row. The player left with the last counter looses.
  • Jam
    game

    Jam

    Age
    14 to 16
    Challenge level
    filled star filled star filled star
    A game for 2 players