Conjecturing and generalising

  • What Shape for Two
    problem

    What Shape for Two

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

    'What Shape?' activity for adult and child. Can you ask good questions so you can work out which shape your partner has chosen?

  • Neighbourly Addition
    problem

    Neighbourly Addition

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

    I added together some of my neighbours' house numbers. Can you explain the patterns I noticed?

  • Charitable Pennies
    problem

    Charitable Pennies

    Age
    7 to 14
    Challenge level
    filled star empty star empty star
    Investigate the different ways that fifteen schools could have given money in a charity fundraiser.
  • Got \It for Two
    game

    Got It for Two

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

    Got It game for an adult and child. How can you play so that you know you will always win?

  • Steps to the Podium
    problem

    Steps to the Podium

    Age
    7 to 14
    Challenge level
    filled star filled star filled star
    It starts quite simple but great opportunities for number discoveries and patterns!
  • Nim-like Games
    game

    Nim-Like Games

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

    A collection of games on the NIM theme

  • Pentanim
    game

    Pentanim

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

    A game for 2 players with similarities to NIM. Place one counter on each spot on the games board. Players take it is turns to remove 1 or 2 adjacent counters. The winner picks up the last counter.

  • Have you got it?
    problem

    Have You Got It?

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

    Can you explain the strategy for winning this game with any target?