Exploring and noticing

  • 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?

  • Last Biscuit
    game

    Last biscuit

    Age
    11 to 18
    Challenge level
    filled star filled star empty star

    Can you find a strategy that ensures you get to take the last biscuit in this game?

  • Sliding Game
    game

    Sliding game

    Age
    7 to 11
    Challenge level
    filled star empty star empty star
    A shunting puzzle for 1 person. Swop the positions of the counters at the top and bottom of the board.
  • 12345
    problem

    12345

    Age
    14 to 16
    Challenge level
    filled star filled star empty star
    Repeat a pattern of numbers to form a larger number. Can you find the sum of all the digits?
  • Climbing Complexity
    problem

    Climbing complexity

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

    In the 2020 Olympic Games, sport climbing was introduced for the first time, and something very interesting happened with the scoring system. Can you find out what was interesting about it?

  • Climbing Conundrum
    problem

    Climbing conundrum

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

    Five children are taking part in a climbing competition with three parts, where their score for each part will be multiplied together. Can you see how the leaderboard will change depending on what happens in the final climb of the competition?

  • Tumbling Down
    problem

    Tumbling down

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

    Watch this animation. What do you see? Can you explain why this happens?

  • Pouring Problem
    problem

    Pouring problem

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

    What do you think is going to happen in this video clip? Are you surprised?

  • Angles inside
    problem

    Angles inside

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

    Draw some angles inside a rectangle. What do you notice? Can you prove it?

  • Robotic Rotations
    problem

    Robotic rotations

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

    How did the the rotation robot make these patterns?