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?

  • Xavi's T-shirt
    problem
    Favourite

    Xavi's T-shirt

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

    How much can you read into a T-shirt?

  • Almost One
    problem
    Favourite

    Almost one

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

    Choose some fractions and add them together. Can you get close to 1?

  • Angles inside
    problem
    Favourite

    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?

  • Climbing Complexity
    problem
    Favourite

    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?

  • Calendar Capers
    problem

    Calendar capers

    Age
    11 to 14
    Challenge level
    filled star empty star empty star
    Choose any three by three square of dates on a calendar page...
  • Days and Dates
    problem
    Favourite

    Days and dates

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

    Investigate how you can work out what day of the week your birthday will be on next year, and the year after...

  • 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?

  • A green frog.
    problem
    Favourite

    Frogs

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

    How many moves does it take to swap over some red and blue frogs? Do you have a method?

  • Largest product
    problem
    Favourite

    Largest product

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

    Which set of numbers that add to 100 have the largest product?