Being resilient

  • A chopped carrot beside a whole carrot. The carrot top sits away from the chopped carrot.
    problem

    Remainders

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

    I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?

  • Eight hidden squares
    problem

    Eight hidden squares

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

    On the graph there are 28 marked points. These points all mark the vertices (corners) of eight hidden squares. Can you find the eight hidden squares?

  • Ten Hidden Squares
    problem

    Ten hidden squares

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

    These points all mark the vertices (corners) of ten hidden squares. Can you find the 10 hidden squares?

  • problem

    Inky cube

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

    This cube has ink on each face which leaves marks on paper as it is rolled. Can you work out what is on each face and the route it has taken?

  • So it's times!
    problem

    So it's times!

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

    How will you decide which way of flipping over and/or turning the grid will give you the highest total?

  • 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?

  • Two and Two
    problem

    Two and two

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

    How many solutions can you find to this sum? Each of the different letters stands for a different number.

  • 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?

  • 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?

  • American Billions
    problem

    American billions

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

    Play the divisibility game to create numbers in which the first two digits make a number divisible by 2, the first three digits make a number divisible by 3...