Odd and even numbers

  • Part the Piles
    game

    Part the Piles

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

    Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?

  • The date January 7th on a flip calendar, with a purple background.
    problem

    Seven Flipped

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

    Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.

  • Magic Crosses
    problem

    Magic Crosses

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

    Can you find examples of magic crosses? Can you find all the possibilities?

  • 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?

  • A magician's black top hat and wand.
    problem

    Prime Magic

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

    Place the numbers 1, 2, 3,..., 9 one on each square of a 3 by 3 grid so that all the rows and columns add up to a prime number. How many different solutions can you find?

  • Great Granddad
    problem

    Great Granddad

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

    Great Granddad is very proud of his telegram from the Queen congratulating him on his hundredth birthday and he has friends who are even older than he is... When was he born?

  • Jenny's Logic
    problem

    Jenny's Logic

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

    Weekly Problem 52 - 2009
    How did Jenny figure out that Tom's cards added to an even number?

  • FEMTO
    game

    Femto

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

    A new card game for two players.

  • FEMTO: Follow up
    game

    Femto: Follow Up

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

    Follow-up to the February Game Rules of FEMTO.

  • Summats Clear
    problem

    Summats Clear

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

    Find the sum, f(n), of the first n terms of the sequence: 0, 1, 1, 2, 2, 3, 3........p, p, p +1, p + 1,..... Prove that f(a + b) - f(a - b) = ab.