Counting

  • Truth or Lie
    problem

    Truth or lie

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

    Take a look at the video of this trick. Can you perform it yourself? Why is this maths and not magic?

  • Counting Cards
    problem

    Counting cards

    Age
    7 to 11
    Challenge level
    filled star filled star filled star
    A magician took a suit of thirteen cards and held them in his hand face down. Every card he revealed had the same value as the one he had just finished spelling. How did this work?
  • Some Secret Codes
    problem

    Some secret codes

    Age
    7 to 11
    Challenge level
    filled star filled star filled star
    Can you follow the rule to decode the messages?
  • Slippery Snail
    problem

    Slippery snail

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

    A game for two people, who take turns to move the counters. The player to remove the last counter from the board wins.

  • Amazing Card Trick
    problem

    Amazing card trick

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

    How is it possible to predict the card?

  • Pairs
    problem

    Pairs

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

    Ann thought of 5 numbers and told Bob all the sums that could be made by adding the numbers in pairs. The list of sums is 6, 7, 8, 8, 9, 9, 10,10, 11, 12. Help Bob to find out which numbers Ann was thinking of.

  • Back to the Planet of Vuvv
    problem

    Back to the planet of Vuvv

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

    There are two forms of counting on Vuvv - Zios count in base 3 and Zepts count in base 7. Can you work out in which direction the Zios and Zepts were looking, based on the information you're given?

  • Cinema Costs
    problem

    Cinema costs

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

    Weekly Problem 41 - 2009
    At a cinema a child's ticket costs £4.20 and an adult's ticket costs £7.70. How much did it cost this group of adults and children to see a film?

  • 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.