Counting

  • Cunning Card Trick
    problem

    Cunning Card Trick

    Age
    11 to 14
    Challenge level
    3 out of 3

    Delight your friends with this cunning trick! Can you explain how it works?

  • Small tomato seedlings in pink pots.
    problem

    Cinema Costs

    Age
    11 to 14
    Challenge level
    3 out of 3

    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?

  • Small tomato seedlings in pink pots.
    problem

    Digit Deletion

    Age
    11 to 14
    Challenge level
    3 out of 3

    What is the largest number of digits that could be erased from this 1000-digit number, to get a surprising result?

  • Doodles
    problem

    Doodles

    Age
    14 to 16
    Challenge level
    1 out of 3

    Draw a 'doodle' - a closed intersecting curve drawn without taking pencil from paper. What can you prove about the intersections?

  • FEMTO
    game

    Femto

    Age
    14 to 16
    Challenge level
    3 out of 3

    A new card game for two players.

  • FEMTO: Follow up
    game

    Femto: Follow Up

    Age
    14 to 16
    Challenge level
    3 out of 3

    Follow-up to the February Game Rules of FEMTO.

  • Voting Paradox
    problem

    Voting Paradox

    Age
    14 to 18
    Challenge level
    2 out of 3

    Some relationships are transitive, such as 'if A>B and B>C then it follows that A>C', but some are not. In a voting system, if A beats B and B beats C should we expect A to beat C?

  • Ruler
    problem

    Ruler

    Age
    16 to 18
    Challenge level
    1 out of 3

    The interval 0 - 1 is marked into halves, quarters, eighths ... etc. Vertical lines are drawn at these points, heights depending on positions. What happens as this process goes on indefinitely?

  • Links and Knots
    article

    Links and Knots

    Some puzzles requiring no knowledge of knot theory, just a careful inspection of the patterns. A glimpse of the classification of knots, prime knots, crossing numbers and knot arithmetic.
  • Adding with the Abacus
    article

    Adding With the Abacus

    Nowadays the calculator is very familiar to many of us. What did people do to save time working out more difficult problems before the calculator existed?