Working systematically

  • Medal Muddle
    problem

    Medal Muddle

    Age
    11 to 14
    Challenge level
    filled star empty star empty star
    Countries from across the world competed in a sports tournament. Can you devise an efficient strategy to work out the order in which they finished?
  • Cayley
    problem

    Cayley

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

    The letters in the following addition sum represent the digits 1 ... 9. If A=3 and D=2, what number is represented by "CAYLEY"?

  • Football crazy Hockey mad
    problem

    Football Crazy Hockey Mad

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

    In a league of 5 football teams which play in a round robin tournament show that it is possible for all five teams to be league leaders.

  • Multiply the Addition Square
    problem

    Multiply the Addition Square

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

    If you take a three by three square on a 1-10 addition square and multiply the diagonally opposite numbers together, what is the difference between these products. Why?

  • Triangular Clock
    problem

    Triangular Clock

    Age
    11 to 14
    Challenge level
    filled star empty star empty star
    Trinni rearanges numbers on a clock face so each adjacent pair add up to a triangle number... What number did she put where 6 would usually be?
  • Mini Kakuro
    problem

    Mini Kakuro

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

    The sum of each column and row in this grid give the totals as shown. What number goes in the starred square?

  • ACE, TWO, THREE...
    problem

    Ace, Two, Three...

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

    Can you picture how to order the cards to reproduce Charlie's card trick for yourself?

  • Advent Sudoku
    problem

    Advent Sudoku

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

    Rather than using the numbers 1-9, this sudoku uses the nine different letters used to make the words "Advent Calendar".

  • Colour Islands Sudoku
    problem

    Colour Islands Sudoku

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

    An extra constraint means this Sudoku requires you to think in diagonals as well as horizontal and vertical lines and boxes of nine.