Working systematically

  • All-Variables Sudoku
    problem

    All-Variables Sudoku

    Age
    11 to 18
    Challenge level
    1 out of 3

    The challenge is to find the values of the variables if you are to solve this Sudoku.

  • River Crossing
    problem

    River Crossing

    Age
    11 to 18
    Challenge level
    1 out of 3

    There is nothing half so much worth doing as simply messing about in boats...

  • Four coloured wooden cubes balanced precariously to make a tower.
    problem

    Instant Insanity

    Age
    11 to 18
    Challenge level
    3 out of 3

    Given the nets of 4 cubes with the faces coloured in 4 colours, build a tower so that on each vertical wall no colour is repeated.

  • LOGO Challenge - Pentagram Pylons
    problem

    Logo Challenge - Pentagram Pylons

    Age
    11 to 18
    Challenge level
    3 out of 3

    Pentagram Pylons - can you elegantly recreate them? Or, the European flag in LOGO - what poses the greater problem?

  • LOGO Challenge - Sequences and Pentagrams
    problem

    Logo Challenge - Sequences and Pentagrams

    Age
    11 to 18
    Challenge level
    3 out of 3

    Explore this how this program produces the sequences it does. What are you controlling when you change the values of the variables?

  • LOGO Challenge - Following on
    problem

    Logo Challenge - Following On

    Age
    11 to 18
    Challenge level
    3 out of 3

    Remember that you want someone following behind you to see where you went. Can yo work out how these patterns were created and recreate them?

  • Smith and Jones
    problem

    Smith and Jones

    Age
    14 to 16
    Challenge level
    1 out of 3

    Mr Smith and Mr Jones are two maths teachers. By asking questions, the answers to which may be right or wrong, Mr Jones is able to find the number of the house Mr Smith lives in... Or not!

  • A playing card with a red back, on top of some playing cards with black backs.
    problem

    Spot the Card

    Age
    14 to 16
    Challenge level
    1 out of 3

    It is possible to identify a particular card out of a pack of 15 with the use of some mathematical reasoning. What is this reasoning and can it be applied to other numbers of cards?

  • Small pepper seedlings in turquoise pots.
    problem

    Dicey Directions

    Age
    14 to 16
    Challenge level
    1 out of 3

    An ordinary die is placed on a horizontal table with the '1' face facing East... In which direction is the '1' face facing after this sequence of moves?

  • Small pepper seedlings in orange pots.
    problem

    Adjacent Additions

    Age
    14 to 16
    Challenge level
    1 out of 3

    In a 7-digit numerical code, each group of four consecutive digits adds to 16, and each group of five consecutive digits adds to 19. What is the sum of all 7 digits?