Working systematically

  • Small tomato seedlings in yellow pots.
    problem

    Almost Constant Digits

    Age
    11 to 14
    Challenge level
    3 out of 3

    How many 10-digit numbers containing only 1s, 2s and 3s can you write?

  • Small pepper seedlings in turquoise pots.
    problem

    Kangaroo Hops

    Age
    11 to 14
    Challenge level
    3 out of 3

    Weekly Problem 11 - 2011
    Kanga hops ten times in one of four directions. At how many different points can he end up?

  • The Best Card Trick?
    problem

    The Best Card Trick?

    Age
    11 to 16
    Challenge level
    1 out of 3

    Time for a little mathemagic! Choose any five cards from a pack and show four of them to your partner. How can they work out the fifth?

  • Diagonal Product Sudoku
    problem

    Diagonal Product Sudoku

    Age
    11 to 16
    Challenge level
    1 out of 3

    Given the products of diagonally opposite cells - can you complete this Sudoku?

  • Who's who?
    problem

    Who's Who?

    Age
    11 to 16
    Challenge level
    2 out of 3

    Can you solve the clues to find out who's who on the friendship graph?

  • LOGO Challenge - Triangles-Squares-Stars
    problem

    Logo Challenge - Triangles-Squares-Stars

    Age
    11 to 16
    Challenge level
    2 out of 3

    Can you recreate these designs? What are the basic units? What movement is required between each unit? Some elegant use of procedures will help - variables not essential.

  • LOGO Challenge - The logic of LOGO
    problem

    Logo Challenge - The Logic of Logo

    Age
    11 to 16
    Challenge level
    2 out of 3

    Just four procedures were used to produce a design. How was it done? Can you be systematic and elegant so that someone can follow your logic?

  • Star Product Sudoku
    problem

    Star Product Sudoku

    Age
    11 to 16
    Challenge level
    2 out of 3

    The puzzle can be solved by finding the values of the unknown digits (all indicated by asterisks) in the squares of the $9\times9$ grid.

  • Olympic Logic
    problem

    Olympic Logic

    Age
    11 to 16
    Challenge level
    2 out of 3

    Can you use your powers of logic and deduction to work out the missing information in these sporty situations?

  • Small tomato seedlings in yellow pots.
    problem

    Middle Digit Mean

    Age
    11 to 16
    Challenge level
    2 out of 3

    Weekly Problem 16 - 2016
    How many three digit numbers have the property that the middle digit is the mean of the other two digits?