Working systematically

  • Shaping Up
    problem

    Shaping up

    Age
    7 to 11
    Challenge level
    filled star filled star empty star
    Are all the possible combinations of two shapes included in this set of 27 cards? How do you know?
  • problem

    Oh! Harry!

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

    A group of children are using measuring cylinders but they lose the labels. Can you help relabel them?

  • Twin Equivalent Sudoku
    problem

    Twin equivalent Sudoku

    Age
    16 to 18
    Challenge level
    filled star empty star empty star

    This Sudoku problem consists of a pair of linked standard Sudoku puzzles each with some starting digits.

  • Shopping basket of various food items.
    problem

    A long time at the till

    Age
    14 to 18
    Challenge level
    filled star filled star filled star

    Try to solve this very difficult problem and then study our two suggested solutions. How would you use your knowledge to try to solve variants on the original problem?

  • Weights
    problem

    Weights

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

    Different combinations of the weights available allow you to make different totals. Which totals can you make?

  • One of Thirty-Six
    problem

    One of thirty-six

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

    Can you find the chosen number from the grid using the clues?

  • Putting Two and Two Together
    problem

    Putting two and two together

    Age
    7 to 11
    Challenge level
    filled star empty star empty star
    In how many ways can you fit two of these yellow triangles together? Can you predict the number of ways two blue triangles can be fitted together?
  • Rabbits in the pen
    problem

    Rabbits in the pen

    Age
    7 to 11
    Challenge level
    filled star filled star empty star
    Using the statements, can you work out how many of each type of rabbit there are in these pens?
  • A Bag of Marbles
    problem

    A bag of marbles

    Age
    5 to 7
    Challenge level
    filled star filled star empty star
    Use the information to describe these marbles. What colours must be on marbles that sparkle when rolling but are dark inside?