Working systematically

  • 9 Weights
    problem

    9 Weights

    Age
    11 to 14
    Challenge level
    1 out of 3

    You have been given nine weights, one of which is slightly heavier than the rest. Can you work out which weight is heavier in just two weighings of the balance?

  • Small tomato seedlings in pink pots.
    problem

    Loose Change

    Age
    11 to 14
    Challenge level
    1 out of 3

    In how many ways can you give change for a ten pence piece?

  • Multiples Sudoku
    problem

    Multiples Sudoku

    Age
    11 to 14
    Challenge level
    1 out of 3

    Each clue in this Sudoku is the product of the two numbers in adjacent cells.

  • Island Hopping
    problem

    Island Hopping

    Age
    11 to 14
    Challenge level
    1 out of 3

    What is the smallest number of ferry trips that Neda needs to take to visit all four islands and return to the mainland?

  • Small pepper seedlings in turquoise pots.
    problem

    Grid Without Lines

    Age
    11 to 14
    Challenge level
    1 out of 3

    Can you remove the least number of points from this diagram, so no three of the remaining points are in a straight line?

  • Kept Apart
    problem

    Kept Apart

    Age
    11 to 14
    Challenge level
    1 out of 3

    The squares of this grid contain one of the letters P, Q, R and S. Can you complete this square so that touching squares do not contain the same letter? How many possibilities are there?

  • Small pepper seedlings in orange pots.
    problem

    Fruit Line-Up

    Age
    11 to 14
    Challenge level
    1 out of 3

    This grocer wants to arrange his fruit in a particular order, can you help him?

  • Colourful Tiles
    problem

    Colourful Tiles

    Age
    11 to 14
    Challenge level
    1 out of 3

    Weekly Problem 21 - 2011
    How many ways can you paint this wall with four different colours?

  • Mini-Sudoku
    problem

    Mini-Sudoku

    Age
    11 to 14
    Challenge level
    1 out of 3

    How many ways are there of completing the mini-sudoku?