Being resourceful

  • Square Corners
    problem

    Square corners

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

    What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?

  • A Puzzling Cube
    problem

    A puzzling cube

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

    Here are the six faces of a cube - in no particular order. Here are three views of the cube. Can you deduce where the faces are in relation to each other and record them on the net of this cube?

  • problem

    Multiplication squares

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

    Can you work out the arrangement of the digits in the square so that the given products are correct? The numbers 1 - 9 may be used once and once only.

  • problem

    Reach 100

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

    Choose four different digits from 1-9 and put one in each box so that the resulting four two-digit numbers add to a total of 100.

  • All the Digits
    problem

    All the digits

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

    This multiplication uses each of the digits 0 - 9 once and once only. Using the information given, can you replace the stars in the calculation with figures?

  • Fractions in a Box
    problem

    Fractions in a box

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

    The discs for this game are kept in a flat square box with a square hole for each. Use the information to find out how many discs of each colour there are in the box.

  • In the Money
    problem

    In the money

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

    One quarter of these coins are heads but when I turn over two coins, one third are heads. How many coins are there?

  • Four goodness sake
    problem

    Four goodness' sake

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

    Use 4 four times in a calculation. What answers can you get?

  • The tomato and the bean
    problem

    The tomato and the bean

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

    At the beginning of May, Tom put his tomato plant outside. On the same day he sowed a bean in another pot. When will the two be the same height?

  • Mystery Matrix
    problem

    Mystery matrix

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

    Can you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.