Working systematically

  • Rearranged Rectangle
    problem

    Rearranged Rectangle

    Age
    7 to 11
    Challenge level
    1 out of 3

    How many different rectangles can you make using this set of rods?

  • Five More Coins
    problem

    Five More Coins

    Age
    7 to 11
    Challenge level
    1 out of 3

    Could Ben have any amount of money between 5p and £2 in his pocket if he has five coins?

  • Build it \Up more
    problem

    Build It Up More

    Age
    7 to 11
    Challenge level
    2 out of 3

    This task follows on from Build it Up and takes the ideas into three dimensions!

  • Open Boxes
    problem

    Open Boxes

    Age
    7 to 11
    Challenge level
    2 out of 3

    Can you work out how many cubes were used to make this open box? What size of open box could you make if you had 112 cubes?

  • Centred Squares
    problem

    Centred Squares

    Age
    7 to 11
    Challenge level
    2 out of 3

    This challenge, written for the Young Mathematicians' Award, invites you to explore 'centred squares'.

  • Dice Stairs
    problem

    Dice Stairs

    Age
    7 to 11
    Challenge level
    2 out of 3

    Can you make dice stairs using the rules stated? How do you know you have all the possible stairs?

  • content-03-01-cupboardlove2-sol1.gif
    problem

    Geoboards

    Age
    7 to 11
    Challenge level
    2 out of 3

    This practical challenge invites you to investigate the different squares you can make on a square geoboard or pegboard.

  • Tiles on a Patio
    problem

    Tiles on a Patio

    Age
    7 to 11
    Challenge level
    2 out of 3

    How many ways can you find of tiling the square patio, using square tiles of different sizes?

  • A cartoon worm.
    problem

    Worms

    Age
    7 to 11
    Challenge level
    2 out of 3

    Place this "worm" on the 100 square and find the total of the four squares it covers. Keeping its head in the same place, what other totals can you make?

  • Newspapers
    problem

    Newspapers

    Age
    7 to 11
    Challenge level
    2 out of 3

    When newspaper pages get separated at home we have to try to sort them out and get things in the correct order. How many ways can we arrange these pages so that the numbering may be different?