Combinations

  • Home City
    problem

    Home City

    Age
    7 to 11
    Challenge level

    Use the clues to work out which cities Mohamed, Sheng, Tanya and Bharat live in.

  • Child's Play
    problem

    Child's Play

    Age
    7 to 11
    Challenge level

    A toy has a regular tetrahedron, a cube and a base with triangular and square hollows. If you fit a shape into the correct hollow a bell rings. How many times does the bell ring in a complete game?

  • Zargon Glasses
    problem

    Zargon Glasses

    Age
    7 to 11
    Challenge level
    Zumf makes spectacles for the residents of the planet Zargon, who have either 3 eyes or 4 eyes. How many lenses will Zumf need to make all the different orders for 9 families?
  • Team Scream
    problem

    Team Scream

    Age
    7 to 11
    Challenge level
    Seven friends went to a fun fair with lots of scary rides. They decided to pair up for rides until each friend had ridden once with each of the others. What was the total number rides?
  • Map Folding
    problem

    Map Folding

    Age
    7 to 11
    Challenge level
    Take a rectangle of paper and fold it in half, and half again, to make four smaller rectangles. How many different ways can you fold it up?
  • A Rod and a Pole
    problem

    A Rod and a Pole

    Age
    7 to 11
    Challenge level
    A lady has a steel rod and a wooden pole and she knows the length of each. How can she measure out an 8 unit piece of pole?
  • Three white dice on a yellow background.
    problem

    Add 3 Dice

    Age
    7 to 11
    Challenge level

    Three dice are placed in a row. Find a way to turn each one so that the three numbers on top of the dice total the same as the three numbers on the front of the dice. Can you find all the ways to do this?

  • Plates of Biscuits
    problem

    Plates of Biscuits

    Age
    7 to 11
    Challenge level
    Can you rearrange the biscuits on the plates so that the three biscuits on each plate are all different and there is no plate with two biscuits the same as two biscuits on another plate?
  • Throw a 100
    problem

    Throw a 100

    Age
    7 to 11
    Challenge level
    Can you score 100 by throwing rings on this board? Is there more than way to do it?
  • Magic triangle
    problem

    Magic Triangle

    Age
    7 to 11
    Challenge level

    Place the digits 1 to 9 into the circles so that each side of the triangle adds to the same total.

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