Combinations

  • Delia's routes
    problem

    Delia's Routes

    Age
    7 to 11
    Challenge level
    A little mouse called Delia lives in a hole in the bottom of a tree.....How many days will it be before Delia has to take the same route again?
  • Hubble, bubble
    problem

    Hubble, Bubble

    Age
    7 to 11
    Challenge level
    Winifred Wytsh bought a box each of jelly babies, milk jelly bears, yellow jelly bees and jelly belly beans. In how many different ways could she make a jolly jelly feast with 32 legs?
  • Six is the Sum
    problem

    Six Is the Sum

    Age
    7 to 11
    Challenge level

    What do the digits in the number fifteen add up to? How many other numbers have digits with the same total but no zeros?

  • Two Egg Timers
    problem

    Two Egg Timers

    Age
    7 to 11
    Challenge level
    You have two egg timers. One takes 4 minutes exactly to empty and the other takes 7 minutes. What times in whole minutes can you measure and how?
  • 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?

  • Prison Cells
    problem

    Prison Cells

    Age
    7 to 11
    Challenge level

    There are 78 prisoners in a square cell block of twelve cells. The clever prison warder arranged them so there were 25 along each wall of the prison block. How did he do it?

  • Pairs of glasses of four different colours.
    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?
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