Combinations

  • 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.

  • Elf Suits
    problem

    Elf Suits

    Age
    7 to 11
    Challenge level
    If these elves wear a different outfit every day for as many days as possible, how many days can their fun last?
  • Beads
    problem

    Beads

    Age
    7 to 11
    Challenge level

    Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?

  • Semaphore Signals
    problem

    Semaphore Signals

    Age
    7 to 11
    Challenge level

    Semaphore is a way to signal the alphabet using two flags. You might want to send a message that contains more than just letters. How many other symbols could you send using this code?

  • Chocoholics
    problem

    Chocoholics

    Age
    7 to 11
    Challenge level

    George and Jim want to buy a chocolate bar. George needs 2p more and Jim need 50p more to buy it. How much is the chocolate bar?

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