Combinations

  • A stack of four small cardboard boxes.
    problem

    Little Boxes

    Age
    7 to 11
    Challenge level

    How many different cuboids can you make when you use four CDs or DVDs? How about using five, then six?

  • Newspapers
    problem

    Newspapers

    Age
    7 to 11
    Challenge level

    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?

  • Dice and Spinner Numbers
    problem

    Dice and Spinner Numbers

    Age
    7 to 11
    Challenge level

    If you had any number of ordinary dice, what are the possible ways of making their totals 6? What would the product of the dice be each time?

  • Room Doubling
    problem

    Room Doubling

    Age
    7 to 11
    Challenge level
    Investigate the different ways you could split up these rooms so that you have double the number.
  • It Figures
    problem

    It Figures

    Age
    7 to 11
    Challenge level
    Suppose we allow ourselves to use three numbers less than 10 and multiply them together. How many different products can you find? How do you know you've got them all?
  • Different coloured hula hoops.
    problem

    Bean Bags for Bernard's Bag

    Age
    7 to 11
    Challenge level

    How could you put eight bean bags in the hoops so that there are four in the blue hoop, five in the red and six in the yellow? Can you find all the ways of doing this?

  • 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?
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