Multiplication and division

  • The Money Maze
    problem

    The money maze

    Age
    7 to 11
    Challenge level
    filled star empty star empty star
    Go through the maze, collecting and losing your money as you go. Which route gives you the highest return? And the lowest?
  • Interstellar
    problem

    Interstellar

    Age
    11 to 14
    Challenge level
    filled star empty star empty star
    What number could replace * so that */5 is between 3 and 4?
  • problem

    Orange drink

    Age
    7 to 11
    Challenge level
    filled star filled star empty star

    A 750 ml bottle of concentrated orange squash is enough to make fifteen 250 ml glasses of diluted orange drink. How much water is needed to make 10 litres of this drink?

  • Fair Feast
    problem

    Fair feast

    Age
    5 to 11
    Challenge level
    filled star empty star empty star

    Here is a picnic that Petros and Michael are going to share equally. Can you tell us what each of them will have?

  • Lots of Lollies
    problem

    Lots of lollies

    Age
    5 to 7
    Challenge level
    filled star filled star filled star

    Frances and Rishi were given a bag of lollies. They shared them out evenly and had one left over. How many lollies could there have been in the bag?

  • Share Bears
    problem

    Share bears

    Age
    5 to 7
    Challenge level
    filled star empty star empty star

    Yasmin and Zach have some bears to share. Which numbers of bears can they share so that there are none left over?

  • Peaches today, Peaches tomorrow...
    problem

    Peaches today, peaches tomorrow...

    Age
    11 to 14
    Challenge level
    filled star filled star empty star

    A monkey with peaches, keeps a fraction of them each day, gives the rest away, and then eats one. How long can his peaches last?

  • Number Tracks
    problem

    Number tracks

    Age
    7 to 11
    Challenge level
    filled star empty star empty star
    Ben's class were cutting up number tracks. First they cut them into twos and added up the numbers on each piece. What patterns could they see?
  • Machines
    problem

    Machines

    Age
    7 to 11
    Challenge level
    filled star empty star empty star
    What is happening at each box in these machines?
  • problem

    A mixed-up clock

    Age
    7 to 11
    Challenge level
    filled star empty star empty star

    There is a clock-face where the numbers have become all mixed up. Can you find out where all the numbers have got to from these ten statements?