Factors and multiples

  • Em'power'ed
    problem
    Favourite

    Em'power'ed

    Age
    16 to 18
    Challenge level
    2 out of 3
    Find the smallest numbers a, b, and c such that: a^2 = 2b^3 = 3c^5 What can you say about other solutions to this problem?
  • Fac-Finding
    problem
    Favourite

    Fac-Finding

    Age
    14 to 16
    Challenge level
    2 out of 3
    Lyndon chose this as one of his favourite problems. It is accessible but needs some careful analysis of what is included and what is not. A systematic approach is really helpful.
  • problem
    Favourite

    Biscuit Decorations

    Age
    5 to 7
    Challenge level
    1 out of 3

    Andrew decorated 20 biscuits to take to a party. He lined them up and put icing on every second biscuit and different decorations on other biscuits. How many biscuits weren't decorated?

  • Share Bears
    problem
    Favourite

    Share Bears

    Age
    5 to 7
    Challenge level
    1 out of 3

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

  • Same Length Trains
    problem
    Favourite

    Same Length Trains

    Age
    5 to 7
    Challenge level
    1 out of 3

    How many trains can you make which are the same length as Matt's and Katie's, using rods that are identical?

  • Clapping Times
    problem
    Favourite

    Clapping Times

    Age
    5 to 7
    Challenge level
    1 out of 3

    If you count from 1 to 20 and clap more loudly on the numbers in the two times table, as well as saying those numbers loudly, which numbers will be loud?

  • Lots of Biscuits!
    problem
    Favourite

    Lots of Biscuits!

    Age
    5 to 7
    Challenge level
    1 out of 3

    Help share out the biscuits the children have made.

  • I Like ...
    problem
    Favourite

    I Like ...

    Age
    5 to 7
    Challenge level
    1 out of 3

    Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?

  • Our Numbers
    problem
    Favourite

    Our Numbers

    Age
    5 to 7
    Challenge level
    1 out of 3

    These spinners will give you the tens and unit digits of a number. Can you choose sets of numbers to collect so that you spin six numbers belonging to your sets in as few spins as possible?

  • Two dice, each showing five.
    problem
    Favourite

    Doubling Fives

    Age
    5 to 7
    Challenge level
    1 out of 3

    This activity focuses on doubling multiples of five.