Counting

  • problem

    Pairs of numbers

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

    If you have ten counters numbered 1 to 10, how many can you put into pairs that add to 10? Which ones do you have to leave out? Why?

  • Sitting round the party tables
    problem

    Sitting round the party tables

    Age
    5 to 11
    Challenge level
    filled star empty star empty star
    Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.
  • How Odd
    problem

    How odd

    Age
    5 to 7
    Challenge level
    filled star filled star empty star
    This problem challenges you to find out how many odd numbers there are between pairs of numbers. Can you find a pair of numbers that has four odds between them?
  • Ip Dip
    problem

    Ip dip

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

    "Ip dip sky blue! Who's 'it'? It's you!" Where would you position yourself so that you are 'it' if there are two players? Three players ...?

  • Colourful Tiles
    problem

    Colourful tiles

    Age
    11 to 14
    Challenge level
    filled star empty star empty star
    Weekly Problem 21 - 2011
    How many ways can you paint this wall with four different colours?
  • problem

    Cube bricks and daisy chains

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

    Daisy and Akram were making number patterns. Daisy was using beads that looked like flowers and Akram was using cube bricks. First they were counting in twos.

  • Sort them out (1)
    problem

    Sort them out (1)

    Age
    5 to 7
    Challenge level
    filled star empty star empty star
    Can you each work out the number on your card? What do you notice? How could you sort the cards?
  • Lots of Biscuits!
    problem

    Lots of biscuits!

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

    Help share out the biscuits the children have made.

  • Fingers and Hands
    problem

    Fingers and hands

    Age
    7 to 11
    Challenge level
    filled star empty star empty star
    How would you count the number of fingers in these pictures?
  • Digit Deletion
    problem

    Digit deletion

    Age
    11 to 14
    Challenge level
    filled star filled star filled star
    What is the largest number of digits that could be erased from this 1000-digit number, to get a surprising result?