Describing patterns and sequences

  • Button-Up Some More
    problem

    Button-up some more

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

    How many ways can you find to do up all four buttons on my coat? How about if I had five buttons? Six ...?

  • Many Matildas
    problem

    Many Matildas

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

    MatildaMatildaMatil... What is the 1000th letter?

  • Triple Cubes
    problem

    Triple cubes

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

    This challenge involves eight three-cube models made from interlocking cubes. Investigate different ways of putting the models together then compare your constructions.

  • More pebbles
    problem

    More pebbles

    Age
    7 to 11
    Challenge level
    filled star filled star filled star
    Have a go at this 3D extension to the Pebbles problem.
  • 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.

  • Charlie's delightful machine
    problem

    Charlie's delightful machine

    Age
    11 to 16
    Challenge level
    filled star empty star empty star

    Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?

  • A little light thinking
    problem

    A little light thinking

    Age
    14 to 16
    Challenge level
    filled star empty star empty star

    Here is a machine with four coloured lights. Can you make two lights switch on at once? Three lights? All four lights?

  • En-counters
    problem

    En-counters

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

    This task requires learners to explain and help others, asking and answering questions.

  • Sorting the Numbers
    problem

    Sorting the numbers

    Age
    5 to 11
    Challenge level
    filled star empty star empty star
    Complete these two jigsaws then put one on top of the other. What happens when you add the 'touching' numbers? What happens when you change the position of the jigsaws?