Describing patterns and sequences

  • Amazing Alphabet Maze
    problem

    Amazing alphabet maze

    Age
    5 to 7
    Challenge level
    filled star filled star empty star
    Can you go from A to Z right through the alphabet in the hexagonal maze?
  • Chain of Changes
    problem

    Chain of changes

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

    In this activity, shapes can be arranged by changing either the colour or the shape each time. Can you find a way to do it?

  • problem

    Three ball line up

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

    Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.

  • problem

    Caterpillars

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

    These caterpillars have 16 parts. What different shapes do they make if each part lies in the small squares of a 4 by 4 square?

  • The tomato and the bean
    problem

    The tomato and the bean

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

    At the beginning of May, Tom put his tomato plant outside. On the same day he sowed a bean in another pot. When will the two be the same height?

  • Circles, Circles
    problem

    Circles, circles

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

    Here are some arrangements of circles. How many circles would I need to make the next size up for each? Can you create your own arrangement and investigate the number of circles it needs?

  • Lawn Border
    problem

    Lawn border

    Age
    5 to 11
    Challenge level
    filled star empty star empty star
    If I use 12 green tiles to represent my lawn, how many different ways could I arrange them? How many border tiles would I need each time?
  • Break it up!
    problem

    Break it up!

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

    In how many different ways can you break up a stick of seven interlocking cubes? Now try with a stick of eight cubes and a stick of six cubes. What do you notice?

  • Street Sequences
    problem

    Street sequences

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

    Investigate what happens when you add house numbers along a street in different ways.

  • Birds in the Garden
    problem

    Birds in the garden

    Age
    5 to 11
    Challenge level
    filled star empty star empty star
    This activity asks you to collect information about the birds you see in the garden. Are there patterns in the data or do the birds seem to visit randomly?