Describing patterns and sequences

  • More pebbles
    problem

    More Pebbles

    Age
    7 to 11
    Challenge level
    3 out of 3

    Have a go at this 3D extension to the Pebbles problem.

  • polygonals
    problem

    Polygonals

    Age
    7 to 11
    Challenge level
    3 out of 3

    Polygonal numbers are those that are arranged in shapes as they enlarge. Explore the polygonal numbers drawn here.

  • Magic Crosses
    problem

    Magic Crosses

    Age
    7 to 14
    Challenge level
    1 out of 3

    Can you find examples of magic crosses? Can you find all the possibilities?

  • Steps to the Podium
    problem

    Steps to the Podium

    Age
    7 to 14
    Challenge level
    3 out of 3

    It starts quite simple but great opportunities for number discoveries and patterns!

  • Small tomato seedlings in pink pots.
    problem

    Mean Sequence

    Age
    11 to 14
    Challenge level
    1 out of 3

    Weekly Problem 38 - 2009
    This sequence is given by the mean of the previous two terms. What is the fifth term in the sequence?

  • Small pepper seedlings in orange pots.
    problem

    Expanding Pattern

    Age
    11 to 14
    Challenge level
    1 out of 3

    How many squares are needed to continue this pattern?

  • Small pepper seedlings in orange pots.
    problem

    Many Matildas

    Age
    11 to 14
    Challenge level
    1 out of 3

    MatildaMatildaMatil... What is the 1000th letter?

  • Sept 03
    problem

    Sept 03

    Age
    11 to 14
    Challenge level
    2 out of 3

    What is the last digit of the number 1 / 5^903 ?

  • Seven Squares - Group-worthy Task
    problem

    Seven Squares - Group-Worthy Task

    Age
    11 to 14
    Challenge level
    2 out of 3

    Choose a couple of the sequences. Try to picture how to make the next, and the next, and the next... Can you describe your reasoning?