Describing patterns and sequences

  • Lost Books
    problem

    Lost Books

    Age
    7 to 11
    Challenge level
    While we were sorting some papers we found 3 strange sheets which seemed to come from small books but there were page numbers at the foot of each page. Did the pages come from the same book?
  • Transformation Tease
    problem

    Transformation Tease

    Age
    7 to 11
    Challenge level
    What are the coordinates of this shape after it has been transformed in the ways described? Compare these with the original coordinates. What do you notice about the numbers?
  • More pebbles
    problem

    More Pebbles

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

    Polygonals

    Age
    7 to 11
    Challenge level
    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

    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
    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

    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

    How many squares are needed to continue this pattern?

  • Small pepper seedlings in orange pots.
    problem

    Many Matildas

    Age
    11 to 14
    Challenge level

    MatildaMatildaMatil... What is the 1000th letter?

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