Describing patterns and sequences

  • Sending Cards
    problem

    Sending Cards

    Age
    7 to 11
    Challenge level

    This challenge asks you to investigate the total number of cards that would be sent if four children send one to all three others. How many would be sent if there were five children? Six?

  • The number 64 and an arrow on a blue metal plate.
    problem

    It's All About 64

    Age
    7 to 11
    Challenge level

    Write the numbers up to 64 in an interesting way so that the shape they make at the end is interesting, different, more exciting ... than just a square.

  • Calendar Patterns
    problem

    Calendar Patterns

    Age
    7 to 11
    Challenge level
    In this section from a calendar, put a square box around the 1st, 2nd, 8th and 9th. Add all the pairs of numbers. What do you notice about the answers?
  • Pyramid numbers
    problem

    Pyramid Numbers

    Age
    7 to 11
    Challenge level
    What are the next three numbers in this sequence? Can you explain why are they called pyramid numbers?
  • A Shapely Network
    problem

    A Shapely Network

    Age
    7 to 11
    Challenge level

    Your challenge is to find the longest way through the network following this rule. You can start and finish anywhere, and with any shape, as long as you follow the correct order.

  • The Mathemagician's Seven Spells
    problem

    The Mathemagician's Seven Spells

    Age
    7 to 11
    Challenge level

    "Tell me the next two numbers in each of these seven minor spells", chanted the Mathemagician, "And the great spell will crumble away!" Can you help Anna and David break the spell?

  • Number Tracks
    problem

    Number Tracks

    Age
    7 to 11
    Challenge level

    Ben's class were cutting up number tracks. First they cut them into twos and added up the numbers on each piece. What patterns could they see?

  • Tables Without Tens
    problem

    Tables Without Tens

    Age
    7 to 11
    Challenge level

    Investigate and explain the patterns that you see from recording just the units digits of numbers in the times tables.

  • The Numbers give the design
    problem

    The Numbers Give the Design

    Age
    7 to 11
    Challenge level

    Make new patterns from simple turning instructions. You can have a go using pencil and paper or with a floor robot.

  • Unravelling Sequences
    problem

    Unravelling Sequences

    Age
    7 to 11
    Challenge level

    Can you describe what is happening as this program runs? Can you unpick the steps in the process?

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