Describing patterns and sequences

  • Light Blue - Dark Blue
    problem

    Light Blue - Dark Blue

    Age
    7 to 11
    Challenge level
    2 out of 3

    Investigate the successive areas of light blue in these diagrams.

  • All seated
    problem

    All Seated

    Age
    7 to 11
    Challenge level
    2 out of 3

    Look carefully at the numbers. What do you notice? Can you make another square using the numbers 1 to 16, that displays the same properties?

  • Sets of Four Numbers
    problem

    Sets of Four Numbers

    Age
    7 to 11
    Challenge level
    2 out of 3

    There are ten children in Becky's group. Can you find a set of numbers for each of them? Are there any other sets?

  • Function Machines
    problem

    Function Machines

    Age
    7 to 11
    Challenge level
    2 out of 3

    If the numbers 5, 7 and 4 go into this function machine, what numbers will come out?

  • Investigating Pascal's Triangle
    problem

    Investigating Pascal's Triangle

    Age
    7 to 11
    Challenge level
    2 out of 3

    In this investigation, we look at Pascal's Triangle in a slightly different way - rotated and with the top line of ones taken off.

  • Button-Up Some More
    problem

    Button-Up Some More

    Age
    7 to 11
    Challenge level
    2 out of 3

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

  • Rods and Rods
    problem

    Rods and Rods

    Age
    7 to 11
    Challenge level
    2 out of 3

    Using only the red and white rods, how many different ways are there to make up the other colours of rod?

  • Bundles of Cubes
    problem

    Bundles of Cubes

    Age
    7 to 11
    Challenge level
    2 out of 3

    Watch this animation. What do you notice? What happens when you try more or fewer cubes in a bundle?

  • Lost Books
    problem

    Lost Books

    Age
    7 to 11
    Challenge level
    3 out of 3
    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
    3 out of 3

    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?