Visualising and representing

  • Placeholder: several colourful numbers
    problem

    Triangles in the middle

    Age
    11 to 18
    Challenge level
    filled star empty star empty star
    This task depends on groups working collaboratively, discussing and reasoning to agree a final product.
  • Rational request
    problem

    Rational request

    Age
    16 to 18
    Challenge level
    filled star filled star filled star

    Can you make a curve to match my friend's requirements?

  • Fraction Match
    problem

    Fraction match

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

    A task which depends on members of the group noticing the needs of others and responding.

  • Table patterns go wild!
    problem

    Table patterns go wild!

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

    Nearly all of us have made table patterns on hundred squares, that is 10 by 10 grids. This problem looks at the patterns on differently sized square grids.

  • Partly Painted Cube
    problem

    Partly painted cube

    Age
    14 to 16
    Challenge level
    filled star filled star empty star

    Jo made a cube from some smaller cubes, painted some of the faces of the large cube, and then took it apart again. 45 small cubes had no paint on them at all. How many small cubes did Jo use?

  • Even and odd
    problem

    Even and odd

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

    This activity is best done with a whole class or in a large group. Can you match the cards? What happens when you add pairs of the numbers together?

  • Mixing Lemonade
    problem

    Mixing lemonade

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    Can you work out which drink has the stronger flavour?

  • Crawl Around the Cube
    problem

    Crawl around the cube

    Age
    11 to 14
    Challenge level
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    Weekly Problem 37 - 2010
    An ant is crawling around the edges of a cube. From the description of his path, can you predict when he will return to his starting point?
  • Don't Be Late
    problem

    Don't be late

    Age
    11 to 14
    Challenge level
    filled star filled star empty star
    Mary is driving to Birmingham Airport. Using her average speed for the entire journey, find how long her journey took.
  • 17s and 23s
    problem

    17s and 23s

    Age
    11 to 14
    Challenge level
    filled star filled star filled star
    Can you form this 2010-digit number...