Visualising and representing

  • Colourful Cube
    problem
    Favourite

    Colourful Cube

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

    A colourful cube is made from little red and yellow cubes. But can you work out how many of each?

  • Growing Surprises
    problem
    Favourite

    Growing Surprises

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

    Can you find the connections between linear and quadratic patterns?

  • Same Answer
    problem
    Favourite

    Same Answer

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

    Aisha's division and subtraction calculations both gave the same answer! Can you find some more examples?

  • More Isometric Areas
    problem
    Favourite

    More Isometric Areas

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

    Isometric Areas explored areas of parallelograms in triangular units. Here we explore areas of triangles...

  • Counting Factors
    problem
    Favourite

    Counting Factors

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

    Is there an efficient way to work out how many factors a large number has?

  • Legs Eleven
    problem
    Favourite

    Legs Eleven

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

    Take any four digit number. Move the first digit to the end and move the rest along. Now add your two numbers. Did you get a multiple of 11?

  • Think of Two Numbers
    problem
    Favourite

    Think of Two Numbers

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

    Think of two whole numbers under 10, and follow the steps. I can work out both your numbers very quickly. How?

  • Rolling Around
    problem
    Favourite

    Rolling Around

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

    A circle rolls around the outside edge of a square so that its circumference always touches the edge of the square. Can you describe the locus of the centre of the circle?

  • An Unusual Shape
    problem
    Favourite

    An Unusual Shape

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

    Can you maximise the area available to a grazing goat?

  • More Number Pyramids
    problem
    Favourite

    More Number Pyramids

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

    When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...