Being collaborative

  • Quadrilaterals game
    game
    Favourite

    Quadrilaterals Game

    Age
    11 to 14
    Challenge level
    1 out of 3

    A game for 2 or more people, based on the traditional card game Rummy.

  • An American flag waving in the wind.
    problem
    Favourite

    American Billions

    Age
    11 to 14
    Challenge level
    1 out of 3

    Play the divisibility game to create numbers in which the first two digits make a number divisible by 2, the first three digits make a number divisible by 3...

  • Some old-fashioned cinema tickets.
    problem
    Favourite

    Cinema Problem

    Age
    11 to 14
    Challenge level
    1 out of 3

    A cinema has 100 seats. How can ticket sales make £100 for these different combinations of ticket prices?

  • Shady Symmetry
    problem
    Favourite

    Shady Symmetry

    Age
    11 to 14
    Challenge level
    1 out of 3

    How many different symmetrical shapes can you make by shading triangles or squares?

  • Picturing Triangular Numbers
    problem
    Favourite

    Picturing Triangular Numbers

    Age
    11 to 14
    Challenge level
    1 out of 3

    What do you notice about the sum of two identical triangular numbers?

  • Picturing Square Numbers
    problem
    Favourite

    Picturing Square Numbers

    Age
    11 to 14
    Challenge level
    1 out of 3

    Square numbers can be represented as the sum of consecutive odd numbers. What is the sum of 1 + 3 + ..... + 149 + 151 + 153?

  • Tilted Squares
    problem
    Favourite

    Tilted Squares

    Age
    11 to 14
    Challenge level
    1 out of 3

    It's easy to work out the areas of most squares that we meet, but what if they were tilted?

  • Isosceles Triangles
    problem
    Favourite

    Isosceles Triangles

    Age
    11 to 14
    Challenge level
    1 out of 3

    Draw some isosceles triangles with an area of $9cm^2$ and a vertex at (20,20). If all the vertices must have whole number coordinates, how many is it possible to draw?

  • Flippin' discs
    problem
    Favourite

    Flippin' Discs

    Age
    11 to 14
    Challenge level
    1 out of 3

    Discs are flipped in the air. You win if all the faces show the same colour. What is the probability of winning?

  • How far does it move?
    problem
    Favourite

    How Far Does It Move?

    Age
    11 to 14
    Challenge level
    1 out of 3

    Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects the distance it travels at each stage.