Working systematically

  • Pocket money
    problem
    Favourite

    Pocket Money

    Age
    11 to 14
    Challenge level
    1 out of 3

    Which of these pocket money systems would you rather have?

  • Days and Dates
    problem
    Favourite

    Days and Dates

    Age
    11 to 14
    Challenge level
    1 out of 3

    Investigate how you can work out what day of the week your birthday will be on next year, and the year after...

  • 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...

  • Reflecting Squarely
    problem
    Favourite

    Reflecting Squarely

    Age
    11 to 14
    Challenge level
    1 out of 3

    In how many ways can you fit all three pieces together to make shapes with line symmetry?

  • 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?

  • 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?

  • Consecutive Seven
    problem
    Favourite

    Consecutive Seven

    Age
    11 to 14
    Challenge level
    1 out of 3

    Can you arrange these numbers into 7 subsets, each of three numbers, so that when the numbers in each are added together, they make seven consecutive numbers?

  • 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?

  • Triangles in circles
    problem
    Favourite

    Triangles in Circles

    Age
    11 to 14
    Challenge level
    1 out of 3

    Can you find triangles on a 9-point circle? Can you work out their angles?