Being resourceful

  • Last one standing
    problem

    Last one standing

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

    Imagine a room full of people who keep flipping coins until they get a tail. Will anyone get six heads in a row?

  • Finding factors
    problem

    Finding factors

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

    Can you find the hidden factors which multiply together to produce each quadratic expression?

  • Box plot match
    problem

    Box plot match

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

    Match the cumulative frequency curves with their corresponding box plots.

  • Expenses
    problem

    Expenses

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

    What is the largest number which, when divided into these five numbers in turn, leaves the same remainder each time?

  • Fair Shares?
    problem

    Fair shares?

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

    A mother wants to share some money by giving each child in turn a lump sum plus a fraction of the remainder. How can she do this to share the money out equally?

  • What's Possible?
    problem

    What's possible?

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

    Many numbers can be expressed as the difference of two perfect squares. What do you notice about the numbers you CANNOT make?

  • In a box
    problem

    In a box

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

    Chris and Jo put two red and four blue ribbons in a box. They each pick a ribbon from the box without looking. Jo wins if the two ribbons are the same colour. Is the game fair?

  • The Spider and the Fly
    problem

    The spider and the fly

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

    A spider is sitting in the middle of one of the smallest walls in a room and a fly is resting beside the window. What is the shortest distance the spider would have to crawl to catch the fly?

  • Negatively Triangular
    problem

    Negatively triangular

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

    How many intersections do you expect from four straight lines ? Which three lines enclose a triangle with negative co-ordinates for every point ?

  • problem

    Simplifying doughnut

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

    Can you match up these equivalent algebraic expressions?