Fractions

  • Fractions in a Box
    problem

    Fractions in a box

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

    The discs for this game are kept in a flat square box with a square hole for each. Use the information to find out how many discs of each colour there are in the box.

  • Dividing a Cake
    problem

    Dividing a cake

    Age
    7 to 11
    Challenge level
    filled star empty star empty star
    Annie cut this numbered cake into 3 pieces with 3 cuts so that the numbers on each piece added to the same total. Where were the cuts and what fraction of the whole cake was each piece?
  • Fun Time
    problem

    Fun time

    Age
    7 to 11
    Challenge level
    filled star filled star empty star
    On Saturday, Asha and Kishan's grandad took them to a Theme Park. Use the information to work out how long were they in the theme park.
  • In the Money
    problem

    In the money

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

    One quarter of these coins are heads but when I turn over two coins, one third are heads. How many coins are there?

  • problem

    Rectangle tangle

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

    The large rectangle is divided into a series of smaller quadrilaterals and triangles. Can you untangle what fractional part is represented by each of the shapes?

  • Red Balloons, Blue Balloons
    problem

    Red balloons, blue balloons

    Age
    7 to 11
    Challenge level
    filled star empty star empty star
    Katie and Will have some balloons. Will's balloon burst at exactly the same size as Katie's at the beginning of a puff. How many puffs had Will done before his balloon burst?
  • Pies
    problem

    Pies

    Age
    7 to 11
    Challenge level
    filled star filled star empty star
    Grandma found her pie balanced on the scale with two weights and a quarter of a pie. So how heavy was each pie?
  • Pumpkin Pie Problem
    problem

    Pumpkin pie problem

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

    Peter wanted to make two pies for a party. His mother had a recipe for him to use. However, she always made 80 pies at a time. Did Peter have enough ingredients to make two pumpkin pies?

  • Mathematical Swimmer
    problem

    Mathematical swimmer

    Age
    11 to 14
    Challenge level
    filled star filled star filled star
    Can you work out how many lengths I swim each day?
  • Same Shapes
    problem

    Same shapes

    Age
    5 to 7
    Challenge level
    filled star filled star filled star
    How can these shapes be cut in half to make two shapes the same shape and size? Can you find more than one way to do it?