Length/distance

  • Rolling Around
    problem

    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?
  • Home Time
    problem

    Home time

    Age
    7 to 11
    Challenge level
    filled star filled star empty star
    Alice's mum needs to go to each child's house just once and then back home again. How many different routes are there? Use the information to find out how long each road is on the route she took.
  • The hare and the tortoise
    problem

    The hare and the tortoise

    Age
    7 to 11
    Challenge level
    filled star filled star filled star
    In this version of the story of the hare and the tortoise, the race is 10 kilometres long. Can you work out how long the hare sleeps for using the information given?
  • A Flying Holiday
    problem

    A flying holiday

    Age
    7 to 11
    Challenge level
    filled star empty star empty star
    Follow the journey taken by this bird and let us know for how long and in what direction it must fly to return to its starting point.
  • Bike Ride
    problem

    Bike ride

    Age
    7 to 11
    Challenge level
    filled star empty star empty star
    Nirmala and Riki live 9 kilometres away from the nearest market. They both want to arrive at the market at exactly noon. What time should each of them start riding their bikes?
  • Practice Run
    problem

    Practice run

    Age
    7 to 11
    Challenge level
    filled star filled star filled star
    Chandrika was practising a long distance run. Can you work out how long the race was from the information?
  • A Rod and a Pole
    problem

    A rod and a pole

    Age
    7 to 11
    Challenge level
    filled star filled star empty star
    A lady has a steel rod and a wooden pole and she knows the length of each. How can she measure out an 8 unit piece of pole?
  • Rope Mat
    problem

    Rope mat

    Age
    7 to 11
    Challenge level
    filled star filled star empty star
    How many centimetres of rope will I need to make another mat just like the one I have here?
  • Walk and Ride
    problem

    Walk and ride

    Age
    7 to 14
    Challenge level
    filled star filled star filled star
    How far have these students walked by the time the teacher's car reaches them after their bus broke down?