Working systematically

  • Homes
    problem

    Homes

    Age
    5 to 7
    Challenge level
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    Six new homes are being built! They can be detached, semi-detached or terraced houses. How many different combinations of these can you find?
  • Let's Investigate Triangles
    problem
    Favourite

    Let's Investigate Triangles

    Age
    5 to 7
    Challenge level
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    Vincent and Tara are making triangles with the class construction set. They have a pile of strips of different lengths. How many different triangles can they make?

  • Red Express Train
    problem

    Red Express Train

    Age
    5 to 7
    Challenge level
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    The Red Express Train usually has five red carriages. How many ways can you find to add two blue carriages?
  • problem
    Favourite

    Two Dice

    Age
    5 to 7
    Challenge level
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    Find all the numbers that can be made by adding the dots on two dice.

  • Sunrise over some tower blocks.
    problem
    Favourite

    A City of Towers

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

    In this town, houses are built with one room for each person. There are some families of seven people living in the town. In how many different ways can they build their houses?

  • The School Trip
    problem

    The School Trip

    Age
    5 to 7
    Challenge level
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    Lorenzie was packing his bag for a school trip. He packed four shirts and three pairs of pants. "I will be able to have a different outfit each day", he said. How many days will Lorenzie be away?
  • Fair Exchange
    problem

    Fair Exchange

    Age
    5 to 7
    Challenge level
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    In your bank, you have three types of coins. The number of spots shows how much they are worth. Can you choose coins to exchange with the groups given to make the same total?
  • problem
    Favourite

    Robot Monsters

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

    Use these head, body and leg pieces to make Robot Monsters which are different heights.

  • Cuisenaire Counting
    problem
    Favourite

    Cuisenaire Counting

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

    Here are some rods that are different colours. How could I make a yellow rod using white and red rods?

  • Same Length Trains
    problem
    Favourite

    Same Length Trains

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

    How many trains can you make which are the same length as Matt's and Katie's, using rods that are identical?