Combinations

  • Let's Investigate Triangles
    problem
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    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?

  • problem
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    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
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    A City of Towers

    Age
    5 to 7
    Challenge level
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    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?

  • What Shape and Colour?
    problem
    Favourite

    What Shape and Colour?

    Age
    5 to 7
    Challenge level
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    Can you fill in the empty boxes in the grid with the right shape and colour?

  • problem
    Favourite

    Robot Monsters

    Age
    5 to 7
    Challenge level
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    Use these head, body and leg pieces to make Robot Monsters which are different heights.

  • Cuisenaire Counting
    problem
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    Cuisenaire Counting

    Age
    5 to 7
    Challenge level
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    Here are some rods that are different colours. How could I make a yellow rod using white and red rods?

  • Button-Up
    problem
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    Button-Up

    Age
    5 to 7
    Challenge level
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    My coat has three buttons. How many ways can you find to do up all the buttons?
  • Fruity Pairs
    problem
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    Fruity Pairs

    Age
    5 to 7
    Challenge level
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    Which two items of fruit could Kate and Sam choose? Can you order the prices from lowest to highest?

  • problem
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    Noah

    Age
    5 to 7
    Challenge level
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    Noah saw 12 legs walk by into the Ark. How many creatures did he see?

  • Multicoloured socks lying next to each other.
    problem
    Favourite

    Mixed-Up Socks

    Age
    5 to 7
    Challenge level
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    Start with three pairs of socks. Now mix them up so that no mismatched pair is the same as another mismatched pair. Is there more than one way to do it?