Introducing Algebra: Age 5-7

This is part of our collection of favourite rich tasks arranged by topic.

If you are a teacher, you can find the whole collection on our Primary Curriculum teacher page.
Alternatively, if you are a student, you'll find the same problems on our Primary Curriculum student page.


  • Number Lines
    problem
    Favourite

    Number Lines

    Age
    5 to 7
    Challenge level
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    Leah and Tom each have a number line. Can you work out where their counters will land?

  • Heads and Feet
    problem
    Favourite

    Heads and Feet

    Age
    5 to 7
    Challenge level
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    On a farm there were some hens and sheep. Altogether there were 8 heads and 22 feet. How many hens were there?

  • Secret Number
    problem
    Favourite

    Secret Number

    Age
    5 to 7
    Challenge level
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    Annie and Ben are playing a game with a calculator. What was Annie's secret number?

  • problem
    Favourite

    The Brown Family

    Age
    5 to 7
    Challenge level
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    Use the information about Sally and her brother to find out how many children there are in the Brown family.

  • Break it up!
    problem
    Favourite

    Break It Up!

    Age
    5 to 11
    Challenge level
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    In how many different ways can you break up a stick of seven interlocking cubes? Now try with a stick of eight cubes and a stick of six cubes. What do you notice?