Properties of Shapes: Age 7-11

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.


  • Eight hidden squares
    problem
    Favourite

    Eight Hidden Squares

    Age
    7 to 14
    Challenge level
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    On the graph there are 28 marked points. These points all mark the vertices (corners) of eight hidden squares. Can you find the eight hidden squares?

  • Making Rectangles
    problem
    Favourite

    Making Rectangles

    Age
    7 to 14
    Challenge level
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    A task which depends on members of the group noticing the needs of others and responding.

  • Ten Hidden Squares
    problem
    Favourite

    Ten Hidden Squares

    Age
    7 to 14
    Challenge level
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    These points all mark the vertices (corners) of ten hidden squares. Can you find the 10 hidden squares?

  • problem
    Favourite

    Inky Cube

    Age
    7 to 14
    Challenge level
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    This cube has ink on each face which leaves marks on paper as it is rolled. Can you work out what is on each face and the route it has taken?

  • Baravelle
    problem
    Favourite

    Baravelle

    Age
    7 to 16
    Challenge level
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    What can you see? What do you notice? What questions can you ask?