Properties of Shapes: 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.


  • Sunrise over some tower blocks.
    problem
    Favourite

    A City of Towers

    Age
    5 to 7
    Challenge level

    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?

  • Repeating Patterns
    problem
    Favourite

    Repeating Patterns

    Age
    5 to 7
    Challenge level

    Try continuing these patterns made from triangles. Can you create your own repeating pattern?

  • Data shapes
    problem
    Favourite

    Data Shapes

    Age
    5 to 7
    Challenge level

    Sara and Will were sorting some pictures of shapes on cards. "I'll collect the circles," said Sara. "I'll take the red ones," answered Will. Can you see any cards they would both want?

  • What's happening?
    problem
    Favourite

    What's Happening?

    Age
    5 to 7
    Challenge level

    Shapes are added to other shapes. Can you see what is happening? What is the rule?

  • Paper Patchwork 1
    problem
    Favourite

    Paper Patchwork 1

    Age
    5 to 7
    Challenge level

    Can you work out what shape is made when this piece of paper is folded up using the crease pattern shown?

  • Paper Patchwork 2
    problem
    Favourite

    Paper Patchwork 2

    Age
    5 to 7
    Challenge level

    Have a go at making a few of these shapes from paper in different sizes. What patterns can you create?

  • Triangle Animals
    problem
    Favourite

    Triangle Animals

    Age
    5 to 7
    Challenge level

    How many different ways can you find to join three equilateral triangles together? Can you convince us that you have found them all?

  • Halving
    problem
    Favourite

    Halving

    Age
    5 to 7
    Challenge level

    These pictures show squares split into halves. Can you find other ways?

  • Olympic rings
    problem
    Favourite

    Olympic Rings

    Age
    5 to 7
    Challenge level

    Can you design your own version of the Olympic rings, using interlocking squares instead of circles?

  • Square split into a triangle and trapezium
    problem
    Favourite

    Tangram Tangle

    Age
    5 to 7
    Challenge level

    If you split the square into these two pieces, it is possible to fit the pieces together again to make a new shape. How many new shapes can you make?

  • Jig Shapes
    problem
    Favourite

    Jig Shapes

    Age
    5 to 11
    Challenge level

    Can you each work out what shape you have part of on your card? What will the rest of it look like?

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