2D shapes and their properties

There are 151 NRICH Mathematical resources connected to 2D shapes and their properties
Seeing Squares
problem

Seeing Squares

Age
5 to 11
Challenge level
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Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.
Opposite vertices
problem

Opposite vertices

Age
11 to 14
Challenge level
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Can you recreate squares and rhombuses if you are only given a side or a diagonal?
Shaping It
problem

Shaping It

Age
5 to 11
Challenge level
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These pictures were made by starting with a square, finding the half-way point on each side and joining those points up. You could investigate your own starting shape.
Sorting Logic Blocks
problem

Sorting Logic Blocks

Age
5 to 11
Challenge level
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This activity focuses on similarities and differences between shapes.
Shapely Lines
problem

Shapely Lines

Age
5 to 7
Challenge level
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This challenge invites you to create your own picture using just straight lines. Can you identify shapes with the same number of sides and decorate them in the same way?
Quad match
problem

Quad match

Age
7 to 11
Challenge level
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A task which depends on members of the group noticing the needs of others and responding.
What shape?
problem

What shape?

Age
7 to 14
Challenge level
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This task develops spatial reasoning skills. By framing and asking questions a member of the team has to find out what mathematical object they have chosen.
Jig Shapes
problem

Jig Shapes

Age
5 to 11
Challenge level
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Can you each work out what shape you have part of on your card? What will the rest of it look like?
Contact Circles
problem

Contact Circles

Age
14 to 16
Challenge level
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These four touching circles have another circle hiding amongst them...
Circle Time
problem

Circle Time

Age
14 to 16
Challenge level
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Three circles of different radii each touch the other two. What can you deduce about the arc length between these points?