2D shapes and their properties

There are 152 NRICH Mathematical resources connected to 2D shapes and their properties

problem

Favourite

Chain of changes

Age

5 to 7

Challenge level

Arrange the shapes in a line so that you change either colour or shape in the next piece along. Can you find several ways to start with a blue triangle and end with a red circle?

problem

Favourite

2 rings

Age

5 to 7

Challenge level

The red ring is inside the blue ring in this picture. Can you rearrange the rings in different ways? Perhaps you can overlap them or put one outside another?

problem

Favourite

Hex

Age

11 to 14

Challenge level

Explain how the thirteen pieces making up the regular hexagon shown in the diagram can be re-assembled to form three smaller regular hexagons congruent to each other.

problem

Favourite

Board block challenge

Age

7 to 11

Challenge level

Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?

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?

problem

Favourite

Baby circle

Age

16 to 18

Challenge level

A small circle fits between two touching circles so that all three circles touch each other and have a common tangent? What is the exact radius of the smallest circle?

problem

Favourite

What shape?

Age

7 to 14

Challenge level

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.

problem

Favourite

Blue and white

Age

11 to 14

Challenge level

Identical squares of side one unit contain some circles shaded blue. In which of the four examples is the shaded area greatest?

problem

Favourite

Shapely pairs

Age

11 to 14

Challenge level

A game in which players take it in turns to turn up two cards. If they can draw a triangle which satisfies both properties they win the pair of cards. And a few challenging questions to follow...

problem

Favourite

Quad match

Age

7 to 11

Challenge level

A task which depends on members of the group noticing the needs of others and responding.

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For younger learners

2D shapes and their properties

Chain of changes

2 rings

Hex

Board block challenge

Jig shapes

Baby circle

What shape?

Blue and white

Shapely pairs

Quad match