2D shapes and their properties

problem

Gold yet Again

Age

16 to 18

Challenge level

Nick Lord says "This problem encapsulates for me the best features of the NRICH collection."
problem

Shapes in the Alphabet

Age

5 to 7

Challenge level

In this problem, we're going to find sets of letter shapes that go together.
problem

Logic Block Collections

Age

5 to 7

Challenge level

What do you think is the same about these two Logic Blocks? What others do you think go with them in the set?
problem

Opening Patterns

Age

5 to 7

Challenge level

Look at some of the patterns in the Olympic Opening ceremonies and see what shapes you can spot.
problem

Curve Spotting

Age

5 to 7

Challenge level

Can you spot circles, spirals and other types of curves in these photos?
problem

Rectangles With Dominoes

Age

5 to 7

Challenge level

Can you make a rectangle with just 2 dominoes? What about 3, 4, 5, 6, 7...?
problem

Making Shapes

Age

5 to 7

Challenge level

Arrange any number of counters from these 18 on the grid to make a rectangle. What numbers of counters make rectangles? How many different rectangles can you make with each number of counters?
problem

Mrs Trimmer's String

Age

5 to 7

Challenge level

Can you help the children in Mrs Trimmer's class make different shapes out of a loop of string?
problem

Same Shapes

Age

5 to 7

Challenge level

How can these shapes be cut in half to make two shapes the same shape and size? Can you find more than one way to do it?
problem

Two by One

Age

7 to 11

Challenge level

An activity making various patterns with 2 × 1 rectangular tiles.