2D shapes and their properties

problem
Semicircle in a semicircle

Age

14 to 16

Challenge level

The diagram shows two semicircular arcs... What is the diameter of the shaded region?
problem
Oh so circular

Age

14 to 16

Challenge level

The diagram shows two circles and four equal semi-circular arcs. The area of the inner shaded circle is 1. What is the area of the outer circle?
problem
Circle time

Age

14 to 16

Challenge level

Three circles of different radii each touch the other two. What can you deduce about the arc length between these points?
problem
Always, sometimes or never? KS1

Age

5 to 7

Challenge level

Are these statements relating to calculation and properties of shapes always true, sometimes true or never true?
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
Shapely lines

Age

5 to 7

Challenge level

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?
problem
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?
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?