Area - squares and rectangles

problem
The square under the hypotenuse

Age

14 to 16

Challenge level

Can you work out the side length of a square that just touches the hypotenuse of a right angled triangle?
problem
Completing quadrilaterals

Age

11 to 14

Challenge level

We started drawing some quadrilaterals - can you complete them?
problem
11x11 square

Age

11 to 16

Challenge level

Here's a neat trick you can do with an 11 by 11 square...
problem
Perimeter challenge

Age

11 to 14

Challenge level

Can you deduce the perimeters of the shapes from the information given?
problem
Ribbon squares

Age

7 to 11

Challenge level

What is the largest 'ribbon square' you can make? And the smallest? How many different squares can you make altogether?
problem
Cover the tray

Age

7 to 11

Challenge level

These practical challenges are all about making a 'tray' and covering it with paper.
problem
Shape draw

Age

7 to 11

Challenge level

Use the information on these cards to draw the shape that is being described.
problem
Through the window

Age

7 to 11

Challenge level

My local DIY shop calculates the price of its windows according to the area of glass and the length of frame used. Can you work out how they arrived at these prices?
game
Favourite

Dicey perimeter, dicey area

Age

7 to 11

Challenge level

In this game for two players, you throw two dice and find the product. How many shapes can you draw on the grid which have that area or perimeter?
problem
Fencing

Age

7 to 11

Challenge level

Arrange your fences to make the largest rectangular space you can. Try with four fences, then five, then six etc.