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?
list
Being curious - Primary measures

Age

5 to 11

Challenge level

Measure problems for inquiring primary learners.
list
Being collaborative - Primary measures

Age

5 to 11

Challenge level

Measure problems for primary learners to work on with others.
list
Being resilient - Primary measures

Age

5 to 11

Challenge level

Measure problems at primary level that may require resilience.
list
Being resourceful - Primary measures

Age

5 to 11

Challenge level

Measure problems at primary level that require careful consideration.
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.