You may also like

problem icon

Square Areas

Can you work out the area of the inner square and give an explanation of how you did it?

problem icon

Kissing Triangles

Determine the total shaded area of the 'kissing triangles'.

problem icon

Hallway Borders

What are the possible dimensions of a rectangular hallway if the number of tiles around the perimeter is exactly half the total number of tiles?

Dividing a Square

Age 11 to 14 Short Challenge Level:
Three lines have been drawn from the centre of this square to split it into two congruent trapezia and a pentagon.



The side length of the square is 1, and the areas of the three shapes are all equal.

What is the length $x$?



This problem is adapted from the World Mathematics Championships
You can find more short problems, arranged by curriculum topic, in our short problems collection.