You may also like

problem icon

Doodles

Draw a 'doodle' - a closed intersecting curve drawn without taking pencil from paper. What can you prove about the intersections?

problem icon

Russian Cubes

I want some cubes painted with three blue faces and three red faces. How many different cubes can be painted like that?

problem icon

Picture Story

Can you see how this picture illustrates the formula for the sum of the first six cube numbers?

Triangular Intersection

Age 14 to 16 Short Challenge Level:


The triangle and the quadrilateral in the diagram below have 4 intersection points.

What is the largest number of intersection points that a triangle and a quadrilateral can have?


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