Math Kangaroo USA
International Competition in Mathematics
for K-12 students

Login  |    Registration  |    Donate

Lines

Lines

Solution:

The secret to solving this puzzle, and others like it, is to challenge your assumptions.

At first glance, the grid seems to form a strict boundary. It’s natural to think you have to keep all your lines inside the square, but that’s the trick! The puzzle never says you must stay within the grid.

To solve it, you need to extend your lines outside the box. By drawing beyond the visible points, you unlock a path that lets you connect everything with fewer lines. It’s a classic example of what it means to truly “think outside the box.”

Here is the solution: