The Buried Cable Problem: A Community-wide Challenge
Our students tackle complex problems every day in our classrooms. Now, we’re turning the tables and inviting you to show us how it’s done!
Our Maths Department is thrilled to launch a community-wide challenge that puts your problem-solving skills to the test. We’re calling all hidden maths geniuses, logical thinkers, and puzzle lovers—this one’s for you!
The brief: Imagine a perfectly square field, measuring 1 km by 1 km. Buried somewhere beneath it is a straight electrical cable that runs in a line from one side of the field to another. The cable could be positioned in any direction and could start and end on any of the four sides.
The farmer's goal is to find this cable by digging trenches. He doesn't need to uncover its entire length, just to intercept it at one point.
What is the shortest total length of trenches the farmer can dig, following a predetermined pattern, that guarantees he will find the cable, no matter where it is located?
How to Participate
- Find the Problem: The "Buried Cable Problem" awaits! Click the link below to view the details
- Solve It: Put your thinking cap on. Work on it alone, or make it a fun family activity over the dinner table.
- Submit Your Solution: Enter your answer through our official submission form.
