The Mathsbombe Competition

2026 edition. From the people behind the Alan Turing Cryptography Competition.
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Problem 1

A circus performance includes a tightrope act with 25 performers. The act begins by each performer taking their positions on the tightrope, and when the music starts, they each start walking along the rope in a direction of their choice. When two performers meet on the tightrope, they both turn and start walking in opposite directions. When a tightrope walker reaches the end of the rope, they step off to the platform.

At most how many turns did the tightrope walkers take altogether throughout the performance?

To deter guessing without thinking, we ask that you also solve the following simple arithmetic problem before checking your answer:

What is seven multiplied by nine, subtract eight?  

This problem was first solved on Wed 21st January at 4:03:32pm
Mathsbombe Competition 2026 is organised by the The Department of Mathematics at The University of Manchester.
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