Maths Olympiad Prep

Library / UKMT Senior Kangaroo /113 of 139

UKMT Senior Kangaroo, 2025

Geometry Difficulty 3.0 AMC 10/12 Prove it United Kingdom

Three squares are shown in the picture. The area of the smallest square is 99, and the area of the middle-sized square is 8181. What is the area of the largest square?

Figure for this problem

We don't reproduce this publisher's solutions. Their own solution is here — work the problem first.
Want a route through all this instead of an archive? The track puts 2,604 problems in a working order, from Junior Challenge level to the IMO shortlist.

Source: UK Mathematics Trust, licensed © UK Mathematics Trust; past papers published free at ukmt.org.uk. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.