Maths Olympiad Prep

Library / UKMT Senior Mathematical Challenge /14 of 212

UKMT Senior Mathematical Challenge, 2025

Algebra Difficulty 1.0 Junior Find the answer United Kingdom

What is 252−242−232+22225^2 - 24^2 - 23^2 + 22^2?

(A) 00 (B) 11 (C) 22 (D) 33 (E) 44

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.