Maths Olympiad Prep

Library / CEMC Cayley /25 of 470

CEMC Cayley, 2005

Algebra Difficulty 1.0 Junior Find the answer Canada

A teacher writes five different possible values for (52−42)3(5^2 - 4^2)^3 on the board and asks her class to decide which is correct. The correct value is

(A) 11 (B) 88 (C) 11 52911\,529 (D) 216216 (E) 729729

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: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.