Maths Olympiad Prep

Library / /11 of 53

, 2008

Algebra Difficulty 2.0 Junior Prove it Canada

For numbers aa and bb, the notation aba\nabla b means 2a+b2+ab2a + b^2 + ab. For example, 12=2(1)+22+(1)(2)=81\nabla 2 = 2(1) + 2^2 + (1)(2) = 8.

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.