Maths Olympiad Prep

Library / /46 of 175

, 2016

Number theory Difficulty 1.0 Junior Find the answer United Kingdom

How many of these four expressions are perfect squares? 13+231^3+2^3, 13+23+331^3+2^3+3^3, 13+23+33+431^3+2^3+3^3+4^3, 13+23+33+43+531^3+2^3+3^3+4^3+5^3

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

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.