Library / UKMT Intermediate Mathematical Challenge /47 of 267

UKMT Intermediate Mathematical Challenge, 2020

Number theory Difficulty 1.0 Junior Find the answer United Kingdom

One of these options gives the value of $17^2 + 19^2 + 23^2 + 29^2$ . Which is it?

(A) $2004$ (B) $2008$ (C) $2012$ (D) $2016$ (E) $2020$

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.