Maths Olympiad Prep

Library / /59 of 122

, 2022

Algebra Difficulty 2.0 Junior Find the answer United Kingdom

The villages PP, QQ, RR and SS are situated, not necessarily in that order, on a long straight road. The distance from PP to RR is 75 km, the distance from QQ to SS is 45 km and the distance from QQ to RR is 20 km. Which of the following could not be the distance, in km, from PP to SS?

(A) 1010 (B) 5050 (C) 8080 (D) 100100 (E) 140140

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.