Maths Olympiad Prep

Library / /97 of 122

, 2019

Number theory Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

Chloe chose a three-digit integer with all its digits different and wrote it on lots of pieces of paper. Peter picked some of the pieces of paper and added the three-digit integers on them. His answer was 23312331. How many pieces of paper did Peter pick?

(A) 23312331 (B) 2121 (C) 99 (D) 77 (E) 33

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.