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Number theory Difficulty 2.0 Junior Prove it United Kingdom

All three-digit positive integers whose digit sum is 5 are listed in ascending order. What is the median of this list?

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.