Library / UKMT Mathematical Olympiad for Girls /26 of 31

UKMT Mathematical Olympiad for Girls, 2022

Number theory Difficulty 3.0 AMC 10/12 Prove it United Kingdom

If $x$ is a positive integer with $f(x) = 3$ , find the possible values of $f(2x)$ .

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.