Library / UKMT Senior Mathematical Challenge /64 of 212

UKMT Senior Mathematical Challenge, 2023

Algebra Difficulty 2.0 Junior Find the answer United Kingdom

What is the value of $99(0.\dot{4}\dot{9} - 0.\dot{4})$ ?

(A) $5$ (B) $4$ (C) $3$ (D) $2$ (E) $1$

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.