Library / UKMT Junior Mathematical Challenge /84 of 274

UKMT Junior Mathematical Challenge, 2018

Algebra Difficulty 1.0 Junior Find the answer United Kingdom

Adding four of the five fractions $\frac{1}{2}$ , $\frac{1}{3}$ , $\frac{1}{6}$ , $\frac{1}{9}$ and $\frac{1}{18}$ gives a total of $1$ . Which of the fractions is not used?

(A) $\frac{1}{2}$ (B) $\frac{1}{3}$ (C) $\frac{1}{6}$ (D) $\frac{1}{9}$ (E) $\frac{1}{18}$

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.