Library / UKMT Intermediate Mathematical Challenge /175 of 267

UKMT Intermediate Mathematical Challenge, 2024

Geometry Difficulty 2.0 Junior Find the answer United Kingdom

Four of these points lie on a circle. Which of the points does not lie on that circle?

(A) $(5,0)$ (B) $(4,3)$ (C) $(2,2)$ (D) $(3,4)$ (E) $(0,5)$

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.