Library / /27 of 61

, 2016

Geometry Difficulty 2.0 Junior Prove it United Kingdom

The points $A$ , $B$ , $C$ , $D$ and $E$ lie in that order along a straight line so that $AB : BC = 1:2$ , $BC : CD = 1:3$ and $CD : DE = 1:4$ . What is $AB : BE$ ?

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.