Maths Olympiad Prep

Library / /123 of 175

, 2020

Combinatorics Difficulty 2.0 Junior Find the answer United Kingdom

A group of 4242 children all play tennis or football, or both sports. The same number play tennis as play just football. Twice as many play both tennis and football as play just tennis. How many of the children play football?

(A) 77 (B) 1414 (C) 2121 (D) 2828 (E) 3535

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.