Maths Olympiad Prep

Library / /21 of 99

, 2016

Algebra Difficulty 2.0 Junior Prove it United Kingdom

Both rows of the following grid have the same sum. What is the value of *? Row 1: 1,2,3,4,5,6,7,8,9,10,10501, 2, 3, 4, 5, 6, 7, 8, 9, 10, 1050. Row 2: 11,12,13,14,15,16,17,18,19,20,11, 12, 13, 14, 15, 16, 17, 18, 19, 20, *.

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.