Maths Olympiad Prep

Library / /106 of 149

, 2024

Number theory Difficulty 2.0 Junior Find the answer United Kingdom

Every day Freya writes down the date in her diary and calculates the sum of the digits she writes. For example, on 11th June, she writes 11/06 and calculates 1+1+0+6=81 + 1 + 0 + 6 = 8. What is the largest daily sum she calculates over the course of a year?

(A) 88 (B) 1313 (C) 1616 (D) 2020 (E) 2323

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.