Maths Olympiad Prep

Library / /98 of 175

, 2016

Number theory Difficulty 1.0 Junior Find the answer United Kingdom

One of the three symbols ++, -, ×\times is inserted somewhere between the digits of 20162016 to give a new number. For example, 201620 - 16 gives 44. How many of the following four numbers can be obtained in this way? 3619520732036 \quad 195 \quad 207 \quad 320

(A) 00 (B) 11 (C) 22 (D) 33 (E) 44

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.