Training Problems Set 1

As we promised, here is the first set of training problems. Bear in mind that the problems are aimed at people who will be attending the January camp, so the difficulty may be much higher than the monthly problems. 

To the campers who still have exams: your exams, of course, are the first priorities, but we recommend you to save some time to practice for the British Maths Olympiad as this, sat at the end of the month, is important for squad selection!

The second set and the solutions to the first set will be released next week. In a mean time, enjoy the problems!

(P.S. if you need any help regarding hints or clarifications, email us at nzmosa@outlook.com. Because this is just a learning material, not a competition, we will distribute hints and solutions on request)