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Mathematical Olympiad for Girls

The 2016 UK Mathematical Olympiad for Girls (MOG), will take place on Tuesday 11th October. Entries will be taken online in the autumn term.

Here are sample question paper and solutions:

The UK MOG continues to go from strength to strength, from small beginnings in 2011 which saw only 155 entries, to over 2,000 entries from throughout the UK in 2014 and 2015. We hope through MOG to encourage and inspire as many girls as possible to get involved in advanced mathematical problem solving. However some students can be discouraged from taking part in subsequent activities if they have a negative experience through sitting an Olympiad paper when they are not ready for it.

We recommend that students who are entered for MOG will probably already have achieved some success at UKMT follow-on rounds or in the mentoring schemes, and are confident mathematicians. Whilst we do allow entries from younger girls, MOG is aimed at girls in Year 11 (and equivalent) and above. To give some indication of the type of questions involved, there are some online MOG past papers and we encourage all interested students to attempt some of these before entering the competition, as Olympiad questions may be different in style to anything they have previously attempted. The paper contains five questions to be answered in two and a half hours.

Entry to the competition is free of charge.

MOG also forms part of the process to identify potential squad members for the annual European Girls' Mathematical Olympiad and other international competitions. Therefore, students should be eligible to be part of the UK team (either eligible for a UK passport describing them as a British Citizen, or will have completed 3 full years of full-time secondary education in the UK by the time they leave school).

EGMO16 press release by the sponsor of the UK EGMO team, Man Group.

Try Question 3 from MOG 2014:

"A large whiteboard has 2014 + signs and 2015 - signs written on it. You are allowed to delete two of the symbols and replace them according to the following two rules.

  • i) If the two deleted symbols are the same, then replace them by +.
  • ii) If the two deleted symbols are different, then replace them by -.

You repeat this until there is only one symbol left. Which symbol is it?"

Here's the solution

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