National Mathematics Olympiad Preparation

National Math Olympiad is the second phase of Bangladesh Mathematical Olympiad. Each year, the regional winners from all over the country compete at the National Olympiad. National Olympiad is comparatively harder than the divisional rounds. Usually students of secondary and higher secondary category attend an exam of four and a half hours. For Junior and Primary group, it is 3 and 2 hours respectively.

Preparing for the National Olympiad takes a lot of efforts. You must have a solid grasp of some basic problem solving skills. In this note, I'll be talking about category-wise preparation.

Junior, Secondary and Higher Secondary

Juniors, first go through all the math textbooks of high school, and learn any basic algebra you don’t know. Here are some useful books that you can follow to prepare your best for the NMO.

Geometry

Theory And Exercise Books

1. The two Geometry text books of Class 9-10. These two books have very rich content and very good for starting geometry.

2. Geometry Revisited, Bengali translated version available as ‘জ্যামিতির দ্বিতীয়পাঠ’

Problem Book
1. Geometry Camp 2009 Problem Set.
You can download the problem set from here.

Number Theory

Theory Books  
1. Number Theory by S G Telang.
2. Number Theory By Marie A Jones And  Joseph A Jones.

Problem Book 
1. 104 Number Theory Problems

Combinatorics
1. A Path To Combinatorics For  Undergraduates.
(Don't worry if you have little background in Combinatorics, this book will help you a lot)

Miscellaneous Excellent Books
1. An Excursion in  Mathematics.
2. The Art and Craft of Problem Solving.

বাংলা বই
১। অলিম্পিয়াড সমগ্র
২।যারা গনিত অলিম্পিয়াডেযাবে
৩। বহুপথে পিথাগোরাস ওঅন্যান্য সমস্যা
৪।প্রাণের মাঝে গণিত বাজে (জ্যামিতির জন্য ভালবাসা)
৫। বাংলাদেশ গণিতঅলিম্পিয়াডের প্রশ্ন

Online Resources

1. We have our own online forum here. Meet and discuss problems with math enthusiasts of all over the country here. There is even a sub forum for National Olympiad.

2. Have a look here for various math Olympiad books reviews, links, notes etc. 

3. To begin number theory, have a look at this note. It contains some typos, I’ll try to upload the edited version soon.

Contributor
Mutasim Mim.
Mathematics Intern.
Honorable Mention, International Mathematics Olympiad 2014.