Algebra and Number Problem (With Hint)

Problem-Solving and Selected Topics in Number Theory: In the Spirit of the Mathematical Olympiads

1. For every positive integers n ,

 divisible by 2000. Proof it.

Hint: 2000 = 125 x 16

2. If

 Find a x b x c x d

Hint: a is integer part of 57/17

Math Olympiad Example Problem for K9

1.     ABC is a right triangle with <ACB= 74° and AM=MQ=QP. Find <QPB. 

math olympiad example problem

2.   How many positive integer n , if n-1 is the factor for 3n-6

3.   <A=60^o and the radius of big circle is 6. Find the radius of small circle.

math olympiad example problem

Singapore Math Olympiad (SMO) 2011

Competition Math for Middle School

One of Mathematical Olympiad competition in south east Asia. The current name Singapore Mathematical Olympiad is held for Junior, Senior and Open. For 2011, the Singapore Mathematical Olympiad schedule is:

Example problems:




Singapore National Mathematical Olympiad 2010

See also:
SMO
Art of Problem Solving

Canadian Math Olympiad

canadian math olympiad

Resource, problem and sample of solution for competitors see http://www.math.ca/Competitions/CMO/%20 .