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## Functional Equation Problem from SMO, 2018 – Question 35

Try to solve this problem number 35 from Singapore Mathematics Olympiad, SMO, 2018 based on Functional Equation. Problem – Functional Equation (SMO Entrance) Consider integers ${1,2, \ldots, 10}$. A particle is initially -at 1 . It moves to an adjacent integer...

## Application of Pythagoras Theorem | SMO, 2010 | Problem 22

Try this problem from the Singapore Mathematics Olympiad, SMO, 2010 based on the application of the Pythagoras Theorem. Application of Pythagoras Theorem- (SMO Test) The figure below shows a circle with diameter AB. C ad D are points on the circle on the same side of...

## Functional Equations Problem | SMO, 2012 | Problem 33

Try this beautiful Problem from Singapore Mathematics Olympiad, 2012 based on Functional Equations. Problem – Functional equations (SMO Test) Let L denote the minimum value of the quotient of a 3- digit number formed by three distinct divided by the sum of its...