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### Sine of angle is the half chord – a Geogebra animation

Sine of an angle, half chord and vertical projection Note that half chord corresponding to a half arc is same …

### Triangles on a Sphere

PROBLEM Suppose the earth is a perfect sphere. You are on its surface at point A. First, you walk 1 …

### Combinatorial Argument 2 – another problem from I.S.I. & C.M.I. Entrance

You may want to look into the first part

### Almost Mersenne Primes (RMO 2017 Problem 2 India Goa Region Part 1)

The central theme of the thousand flowers program is: connected ideas and connected problems. We will illustrate the idea using …

### RMO 2017 Goa-Maharashtra

$$\ 1$$.($$\ 16$$ marks)Consider a chessboard of size $$\ 8$$ units$$\ \times8$$ units (i.e., each small square on the board …

Looking for just the problems? Download the PDF here.   Let AOB be a given angle less than \( 180^o …

### RMO 2002 Problem 1 – Ceva’s Theorem

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