EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 13 - Polygon>IOQM - PRMO and RMO 2020>Q 2

EASY

IOQM - PRMO and RMO

IMPORTANT

Earn 100

Two sides of a regular polygon with $n$ sides, when extended, meet at an angle of $28 ° .$ What is the smallest possible value of $n$ ?

50% studentsanswered this correctly

Important Questions on Polygon

HARD

IOQM - PRMO and RMO

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 13 - Polygon>IOQM - PRMO and RMO 2019 (11-08-2019)>Q 3

From a square with sides of length

5,

triangular pieces from the four corners are removed to form a regular octagon. Find the area removed to the nearest integer?

HARD

IOQM - PRMO and RMO

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 13 - Polygon>IOQM - PRMO and RMO 2019 (25-08-2019)>Q 4

Let

t

be the area of a regular pentagon with each side equal to

1 .

Let

P (x) = 0

be the polynomial equation with least degree, having integer coefficients, satisfied by

x = t

and the

gcd

of all the coefficients equal to

1 .

If

M

is the sum of the absolute values of the coefficients of

P (x) .

What is the integer closest to

\sqrt{M} ? [\sin 18 ° = (\frac{\sqrt{5} - 1}{4})]

HARD

IOQM - PRMO and RMO

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 13 - Polygon>IOQM - PRMO and RMO 2018>Q 5

A point

P

in the interior of a regular hexagon is at distance

8, 8, 16

units from three consecutive vertices of the hexagon, respectively. If

r

is radius of the circumscribed circle of the hexagon, what is the integer closest to

r ?