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Old April 23rd, 2014, 12:51 PM
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Will you please provide me the previous year Question paper of Regional Mathematics Olympiad???

Regional Mathematics Olympiad is the first stage for the bigger picture of International Mathematical Olympiad.

Paper Pattern
-The question paper is based on numerical format, with the each of the question containing a long numerical solution.
-The total number of question appearing in the paper varies from six to seven, though six is usually the number.
-The total time duration of the question paper is three hours. Students who are from class IX-XI can appear for the exam.
-The Questions are comparatively tough with each section of mathematics been offered
-The Question Paper only contains Long Solution type questions with or without alternative solutions to each of them.

Maths Olympiad Previous year Questions











Last edited by Aakashd; June 25th, 2019 at 05:13 PM.
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  #2  
Old February 21st, 2015, 11:31 AM
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Default Re: Maths Olympiad Previous year Questions

Here I am providing the list of few questions of Regional Mathematical Olympiad exam question paper which you are looking for .

1. Let AC be a line segment in the plane and B a point between A and C. Construct isosceles
triangles PAB and QBC on one side of the segment AC such that \APB = \BQC = 120◦
and an isosceles triangle RAC on the otherside of AC such that \ARC = 120◦. Show
that PQR is an equilateral triangle.

2. Solve the equation y3 = x3 + 8x2 − 6x + 8, for positive integers x and y.

4.All the 7-digit numbers containing each of the digits 1, 2, 3, 4, 5, 6, 7 exactly once, and not
divisible by 5, are arranged in the increasing order. Find the 2000-th number in this list.

For more questions , here is the attachment

Regional Mathematical Olympiad exam question paper




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Last edited by Aakashd; August 2nd, 2018 at 12:03 PM.
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Old October 20th, 2015, 11:46 AM
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Default Re: Maths Olympiad Previous year Questions

As here I am looking for the Regional Mathematical Olympiad Exam Question Paper so can you please provide me this?
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Old October 20th, 2015, 11:49 AM
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Default Re: Maths Olympiad Previous year Questions

Well, as you want to get the Regional Mathematical Olympiad Exam Question Paper so here I am sharing this with you

1. Three positive real numbers a, b, c are such that a 2 + 5b 2 + 4c 2 − 4ab − 4bc = 0. Can a, b, c be the lengths of the sides of a triangle? Justify your answer.

Solution
No. Note that a 2 + 5b 2 + 4c 2 − 4ab − 4bc = (a − 2b) 2 + (b − 2c) 2 = 0 ⇒ a : b : c = 4 : 2 : 1 ⇒ b + c : a = 3 : 4. The triangle inequality is violated.

2. The roots of the equation x 3 − 3ax2 + bx + 18c = 0 form a non-constant arithmetic progression and the roots of the equation x 3 + bx2 + x − c 3 = 0 form a non-constant geometric progression.
Given that a, b, c are real numbers, find all positive integral values of a and b.


Regional Mathematical Olympiad Exam Question Paper



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Last edited by Aakashd; August 2nd, 2018 at 12:03 PM.
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