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		<title>Maths Olympiad 2011</title>
		<link>http://jerinphilip.wordpress.com/2011/11/26/maths-olympiad-2011/</link>
		<comments>http://jerinphilip.wordpress.com/2011/11/26/maths-olympiad-2011/#comments</comments>
		<pubDate>Sat, 26 Nov 2011 17:59:12 +0000</pubDate>
		<dc:creator>Jerin</dc:creator>
				<category><![CDATA[Competitions]]></category>
		<category><![CDATA[olympiad]]></category>
		<category><![CDATA[maths]]></category>
		<category><![CDATA[sahodaya]]></category>

		<guid isPermaLink="false">http://jerinphilip.wordpress.com/?p=168</guid>
		<description><![CDATA[I was one of the unlucky chaps from my school who got selected for the Sahodaya Mathematics Olympiad 2011. I had taken part in the olympiad in the junior category, when I was in 9th standard. This was the 2nd &#8230; <a href="http://jerinphilip.wordpress.com/2011/11/26/maths-olympiad-2011/">Continue reading <span class="meta-nav">&#8594;</span></a><img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=jerinphilip.wordpress.com&amp;blog=14215431&amp;post=168&amp;subd=jerinphilip&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
			<content:encoded><![CDATA[<p>I was one of the unlucky chaps from my school who got selected for the <a title="Sahodaya" href="http://sahodayank.org/index.htm" target="_blank">Sahodaya</a> Mathematics Olympiad 2011. I had taken part in the olympiad in the junior category, when I was in 9th standard. This was the 2nd time I&#8217;m attending the olympiad. The sahodaya people refer to the olympiad sometimes as a Math Quiz, which I really hate.</p>
<p>The following were the questions I had to answer in this years olympiad:</p>
<ol>
<li>In a convex quadrilateral PQRS, PQ = RS, ( √ 3 +1)QR = SP and ∠RSP &#8211; ∠SPQ = 30°. Find ∠PQR &#8211; ∠QRS.</li>
<li>If a, b, c are the sides of a triangle, prove the inquality:<br />
<a href="http://jerinphilip.files.wordpress.com/2011/11/msp61519i6269fgchebah000005g6582f32gacd0if.gif"><img class="aligncenter size-full wp-image-170" title="Triangle Inequality" src="http://jerinphilip.files.wordpress.com/2011/11/msp61519i6269fgchebah000005g6582f32gacd0if.gif?w=640" alt="Triangle Inequality"   /></a></li>
<li>Solve the equation:<br />
<a href="http://jerinphilip.files.wordpress.com/2011/11/msp52919i625dddhhhdh9200003chd07afi0b42e4h.gif"><img class="aligncenter size-full wp-image-171" title="Solve" src="http://jerinphilip.files.wordpress.com/2011/11/msp52919i625dddhhhdh9200003chd07afi0b42e4h.gif?w=640" alt="Solve the Equation"   /></a></li>
<li>Consider the sequence 9, 16, 29, 54, 103, &#8230;.. Find the sum of the first 50 terms of the sequence.</li>
<li>If: <a href="http://jerinphilip.files.wordpress.com/2011/11/msp61319i6284169c2c8h80000183h2gbgbdeg0916.gif"><img class="aligncenter size-full wp-image-174" title="5.1" src="http://jerinphilip.files.wordpress.com/2011/11/msp154819i62641effcb8d600005h71g91a38768d3e.gif?w=640" alt="5.1"   /></a><a href="http://jerinphilip.files.wordpress.com/2011/11/msp50719i627fie6298c4a00005540c2d05824g557.gif"><img class="aligncenter size-full wp-image-172" title="5.2" src="http://jerinphilip.files.wordpress.com/2011/11/msp50719i627fie6298c4a00005540c2d05824g557.gif?w=640" alt="5.2"   /></a>Then prove that:<a href="http://jerinphilip.files.wordpress.com/2011/11/msp61319i6284169c2c8h80000183h2gbgbdeg0916.gif"><img class="aligncenter size-full wp-image-173" title="5.3" src="http://jerinphilip.files.wordpress.com/2011/11/msp61319i6284169c2c8h80000183h2gbgbdeg0916.gif?w=640" alt="5.3"   /></a></li>
</ol>
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			<media:title type="html">Monu</media:title>
		</media:content>

		<media:content url="http://jerinphilip.files.wordpress.com/2011/11/msp61519i6269fgchebah000005g6582f32gacd0if.gif" medium="image">
			<media:title type="html">Triangle Inequality</media:title>
		</media:content>

		<media:content url="http://jerinphilip.files.wordpress.com/2011/11/msp52919i625dddhhhdh9200003chd07afi0b42e4h.gif" medium="image">
			<media:title type="html">Solve</media:title>
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			<media:title type="html">5.1</media:title>
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			<media:title type="html">5.2</media:title>
		</media:content>

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			<media:title type="html">5.3</media:title>
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