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&lt;p&gt;The NRICH weekly challenges are aimed at Post-16 students to provide an interesting, shorter challenge to try out each week which will fit around any usual course of study. Each challenge is designed to be simple to get into and to cover an important and intriguing area of mathematics. Each challenge has links to further reading and other problems for the interested student/class. Many of the
challenges will contain extension tasks (which might be much more difficult than the main challenge!) and you might be inspired to extend the tasks yourself with &amp;#39;What if?&amp;#39; questions.&lt;br&gt;&lt;/br&gt;
&lt;br&gt;&lt;/br&gt;
How many will you solve?&lt;br&gt;&lt;/br&gt;
 &lt;/p&gt;
&lt;h3&gt;The Challenges&lt;/h3&gt;
&lt;br&gt;&lt;/br&gt;
&lt;div id=&quot;wc0&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 0: &lt;a href=&quot;http://nrich.maths.org/5986&quot;&gt;Weekly Challenges are here!&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc1&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 1: &lt;a href=&quot;http://nrich.maths.org/7105&quot;&gt;Inner Inequality&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc2&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 2: &lt;a href=&quot;http://nrich.maths.org/7041&quot;&gt;Quad Solve&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc3&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 3: &lt;a href=&quot;http://nrich.maths.org/7052&quot;&gt;Geometric Trig&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc4&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 4: &lt;a href=&quot;http://nrich.maths.org/7032&quot;&gt;Top Marks&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc5&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 5: &lt;a href=&quot;http://nrich.maths.org/7063&quot;&gt;Trigger&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc6&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 6: &lt;a href=&quot;http://nrich.maths.org/7097&quot;&gt;AP train&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc7&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 7: &lt;a href=&quot;http://nrich.maths.org/7060&quot;&gt;Gradient Match&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc8&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 8: &lt;a href=&quot;http://nrich.maths.org/7292&quot;&gt;Sixinit&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc9&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 9: &lt;a href=&quot;http://nrich.maths.org/7040&quot;&gt;Quick Sum&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc10&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 10: &lt;a href=&quot;http://nrich.maths.org/7038&quot;&gt;Solve me!&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc11&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 11: &lt;a href=&quot;http://nrich.maths.org/7051&quot;&gt;Unit Interval&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc12&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 12: &lt;a href=&quot;http://nrich.maths.org/7053&quot;&gt;Venn Diagram Fun&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc13&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 13: &lt;a href=&quot;http://nrich.maths.org/7055&quot;&gt;Comet Catastrophe&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc14&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 14: &lt;a href=&quot;http://nrich.maths.org/7056&quot;&gt;Mad Robot&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc15&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 15: &lt;a href=&quot;http://nrich.maths.org/7037&quot;&gt;Indexing Problems&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc16&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 16: &lt;a href=&quot;http://nrich.maths.org/7291&quot;&gt;Archimedes Numerical Roots&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc17&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 17: &lt;a href=&quot;http://nrich.maths.org/7039&quot;&gt;Power Stack&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc18&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 18: &lt;a href=&quot;http://nrich.maths.org/7036&quot;&gt;The root of the problem&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc19&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 19: &lt;a href=&quot;http://nrich.maths.org/7054&quot;&gt;Prime APs&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc20&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 20: &lt;a href=&quot;http://nrich.maths.org/7368&quot;&gt;The Olympic LOGO&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc21&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 21: &lt;a href=&quot;http://nrich.maths.org/7050&quot;&gt;Trig Identity&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc22&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 22: &lt;a href=&quot;http://nrich.maths.org/7474&quot;&gt;Combinations of Two&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc23&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 23: &lt;a href=&quot;http://nrich.maths.org/7475&quot;&gt;Stand up Arcs&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc24&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 24: &lt;a href=&quot;http://nrich.maths.org/6970&quot;&gt;Suspicious Integrator&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc25&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 25: &lt;a href=&quot;http://nrich.maths.org/7059&quot;&gt;Trig Trig Trig&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc26&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 26: &lt;a href=&quot;http://nrich.maths.org/7058&quot;&gt;Max Throw&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc27&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 27: &lt;a href=&quot;http://nrich.maths.org/7066&quot;&gt;Cubic roots&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc28&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 28: &lt;a href=&quot;http://nrich.maths.org/6495&quot;&gt;The right volume&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc29&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 29: &lt;a href=&quot;http://nrich.maths.org/7064&quot;&gt;Integral Equation&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc30&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 30: &lt;a href=&quot;http://nrich.maths.org/7091&quot;&gt;Sign of the Times&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc31&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 31: &lt;a href=&quot;http://nrich.maths.org/7042&quot;&gt;Common Divisor&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc32&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 32: &lt;a href=&quot;http://nrich.maths.org/7315&quot;&gt;Medicine Half life&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc33&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 33: &lt;a href=&quot;http://nrich.maths.org/7057&quot;&gt;Crazy Cannons&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc34&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 34: &lt;a href=&quot;http://nrich.maths.org/7293&quot;&gt;Googol&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc35&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 35: &lt;a href=&quot;http://nrich.maths.org/7289&quot;&gt;Clickety Click and All the Sixes&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc36&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 36: &lt;a href=&quot;http://nrich.maths.org/7290&quot;&gt;Seriesly&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc37&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 37: &lt;a href=&quot;http://nrich.maths.org/7061&quot;&gt;Magic Bag&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc38&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 38: &lt;a href=&quot;http://nrich.maths.org/7065&quot;&gt;Numbered Graph&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc39&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 39: &lt;a href=&quot;http://nrich.maths.org/7077&quot;&gt;Symmetrically So&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc40&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 40: &lt;a href=&quot;http://nrich.maths.org/6488&quot;&gt;Normal intersection&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc41&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 41: &lt;a href=&quot;http://nrich.maths.org/7062&quot;&gt;Happy Birthday&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc42&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 42: &lt;a href=&quot;http://nrich.maths.org/6359&quot;&gt;What&amp;#39;s my equation&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc43&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 43: &lt;a href=&quot;http://nrich.maths.org/6322&quot;&gt;A close match&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc44&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 44: &lt;a href=&quot;http://nrich.maths.org/6431&quot;&gt;Prime Counter&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc45&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 45: &lt;a href=&quot;http://nrich.maths.org/6094&quot;&gt;Integral arranging&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc46&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 46: &lt;a href=&quot;http://nrich.maths.org/6531&quot;&gt;The Jabber-notty&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc47&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 47: &lt;a href=&quot;http://nrich.maths.org/7277&quot;&gt;Weird Universes&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc48&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 48: &lt;a href=&quot;http://nrich.maths.org/7411&quot;&gt;Quorum-sensing&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc49&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 49: &lt;a href=&quot;http://nrich.maths.org/7415&quot;&gt;Get in line&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc50&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 50: &lt;a href=&quot;http://nrich.maths.org/7400&quot;&gt;How Old?&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;br&gt;&lt;/br&gt;
&lt;div&gt;We hope that our challenges will stimulate lots of mathematical discussion and activity.&lt;/div&gt;
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&lt;h3&gt;Take me straight to the live weekly challenge!&lt;/h3&gt;
&lt;div id=&quot;lwc50&quot; style=&quot;display: none;&quot;&gt;The live weekly challenge is : &lt;a href=&quot;http://nrich.maths.org/7400&quot;&gt;How old?&lt;/a&gt;&lt;/div&gt;
&lt;div id=&quot;lwc49&quot; style=&quot;display: none;&quot;&gt;The live weekly challenge is : &lt;a href=&quot;http://nrich.maths.org/7415&quot;&gt;Get in line&lt;/a&gt;&lt;/div&gt;
&lt;div id=&quot;lwc48&quot; style=&quot;display: none;&quot;&gt;The live weekly challenge is : &lt;a href=&quot;http://nrich.maths.org/7411&quot;&gt;Quorum-sensing&lt;/a&gt;&lt;/div&gt;
&lt;div id=&quot;lwc47&quot; style=&quot;display: none;&quot;&gt;The live weekly challenge is : &lt;a href=&quot;http://nrich.maths.org/7277&quot;&gt;Weird Universes&lt;/a&gt;&lt;/div&gt;
&lt;div id=&quot;lwc46&quot; style=&quot;display: none;&quot;&gt;The live weekly challenge is : &lt;a href=&quot;http://nrich.maths.org/6531&quot;&gt;The Jabber-notty&lt;/a&gt;&lt;/div&gt;
&lt;div id=&quot;lwc45&quot; style=&quot;display: none;&quot;&gt;The live weekly challenge is : &lt;a href=&quot;http://nrich.maths.org/6094&quot;&gt;Integral arranging&lt;/a&gt;&lt;/div&gt;
&lt;div id=&quot;lwc44&quot; style=&quot;display: none;&quot;&gt;The live weekly challenge is : &lt;a href=&quot;http://nrich.maths.org/6431&quot;&gt;Prime Counter&lt;/a&gt;&lt;/div&gt;
&lt;div id=&quot;lwc43&quot; style=&quot;display: none;&quot;&gt;The live weekly challenge is : &lt;a href=&quot;http://nrich.maths.org/6322&quot;&gt;A close match&lt;/a&gt;&lt;/div&gt;
&lt;div id=&quot;lwc42&quot; style=&quot;display: none;&quot;&gt;The live weekly challenge is : &lt;a href=&quot;http://nrich.maths.org/6359&quot;&gt;What&amp;#39;s my equation&lt;/a&gt;&lt;/div&gt;
&lt;div id=&quot;lwc41&quot; style=&quot;display: none;&quot;&gt;The live weekly challenge is : &lt;a href=&quot;http://nrich.maths.org/7062&quot;&gt;Happy Birthday&lt;/a&gt;&lt;/div&gt;
&lt;div id=&quot;lwc40&quot; style=&quot;display: none;&quot;&gt;The live weekly challenge is : &lt;a href=&quot;http://nrich.maths.org/6488&quot;&gt;Normal intersection&lt;/a&gt;&lt;/div&gt;
&lt;div id=&quot;lwc39&quot; style=&quot;display: none;&quot;&gt;The live weekly challenge is : &lt;a href=&quot;http://nrich.maths.org/7077&quot;&gt;Symmetrically So&lt;/a&gt;&lt;/div&gt;
&lt;div id=&quot;lwc38&quot; style=&quot;display: none;&quot;&gt;The live weekly challenge is : &lt;a href=&quot;http://nrich.maths.org/7065&quot;&gt;Numbered Graph&lt;/a&gt;&lt;/div&gt;
&lt;div id=&quot;lwc37&quot; style=&quot;display: none;&quot;&gt;The live weekly challenge is : &lt;a href=&quot;http://nrich.maths.org/7061&quot;&gt;Magic Bag&lt;/a&gt;&lt;/div&gt;
&lt;div id=&quot;lwc36&quot; style=&quot;display: none;&quot;&gt;The live weekly challenge is : &lt;a href=&quot;http://nrich.maths.org/7290&quot;&gt;Seriesly&lt;/a&gt;&lt;/div&gt;
&lt;div id=&quot;lwc35&quot; style=&quot;display: none;&quot;&gt;The live weekly challenge is : &lt;a href=&quot;http://nrich.maths.org/7289&quot;&gt;Clickety Click and All the Sixes&lt;/a&gt;&lt;/div&gt;
&lt;div id=&quot;lwc34&quot; style=&quot;display: none;&quot;&gt;The live weekly challenge is : &lt;a href=&quot;http://nrich.maths.org/7293&quot;&gt;Googol&lt;/a&gt;&lt;/div&gt;
&lt;div id=&quot;lwc33&quot; style=&quot;display: none;&quot;&gt;The live weekly challenge is : &lt;a href=&quot;http://nrich.maths.org/7057&quot;&gt;Crazy Cannons&lt;/a&gt;&lt;/div&gt;
&lt;div id=&quot;lwc32&quot; style=&quot;display: none;&quot;&gt;The live weekly challenge is : &lt;a href=&quot;http://nrich.maths.org/7315&quot;&gt;Medicine Half life&lt;/a&gt;&lt;/div&gt;
&lt;div id=&quot;lwc31&quot; style=&quot;display: none;&quot;&gt;The live weekly challenge is : &lt;a href=&quot;http://nrich.maths.org/7042&quot;&gt;Common Divisor&lt;/a&gt;&lt;/div&gt;
&lt;div id=&quot;lwc30&quot; style=&quot;display: none;&quot;&gt;The live weekly challenge is : &lt;a href=&quot;http://nrich.maths.org/7091&quot;&gt;Sign of the Times&lt;/a&gt;&lt;/div&gt;
&lt;div id=&quot;lwc29&quot; style=&quot;display: none;&quot;&gt;The live weekly challenge is : &lt;a href=&quot;http://nrich.maths.org/7064&quot;&gt;Integral Equation&lt;/a&gt;&lt;/div&gt;
&lt;div id=&quot;lwc28&quot; style=&quot;display: none;&quot;&gt;The live weekly challenge is : &lt;a href=&quot;http://nrich.maths.org/6495&quot;&gt;The right volume&lt;/a&gt;&lt;/div&gt;
&lt;div id=&quot;lwc27&quot; style=&quot;display: none;&quot;&gt;The live weekly challenge is : &lt;a href=&quot;http://nrich.maths.org/7066&quot;&gt;Cubic roots&lt;/a&gt;&lt;/div&gt;
&lt;div id=&quot;lwc26&quot; style=&quot;display: none;&quot;&gt;The live weekly challenge is : &lt;a href=&quot;http://nrich.maths.org/7058&quot;&gt;Max Throw&lt;/a&gt;&lt;/div&gt;
&lt;div id=&quot;lwc25&quot; style=&quot;display: none;&quot;&gt;The live weekly challenge is : &lt;a href=&quot;http://nrich.maths.org/7059&quot;&gt;Trig Trig Trig&lt;/a&gt;&lt;/div&gt;
&lt;div id=&quot;lwc24&quot; style=&quot;display: none;&quot;&gt;The live weekly challenge is : &lt;a href=&quot;http://nrich.maths.org/6970&quot;&gt;Suspicious Integrator&lt;/a&gt;&lt;/div&gt;
&lt;div id=&quot;lwc23&quot; style=&quot;display: none;&quot;&gt;The live weekly challenge is : &lt;a href=&quot;http://nrich.maths.org/7475&quot;&gt;Stand up Arcs&lt;/a&gt;&lt;/div&gt;
&lt;div id=&quot;lwc22&quot; style=&quot;display: none;&quot;&gt;The live weekly challenge is : &lt;a href=&quot;http://nrich.maths.org/7474&quot;&gt;Combinations of Two&lt;/a&gt;&lt;/div&gt;
&lt;div id=&quot;lwc21&quot; style=&quot;display: none;&quot;&gt;The live weekly challenge is : &lt;a href=&quot;http://nrich.maths.org/7050&quot;&gt;Trig Identity&lt;/a&gt;&lt;/div&gt;
&lt;div id=&quot;lwc20&quot; style=&quot;display: none;&quot;&gt;The live weekly challenge is : &lt;a href=&quot;http://nrich.maths.org/7368&quot;&gt;The Olympic LOGO&lt;/a&gt;&lt;/div&gt;
&lt;div id=&quot;lwc19&quot; style=&quot;display: none;&quot;&gt;The live weekly challenge is : &lt;a href=&quot;http://nrich.maths.org/7054&quot;&gt;Prime APs&lt;/a&gt;&lt;/div&gt;
&lt;div id=&quot;lwc18&quot; style=&quot;display: none;&quot;&gt;The live weekly challenge is : &lt;a href=&quot;http://nrich.maths.org/7036&quot;&gt;The root of the problem&lt;/a&gt;&lt;/div&gt;
&lt;div id=&quot;lwc17&quot; style=&quot;display: none;&quot;&gt;The live weekly challenge is : &lt;a href=&quot;http://nrich.maths.org/7039&quot;&gt;Power Stack&lt;/a&gt;&lt;/div&gt;
&lt;div id=&quot;lwc16&quot; style=&quot;display: none;&quot;&gt;The live weekly challenge is : &lt;a href=&quot;http://nrich.maths.org/7291&quot;&gt;Archimedes Numerical Roots&lt;/a&gt;&lt;/div&gt;
&lt;div id=&quot;lwc15&quot; style=&quot;display: none;&quot;&gt;The live weekly challenge is : &lt;a href=&quot;http://nrich.maths.org/7037&quot;&gt;Indexing Problems&lt;/a&gt;&lt;/div&gt;
&lt;div id=&quot;lwc14&quot; style=&quot;display: none;&quot;&gt;The live weekly challenge is : &lt;a href=&quot;http://nrich.maths.org/7056&quot;&gt;Mad Robot&lt;/a&gt;&lt;/div&gt;
&lt;div id=&quot;lwc13&quot; style=&quot;display: none;&quot;&gt;The live weekly challenge is : &lt;a href=&quot;http://nrich.maths.org/7055&quot;&gt;Comet Catastrophe&lt;/a&gt;&lt;/div&gt;
&lt;div id=&quot;lwc12&quot; style=&quot;display: none;&quot;&gt;The live weekly challenge is : &lt;a href=&quot;http://nrich.maths.org/7053&quot;&gt;Venn Diagram Fun&lt;/a&gt;&lt;/div&gt;
&lt;div id=&quot;lwc11&quot; style=&quot;display: none;&quot;&gt;The live weekly challenge is : &lt;a href=&quot;http://nrich.maths.org/7051&quot;&gt;Unit Interval&lt;/a&gt;&lt;/div&gt;
&lt;div id=&quot;lwc10&quot; style=&quot;display: none;&quot;&gt;The live weekly challenge is : &lt;a href=&quot;http://nrich.maths.org/7038&quot;&gt;Solve me!&lt;/a&gt;&lt;/div&gt;
&lt;div id=&quot;lwc9&quot; style=&quot;display: none;&quot;&gt;The live weekly challenge is : &lt;a href=&quot;http://nrich.maths.org/7040&quot;&gt;Quick Sum&lt;/a&gt;&lt;/div&gt;
&lt;div id=&quot;lwc8&quot; style=&quot;display: none;&quot;&gt;The live weekly challenge is : &lt;a href=&quot;http://nrich.maths.org/7292&quot;&gt;Sixinit&lt;/a&gt;&lt;/div&gt;
&lt;div id=&quot;lwc7&quot; style=&quot;display: none;&quot;&gt;The live weekly challenge is : &lt;a href=&quot;http://nrich.maths.org/7060&quot;&gt;Gradient Match&lt;/a&gt;&lt;/div&gt;
&lt;div id=&quot;lwc6&quot; style=&quot;display: none;&quot;&gt;The live weekly challenge is : &lt;a href=&quot;http://nrich.maths.org/7097&quot;&gt;AP train&lt;/a&gt;&lt;/div&gt;
&lt;div id=&quot;lwc5&quot; style=&quot;display: none;&quot;&gt;The live weekly challenge is : &lt;a href=&quot;http://nrich.maths.org/7063&quot;&gt;Trigger&lt;/a&gt;&lt;/div&gt;
&lt;div id=&quot;lwc4&quot; style=&quot;display: none;&quot;&gt;The live weekly challenge is : &lt;a href=&quot;http://nrich.maths.org/7032&quot;&gt;Top Marks&lt;/a&gt;&lt;/div&gt;
&lt;div id=&quot;lwc3&quot; style=&quot;display: none;&quot;&gt;The live weekly challenge is : &lt;a href=&quot;http://nrich.maths.org/7052&quot;&gt;Geometric Trig&lt;/a&gt;&lt;/div&gt;
&lt;div id=&quot;lwc2&quot; style=&quot;display: none;&quot;&gt;The live weekly challenge is : &lt;a href=&quot;http://nrich.maths.org/7041&quot;&gt;Quad Solve&lt;/a&gt;&lt;/div&gt;
&lt;div id=&quot;lwc1&quot; style=&quot;display: none;&quot;&gt;The live weekly challenge is : &lt;a href=&quot;http://nrich.maths.org/7105&quot;&gt;Inner Inequality&lt;/a&gt;&lt;/div&gt;
&lt;br&gt;&lt;/br&gt;
&lt;br&gt;&lt;/br&gt;
&lt;p&gt;The NRICH weekly challenges are aimed at Post-16 students to provide an interesting, shorter challenge to try out each week which will fit around any usual course of study. Each challenge is designed to be simple to get into and to cover an important and intriguing area of mathematics. Each challenge has links to further reading and other problems for the interested student/class. Many of the
challenges will contain extension tasks (which might be much more difficult than the main challenge!) and you might be inspired to extend the tasks yourself with &amp;#39;What if?&amp;#39; questions. We are re-running the cycle of challenges with links to our blog site giving you the chance to discuss, share and extend the challenges.&lt;br&gt;&lt;/br&gt;
&lt;br&gt;&lt;/br&gt;
&lt;br&gt;&lt;/br&gt;
We also publish &lt;a href=&quot;http://nrich.maths.org/public/viewer.php?weekly=true&quot;&gt;weekly problems&lt;/a&gt; based around the sorts of curriculum areas typically covered at ages 11 - 16.&lt;br&gt;&lt;/br&gt;
 &lt;/p&gt;
&lt;h3&gt;Past Challenges&lt;/h3&gt;
&lt;br&gt;&lt;/br&gt;
&lt;div id=&quot;wc50&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 50: &lt;a href=&quot;http://nrich.maths.org/7400&quot;&gt;How Old?&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc49&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 49: &lt;a href=&quot;http://nrich.maths.org/7415&quot;&gt;Get in line&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc48&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 48: &lt;a href=&quot;http://nrich.maths.org/7411&quot;&gt;Quorum-sensing&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc47&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 47: &lt;a href=&quot;http://nrich.maths.org/7277&quot;&gt;Weird Universes&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc46&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 46: &lt;a href=&quot;http://nrich.maths.org/6531&quot;&gt;The Jabber-notty&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc45&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 45: &lt;a href=&quot;http://nrich.maths.org/6094&quot;&gt;Integral arranging&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc44&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 44: &lt;a href=&quot;http://nrich.maths.org/6431&quot;&gt;Prime Counter&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc43&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 43: &lt;a href=&quot;http://nrich.maths.org/6322&quot;&gt;A close match&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc42&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 42: &lt;a href=&quot;http://nrich.maths.org/6359&quot;&gt;What&amp;#39;s my equation&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc41&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 41: &lt;a href=&quot;http://nrich.maths.org/7062&quot;&gt;Happy Birthday&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc40&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 40: &lt;a href=&quot;http://nrich.maths.org/6488&quot;&gt;Normal intersection&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc39&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 39: &lt;a href=&quot;http://nrich.maths.org/7077&quot;&gt;Symmetrically So&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc38&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 38: &lt;a href=&quot;http://nrich.maths.org/7065&quot;&gt;Numbered Graph&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc37&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 37: &lt;a href=&quot;http://nrich.maths.org/7061&quot;&gt;Magic Bag&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc36&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 36: &lt;a href=&quot;http://nrich.maths.org/7290&quot;&gt;Seriesly&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc35&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 35: &lt;a href=&quot;http://nrich.maths.org/7289&quot;&gt;Clickety Click and All the Sixes&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc34&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 34: &lt;a href=&quot;http://nrich.maths.org/7293&quot;&gt;Googol&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc33&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 33: &lt;a href=&quot;http://nrich.maths.org/7057&quot;&gt;Crazy Cannons&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc32&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 32: &lt;a href=&quot;http://nrich.maths.org/7315&quot;&gt;Medicine Half life&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc31&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 31: &lt;a href=&quot;http://nrich.maths.org/7042&quot;&gt;Common Divisor&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc30&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 30: &lt;a href=&quot;http://nrich.maths.org/7091&quot;&gt;Sign of the Times&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc29&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 29: &lt;a href=&quot;http://nrich.maths.org/7064&quot;&gt;Integral Equation&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc28&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 28: &lt;a href=&quot;http://nrich.maths.org/6495&quot;&gt;The right volume&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc27&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 27: &lt;a href=&quot;http://nrich.maths.org/7066&quot;&gt;Cubic roots&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc26&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 26: &lt;a href=&quot;http://nrich.maths.org/7058&quot;&gt;Max Throw&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc25&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 25: &lt;a href=&quot;http://nrich.maths.org/7059&quot;&gt;Trig Trig Trig&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc24&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 24: &lt;a href=&quot;http://nrich.maths.org/6970&quot;&gt;Suspicious Integrator&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc23&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 23: &lt;a href=&quot;http://nrich.maths.org/7475&quot;&gt;Stand up Arcs&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc22&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 22: &lt;a href=&quot;http://nrich.maths.org/7474&quot;&gt;Combinations of Two&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc21&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 21: &lt;a href=&quot;http://nrich.maths.org/7050&quot;&gt;Trig Identity&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc20&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 20: &lt;a href=&quot;http://nrich.maths.org/7368&quot;&gt;The Olympic LOGO&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc19&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 19: &lt;a href=&quot;http://nrich.maths.org/7054&quot;&gt;Prime APs&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc18&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 18: &lt;a href=&quot;http://nrich.maths.org/7036&quot;&gt;The root of the problem&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc17&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 17: &lt;a href=&quot;http://nrich.maths.org/7039&quot;&gt;Power Stack&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc16&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 16: &lt;a href=&quot;http://nrich.maths.org/7291&quot;&gt;Archimedes Numerical Roots&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc15&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 15: &lt;a href=&quot;http://nrich.maths.org/7037&quot;&gt;Indexing Problems&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc14&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 14: &lt;a href=&quot;http://nrich.maths.org/7056&quot;&gt;Mad Robot&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc13&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 13: &lt;a href=&quot;http://nrich.maths.org/7055&quot;&gt;Comet Catastrophe&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc12&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 12: &lt;a href=&quot;http://nrich.maths.org/7053&quot;&gt;Venn Diagram Fun&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc11&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 11: &lt;a href=&quot;http://nrich.maths.org/7051&quot;&gt;Unit Interval&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc10&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 10: &lt;a href=&quot;http://nrich.maths.org/7038&quot;&gt;Solve me!&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc9&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 9: &lt;a href=&quot;http://nrich.maths.org/7040&quot;&gt;Quick Sum&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc8&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 8: &lt;a href=&quot;http://nrich.maths.org/7292&quot;&gt;Sixinit&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc7&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 7: &lt;a href=&quot;http://nrich.maths.org/7060&quot;&gt;Gradient Match&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc6&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 6: &lt;a href=&quot;http://nrich.maths.org/7097&quot;&gt;AP train&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc5&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 5: &lt;a href=&quot;http://nrich.maths.org/7063&quot;&gt;Trigger&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc4&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 4: &lt;a href=&quot;http://nrich.maths.org/7032&quot;&gt;Top Marks&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc3&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 3: &lt;a href=&quot;http://nrich.maths.org/7052&quot;&gt;Geometric Trig&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc2&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 2: &lt;a href=&quot;http://nrich.maths.org/7041&quot;&gt;Quad Solve&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc1&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 1: &lt;a href=&quot;http://nrich.maths.org/7105&quot;&gt;Inner Inequality&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;div id=&quot;wc0&quot;&gt;
&lt;ul&gt;
&lt;li&gt;Weekly Challenge 0: &lt;a href=&quot;http://nrich.maths.org/5986&quot;&gt;Weekly Challenges are here!&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;
&lt;/div&gt;
&lt;br&gt;&lt;/br&gt;
&lt;div&gt;We hope that our challenges will stimulate lots of mathematical discussion and activity.&lt;/div&gt;
&lt;div&gt; &lt;/div&gt;
&lt;div&gt; &lt;/div&gt;
&lt;div&gt;If you have any feedback, please get in touch with Steve Hewson on post16.nrich@maths.org. &lt;/div&gt;
&lt;br&gt;&lt;/br&gt;
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  <keystage2>0</keystage2>
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  <title>The Stage 5 Weekly Challenges</title>
  <description>The NRICH Stage 5 weekly challenges are shorter problems aimed at Post-16 students or enthusiastic younger students. There are 52 of them.</description>
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