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  <id>6746</id>
  <path>/www/nrich/html/content/id/6746/</path>
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  <last_published>2011-02-01T00:00:01</last_published>
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&lt;mdoxml version=&quot;1.0&quot;&gt;&lt;br&gt;&lt;/br&gt;
&lt;p&gt;How many different squares can be drawn in total by joining the dots with line segments in the part of the square lattice shown below?&lt;br&gt;&lt;/br&gt;
&lt;br&gt;&lt;/br&gt;
&lt;mdo:image alt=&quot;&quot; height=&quot;232&quot; src=&quot;grid.jpg&quot; width=&quot;231&quot;&gt;&lt;/mdo:image&gt;&lt;br&gt;&lt;/br&gt;
&lt;br&gt;&lt;/br&gt;
If you liked this problem, &lt;a href=&quot;http://nrich.maths.org/public/viewer.php?obj_id=143&amp;amp;part=&quot;&gt;here is an NRICH task&lt;/a&gt; which challenges you to use similar mathematical ideas.&lt;/p&gt;
&lt;p&gt; &lt;/p&gt;&lt;/mdoxml&gt;</indexXML>
  <solutionXML>&lt;?xml version=&quot;1.0&quot; encoding=&quot;UTF-8&quot;?&gt;
&lt;mdoxml version=&quot;1.0&quot;&gt;&lt;br&gt;&lt;/br&gt;
Four different squares can be drawn in the lattice - the least
obvious being&lt;br&gt;&lt;/br&gt;
&lt;br&gt;&lt;/br&gt;
&lt;mdo:image height=&quot;232&quot; width=&quot;231&quot; src=&quot;gridsq.jpg&quot; alt=&quot;&quot;&gt;&lt;/mdo:image&gt;&lt;br&gt;&lt;/br&gt;&lt;/mdoxml&gt;</solutionXML>
  <noteXML/>
  <clueXML/>
  <canonXML/>
  <end_user_role>2</end_user_role>
  <difficulty>3</difficulty>
  <keystage1>0</keystage1>
  <keystage2>1</keystage2>
  <keystage3>1</keystage3>
  <keystage4>0</keystage4>
  <keystage4plus>0</keystage4plus>
  <title>Weekly Problem 46 - 2009</title>
  <description>How many squares can you draw on this lattice?</description>
  <spec_group>2D Geometry, Shape and Space
    <specifier>Squares</specifier>
  </spec_group>
  <spec_group>Secondary Mapping Document
    <specifier>Coordinate geometry</specifier>
  </spec_group>
  <spec_group>Secondary Mapping Document
    <specifier>DisplayCabinet</specifier>
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</resource>