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2010-08-07T13:24:20
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<p>In the star shown here the sum of the four numbers in any "line" is the same for each of the five "lines". The five missing numbers are 9,10,11,12,13. Which number is represented by R?</p>
<p style="text-align: center;"><mdo:image alt="Star" height="151" src="star.gif" width="160"></mdo:image></p>
<p style="text-align: center;"> </p>
<p>If you liked this problem, <a href="http://nrich.maths.org/public/viewer.php?obj_id=2282&refpage=titlesearch.php">here is an NRICH task</a> which challenges you to use similar mathematical ideas.</p></mdoxml>
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<p>The ten numbers in the star total 75.</p>
<p>Each number appears in two "lines".</p>
<p>And there are five lines, making a total of 150. Which implies
the total for each line is 30.</p>
<p>This means that R+I=24 and therefore R=11 and I = 13 (or vice
versa).</p>
<p>If R=11 then N=12, H =10 and C=11 which is impossible.</p>
<p>If R=13 then N = 10; H = 12 and C= 9, which is correct.</p>
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Weekly Problem 40 - 2011
You may have seen magic squares before, but can you work out the missing numbers on this magic star?
Secondary Mapping Document
Equations and formulae LS