951
/www/nrich/html/content/99/06/penta3/
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2011-02-01T00:00:01
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<p><br></br>
There's a planet out in space called Zargon ........</p>
<p>On this planet these are numbers that are called ziffles<br></br>
These numbers are ziffles $56, 105, 28, 63, 49$</p>
<p>These numbers are not ziffles: $100, 18, 65, 9, 76$</p>
<p>Only two of these numbers are ziffles: $16, 14, 57, 24, 70$</p>
<p>So what is special about the ziffles?</p>
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<p>Lots of people sent in solutions for this one.</p>
<p><strong style="font-weight: 400;">Becky</strong> from Wheelers
Lane Junior School, Birmingham, England gave one of the best
explanations ...</p>
<p>"I found this quite an easy puzzle because I know my times
tables well. I soon spotted that 56, 28, 63 and 49 were all in the
seven times table and later found out that 105 was. I also noticed
that 100, 18, 65, 9 and 76 were not in the seven times table. I
then worked out that 14 and 70 were".</p>
<p>As <strong style="font-weight: 400;">Susannah from</strong>
Headington Junior School, Oxford says, "A ziffle is a multiple of
7".</p>
<p><strong style="font-weight: 400;">Joshua from</strong> Ampthill,
Bedfordshire, <strong style="font-weight: 400;">Emma from</strong>
Cambridge and <strong style="font-weight: 400;">Matthew</strong>
from Hethersett Old Hall Juniors also sent in correct
solutions.</p>
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<h2>What Is Ziffle?</h2>
<br></br>
<p>There's a planet out in space called Zargon ........</p>
<p>On this planet these are numbers that are called ziffles<br></br>
These numbers are ziffles $56, 105, 28, 63, 49$</p>
<p>These numbers are not ziffles: $100, 18, 65, 9, 76$</p>
<p>Only two of these numbers are ziffles: $16, 14, 57, 24, 70$</p>
<p>So what is special about the ziffles?</p>
</div>
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<h3><span style="font-weight: bold;">Why do this problem?</span></h3>
<a href="http://nrich.maths.org/public/viewer.php?obj_id=951&part=index">This short problem</a> encourages children to look for patterns and apply knowledge of their times tables and of the properties of numbers.<br></br>
<h3>Possible approach</h3>
Encourage the children to look at the sets of numbers in turn and explore their characteristics and properties.
<h3>Key questions</h3>
Are they all odd in one set and even in the other?<br></br>
Are they prime numbers?<br></br>
Are they triangle numbers?<br></br>
Are they all in the five times table?<br></br>
How about other tables?<br></br>
<h3>Possible extension</h3>
Either you or your pupils could make up their own problem using, for example, multiples of $13$ or another table that they might like to practice.
<h3>Possible support</h3>
Take an easier table and develop sets of multiples and non multiples to identify.<br></br>
Use concrete apparatus to explore divisibility such as Multilink cubes.<br></br></mdoxml>
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<mdoxml version="1.0">Have a look at your table square!<br></br></mdoxml>
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What is Ziffle?
Can you work out what a ziffle is on the planet Zargon?
Numbers and the Number System
Factors and multiples
Calculations and Numerical Methods
Mental multiplication & division
Calculations and Numerical Methods
Multiplication & division
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