Sets for the CSET Math

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S represents those who swim
R represents those who play rugby
H represents those who play hockey

In the diagram it can be seen that there are four different groups, shown by four different circles. The bigger the circle is the higher the number there is in that specific group. On the digram the ‘F’ and ‘S’ circles overlap. This shows that some of the people who play football also swim, i.e. some of the children that belong to set ‘F’ also belong to set ‘S’. Also on
the diagram it can be seen that the ‘R’ circle lies within in the ‘F’ circle. This means that all of the children who play rugby also play football. All of those in set ‘R’ also belong to set ‘F’. This means that ‘R’ is a subset of ‘F’. Finally, all of the children who don’t play any sports are shown by the space around the circles. The complete display is known as a Venn Diagram
On this diagram it can be seen that the number of people that just play football is seven. Similarly the numbers of people playing just hockey and swimming are three and six respectively.

Where the circles ‘F’ and ‘S’ overlap it shows the number of people both swimming and playing football. This number is two. As the people who play rugby also all play football, the number of people playing both rugby and football is three.

This basic review of Sets for the CSET Math should be helpful. The idea is to build a good fundamental understanding of how Sets work so that you can easily answer more advanced math questions dealing with Sets on your CSET exam.

By Todd Brackett

http://www.ACEtheCSET.com

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