Volume 8 Math Stars Worksheet Page 28
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35Vol. 8 No. 8
About these newsletters...
The purpose of the MathStars Newsletters is to challenge students beyond the classroom
setting. Good problems can inspire curiosity about number relationships and geometric
properties. It is hoped that in accepting the challenge of mathematical problem solving,
students, their parents, and their teachers will be led to explore new mathematical hori-
zons.
As with all good problems, the solutions and strategies suggested are merely a sample of
what you and your students may discover. Enjoy!!
Discussion of the problems...
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1
Each side of the square is the hypotenuse of a 1 by 2 right triangle.
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2. [ 5 = 1 + 1 ; 7 = 1 + 1 = 1 + 1 ; 5 = 1 + 1 + 1 ] An interesting follow-up would be
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2 12
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4 7
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a study of Egyptian fractions and some problems from the Rhind Papyrus.
3. [26, 11] This problem can be solved by the guess and check method, algebraically :
[ x + (x + 15) = 37] or graphically : [x - y = 15 ; x + y = 37].
4. [A little less than two hours] It appears that homework is three-eighths of the graph which trans-
lates to .375 x 5 hours = 1.875 or a lttle over 1 hour and 52 minutes.
5. [20 square panes, each 15" by 15"] The greatest common factor, (GCF), of 60 and 75 is 15,
i.e., (60, 15) = 15. The area of the glass is 60 x 75 = 4500 square inches. Twenty panes, each with
area 225 square inches, use the entire piece of glass, so there is no waste.
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