Volume 8 Math Stars Worksheet Page 29
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35Vol. 8 No. 8
6. [a) 5/8; b) 157/225] Students may wish to construct their own continued fractions with varying
number patterns, compute the values when the fraction has 4, 5, 6 or more stages, and study the
sequence of values.
7. [between 12 and 13] If students graph the solution, the point should be closer to 12.25 than to 12.5.
8. [a) 174˚; b) 30˚; c) 162.5˚] Students can compute the angle by observing that the 360˚ circle is
divided by the minute marks into six degree units. They should also observe that the hour hand moves
through one of these marks every 12 minutes.
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