Problem Solving Worksheets With Answer Key - Math Stars Page 26
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39Vol. 7 No. 7
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...
1.[3 meters] Students can use the relationship C = πd , where C represents the circumference,
d represents the diameter and π can be approximated by 3.14 or 22/7. The ratio C/π will give a value
greater than 3.02 which rounds to three meters.
2. [mode is 144; range is 47; Latoya is closest to the median(159); and also closest to the
mean (159.1)] This problem gives a good opportunity to review the concepts and strategies for the
mean, median, mode and range.
3. [90 minutes] Students can set up a proportion i.e. 3.5 : 15 :: 21 : x, they can reason that 3.5 cm
burn in 15 minutes (21 - 17.5 = 3.5). And 21 ÷ 3.5 = 6 or there are six 3.5 cm segments in the candle
each of which takes 15 minutes to burn which yields 90 total minutes to burn the entire candle.
4. [3, 6, 10, 15, 21, 28, . . .]
The sequence progresses with the addition of consecutive counting numbers,
i.e. 3 + 3 = 6
6 + 4 = 10
10 + 5 = 15
15 + 6 = 21
21 + 7 = 28
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