Volume 8 Math Stars Worksheet Page 32

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Vol. 8 No. 9
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. [circular trampoline has greater area,
199 square feet] This problem gives students the
opportunity to explore equal perimeter figures. A good follow-up would be equal area figures and
exploration of varying perimeters.
2. [14 tents: either twelve 4-person, one 3-person and one 2-person tent, or eleven 4-person and
three 3-person tents] A chart or list will help students organize their work for a guess and check
strategy.
3. [82, 101: y = x
2
+ 1]
4. [ about 33%] Doug dug about one-third of the distance from his house to the road on the first day.
5. [ a) 21
3
= 9261; b) 21
-3
= 1/9261
.0001079] Students may need to be reminded that zero is neither
positive nor negative.
12
6. [ a) 500 x (1/2)
.12 mg; b) shortly after 2 p.m.] At 2:00, 125 mg of the antibiotic remains in
the patient's bloodstream.
h
10
8
6
7. Answers will vary. Some possibilities are:
b 1
7
8
11
b 2
5
7
9
8.
+
1 2 3 4
P(3) = 1 = P(9)
2 3 4
5 6
16
3 4 5
6 7
P(4) = 2 = P(8)
4 5 6
7 8
16
5 6 7
8 9
P(5) = 3 = P(7)
16
P(6) = 4
16

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