Volume 8 Math Stars Worksheet Page 25

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Vol. 8 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. [ Tables
1
2
3
4
5
20
50
100
Seats
4
6
8
10
12
42
102
202 Not very, while the numbers
seated is correct, the table would be verrry looong!]
10
100
2. [1' 4" or 1 1/3 ft.; ten bounces - 36(1/3)
ft.
.0006 ft.; 100 bounces - 36(1/3)
ft.] This is a good
problem to illustrate the value of exponential notation.
3. [Nathan - volleyball, Dwayne - swimming, John - track, Allen - football] This type of problem
lends itself to establishing a grid or chart and sorting through the possibilities.
4. [15 pairs] Since the players cannot change positions, each pitcher can be paired with 3 different
catchers or 5 x 3 pairs.
5. [a) 146 units - 72 by 1; b) 34 units - 9 by 8] This is a good problem for exploring factors and
organizing data. With a constant area and varying perimeters, students can explore the dimensions and
compare results.
6. [Sunday, January 12th, at 9:46:40 p.m.] One million seconds is 11 days, 13 hours, 46 minutes and
40 seconds.
7. [a) Biology - 8, Chemistry - 6, Physical Science - 5; 54 students] A Venn diagram is the most
efficient way to organize the data:
120 students
Biology
Chemistry
20
8
6
3
9
15
5
Physical Science
54

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