Volume 8 Math Stars Worksheet Page 7
ADVERTISEMENT
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35Vol. 8 No. 2
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. (210, 420, 630) The numbers must be multiples of 2 x 3 x 5 x 7 or 210.
2. (She thinks that double the diameter gives twice as much pizza, and therefore the price should
be double. Actually the area is four times greater so the price should be close to $15.40)
Comparing areas yields the following ratio: eight inch pizza : 16 inch pizza or 1 : 4 i. e. Area = πr
2
or
3.14 x 16 ≈ 50 square inches while
3.14 x 64 ≈ 201 square inches.
3. (a) 67,68,69, . . . 77, 78; b) 186,660) Students can explore number patterns to determine the first and
last numbers in the nth row. The 72nd row begins with 2557 and ends with 2628. Its sum can be found
by brute force addition, or by exploring number patterns for arithmetic series.
4. (641 x 93 = 59,613) Students will use trial and error to solve this problem. Further exploration of
similar problems will reveal a strategy using place value logic to determine the greatest product given n
digits.
5. (24 boys) Thirty boys play football, and six do not play basketball.
6. ($3.55) Computing: ($10.45 - $1.25) ÷ 4 + $1.25 = $2.30 + $1.25 = $3.55.
equal share
+ extra pizza = Johna's share.
7. (14) The first seven balls could all be green, and the next five could all be red. Therefore you must
draw two more to be sure you have two of every color.
8. (-8˚ F) Readings: 1st
2nd
3rd
4th
5th
22˚
22 + 10 = 32˚
32 - 25 = 7˚
7 - 15 = -8˚
-8 + 21 = 13˚
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education