Starting
2004 with some
brain-teasing Math Puzzlers
Mr. Math Puzzler
is starting the 2004 year with questions that involve series
of numbers. Some are pretty easy but others are tougher.
There are some
where an educated guess can be the proper approach. Then,
there are others where a proper equation would be most helpful.
You remember that
Young Saint Louis.com's Mr. Math Puzzler is Mr. Wayne
Hesse. He's an eighth grade math teacher at Green Park Lutheran
School in south St. Louis County.
The Math Puzzler
feature has been on this website since September, 2001. Sometimes
we have a bunch of winners and other months no one gets all
six Puzzlers correct.
There were three
winners in the December competition. Before that, we had gone
two months without a winner. But, in December, the winners
were 13-year-old Leslie Hlavaty from St. Gabrie Catholic School
and two brothers from Chesterfield, 10-year-old Eric and 12-year-old
Phillip Hsu.
If you'd like
to check on the December questions, answers and explanations,
click here.
(If you'd like
to check a number of the past editions, just click on the
Past Stories tab at the top of the home page. Then, pick any
month from September, 2001, on and review both questions and
answers.)
If any of our
contestants get all six answers correct, we publish their
names in the following month. Also, as an added incentive,
we enter all kids who get six right answers into a drawing
for $10 Border's book certificates. Up to three certificates
will be awarded each month.
A reminder:
These Math Puzzlers can be quite challenging, especially for
younger kids. Remember, we don't mind if you get help from
a parent or older brother or sister. In fact, you might want
to make this a family activity.
Here's how to
enter:
- Print out
the following entry form.
- Fill out your
name, address and telephone number.
- Give your
answers to the six Math Puzzlers.
- Put your completed
entry into a stamped envelope.
- Mail your
entry to:
Math Puzzler Contest
Young Saint Louis.com
231 So. Bemiston Ave., Suite 800
Clayton, MO 63105
- All entries
must be postmarked by the 15th of the month
to be eligible.
-------------Clip
here to make entry-------------
Entry
for January, 2004, Math Puzzler Contest:
Name: ___________________________________
Age: ____
Address: _____________________
School: ______________
City:____________________,
State:______ ZIP__________
Contact phone
no.(____)____________________
The
Math Puzzlers
(January, 2004)
1. Begin with
a large cube. Slice off a tiny triangular pyramid at each
vertex of the cube. How many vertices does the resulting polyhedron
have? How many edges does this resulting polyhedron have?
Answer: _______________
2. In one round
of a TV game show, five questions are asked. The second question
is worth twice as much as the first. The third question is
worth three times as much as the second. The fourth question
is worth four times as much as the third. The fifth question
is worth five times as much as the fourth. If the fifth question
is worth $12,000, what is the first question worth?
Answer: _____________
3. The four children
in the Gonzalez family have a combined age of 25 years. Maria's
older brother is six times as old as she is. Her next-to-the-oldest
brother is 5 years older than she is and the youngest of her
brothers is twice Maria's age. How old is each of the Gonzalez
children?
Answer:
_____________
4. An electrical
panel has 100 switches in a row, all in the OFF position.
Every second switch is turned to the ON position, and then
every third switch is changed from whatever position it is
in to the other position. How many switches are now in the
ON position?
Answer: _____________
5. What is the
least whole number that is divisible by all the whole numbers
from 1 through 9?
Answer: _____________
6. Find the product:
(1
- 1/2) (1 - 1/3) (1 - 1/4) (1 - 1/5) through (1 - 1/39) (1
- 1/40)
Answer: _____________