Posted by
PrepDoctor on Thursday, October 02, 2008 2:47:42 PM
While the hot, not thermal but intense and immediate, topics today for
all Americans are the current economic crisis and the hope for higher scores
for their high school students who are willing to work hard for higher scores
for higher education, that topic is the SAT-I: Reasoning Test that the College
Board will administer on Saturday, January 24th and March 14th 2009.
Whether you're adequately prepped for these standardized challenges
or not, the following review in Euclidean geometry cannot hurt, and it may
help. So take a crack at these two, send me your answers, and I'll respond
spot on.
PLEASE DO NOT RESPOND IF YOU ARE NOT A HIGH SCHOOL SOPHOMORE,
JUNIOR or SENIOR.
Solve two, unique (PSAT and SAT-I), "student-produced" problems #1 and
#2, that require a grid-in answer, and one multiple-choice problem #3.
Since this blog template precludes posting the unique "student-produced" grid
that is peculiar to this problem type, merely post your answers (that cannot be
mixed integers and fractions) to #1 and #2 on the lines provided below each of
the problems:
1. If
a planet the size of Earth were a perfect sphere, a television cable circum-
scribed its equator, and it divided the surface of the planet into
equal hemis-
pheres, approximately (integrally) how much additional cable would
be need-
ed to elevate the cable exactly one foot above the surface of the
planet?
.
2. What is the maximum possible area of a quadrilateral with perimeter 14 feet?
.
3. The
perimeter of square #1 is 300% more than the perimeter of square
#2. What
is the ratio of the area of a circle inscribed in square #1 to
the area of
a circle
inscribed in square #2?
(A) 16 : 1
(B)
9 : 1
(C)
6 : 1
(D)
4 : 1
(E)
3 : 1