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2008 LSU Math Contest

Questions 1 - 18 are worth 1 point each and
questions 19 - 28 are worth 2 points each.

No calculators are allowed .

Pictures are only sketches and are not necessarily
Simplify ing-expressions/drawing--the-quadratic-curve.html">drawn to scale or proportion .

You have one hour and twenty minutes to complete the
entire morning exam

Questions 1 - 18 Multiple Choice

Please:
• Use the answer sheet for your answers.
• Answer only one choice A, B, C, D, or E for each question
by circling your answer on the answer sheet.
• Completely erase any answer you wish to change .
• Do not make stray marks on the answer sheet.

1
Simplify

E none of these

2
Solve for x in 3x + 7 = 1 − 2x.

3
The function f : R → R given by the formula
can also be written as

E none of the above

4
The sum of the degree measures of the interior angles in a
quadrilateral is

E none of these

5
What is one-third of 199?

6
Which of these numbers is the largest ?

7
How many axes of symmetry does a non- square rhombus
have?

 
8
In the diagram on the
right, O is the center of
the circle
, and
are tangent lines to the
circle
with points of tangency
A and C respectively.
If ∠O measures
90 then the degree measure
of ∠B is

E None of the choices

9
The sum of the marked angles 1, 2, 3, 4, 5, 6 is

E can’t be sure

10
From 1900 to 1950 the population of East Baton Rouge Parish
increased 4920% and from 1950 to 2000 the population increased
150%. What was the percentage increase during the
20th century?

11
Let f(n) = n/((n−1)/ · · · /(3/(2/1)) · · · ) for n = 2, 3, . . . .
Which of the fol lowing is true ?

D f(7) = 1

E none of these

12
If the ope ration is defined as for a, b > 0, then
is

E none of these

13
If the length of a rectangle is increased by 30% and the width
is decreased by 20%, then the area is

A increased by 4%

B decreased by 6%

C increased by 6%

D increased by 10%

E increases by 56%
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