40th Annual Lee Webb Math Field Day MARCH 12, 2011 Junior Varsity Math Bowl.
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Transcript 40th Annual Lee Webb Math Field Day MARCH 12, 2011 Junior Varsity Math Bowl.
40th Annual
Lee Webb Math Field Day
MARCH 12, 2011
Junior Varsity
Math Bowl
Before We Begin:
• Please turn all cell phones off, or set to
vibrate, while the Math Bowl is in progress.
• Students will use the TI-Inspire only to
electronically submit their answers. You will
not be able to use the calculator to perform
any computations.
• Turn on your calculator by pressing the ON
button in the lower left corner. The HOME
screen should appear, and A: Calculate
should be highlighted.
• For each question, a signal will be sent to your
calculator, and a screen will appear for your use in
submitting your answers.
• You will need to use the TAB button, located on the
upper left side of calculator, to the left of the large
round thumb cursor to submit your answers.
• We will first make sure that all calculators are
properly logged in before we start.
• We will do a sample question each
round, utilizing some keys that students
may need for their answers.
• There is to be no talking among the
students on stage once the round has
begun.
• Audience please do not shout out any
answers.
2011
Math Bowl
Junior Varsity
Round 1
Sample - 45 seconds
Submit the following answer, being sure to place
parentheses properly to dictate the desired
order of operations. Remember to use the tab
key to exit an exponent.
x
2 3
2 i
, cos
7y
Problem 1.1 - 15 seconds
Which of the following decimals
is the smallest? Enter the
decimal, not the letter.
a) .031
b) .029
c) .03
d) .009
Problem 1.2 - 15 seconds
Find f(4) when f(x) = -2x - 7.
Problem 1.3 - 30 seconds
What is the y intercept of the
line perpendicular to the
line y = 3x + 5, and passing
through the point (3, 5)?
Problem 1.4 - 30 seconds
The ratio of men to women
in a certain Iowa farm
town is 5 to 3. If there are
600 adults in the town, how
many are men?
Problem 1.5 - 15 seconds
Simplify:
12 - 3(x - 2)
Problem 1.6 - 45 seconds
The length of a rectangle is 8
in. longer than its width.
If its perimeter is 32 in.,
what is its area, in sq. in.?
Problem 1.7 - 30 seconds
The cost of producing n suncatchers
is given by C(n) = 150 + 3n; while
the revenue from the sale of these
suncatchers is given by R(n) = 8n.
How many suncatchers must the
manufacturer sell to break even?
Problem 1.8 - 15 seconds
Simplify as much as possible:
1/2
1/2
(75 )(300 )
Problem 1.9 - 30 seconds
What is the volume, in square
centimeters, of a 5 cm. tall right
cylinder, if the base has a radius of 3
cm.?
5 cm.
3 cm.
Problem 1.10 - 30 seconds
A pair of shoes that originally
sold for $100.00 was marked
down 20%. Two weeks later
it was marked down an
additional 50%. What is the
new price, in dollars?
Problem 1.11 - 30 seconds
What is the greatest common
factor of 312 and 48?
Problem 1.11 - 45 seconds
State all values of x which
satisfy the equation.
3x -
2
2(x
- x + 1) = 0
Problem 1.13 - 30 seconds
A couple has $21.00 to spend on
lunch, and want to leave a
20% tip.
What is the maximum amount
of money, in dollars, they can
spend on their food order?
Problem 1.14 - 15 seconds
A, B, C are points on the circle centered at O.
If mAOB 110º, what is mACB , in degrees?
B
A
O
C
2011
Math Bowl
Junior Varsity
Round 2
• For each question, a signal will be sent to your
calculator, and a screen will appear for your use in
submitting your answers.
• You will need to use the TAB button, located on the
upper left side of calculator, to the left of the large
round thumb cursor to submit your answers.
• We will first make sure that all calculators are still
properly logged in before we start.
• Next we will review the keyboard again.
Sample - 45 seconds
Submit the following answer, being sure to place
parentheses properly to dictate the desired
order of operations. Remember to use the tab
key to exit an exponent.
x
2 3
2 i
, cos
7y
Problem 2.1 - 15 seconds
How many cubic feet are
in 2 cubic yards?
Problem 2.2 - 30 seconds
Find the degree measure of angle x.
x + 30º
x
x - 15º
Problem 2.3 - 45 seconds
Find the ordered pair that
satisfies the linear system.
2x y 8
3x
2y
5
Problem 2.4 - 15 seconds
Rewrite as a fraction in lowest terms.
.03
Problem 2.5 - 30 seconds
The number of houses sold by Apple
Realty decreased from 300 in the
year 2009 to 180 in 2010.
What is the percentage decrease in
the number of houses sold?
Problem 2.6 - 15 seconds
What is the maximum value in
the range of the function
f(x) = -(x –
2
5)
-3?
Problem 2.7 - 30 seconds
Find the area of the parallelogram, in
square centimeters.
12 cm.
10 cm.
6 cm.
Problem 2.8 - 15 seconds
What is the median of the
following set of numbers?
{2, 5, 7, 5, 3}
Problem 2.9 - 30 seconds
Solve the absolute value
equation.
3 2x 4 0
Problem 2.10 - 15 seconds
Find the distance
between the points
(-2, 6) and (4, -2).
Problem 2.11 - 30 seconds
Suzanne volunteered to make
180 cookies for a bake sale.
In 90 minutes, she has only
made 30 cookies.
At that rate, how many hours
will it take her to make the
rest of the cookies?
Problem 2.12 - 45 seconds
Solve for x:
3 5x 1 6 15
2011
Math Bowl
Junior Varsity
Round 3
• For each question, a signal will be sent to your
calculator, and a screen will appear for your use in
submitting your answers.
• You will need to use the TAB button, located on the
upper left side of calculator, to the left of the large
round thumb cursor to submit your answers.
• We will first make sure that all students have the
correct calculator and that the calculators are
properly logged in before we start.
• Next we will review the keyboard again.
Sample - 45 seconds
Submit the following answer, being sure to place
parentheses properly to dictate the desired
order of operations. Remember to use the tab
key to exit an exponent.
x
2 3
2 i
, cos
7y
Problem 3.1 - 45 seconds
Bill is making decorative plaques
from scrap lumber to sell at the
flea market. If each plaque
measures 15” long by 5” wide,
and he has four 8 foot long 10"
wide boards available, how many
plaques can he make?
Problem 3.2 - 15 seconds
Simplify:
3
log12 12
Problem 3.3 - 30 seconds
Let M = kN - 4.
When N = 9, M = 2.
Find the value of M when
N = 15.
Problem 3.4 - 30 seconds
4
Find n!
n 1
Problem 3.5 - 45 seconds
At a discount store, similar items
are the same price.
One sweater and three shirts cost
$42, while three sweaters and
two shirts cost $56.
How much does one shirt cost, in
dollars?
Problem 3.6 - 30 seconds
Find the value(s) of the x
intercept(s) of the circle.
(x +
2
3)
+ (y -
2
5)
= 25
Problem 3.7 - 15 seconds
Simplify:
275
i
Problem 3.8 - 30 seconds
Find all values of x > 0 that
satisfy the equation.
6 x7
x
3
Problem 3.9 - 30 seconds
In a university calculus class,
6% of the students received
an A. If 12 students
received an A, how many
students were in the class?
Problem 3.10 - 60 seconds
A hexagon is enclosed in a circle of radius 6 cm., as
shown. Find the area of the hexagon, in square
centimeters. Leave your answer in radical form.
6
Problem 3.11 - 30 seconds
A family has six children.
What is the probability that
they have at least one girl?
Problem 3.12 - 30 seconds
A company bought a new truck
for $45,000, and depreciated it
over 5 years, using straight
line depreciation. What was
the dollar value of the truck
four years after purchase?
2011
Math Bowl
Junior Varsity
Round 4
• For each question, a signal will be sent to your
calculator, and a screen will appear for your use in
submitting your answers.
• You will need to use the TAB button, located on the
upper left side of calculator, to the left of the large
round thumb cursor to submit your answers.
• We will first make sure that all calculators are still
properly logged in before we start.
• Next we will review the keyboard again.
Sample - 45 seconds
Submit the following answer, being sure to place
parentheses properly to dictate the desired
order of operations. Remember to use the tab
key to exit an exponent.
x
2 3
2 i
, cos
7y
Problem 4.1 - 15 seconds
Two angles are supplementary.
The second angle is 30º larger
than the first. What is the
degree measure of the first
angle?
Problem 4.2 - 30 seconds
Find all values of x that satisfy
the equation.
2x 5 7 4x
Problem 4.3 - 45 seconds
Assume x = 2, a = 3, b = 4, c = 5.
Evaluate:
x
( 5 a4 b2 c )
x
x 3a x 2b
2a6bc
Problem 4.4 - 15 seconds
Simplify:
log46 - log43 + log48
Problem 4.5 - 30 seconds
Assume l1 and l2 are parallel.
Find the degree measure of x.
l1
3x-20
2x+30
l2
Problem 4.7 - 45 seconds
3
1) ;
If f(x) = 5(x -1
find f (40).
Problem 4.8 - 15 seconds
Multiply the complex numbers.
Give your answer in the form
a + bi.
(3 + 4i)(-3 + 2i)
Problem 4.9 - 45 seconds
A small plane flying with a tail
wind can travel 450 miles in
three hours. Flying against the
same wind, it would take five
hours to travel 450 miles.
What is the average wind speed, in
mph?
Problem 4.10 - 30 seconds
Find all values of x that satisfy
the equation.
7
1
4
2
x 5x 6 x 2 x 3
Problem 4.11 - 15 seconds
Find the next term in the
geometric sequence that begins:
3, 15, 75, …
Problem 4.12 - 45 seconds
A right square pyramid has a
square base with sides of length
12 cm., and a height of 8 cm.
What is the surface area of the
pyramid, in square centimeters?
Problem 4.13 - 30 seconds
Choosing a person at random from a
certain group of college freshman, the
probability the individual is a woman is
.55, the probability the individual is
married is .10, and the probability the
individual is a married woman is .05.
What is the probability that the individual
is married or a woman?
THE END
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