1. A rectangle has vertices at the origin of a
coordinate plane and at the point (6, 0). If the diagonals of the
rectangle are 10 units long, which of the following points could be
vertices of the rectangle?
A. (-8, 0)
B. (6, -8)
C. (8, 0)
D. (8, 6)
quadratic equation goes through the point (5, 2) and has an axis of
symmetry at x = 2. Which other point must also be on the graph?
A. (-5, 2)
B. (-2, 2)
C. (-1, 2)
D. (2, 2)
3. The diagonal of a cube stretches through the
shape, connecting opposite vertices. If the surface area of a cube
is 18 in2, what is the length of the cube's diagonal?
A. 3 inches
D. 9 inches
4. A cylinder and a sphere have the same
radius. If the cylinder's height is congruent to its diameter, then
what is the ratio of the cylinder's volume to the sphere's volume?
A. 3 to 4
B. 1 to 1
C. 3 to 2
D. 2 to 1
the article titled “Scottish isle for sale is a steal, if you’re
into curling” on page A4 of the Monday, November 25th, Seattle Times
5. The 220-acre island is barely
¾ of a mile long and offers little
beyond seabirds and stone. Though initially listed $4 million, the
price of the island has since been dropped to just $2.4 million.
What is the price per square mile at the current asking price? (640
acres = 1 square mile)
6. The stone quarried from the island has a
tight molecular structure that prevents water from being absorbed.
The cylindrical curling rocks weigh 44 pounds. The rules of curling
limit the stones to have a height of 5 inches and circumferences of
36-inches. How many pounds does each cubic foot of the stone weigh?
A. 0.085 pounds
B. 15 pounds
C. 110 pounds
D. 150 pounds
the article titled “Pie pickle: A complicated recipe yields pecan
shortage” on page A3 of the Thursday, November 28th, Seattle Times
prices for pecans have jumped by about 30%. With stores in New York
selling pecans for $15.99 a pound, many people questioning how much
they are willing to pay to make their traditional holiday pecan pie.A typical pecan pie recipe calls for 1½ cups of pecans. A
pound of pecans has a volume of about 4 cups. How much will it cost
in New York to buy the pecans necessary to make a pecan pie?
year the U.S. grew 302 million pounds of pecans and exported a third
of them to China. This year, the pecan crop is down 35%. If the
fraction of the crop that is being exported to China remains the
same as last year, how many pounds will remain in the U.S.
A. 65 million pounds
B. 71 million pounds
C. 131 million pounds
D. 196 million pounds
wholesale price for pecans has risen steadily since 2005, when the
exports to China began. The short supply this year boosted the price
that farmers receive for their crop even more, to $3.50 per pound.
If the Price that Hudson is receiving has increased by 600% since
2005, what was the price per pound that Hudson was receiving for
pecans before the exports to China began?
A. $0.43 per pound
B. $0.50 per pound
C. $0.58 per pound
D. $0.70 per pound
the article titled “Mining industry gives a lift to airships” on
page A10 of the Saturday, November 30th, Seattle Times
Aeros plans to build 24 airships, 4 of which will be able 66-tons
and the rest able to carry 250-tons. They expect the construction
cost for the fleet of airships to be $3.0 billion. If the 66-ton
capacity airships will cost 40% as much to build as he 250-ton
capacity airships, then how much will each 250-ton capacity airship
cost to build?
A. $60 million
B. $120 million
C. $130 million
D. $140 million
11. The 66-ton capacity airships will use 6.7
million cubic feet of helium and the 250-ton capacity airships will
use 14 million cubic feet of helium. Helium shortages have led to
drastic price increases in recent years and the current price of $65
per 1000 cubic feet is 89% higher than it was just 5 years ago. How
much would it have cost to fill a 250-ton capacity airship with
helium 5 years ago?
12. Every 1000 cubic feet of helium can lift
65.82 lbs. The lift provided by the helium will have to support both
the weight of the airship and its carrying capacity. How much
heavier will the 250-ton capacity airship be than the 66-ton
A. 110,000 pounds
B. 160,000 pounds
C. 420,000 pounds
D. 480,000 pounds
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