New SAT Math (Calculator) Practice Test 20
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h = − 4.9t2 + 25t
The equation above expresses the approximate height h, in meters, of a ball t seconds after it is launched vertically upward from the ground with an initial velocity of 25 meters per second. After approximately how many seconds will the ball hit the ground?
3.5
4.0
4.5
5.0
Which of the following is an equation of a circle in the xy-plane with center (0, 4) and a radius with endpoint (4⁄3,5)?
x2 + (y − 4)2 =
x2 + (y + 4)2 =
x2 + (y − 4)2 = 5⁄3
x2 + (y + 4)2 = 3⁄5
refer to the following information.
Annual Budgets for Different Programs in Kansas, 2007 to 2010
The table above lists the annual budget, in thousands of dollars, for each of six different state programs in Kansas from 2007 to 2010.
Of the following, which program’s ratio of its 2007 budget to its 2010 budget is closest to the human resources program’s ratio of its 2007 budget to its 2010 budget?
griculture/natural resources
Education
Highways and transportation
Public safety
refer to the following information.
Annual Budgets for Different Programs in Kansas, 2007 to 2010
The table above lists the annual budget, in thousands of dollars, for each of six different state programs in Kansas from 2007 to 2010.
Which of the following best approximates the average rate of change in the annual budget for agriculture/natural resources in Kansas from 2008 to 2010 ?
$50,000,000 per year
$65,000,000 per year
$75,000,000 per year
$130,000,000 per year
Dreams Recalled during One Week
The data in the table above were produced by a sleep researcher studying the number of dreams people recall when asked to record their dreams for one week. Group X consisted of 100 people who observed early bedtimes, and Group Y consisted of 100 people who observed later bedtimes. If a person is chosen at random from those who recalled at least 1 dream, what is the probability that the person belonged to Group Y ?
Alma bought a laptop computer at a store that gave a 20 percent discount off its original price. The total amount she paid to the cashier was p dollars, including an 8 percent sales tax on the discounted price. Which of the following represents the original price of the computer in terms of p ?
0.88p
(0.8)(1.08)p
A food truck sells salads for $6.50 each and drinks for $2.00 each. The food truck’s revenue from selling a total of 209 salads and drinks in one day was $836.50. How many salads were sold that day?
77
93
99
105
y < -x + ay > x + b
In the xy-plane, if (0, 0) is a solution to the system of inequalities above, which of the following relationships between a and b must be true?
a > b
b > a
|a] > |b|
a = -b
The complete graph of the function f is shown in the xy-plane above. For what value of x is the value of f(x) at its minimum?
−5
−3
−2
3
refer to the following information.
The graph above displays the total cost C, in dollars, of renting a boat for h hours.4
Which of the following represents the relationship between h and C ?
C = 5h
C = ⁄2+ 5
= 3h + 5
h = 3C
A dairy farmer uses a storage silo that is in the shape of the right circular cylinder above. If the volume of the silo is 72π cubic yards, what is the diameter of the base of the cylinder, in yards?
A local television station sells time slots for programs in 30-minute intervals. If the station operates 24 hours per day, every day of the week, what is the total number of 30-minute time slots the station can sell for Tuesday and Wednesday?
Number of Portable Media Players Sold Worldwide Each Year from 2006 to 2011
According to the line graph above, the number of portable media players sold in 2008 is what fraction of the number sold in 2011 ?
The posted weight limit for a covered wooden bridge in Pennsylvania is 6000 pounds. A delivery truck that is carrying x identical boxes each weighing 14 pounds will pass over the bridge. If the combine weight of the empty delivery truck and its driver is 4500 pounds, what is the maximum possible value for x that will keep the combined weight of the truck, driver, and boxes below the bridge’s posted weight limit?
Wyatt can husk at least 12 dozen ears of corn per hour and at most 18 dozen ears of corn per hour. Based on this information, what is a possible amount of time, in hours, that it could take Wyatt to husk 72 dozen ears of corn?
Which of the following is an equivalent form of the equation of the graph shown in the xy-plane above, from which the coordinates of vertex A can be identified as constants in the equation?
y = (x + 3)(x − 5)
y = (x − 3)(x + 5)
y = (x − 2) − 15
y = (x − 1) − 16
For a polynomial p(x), the value of p(3) is −2. Which of the following must be true about p(x) ?
x − 5 is a factor of p(x).
x − 2 is a factor of p(x).
x + 2 is a factor of p(x).
The remainder when p(x) is divided by x − 3 is −2.
If the system of inequalities y ≥ 2x +1 and y > 1⁄2x − 1 is graphed in the xy-plane above, which quadrant contains no solutions to the system?
Quadrant II
Quadrant III
Quadrant IV
There are solutions in all four quadrants.
A square field measures 10 meters by 10 meters. Ten students each mark off a randomly selected region of the field; each region is square and has side lengths of 1 meter, and no two regions overlap. The students count the earthworms contained in the soil to a depth of 5 centimeters beneath the ground’s surface in each region. The results are shown in the table below.
Which of the following is a reasonable approximation of the number of earthworms to a depth of 5 centimeters beneath the ground’s surface in the entire field?
150
1,500
15,000
150,000
Katarina is a botanist studying the production of pears by two types of pear trees. She noticed that Type A trees produced 20 percent more pears than Type B trees did. Based on Katarina’s observation, if the Type A trees produced 144 pears, how many pears did the Type B trees produce?
115
120
124
173
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