New SAT Math (Calculator) Practice Test 12
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refer to the following information.
One method of calculating the approximate age, in years, of a tree of a particular species is to multiply the diameter of the tree, in inches, by a constant called the growth factor for that species. The table above gives the growth factors for eight species of trees.
The scatterplot above gives the tree diameter plotted against age for 26 trees of a single species. The growth factor of this species is closest to that of which of the following species of tree?
Red maple
Cottonwood
White birch
Shagbark hickory
refer to the following information.
One method of calculating the approximate age, in years, of a tree of a particular species is to multiply the diameter of the tree, in inches, by a constant called the growth factor for that species. The table above gives the growth factors for eight species of trees.
According to the information in the table, what is the approximate age of an American elm tree with a diameter of 12 inches?
24 years
36 years
40 years
48 years
A polling agency recently surveyed 1,000 adults who were selected at random from a large city and asked each of the adults, “Are you satisfied with the quality of air in the city?” Of those surveyed, 78 percent responded that they were satisfied with the quality of air in the city. Based on the results of the survey, which of the following statements must be true?
I. Of all adults in the city, 78 percent are satisfied with the quality of air in the city.
II. If another 1,000 adults selected at random from the city were surveyed, 78 percent of them would report they are satisfied with the quality of air in the city.
III. If 1,000 adults selected at random from a different city were surveyed, 78 percent of them would report they are satisfied with the quality of air in the city.
None
II only
I and II only
I and III only
In a survey, 607 general surgeons and orthopedic surgeons indicated their major professional activity. The results are summarized in the table above. If one of the surgeons is selected at random, which of the following is closest to the probability that the selected surgeon is an orthopedic surgeon whose indicated professional activity is research?
0.122
0.196
0.318
0.379
y ≤ 3x + 1
x – y > 1
Which of the following ordered pairs (x, y) satisfies the system of inequalities above?
(−2, −1)
(−1, 3)
(1, 5)
(2, -1)
1⁄2y = 4
x – 1⁄2y = 2
The system of equations above has solution (x, y).What is the value of x ?
3
7⁄2
4
6
−2 + 3 = 6 x y
In the xy-plane, the graph of which of the following equations is perpendicular to the graph of the equation above?
3x + 2y = 6
3x + 4y = 6
2x + 4y = 6
2x + 6y = 3
The density d of an object is found by dividing the mass m of the object by its volume V. Which of the following equations gives the mass m in terms of d and V ?
m = dV
m = d⁄v
m = v⁄d
m = V + d
In the 1908 Olympic Games, the Olympic marathon was lengthened from 40 kilometers to approximately 42 kilometers. Of the following, which is closest to the increase in the distance of the Olympic marathon, in miles? (1 mile is approximately 1.6 kilometers.)
1.00
1.25
1.50
1.75
Which of the following is an equivalent form of (1.5x − 2.4)2 − (5.2x2 − 6.4)?
−2.2x2 + 1.6
−2.2x2 + 11.2
−2.95x2 − 7.2 + 12.16
−2.95x2 − 7.2 + 0.64
The mean score of 8 players in a basketball game was 14.5 points. If the highest individual score is removed, the mean score of the remaining 7 players becomes 12 points. What was the highest score?
20
24
32
36
The surface area of a cube is 6(a⁄4)2, where a is a positive constant. Which of the following gives the perimeter of one face of the cube?
a⁄4
a
4a
6a
A psychologist set up an experiment to study the tendency of a person to select the first item when presented with a series of items. In the experiment, 300 people were presented with a set of five pictures arranged in random order. Each person was asked to choose the most appealing picture. Of the first 150 participants, 36 chose the first picture in the set. Among the remaining 150 participants, p people chose the first picture in the set. If more than 20% of all participants chose the first picture in the set, which of the following inequalities best describes the possible values of p ?
p > 0.20 (300 − 36), where p ≤ 150
p > 0.20 (300 + 36), where p ≤ 150
p − 36 > 0.20 (300), where p ≤ 150
p + 36 > 0.20 (300), where p ≤ 150
refer to the following information.
The Townsend Realty Group invested in the five different properties listed in the table above. The table shows the amount, in dollars, the company paid for each property and the corresponding monthly rental price, in dollars, the company charges for the property at each of the five locations.
Townsend Realty purchased the Glenview Street property and received a 40% discount off the original price along with an additional 20% off the discounted price for purchasing the property in cash. Which of the following best approximates the original price, in dollars, of the Glenview Street property?
$350,000
$291,700
$233,300
$175,000
refer to the following information.
The Townsend Realty Group invested in the five different properties listed in the table above. The table shows the amount, in dollars, the company paid for each property and the corresponding monthly rental price, in dollars, the company charges for the property at each of the five locations.
The relationship between the monthly rental price r, in dollars, and the property’s purchase price p, in thousands of dollars, can be represented by a linear function. Which of the following functions represents the relationship?
r(p) = 2.5p − 870
r(p) = 5p + 165
r(p) = 6.5p + 440
r(p) = 7.5p − 10
In State X, Mr. Camp’s eighth-grade class consisting of 26 students was surveyed and 34.6 percent of the students reported that they had at least two siblings. The average eighth‑grade class size in the state is 26. If the students in Mr. Camp’s class are representative of students in the state’s eighth-grade classes and there are 1,800 eighth-grade classes in the state, which of the following best estimates the number of eighth‑grade students in the state who have fewer than two siblings?
16,200
23,400
30,600
46,800
In the equation above, if a is negative and b is positive, which of the following must be true?
c > 1
c = 1
c = −1
c < −1
The figure on the left above shows a wheel with a mark on its rim. The wheel is rolling on the ground at a constant rate along a level straight path from a starting point to an ending point. The graph of y = d(t) on the right could represent which of the following as a function of time from when the wheel began to roll?
The speed at which the wheel is rolling
The distance of the wheel from its starting point
The distance of the mark on the rim from the center of the wheel
The distance of the mark on the rim from the ground
In △ABC above, what is the length of ?
4
6
6√2
6√3
refer to the following information.
One method of calculating the approximate age, in years, of a tree of a particular species is to multiply the diameter of the tree, in inches, by a constant called the growth factor for that species. The table above gives the growth factors for eight species of trees.
If a white birch tree and a pin oak tree each now have a diameter of 1 foot, which of the following will be closest to the difference, in inches, of their diameters 10 years from now? (1 foot = 12 inches)
1.0
1.2
1.3
1.4
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