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154 Questions
Question 1 of 154
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SAT P5 0/154
Question 1 of 154   |  Statistics  · Level 1
The line graph above shows the number of 3-D movies released by year from \(2003\) to \(2011\) (vertical axis labeled in increments from \(0\) to \(50\)). According to the line graph above, between which two consecutive years was there the greatest change in the number of 3‑D movies released?
Question image
A
\(2003\)–\(2004\)
B
\(2008\)–\(2009\)
C
\(2009\)–\(2010\)
D
\(2010\)–\(2011\)
Question 2 of 154   |  Algebra  · Level 1
Some values of the linear function \(f\) are shown in the table above: \(f(1) = 5\), \(f(3) = 13\), and \(f(5) = 21\). Which of the following defines \(f\) ?
A
\(f(x) = 2x + 3\)
B
\(f(x) = 3x + 2\)
C
\(f(x) = 4x + 1\)
D
\(f(x) = 5x\)
Question 3 of 154   |  Ratios, Rates and Percentages  · Level 1
To make a bakery's signature chocolate muffins, a baker needs \(2.5\) ounces of chocolate for each muffin. How many pounds of chocolate are needed to make \(48\) signature chocolate muffins? (\(1\) pound \(= 16\) ounces)
A
\(7.5\)
B
\(10\)
C
\(50.5\)
D
\(120\)
Question 4 of 154   |  Algebra  · Level 1
If \(3(c + d) = 5\), what is the value of \(c + d\) ?
A
\(\dfrac{3}{5}\)
B
\(\dfrac{5}{3}\)
C
\(3\)
D
\(5\)
Question 5 of 154   |  Ratios, Rates and Percentages  · Level 1
The weight of an object on Venus is approximately \(\dfrac{9}{10}\) of its weight on Earth. The weight of an object on Jupiter is approximately \(\dfrac{23}{10}\) of its weight on Earth. If an object weighs \(100\) pounds on Earth, approximately how many more pounds does it weigh on Jupiter than it weighs on Venus?
A
\(90\)
B
\(111\)
C
\(140\)
D
\(230\)
Question 6 of 154   |  Algebra  · Level 2
An online bookstore sells novels and magazines. Each novel sells for \$4, and each magazine sells for \$1. If Sadie purchased a total of \(11\) novels and magazines that have a combined selling price of \$20, how many novels did she purchase?
A
\(2\)
B
\(3\)
C
\(4\)
D
\(5\)
Question 7 of 154   |  Algebra  · Level 2
The Downtown Business Association (DBA) in a certain city plans to increase its membership by a total of \(n\) businesses per year. There were \(b\) businesses in the DBA at the beginning of this year. Which function best models the total number of businesses, \(y\), the DBA plans to have as members \(x\) years from now?
A
\(y = nx + b\)
B
\(y = nx - b\)
C
\(y = b(n)^x\)
D
\(y = n(b)^x\)
Question 8 of 154   |  Advanced Math  · Level 2
Which of the following is an equivalent form of \((1.5x - 2.4)^2 - (5.2x^2 - 6.4)\) ?
A
\(-2.2x^2 + 1.6\)
B
\(-2.2x^2 + 11.2\)
C
\(-2.95x^2 - 7.2x + 12.16\)
D
\(-2.95x^2 - 7.2x + 0.64\)
Question 9 of 154   |  Ratios, Rates and Percentages  · Level 2
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.)
A
\(1.00\)
B
\(1.25\)
C
\(1.50\)
D
\(1.75\)
Question 10 of 154   |  Algebra  · Level 2
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 \(V\) ?
A
\(m = dV\)
B
\(m = \dfrac{d}{V}\)
C
\(m = \dfrac{V}{d}\)
D
\(m = V + d\)
Question 11 of 154   |  Algebra  · Level 2
In the \(xy\)-plane, the graph of which of the following equations is perpendicular to the graph of the equation \(-2x + 3y = 6\) ?
A
\(3x + 2y = 6\)
B
\(3x + 4y = 6\)
C
\(2x + 4y = 6\)
D
\(2x + 6y = 3\)
Question 12 of 154   |  Algebra  · Level 2
The system of equations \(\dfrac{1}{2}y = 4x - 1\) and \(\dfrac{1}{2}y = 2\) has solution \((x, y)\). What is the value of \(x\) ?
A
\(3\)
B
\(\dfrac{7}{2}\)
C
\(4\)
D
\(6\)
Question 13 of 154   |  Algebra  · Level 3
Which of the following ordered pairs \((x, y)\) satisfies the system of inequalities \(y \leq 3x + 1\) and \(x - y > 1\) ?
A
\((-2, -1)\)
B
\((-1, 3)\)
C
\((1, 5)\)
D
\((2, -1)\)
Question 14 of 154   |  Probability  · Level 3
In a survey, \(607\) general surgeons and orthopedic surgeons indicated their major professional activity. The results are summarized in the table above. Among general surgeons, \(258\) indicated teaching and \(156\) indicated research (total \(414\)); among orthopedic surgeons, \(119\) indicated teaching and \(74\) indicated research (total \(193\)). The column totals are \(377\) for teaching and \(230\) for research. 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?
A
\(0.122\)
B
\(0.196\)
C
\(0.318\)
D
\(0.379\)
Question 15 of 154   |  Statistics  · Level 3
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.
A
None
B
II only
C
I and II only
D
I and III only
Question 16 of 154   |  Ratios, Rates and Percentages  · Level 3
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 gives the growth factors for eight species of trees: Red maple \(4.5\), River birch \(3.5\), Cottonwood \(2.0\), Black walnut \(4.5\), White birch \(5.0\), American elm \(4.0\), Pin oak \(3.0\), Shagbark hickory \(7.5\). According to the information in the table, what is the approximate age of an American elm tree with a diameter of \(12\) inches?
A
\(24\) years
B
\(36\) years
C
\(40\) years
D
\(48\) years
Question 17 of 154   |  Statistics  · Level 3
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? (Growth factors: Red maple \(4.5\), Cottonwood \(2.0\), White birch \(5.0\), Shagbark hickory \(7.5\).)
Question image
A
Red maple
B
Cottonwood
C
White birch
D
Shagbark hickory
Question 18 of 154   |  Ratios, Rates and Percentages  · Level 3
If a white birch tree (growth factor \(5.0\)) and a pin oak tree (growth factor \(3.0\)) 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)
A
\(1.0\)
B
\(1.2\)
C
\(1.3\)
D
\(1.4\)
Question 19 of 154   |  Geometry  · Level 3
In \(\triangle A B C\) above, with \(\angle B = 30^{\circ}\), \(\angle C = 60^{\circ}\), and \(B C = 12\), what is the length of \(A D\)?
A
\(4\)
B
\(6\)
C
\(6 \sqrt{2}\)
D
\(6 \sqrt{3}\)
Question 20 of 154   |  Advanced Math  · Level 3
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?
A
The speed at which the wheel is rolling
B
The distance of the wheel from its starting point
C
The distance of the mark on the rim from the center of the wheel
D
The distance of the mark on the rim from the ground
Question 21 of 154   |  Algebra  · Level 3
In the equation \(\dfrac{a}{b} = \dfrac{a}{c}\) above, if \(a\) is negative and \(b\) is positive, which of the following must be true?
A
\(c > 1\)
B
\(c = 1\)
C
\(c = -1\)
D
\(c < -1\)
Question 22 of 154   |  Statistics  · Level 3
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?
A
16,200
B
23,400
C
30,600
D
46,800
Question 23 of 154   |  Algebra  · Level 3
The Townsend Realty Group invested in five different properties. The table shows the purchase price, in dollars, and the corresponding monthly rental price, in dollars: Clearwater Lane 128,000 / 950; Driftwood Drive 176,000 / 1,310; Edgemont Street 70,000 / 515; Glenview Street 140,000 / 1,040; Hamilton Circle 450,000 / 3,365. 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?
A
\(r(p) = 2.5p - 870\)
B
\(r(p) = 5p + 165\)
C
\(r(p) = 6.5p + 440\)
D
\(r(p) = 7.5p - 10\)
Question 24 of 154   |  Ratios, Rates and Percentages  · Level 3
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?
A
\$350,000
B
\$291,700
C
\$233,300
D
\$175,000
Question 25 of 154   |  Algebra  · Level 3
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 \(p\)?
A
\(p > 0.20(300) - 36\), where \(p \leq 150\)
B
\(p > 0.20(300) + 36\), where \(p \leq 150\)
C
\(p - 36 > 0.20(300)\), where \(p \leq 150\)
D
\(p + 36 > 0.20(300)\), where \(p \leq 150\)
Question 26 of 154   |  Geometry  · Level 3
The surface area of a cube is \(6\left(\dfrac{a}{4}\right)^2\), where \(a\) is a positive constant. Which of the following gives the perimeter of one face of the cube?
A
\(4a\)
B
\(a\)
C
\(\dfrac{a}{4}\)
D
\(\dfrac{a}{6}\)
Question 27 of 154   |  Statistics  · Level 4
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?
A
\(20\)
B
\(24\)
C
\(32\)
D
\(36\)
Question 28 of 154   |  Algebra  · Level 4
The graph of the linear function \(f\) is shown in the \(x y\)-plane above. The slope of the graph of the linear function \(g\) is \(4\) times the slope of the graph of \(f\). If the graph of \(g\) passes through the point \((0, -4)\), what is the value of \(g(9)\)?
Question image
A
\(5\)
B
\(9\)
C
\(14\)
D
\(18\)
Question 29 of 154   |  Geometry  · Level 4
\(x^2 + 20x + y^2 + 16y = -20\) The equation above defines a circle in the \(x y\)-plane. What are the coordinates of the center of the circle?
A
\((-20, -16)\)
B
\((-10, -8)\)
C
\((10, 8)\)
D
\((20, 16)\)
Question 30 of 154   |  Advanced Math  · Level 4
\(y = x^2 - a\) In the equation above, \(a\) is a positive constant and the graph of the equation in the \(x y\)-plane is a parabola. Which of the following is an equivalent form of the equation?
A
\(y = (x + a)(x - a)\)
B
\(y = (x + \sqrt{a})(x - \sqrt{a})\)
C
\(y = \left(x + \dfrac{a}{2}\right)\left(x - \dfrac{a}{2}\right)\)
D
\(y = (x + a)^2\)
Question 31 of 154   |  Ratios, Rates and Percentages  · Level 4

Student-produced response directions

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  • Don't enter symbols such as a percent sign, comma, or dollar sign.
Examples
AnswerAcceptable entry
3.53.5 · 3.50 · 7/2
2/32/3 · .6666 · .6667 · 0.666 · 0.667
-1/3-1/3 · -.3333 · -0.333
Horsepower and watts are units of measure of power. They are directly proportional such that \(5\) horsepower is equal to \(3730\) watts. How much power, in watts, is equal to \(2\) horsepower?
Answer:

Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.

Question 32 of 154   |  Ratios, Rates and Percentages  · Level 4

Student-produced response directions

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Examples
AnswerAcceptable entry
3.53.5 · 3.50 · 7/2
2/32/3 · .6666 · .6667 · 0.666 · 0.667
-1/3-1/3 · -.3333 · -0.333
The painting The Starry Night by Vincent van Gogh is rectangular in shape with height \(29\) inches and width \(36.25\) inches. If a reproduction was made where each dimension is \(\dfrac{1}{3}\) the corresponding original dimension, what is the height of the reproduction, in inches?
Answer:

Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.

Question 33 of 154   |  Algebra  · Level 4

Student-produced response directions

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Examples
AnswerAcceptable entry
3.53.5 · 3.50 · 7/2
2/32/3 · .6666 · .6667 · 0.666 · 0.667
-1/3-1/3 · -.3333 · -0.333
In the figure above, points \(P\), \(Q\), \(R\), and \(S\) lie on a line, with \(PQ = x\), \(QR = x - 1\), and \(RS = 3x - 7\). (Note: Figure not drawn to scale.) On \(\overline{PS}\), \(PQ = RS\). What is the length of \(PS\)?
Answer:

Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.

Question 34 of 154   |  Advanced Math  · Level 5

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Examples
AnswerAcceptable entry
3.53.5 · 3.50 · 7/2
2/32/3 · .6666 · .6667 · 0.666 · 0.667
-1/3-1/3 · -.3333 · -0.333
In the \(x y\)-plane, the point \((2, 5)\) lies on the graph of the function \(f\). If \(f(x) = k - x^2\), where \(k\) is a constant, what is the value of \(k\)?
Answer:

Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.

Question 35 of 154   |  Advanced Math  · Level 5

Student-produced response directions

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Examples
AnswerAcceptable entry
3.53.5 · 3.50 · 7/2
2/32/3 · .6666 · .6667 · 0.666 · 0.667
-1/3-1/3 · -.3333 · -0.333
A landscaper is designing a rectangular garden. The length of the garden is to be \(5\) feet longer than the width. If the area of the garden will be \(104\) square feet, what will be the length, in feet, of the garden?
Answer:

Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.

Question 36 of 154   |  Geometry  · Level 5

Student-produced response directions

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Examples
AnswerAcceptable entry
3.53.5 · 3.50 · 7/2
2/32/3 · .6666 · .6667 · 0.666 · 0.667
-1/3-1/3 · -.3333 · -0.333
Point \(P\) is the center of the circle in the figure above. In the figure, two angles each measure \(20^{\circ}\) and another angle measures \(x^{\circ}\). What is the value of \(x\)?
Question image
Answer:

Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.

Question 37 of 154   |  Ratios, Rates and Percentages  · Level 5

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Examples
AnswerAcceptable entry
3.53.5 · 3.50 · 7/2
2/32/3 · .6666 · .6667 · 0.666 · 0.667
-1/3-1/3 · -.3333 · -0.333
Ms. Simon drives her car from her home to her workplace every workday morning. The table shows the distance, in miles, and her average driving speed, in miles per hour (mph), when there is no traffic delay, for each segment of her drive. From home to freeway entrance: \(0.6\) miles at \(25\) mph. From freeway entrance to freeway exit: \(15.4\) miles at \(50\) mph. From freeway exit to workplace: \(1.4\) miles at \(35\) mph. One morning, Ms. Simon drove directly from her home to her workplace in \(24\) minutes. What was her average speed, in miles per hour, during her drive that morning?
Answer:

Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.

Question 38 of 154   |  Ratios, Rates and Percentages  · Level 5

Student-produced response directions

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Examples
AnswerAcceptable entry
3.53.5 · 3.50 · 7/2
2/32/3 · .6666 · .6667 · 0.666 · 0.667
-1/3-1/3 · -.3333 · -0.333
Ms. Simon drives her car from her home to her workplace every workday morning. The table shows the distance, in miles, and her average driving speed, in miles per hour (mph), when there is no traffic delay, for each segment of her drive. From home to freeway entrance: \(0.6\) miles at \(25\) mph. From freeway entrance to freeway exit: \(15.4\) miles at \(50\) mph. From freeway exit to workplace: \(1.4\) miles at \(35\) mph. If Ms. Simon starts her drive at 6:30 a.m., she can drive at her average driving speed with no traffic delay for each segment of the drive. If she starts her drive at 7:00 a.m., the travel time from the freeway entrance to the freeway exit increases by \(33%\) due to slower traffic, but the travel time for each of the other two segments of her drive does not change. Based on the table, how many more minutes does Ms. Simon take to arrive at her workplace if she starts her drive at 7:00 a.m. than if she starts her drive at 6:30 a.m.? (Round your answer to the nearest minute.)
Answer:

Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.

Question 39 of 154   |  Algebra  · Level 1
Which of the following is an equation of line \(\ell\) in the \(x y\)-plane above?
A
\(x = 1\)
B
\(y = 1\)
C
\(y = x\)
D
\(y = x + \dfrac{1}{2}\)
Question 40 of 154   |  Geometry  · Level 1
The circle above with center \(O\) has a circumference of \(36\). What is the length of minor arc \(A C\)?
Question image
A
\(9\)
B
\(12\)
C
\(18\)
D
\(36\)
Question 41 of 154   |  Advanced Math  · Level 1
What are the solutions of the quadratic equation \(4x^2 - 8x - 12 = 0\)?
A
\(x = -1\) and \(x = -3\)
B
\(x = -1\) and \(x = 3\)
C
\(x = 1\) and \(x = -3\)
D
\(x = 1\) and \(x = 3\)
Question 42 of 154   |  Advanced Math  · Level 2
Which of the following is an example of a function whose graph in the \(x y\)-plane has no \(x\)-intercepts?
A
A linear function whose rate of change is not zero
B
A quadratic function with real zeros
C
A quadratic function with no real zeros
D
A cubic polynomial with at least one real zero
Question 43 of 154   |  Advanced Math  · Level 2
\(\sqrt{k + 2} - x = 0\) In the equation above, \(k\) is a constant. If \(x = 9\), what is the value of \(k\)?
A
\(1\)
B
\(7\)
C
\(16\)
D
\(79\)
Question 44 of 154   |  Advanced Math  · Level 2
Which of the following is equivalent to the sum of the expressions \(a^2 - 1\) and \(a + 1\)?
A
\(a^2 + a\)
B
\(a^3 - 1\)
C
\(2a^2\)
D
\(a^3\)
Question 45 of 154   |  Algebra  · Level 2
Jackie has two summer jobs. She works as a tutor, which pays \$12 per hour, and she works as a lifeguard, which pays \$9.50 per hour. She can work no more than \(20\) hours per week, but she wants to earn at least \$220 per week. Which of the following systems of inequalities represents this situation in terms of \(x\) and \(y\), where \(x\) is the number of hours she tutors and \(y\) is the number of hours she works as a lifeguard?
A
\(12x + 9.5y \leq 220\), \(x + y \geq 20\)
B
\(12x + 9.5y \leq 220\), \(x + y \leq 20\)
C
\(12x + 9.5y \geq 220\), \(x + y \leq 20\)
D
\(12x + 9.5y \geq 220\), \(x + y \geq 20\)
Question 46 of 154   |  Algebra  · Level 3
In air, the speed of sound \(S\), in meters per second, is a linear function of the air temperature \(T\), in degrees Celsius, and is given by \(S(T) = 0.6T + 331.4\). Which of the following statements is the best interpretation of the number \(331.4\) in this context?
A
The speed of sound, in meters per second, at \(0\)°C
B
The speed of sound, in meters per second, at \(0.6\)°C
C
The increase in the speed of sound, in meters per second, that corresponds to an increase of \(1\)°C
D
The increase in the speed of sound, in meters per second, that corresponds to an increase of \(0.6\)°C
Question 47 of 154   |  Advanced Math  · Level 3
\(y = 2x + 6\), \(y = 2(x + 3)^2\) If \((x, y)\) is a solution of the system of equations above and \(x > 0\), what is the value of \(x y\)?
A
\(1\)
B
\(2\)
C
\(3\)
D
\(9\)
Question 48 of 154   |  Advanced Math  · Level 3
If \(a^2 + b^2 = z\) and \(a b = y\), which of the following is equivalent to \(4z + 8y\)?
A
\((a + 2b)^2\)
B
\((2a + 2b)^2\)
C
\((4a + 4b)^2\)
D
\((4a + 8b)^2\)
Question 49 of 154   |  Geometry  · Level 3
The volume of right circular cylinder \(A\) is \(22\) cubic centimeters. What is the volume, in cubic centimeters, of a right circular cylinder with twice the radius and half the height of cylinder \(A\)?
A
\(11\)
B
\(22\)
C
\(44\)
D
\(66\)
Question 50 of 154   |  Advanced Math  · Level 3
Which of the following is equivalent to \(9^{\dfrac{3}{4}}\)?
A
\(\sqrt[3]{9}\)
B
\(\sqrt[4]{9}\)
C
\(3\)
D
\(3 \sqrt{3}\)
Question 51 of 154   |  Algebra  · Level 3
At a restaurant, \(n\) cups of tea are made by adding \(t\) tea bags to hot water. If \(t = n + 2\), how many additional tea bags are needed to make each additional cup of tea?
A
None
B
One
C
Two
D
Three
Question 52 of 154   |  Advanced Math  · Level 4
\(f(x) = 2^x + 1\) The function \(f\) is defined by the equation above. Which of the following is the graph of \(y = -f(x)\) in the \(x y\)-plane?
A
(graph in the \(x y\)-plane)
B
(graph in the \(x y\)-plane)
C
(graph in the \(x y\)-plane)
D
(graph in the \(x y\)-plane)
Question 53 of 154   |  Ratios, Rates and Percentages  · Level 4
Alan drives an average of \(100\) miles each week. His car can travel an average of \(25\) miles per gallon of gasoline. Alan would like to reduce his weekly expenditure on gasoline by \$5. Assuming gasoline costs \$4 per gallon, which equation can Alan use to determine how many fewer average miles, \(m\), he should drive each week?
A
\(\dfrac{m}{25} \cdot 4 = 95\)
B
\(\dfrac{m}{25} \cdot 4 = 5\)
C
\(\dfrac{m}{4} \cdot 25 = 95\)
D
\(\dfrac{m}{4} \cdot 25 = 5\)
Question 54 of 154   |  Algebra  · Level 4

Student-produced response directions

  • If you find more than one correct answer, enter only one answer.
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  • If your answer is a fraction that doesn't fit in the provided space, enter the decimal equivalent.
  • If your answer is a decimal that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.
  • If your answer is a mixed number (such as 3½), enter it as an improper fraction (7/2) or its decimal equivalent (3.5).
  • Don't enter symbols such as a percent sign, comma, or dollar sign.
Examples
AnswerAcceptable entry
3.53.5 · 3.50 · 7/2
2/32/3 · .6666 · .6667 · 0.666 · 0.667
-1/3-1/3 · -.3333 · -0.333
Maria plans to rent a boat. The boat rental costs \$60 per hour, and she will also have to pay for a water safety course that costs \$10. Maria wants to spend no more than \$280 for the rental and the course. If the boat rental is available only for a whole number of hours, what is the maximum number of hours for which Maria can rent the boat?
Answer:

Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.

Question 55 of 154   |  Algebra  · Level 4

Student-produced response directions

  • If you find more than one correct answer, enter only one answer.
  • You can enter up to 5 characters for a positive answer and up to 6 characters (including the negative sign) for a negative answer.
  • If your answer is a fraction that doesn't fit in the provided space, enter the decimal equivalent.
  • If your answer is a decimal that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.
  • If your answer is a mixed number (such as 3½), enter it as an improper fraction (7/2) or its decimal equivalent (3.5).
  • Don't enter symbols such as a percent sign, comma, or dollar sign.
Examples
AnswerAcceptable entry
3.53.5 · 3.50 · 7/2
2/32/3 · .6666 · .6667 · 0.666 · 0.667
-1/3-1/3 · -.3333 · -0.333
\(2(p + 1) + 8(p - 1) = 5p\) What value of \(p\) is the solution of the equation above?
Answer:

Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.

Question 56 of 154   |  Advanced Math  · Level 5

Student-produced response directions

  • If you find more than one correct answer, enter only one answer.
  • You can enter up to 5 characters for a positive answer and up to 6 characters (including the negative sign) for a negative answer.
  • If your answer is a fraction that doesn't fit in the provided space, enter the decimal equivalent.
  • If your answer is a decimal that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.
  • If your answer is a mixed number (such as 3½), enter it as an improper fraction (7/2) or its decimal equivalent (3.5).
  • Don't enter symbols such as a percent sign, comma, or dollar sign.
Examples
AnswerAcceptable entry
3.53.5 · 3.50 · 7/2
2/32/3 · .6666 · .6667 · 0.666 · 0.667
-1/3-1/3 · -.3333 · -0.333
\(x + frac(1,2) y = frac(21,2)\) \(y = 2x\) The system of equations above has solution \((x, y)\). What is the value of \(x\)?
Answer:

Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.

Question 57 of 154   |  Advanced Math  · Level 5

Student-produced response directions

  • If you find more than one correct answer, enter only one answer.
  • You can enter up to 5 characters for a positive answer and up to 6 characters (including the negative sign) for a negative answer.
  • If your answer is a fraction that doesn't fit in the provided space, enter the decimal equivalent.
  • If your answer is a decimal that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.
  • If your answer is a mixed number (such as 3½), enter it as an improper fraction (7/2) or its decimal equivalent (3.5).
  • Don't enter symbols such as a percent sign, comma, or dollar sign.
Examples
AnswerAcceptable entry
3.53.5 · 3.50 · 7/2
2/32/3 · .6666 · .6667 · 0.666 · 0.667
-1/3-1/3 · -.3333 · -0.333
\(\dfrac{2x^2 + 6x + 2}{x + 2} - \dfrac{2}{x + 2}\) The expression above is equivalent to \(\dfrac{a}{(x + 2)^2}\), where \(a\) is a positive constant and \(x \neq -2\). What is the value of \(a\)?
Answer:

Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.

Question 58 of 154   |  Geometry  · Level 5

Student-produced response directions

  • If you find more than one correct answer, enter only one answer.
  • You can enter up to 5 characters for a positive answer and up to 6 characters (including the negative sign) for a negative answer.
  • If your answer is a fraction that doesn't fit in the provided space, enter the decimal equivalent.
  • If your answer is a decimal that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.
  • If your answer is a mixed number (such as 3½), enter it as an improper fraction (7/2) or its decimal equivalent (3.5).
  • Don't enter symbols such as a percent sign, comma, or dollar sign.
Examples
AnswerAcceptable entry
3.53.5 · 3.50 · 7/2
2/32/3 · .6666 · .6667 · 0.666 · 0.667
-1/3-1/3 · -.3333 · -0.333
Intersecting lines \(r\), \(s\), and \(t\) are shown below. The angles formed measure \(23°\), \(106°\), and \(x°\). What is the value of \(x\)?
Answer:

Enter integer, decimal, or fraction (e.g. 3/4). Do not enter mixed numbers.

Question 59 of 154   |  Craft and Structure  · Level 1
This passage is adapted from William Maxwell, The Folded Leaf (1945), in which a character named Lymie reads a history book while eating dinner at the Alcazar Restaurant and observes other patrons, including his father, Mr. Peters. Over the course of the passage, the primary focus shifts from
Question image Question image Question image Question image
A
Lymie's inner thoughts to observations made by the other characters.
B
an exchange between strangers to a satisfying personal relationship.
C
the physical setting of the scene to the different characters' personality traits.
D
Lymie's experience reading a book to descriptions of people in the restaurant.
Question 60 of 154   |  Craft and Structure  · Level 1
The first paragraph describes the Alcazar Restaurant on Sheridan Road, its art moderne decoration, and the history book Lymie props against the catsup and sugar bowl. The main purpose of the first paragraph is to
A
introduce the passage's main character by showing his nightly habits.
B
indicate the date the passage takes place by presenting period details.
C
convey the passage's setting by describing a place and an object.
D
foreshadow an event that is described in detail later in the passage.
Question 61 of 154   |  Information and Ideas  · Level 1
When Lymie puts down his fork and begins to count off the rulers at the Congress of Vienna on the fingers of his left hand, the waitress Irma tries to take his plate away. It can reasonably be inferred that Irma, the waitress, thinks Lymie is "through eating" (line 37) because
A
he has begun reading his book.
B
his plate is empty.
C
he is no longer holding his fork.
D
he has asked her to clear the table.
Question 62 of 154   |  Information and Ideas  · Level 1
A party of four enters the restaurant talking all at once, laughing too loudly, and speaking in voices that cause Lymie to lose his place in his book. Lymie's primary impression of the "party of four" (line 42) is that they
A
are noisy and distracting.
B
are a refreshing change from the other customers.
C
resemble characters from his history book.
D
represent glamour and youth.
Question 63 of 154   |  Information and Ideas  · Level 1
Which choice provides the best evidence for the answer to the previous question?
Question image Question image Question image Question image
A
Lines 45-47 (“The women . . . down”)
B
Lines 47-52 (“One . . . was”)
C
Lines 55-59 (“But . . . them”)
D
Line 69 (“Lymie . . . book”)
Question 64 of 154   |  Information and Ideas  · Level 1
The narrator indicates that Lymie finally closes the history book because
Question image Question image Question image Question image
A
his father has joined him at the table.
B
the people at the other table are too disruptive.
C
he has finished the chapter about the Congress.
D
he is preparing to leave the restaurant.
Question 65 of 154   |  Information and Ideas  · Level 1
The primary impression created by the narrator’s description of Mr. Peters in lines 74-79 is that he is
Question image Question image Question image Question image
A
healthy and fit.
B
angry and menacing.
C
nervous and hesitant.
D
aging and shriveled.
Question 66 of 154   |  Information and Ideas  · Level 2
The main idea of the last paragraph is that Mr. Peters
Question image Question image Question image Question image
A
neglects to spend any time with his family members.
B
behaves as if he is a younger version of himself.
C
is very conscious of symbols of wealth and power.
D
is preoccupied with the knowledge that he is growing old.
Question 67 of 154   |  Information and Ideas  · Level 2
Which choice best supports the conclusion that Mr. Peters wants to attract attention?
Question image Question image Question image Question image
A
Lines 80-81 (“Apparently . . . change”)
B
Lines 81-85 (“He straightened . . . hand”)
C
Lines 90-91 (“The young . . . Mr. Peters”)
D
Lines 91-93 (“He was . . . forty-five”)
Question 68 of 154   |  Craft and Structure  · Level 2
As used in line 93, “becoming” most nearly means
Question image Question image Question image Question image
A
emerging.
B
fitting.
C
developing.
D
happening.
Question 69 of 154   |  Information and Ideas  · Level 2
In Passage 1, Beecher makes which point about the status of women relative to that of men?
Question image Question image
A
Women depend on men for their safety and security, but men are largely independent of women.
B
Women are inferior to men, but women play a role as significant as that played by men.
C
Women have fewer rights than men do, but women also have fewer responsibilities.
D
Women are superior to men, but tradition requires women to obey men.
Question 70 of 154   |  Information and Ideas  · Level 2
Which choice provides the best evidence for the answer to the previous question?
Question image Question image
A
Lines 6-10 (“But . . . all-pervading”)
B
Lines 13-14 (“A man . . . debate”)
C
Lines 16-18 (“he may coerce . . . sphere”)
D
Lines 41-46 (“but whatever . . . sphere”)
Question 71 of 154   |  Information and Ideas  · Level 2
In Passage 1, Beecher implies that women’s effect on public life is largely
Question image Question image
A
overlooked, because few men are interested in women’s thoughts about politics.
B
indirect, because women exert their influence within the home and family life.
C
unnecessary, because men are able to govern society themselves.
D
symbolic, because women tend to be more idealistic about politics than men are.
Question 72 of 154   |  Craft and Structure  · Level 2
As used in line 2, “station” most nearly means
Question image Question image
A
region.
B
studio.
C
district.
D
rank.
Question 73 of 154   |  Craft and Structure  · Level 2
As used in line 12, “peculiar” most nearly means
Question image Question image
A
eccentric.
B
surprising.
C
distinctive.
D
infrequent.
Question 74 of 154   |  Information and Ideas  · Level 2
What is Grimké’s central claim in Passage 2?
Question image Question image
A
The rights of individuals are not determined by race or gender.
B
Men and women must learn to work together to improve society.
C
Moral rights are the most important distinction between human beings and animals.
D
Men and women should have equal opportunities to flourish.
Question 75 of 154   |  Information and Ideas  · Level 2
In Passage 2, Grimké makes which point about human rights?
Question image Question image
A
They are viewed differently in various cultures around the world.
B
They retain their moral authority regardless of whether they are recognized by law.
C
They are sometimes at odds with moral responsibilities.
D
They have become more advanced and refined throughout history.
Question 76 of 154   |  Information and Ideas  · Level 3
Which choice provides the best evidence for the answer to the previous question?
Question image Question image
A
Lines 58-61 (“Human . . . same rights”)
B
Lines 61-65 (“These . . . imperishable”)
C
Lines 71-76 (“To suppose . . . property”)
D
Lines 77-81 (“When . . . nothingness”)
Question 77 of 154   |  Craft and Structure  · Level 3
Which choice best states the relationship between the two passages?
Question image Question image
A
Passage 2 illustrates the practical difficulties of a proposal made in Passage 1.
B
Passage 2 takes issue with the primary argument of Passage 1.
C
Passage 2 provides a historical context for the perspective offered in Passage 1.
D
Passage 2 elaborates upon several ideas implied in Passage 1.
Question 78 of 154   |  Craft and Structure  · Level 3
Based on the passages, both authors would agree with which of the following claims?
Question image Question image
A
Women have moral duties and responsibilities.
B
Men often work selflessly for political change.
C
The ethical obligations of women are often undervalued.
D
Political activism is as important for women as it is for men.
Question 79 of 154   |  Craft and Structure  · Level 3
Beecher would most likely have reacted to lines 65-68 (“Now . . . woman”) of Passage 2 with
Question image Question image
A
sympathy, because she feels that human beings owe each other a debt to work together in the world.
B
agreement, because she feels that human responsibilities are a natural product of human rights.
C
dismay, because she feels that women actually have a more difficult role to play in society than men do.
D
disagreement, because she feels that the natures of men and women are fundamentally different.
Question 80 of 154   |  Craft and Structure  · Level 3
As used in line 14, "simple" most nearly means
Question image Question image Question image Question image Question image
A
straightforward.
B
modest.
C
unadorned.
D
easy.
Question 81 of 154   |  Information and Ideas  · Level 3
According to the passage, a significant attribute of conventional agriculture is its ability to
Question image Question image Question image Question image Question image
A
produce a wide variety of fruits and vegetables.
B
maximize the output of cultivated land.
C
satisfy the dietary needs of the world's population.
D
lessen the necessity of nitrogen in plant growth.
Question 82 of 154   |  Information and Ideas  · Level 3
Which choice best reflects the perspective of the "environmentalists" (line 27) on conventional agriculture?
Question image Question image Question image Question image Question image
A
It produces inferior fruits and vegetables and is detrimental to the environment.
B
It is energy efficient and reduces the need to convert wilderness to farmland.
C
It is good for the environment only in the short run.
D
It depletes critical resources but protects wildlife habitats.
Question 83 of 154   |  Information and Ideas  · Level 3
Which choice provides the best evidence for the answer to the previous question?
Question image Question image Question image Question image Question image
A
Lines 27-28 ("Of course . . . green")
B
Lines 28-31 ("They . . . corporations")
C
Lines 31-35 ("Environmentalists . . . sustainable")
D
Lines 42-45 ("More . . . think")
Question 84 of 154   |  Information and Ideas  · Level 3
Which statement best expresses a relationship between organic farming and conventional farming that is presented in the passage?
Question image Question image Question image Question image Question image
A
Both are equally sustainable, but they differ dramatically in the amount of land they require to produce equivalent yields.
B
Both rely on artificial chemicals for pest control, but organic farmers use the chemicals sparingly in conjunction with natural remedies.
C
Both use nitrogen to encourage plant growth, but the nitrogen used in conventional farming comes from synthetic sources.
D
Both create a substantial amount of nitrogen runoff, but only the type of nitrogen found in fertilizers used in conventional farming can be dangerous.
Question 85 of 154   |  Information and Ideas  · Level 3
Which choice provides the best evidence for the answer to the previous question?
Question image Question image Question image Question image Question image
A
Lines 13-14 ("Conventional . . . basis")
B
Lines 22-26 ("And since . . . environment")
C
Lines 51-53 ("They . . . widely")
D
Lines 61-65 ("Conventional . . . farming")
Question 86 of 154   |  Information and Ideas  · Level 3
According to Foley, an "ideal global agriculture system" (line 80)
Question image Question image Question image Question image Question image
A
focuses primarily on yield percentages and global markets.
B
considers multiple factors in the selection of farming techniques.
C
weighs the economic interests of farmers against the needs of consumers.
D
puts the nutritional value of produce first and foremost.
Question 87 of 154   |  Craft and Structure  · Level 3
In line 88, "sheer" most nearly means
Question image Question image Question image Question image Question image
A
transparent.
B
abrupt.
C
steep.
D
pure.
Question 88 of 154   |  Information and Ideas  · Level 3
Which statement is best supported by the information provided in figure 1?
Question image Question image Question image Question image Question image
A
The organic yield as a percentage of conventional yield is greater for vegetables than for fruits.
B
The organic yield as a percentage of conventional yield is similar for cereals and all crops.
C
The reported number of observations for each crop type exceeds 82.
D
The organic yield as a percentage of conventional yield is greater for vegetable crops than it is for oilseed crops.
Question 89 of 154   |  Information and Ideas  · Level 3
Which of the following claims is supported by figure 2?
Question image Question image Question image Question image Question image
A
Of the organically grown species represented, soybeans have the lowest yield.
B
The organically grown maize and barley represented are comparable in their yields to conventionally grown maize and barley.
C
Of the organically grown species represented, tomatoes have the highest yield.
D
The organically grown species represented have lower yields than their conventionally grown counterparts do.
Question 90 of 154   |  Craft and Structure  · Level 3
Over the course of the passage, the main focus shifts from a discussion of an experiment and its results to
Question image Question image Question image Question image
A
an explanation of the practical applications of the results.
B
a consideration of the questions prompted by the results.
C
an analysis of the defects undermining the results.
D
a conversation with a scientist who disputes the results.
Question 91 of 154   |  Information and Ideas  · Level 3
The author of the passage suggests that crowds may be more effective at
Question image Question image Question image Question image
A
creating controversy than examining an issue in depth.
B
reinforcing members' ideas than challenging those ideas.
C
arriving at accurate quantitative answers than producing valid qualitative judgments.
D
ranking others' opinions than developing genuinely original positions.
Question 92 of 154   |  Information and Ideas  · Level 3
Which choice provides the best evidence for the answer to the previous question?
Question image Question image Question image Question image
A
Line 9 ("Sometimes . . . you")
B
Lines 11-14 ("Your . . . number")
C
Lines 17-20 ("According . . . value")
D
Lines 25-28 ("To test . . . opinions")
Question 93 of 154   |  Information and Ideas  · Level 3
Which choice best supports the view of the "skeptics" (line 20)?
Question image Question image Question image Question image
A
Lines 55-58 ("Comments . . . reports")
B
Lines 58-60 ("And . . . them")
C
Lines 63-65 ("The ratings . . . them")
D
Lines 76-79 ("He . . . manipulated")
Question 94 of 154   |  Information and Ideas  · Level 4
Which action would best address a question Watts raises about the study?
Question image Question image Question image Question image
A
Providing fewer fake positive comments
B
Using multiple websites to collect ratings
C
Requiring users to register on the website before voting
D
Informing users that voting data are being analyzed
Question 95 of 154   |  Craft and Structure  · Level 4
As used in line 85, "boost" most nearly means
Question image Question image Question image Question image
A
increase.
B
accelerate.
C
promote.
D
protect.
Question 96 of 154   |  Craft and Structure  · Level 4
As used in line 86, "scale" most nearly means
Question image Question image Question image Question image
A
level.
B
wage.
C
interval.
D
scheme.
Question 97 of 154   |  Information and Ideas  · Level 4
In the figure, which category of news has an artificially up-voted mean score of \(2.5\)?
Question image Question image Question image Question image
A
Business
B
Politics
C
Fun
D
General news
Question 98 of 154   |  Information and Ideas  · Level 4
According to the figure, which category of news showed the smallest difference in mean score between artificially up-voted comments and control comments?
Question image Question image Question image Question image
A
Culture and society
B
Information technology
C
Fun
D
General news
Question 99 of 154   |  Information and Ideas  · Level 4
Data presented in the figure most directly support which idea from the passage?
Question image Question image Question image Question image
A
The mean score of artificially down-voted comments is similar to that of the control.
B
The patterns observed in the experiment suggest that people are suspicious of negative social influence.
C
The positive bias observed in users of the news site may not apply to human behavior in other contexts.
D
The type of story being commented on has an impact on the degree to which people can be influenced.
Question 100 of 154   |  Information and Ideas  · Level 4
According to the passage, Maguire's findings regarding taxi drivers are significant because they
Question image Question image Question image Question image
A
demonstrate the validity of a new method.
B
provide evidence for a popular viewpoint.
C
call into question an earlier consensus.
D
challenge the authenticity of previous data.
Question 101 of 154   |  Information and Ideas  · Level 4
Which choice provides the best evidence for the answer to the previous question?
Question image Question image Question image Question image
A
Lines 8-12 (“The right . . . difference”)
B
Lines 12-16 (“Maguire . . . effect”)
C
Lines 17-20 (“The brain . . . neuroplasticity”)
D
Lines 20-26 (“It had . . . true”)
Question 102 of 154   |  Craft and Structure  · Level 4
As used in line 24, “basic” most nearly means
Question image Question image Question image Question image
A
initial.
B
simple.
C
necessary.
D
fundamental.
Question 103 of 154   |  Information and Ideas  · Level 4
Which question was Maguire's study of mental athletes primarily intended to answer?
Question image Question image Question image Question image
A
Does the act of memorization make use of different brain structures than does the act of navigation?
B
Do mental athletes inherit their unusual brain structures, or do the structures develop as a result of specific activities?
C
Does heightened memorization ability reflect abnormal brain structure or an unusual use of normal brain structure?
D
What is the relationship between general cognitive ability and the unusual brain structures of mental athletes?
Question 104 of 154   |  Information and Ideas  · Level 5
Which choice provides the best evidence for the answer to the previous question?
Question image Question image Question image Question image
A
Lines 27-29 (“After . . . athletes”)
B
Lines 33-37 (“They . . . possess”)
C
Lines 38-43 (“The researchers . . . scanned”)
D
Lines 52-54 (“What's . . . range”)
Question 105 of 154   |  Craft and Structure  · Level 5
As used in line 39, “matched” most nearly means
Question image Question image Question image Question image
A
comparable.
B
identical.
C
distinguishable.
D
competing.
Question 106 of 154   |  Craft and Structure  · Level 5
The main purpose of the fifth paragraph (lines 57-65) is to
Question image Question image Question image Question image
A
relate Maguire's study of mental athletes to her study of taxi drivers.
B
speculate on the reason for Maguire's unexpected results.
C
identify an important finding of Maguire's study of mental athletes.
D
transition from a summary of Maguire's findings to a description of her methods.
Question 107 of 154   |  Information and Ideas  · Level 5
According to the passage, when compared to mental athletes, the individuals in the control group in Maguire's second study
Question image Question image Question image Question image
A
showed less brain activity overall.
B
demonstrated a wider range of cognitive ability.
C
exhibited different patterns of brain activity.
D
displayed noticeably smaller hippocampal regions.
Question 108 of 154   |  Information and Ideas  · Level 5
The passage most strongly suggests that mental athletes are successful at memorization because they
Question image Question image Question image Question image
A
exploit parts of the brain not normally used in routine memorization.
B
convert information they are trying to memorize into abstract symbols.
C
organize information into numerical lists prior to memorization.
D
exercise their brains regularly through puzzles and other mental challenges.
Question 109 of 154   |  Information and Ideas  · Level 5
Which choice provides the best evidence for the answer to the previous question?
Question image Question image Question image Question image
A
Lines 66-72 (“Surprisingly . . . way-finding”)
B
Lines 72-73 (“At first . . . sense”)
C
Lines 79-81 (“Maguire . . . memorized”)
D
Lines 85-87 (“They . . . childhood”)
Question 110 of 154   |  Craft and Structure  · Level 5
The questions in lines 74-78 primarily serve to
Question image Question image Question image Question image
A
raise doubts about the reliability of the conclusions reached by Maguire.
B
emphasize and elaborate on an initially puzzling result of Maguire's study of mental athletes.
C
imply that Maguire's findings undermine earlier studies of the same phenomenon.
D
introduce and explain a connection between Maguire's two studies and her earlier work.
Question 111 of 154   |  Expression of Ideas  · Level 1
Paleontologists are using modern technology to gain a greater understanding of the distant past. With the aid of computed tomography (CT) scanning and 3-D printing, researchers are able to create accurate models of prehistoric fossils. At this point, the writer is considering adding the following sentence. Fossils provide paleontologists with a convenient way of estimating the age of the rock in which the fossils are found.
Should the writer make this addition here?
A
Yes, because it supports the paragraph's argument with an important detail.
B
Yes, because it provides a logical transition from the preceding sentence.
C
No, because it is not directly related to the main point of the paragraph.
D
No, because it undermines the main claim of the paragraph.
Question 112 of 154   |  Craft and Structure  · Level 1
These models have expanded researchers' knowledge of ancient species and swear to advance the field of paleontology in the years to come. Which choice best replaces the underlined word "swear"?
A
NO CHANGE
B
subscribe
C
vow
D
promise
Question 113 of 154   |  Expression of Ideas  · Level 1
A 3-D printer then builds a polymer model based on this blueprint, much as a regular computer printer reproduces digital documents on paper. The writer is considering deleting the following underlined sentence: "Whereas the head of an ordinary computer printer moves back and forth while printing ink onto paper, the corresponding part of a 3-D printer moves in multiple dimensions while squirting out thin layers of melted polymer plastic." Should the sentence be kept or deleted?
A
Kept, because it helps explain why X-rays are used in CT scanners.
B
Kept, because it provides details to illustrate how a 3-D printer works.
C
Deleted, because it contradicts the passage's information about digital blueprints.
D
Deleted, because it creates confusion about how researchers gather data.
Question 114 of 154   |  Standard English Conventions  · Level 1
The plastic hardens quickly, it allows the printer to build the layers of the final model.
A
NO CHANGE
B
this
C
which
D
that
Question 115 of 154   |  Standard English Conventions  · Level 1
A team led by Drexel University professor Kenneth Lacovara is making models of dinosaur bones one-tenth the bones' original sizes in order to learn how they fit together when the animals were alive.
A
NO CHANGE
B
in order for learning
C
so that one is learning
D
so to learn
Question 116 of 154   |  Standard English Conventions  · Level 1
In the past, such research was limited by the weight and bulk of the fossils as well as its preciousness and fragility.
A
NO CHANGE
B
it's
C
their
D
there
Question 117 of 154   |  Expression of Ideas  · Level 2
[1] One significant benefit of 3-D printing technology is its ability to create scale reproductions of fossils. [2] But now 3-D scale models can be rearranged with ease, which is a huge boon to scientists. [3] A team led by Drexel University professor Kenneth Lacovara is making models of dinosaur bones one-tenth the bones' original sizes in order to learn how they fit together when the animals were alive. [4] In the past, such research was limited by the weight and bulk of the fossils as well as their preciousness and fragility. [5] In many cases, scientists had to rearrange bones virtually, using artists' renderings. To make this paragraph most logical, sentence 2 should be placed
A
where it is now.
B
before sentence 1.
C
after sentence 4.
D
after sentence 5.
Question 118 of 154   |  Expression of Ideas  · Level 2
Because CT scanners can map objects that are impossible to excavate, CT scanning and 3-D printing can also be used to reproduce fossils that scientists cannot observe firsthand. By contrast, researchers from the National Museum of Brazil have relied on this technique to study a fossilized skeleton that was discovered protruding from a rock at an old São Paulo railroad site.
A
NO CHANGE
B
Nonetheless,
C
Besides,
D
For example,
Question 119 of 154   |  Standard English Conventions  · Level 2
Choose the best version of the underlined verb in the passage.
Question image Question image Question image Question image
A
NO CHANGE
B
relied
C
will rely
D
is relying
Question 120 of 154   |  Writing  · Level 2
Which choice most effectively combines the underlined sentences?
A
The fossil could not be removed from the rock on account of it being too delicate; moreover, the team dug up a block of stone around it and brought it to their lab.
B
The team thought the fossil was too delicate to remove from the rock, and their next decision was to dig up a block of stone around the fossil and bring it to their lab.
C
The fossil was too delicate to be removed from the rock, so the team dug up a block of stone around the fossil and brought it to their lab.
D
In removing the fossil from the rock, the team found it was too delicate; then they dug up a block of stone around the fossil and brought it to their lab.
Question 121 of 154   |  Standard English Conventions  · Level 2
Choose the best version of the underlined pronoun in the passage.
Question image Question image Question image Question image
A
NO CHANGE
B
he or she
C
they
D
it
Question 122 of 154   |  Expression of Ideas  · Level 2
Thomas Nast, the Crusading Cartoonist. “Stop them pictures!” Legend has it that the corrupt politician William “Boss” Tweed once used those words when ordering someone to offer a bribe to Thomas Nast, an artist who had become famous for cartoons that called for reforms to end corruption. [12] As a result, Tweed’s attempt to silence the artist failed, and Nast’s cartoons, published in magazines like Harper’s Weekly, actually played a key role in bringing Boss Tweed and his cronies to justice. Which choice best fits the underlined transition?
A
NO CHANGE
B
Therefore,
C
Furthermore,
D
DELETE the underlined portion.
Question 123 of 154   |  Writing  · Level 2
Which choice most effectively combines the underlined sentences? “There were powerful political organizations in the 1860s and the 1870s. The organizations were known as ‘political machines’ and started taking control of city governments.”
A
Powerful political organizations in the 1860s and the 1870s started taking control of city governments, and they were known as “political machines.”
B
Known as “political machines,” in the 1860s and the 1870s, political organizations that were powerful started taking control of city governments.
C
City governments were taken control of in the 1860s and the 1870s, and powerful political organizations known as “political machines” did so.
D
In the 1860s and the 1870s, powerful political organizations known as “political machines” started taking control of city governments.
Question 124 of 154   |  Standard English Conventions  · Level 2
These political machines were able to pack legislatures and courts with hand-picked supporters by purchasing [14] votes, a form of election fraud involving the exchange of money or favors for votes. Choose the best version of the underlined portion.
A
NO CHANGE
B
votes, being
C
votes, that is
D
votes, which it is
Question 125 of 154   |  Standard English Conventions  · Level 3
Boss Tweed’s Tammany Hall group, which controlled New York [15] City in the 1860s—stole more than \$30 million, the equivalent of more than \$365 million today. Choose the best version of the underlined portion.
A
NO CHANGE
B
City in the 1860s,
C
City, in the 1860s,
D
City in the 1860s
Question 126 of 154   |  Expression of Ideas  · Level 3
[16] Tweed had been elected to a single two-year term in Congress in 1852. Tammany Hall was so powerful and corrupt that the New York Times commented “There is absolutely nothing . . . in the city which is beyond the reach of the insatiable gang.” The writer is considering deleting the underlined sentence. Should the sentence be kept or deleted?
A
Kept, because it introduces the quote from the New York Times in the next sentence.
B
Kept, because it adds a vital detail about Tweed that is necessary to understand his power.
C
Deleted, because it blurs the focus of the paragraph by introducing loosely related information.
D
Deleted, because it contains information that undermines the main claim of the passage.
Question 127 of 154   |  Standard English Conventions  · Level 3
Tammany Hall was so powerful and [17] corrupt that, the New York Times, commented “There is absolutely nothing . . . in the city which is beyond the reach of the insatiable gang.” Choose the best version of the underlined portion.
A
NO CHANGE
B
corrupt, that the New York Times commented,
C
corrupt that the New York Times commented,
D
corrupt that the New York Times, commented
Question 128 of 154   |  Writing  · Level 3
Nast’s cartoons depicted Tweed as a great big bloated thief. One of the artist’s most [18] famous images showed Tweed with a bag of money in place of his head. Choose the best version of the underlined portion.
A
NO CHANGE
B
famous and well-known
C
famous and commonly known
D
famous, commonly known
Question 129 of 154   |  Expression of Ideas  · Level 3
One of the artist’s most famous images showed Tweed with a bag of money in place of his [19] head. Another featured Tweed leaning against a ballot box with the caption “As long as I count the votes, what are you going to do about it?” Which choice adds the most relevant supporting information to the paragraph?
A
head; like many other Nast cartoons, that one was published in Harper’s Weekly.
B
head; Nast would later illustrate Tweed’s escape from prison.
C
head, one depiction that omits Tweed’s signature hat.
D
head, an image that perfectly captured Tweed’s greedy nature.
Question 130 of 154   |  Craft and Structure  · Level 3
Eventually, Tweed and his gang were [20] persecuted on a number of charges, including fraud and larceny, and many of them were sent to jail. Choose the best version of the underlined word.
A
NO CHANGE
B
prosecuted
C
persisted
D
pursued
Question 131 of 154   |  Standard English Conventions  · Level 3
In 1875 Tweed escaped from jail and fled to Spain and unwittingly [21] brought about one final pinnacle for the power of political cartoons: A Spanish police officer recognized Tweed from one of Nast’s cartoons. Choose the best version of the underlined portion.
A
NO CHANGE
B
brought about a
C
brought, about one final
D
brought about: one final
Question 132 of 154   |  Craft and Structure  · Level 3
...and unwittingly brought about one final [22] pinnacle for the power of political cartoons: A Spanish police officer recognized Tweed from one of Nast’s cartoons. Choose the best version of the underlined word.
A
NO CHANGE
B
demonstration of
C
summit of
D
crest for
Question 133 of 154   |  Standard English Conventions  · Level 3
Many crowdfunding programs are all-or-nothing; in other words, the innovator must garner 100 percent funding for the project or the money is refunded to the donors. At 23 it's best, the system can give creators direct access to millions of potential backers. Which choice is correct for the underlined word "it's"?
A
NO CHANGE
B
its
C
its'
D
their
Question 134 of 154   |  Expression of Ideas  · Level 3
The home page of one leading crowdfunding site features a project to manufacture pinhole cameras on a 3-D printer. "The idea is obviously very attractive. An obscure method of photography may be made available to many with little expense." Which choice most effectively combines the underlined sentences?
A
With the idea being obviously very attractive, an obscure method of photography may be made available to many at little expense.
B
The idea is obviously very attractive: an obscure method of photography may be made available to many at little expense.
C
An obscure method of photography may be made available to many at little expense, and the idea is obviously very attractive.
D
An obscure method of photography, an idea that is obviously very attractive, may be made available to many at little expense.
Question 135 of 154   |  Expression of Ideas  · Level 3
Those who have seen the space consider it vital. 25 However, that group may not be large enough; with just fourteen days to go in the fund-raising period, the campaign is only 46 percent funded. Which choice best fits the underlined transition?
A
NO CHANGE
B
Therefore,
C
In effect,
D
As a rule,
Question 136 of 154   |  Standard English Conventions  · Level 3
Artists such as these Brooklyn performers find that crowdfunding exacerbates problems that already exist. 26 Work, that is easily understood and appreciated, is supported, while more complex work goes unnoticed. Which choice is correct for the underlined portion?
A
NO CHANGE
B
Work that is easily understood and appreciated is supported,
C
Work that is easily understood, and appreciated is supported
D
Work—that is easily understood and appreciated—is supported,
Question 137 of 154   |  Expression of Ideas  · Level 3
At this point, the writer is considering adding the following sentence: "Crowdfunding tends to attract contributors from a wide variety of professional fields." Should the writer make this addition here?
A
Yes, because it gives more information about the people who donate to crowdfunding campaigns.
B
Yes, because it reinforces the writer's point about the funding of artistic projects.
C
No, because it fails to take into account project funding received from public institutions.
D
No, because it blurs the focus of the paragraph by introducing a poorly integrated piece of information.
Question 138 of 154   |  Expression of Ideas  · Level 3
Time that could be used creating art is spent devising clever perks to draw the attention of potential contributors. 28 In addition, audiences may contain many "free riders." Which choice best fits the underlined transition?
A
NO CHANGE
B
Conversely,
C
However,
D
Thus,
Question 139 of 154   |  Standard English Conventions  · Level 3
In addition, audiences may contain many "free 29 riders," they did not make contributions. Which choice is correct for the underlined portion?
A
NO CHANGE
B
riders," not making
C
riders," who did not make
D
riders" to not make
Question 140 of 154   |  Standard English Conventions  · Level 3
Ironically, the success of crowdfunding may weaken overall funding for the arts if people begin to feel that paying for the art 30 loved by them is someone else's responsibility. Which choice is correct for the underlined portion?
A
NO CHANGE
B
they love
C
loved by him or her
D
he or she loves
Question 141 of 154   |  Standard English Conventions  · Level 4
By subverting the presumption that money used for her project is an altruistic donation, the playwright showed that 31 our work has monetary value to those who enjoy it. Which choice is correct for the underlined word?
A
NO CHANGE
B
their
C
her
D
its
Question 142 of 154   |  Expression of Ideas  · Level 4
To make this paragraph most logical, sentence 2 should be placed
Question image Question image Question image Question image
A
where it is now.
B
after sentence 3.
C
after sentence 4.
D
after sentence 5.
Question 143 of 154   |  Information and Ideas  · Level 4
The passage is accompanied by two graphs adapted from "These Were the Most Successful Projects on Kickstarter Last Year" (©2013 by The Economist Newspaper Limited). The first graph shows the money raised (in millions of dollars) by project category, and the second shows the average pledge (in dollars) by project category. Question 33 asks about the graphic. Which choice offers an accurate interpretation of the data in the graphs?
Question image Question image Question image Question image
A
The project category with the lowest amount of money raised was also the most successfully funded project category.
B
The project category with the highest average pledge amount was also the most successfully funded project category.
C
The project category with the lowest average pledge amount was also the project category that raised the most money.
D
The project category with the highest average pledge amount was also the project category with the most money raised.
Question 144 of 154   |  Expression of Ideas  · Level 4
The following paragraph is from the passage "Investigative Journalism: An Evolving American Tradition." Its sentences are numbered: [1] The recent precipitous decline of print journalism as a viable profession has exacerbated long-held concerns about the state of investigative reporting in the United States. [2] Facing lower print circulation and diminished advertising revenue, many major newspapers have reduced or eliminated investigative resources. [3] Newspapers, the traditional nurturing ground for investigative journalism, have been hit especially hard by the widespread availability of free news online. [4] To survive, investigative journalism must continue to adapt to the digital age. For the sake of the logic and cohesion of the paragraph, sentence 3 should be
A
placed where it is now.
B
placed before sentence 1.
C
placed after sentence 1.
D
DELETED from the paragraph.
Question 145 of 154   |  Standard English Conventions  · Level 4
It is not difficult to understand why a cash-strapped, understaffed publication might feel pressure to cut teams of investigative reporter's—their work is expensive and time-consuming.
A
NO CHANGE
B
reporters:
C
reporters,
D
reporter's;
Question 146 of 154   |  Craft and Structure  · Level 4
Taking on the public interest, investigative journalism involves original, often long-form reporting on such topics as illegal activities, street crime, corporate wrongdoing, and political corruption.
A
NO CHANGE
B
Undertaken in
C
Overtaking
D
Taking off from
Question 147 of 154   |  Craft and Structure  · Level 4
Investigative journalism involves original, often long-form reporting on such topics as illegal activities, street crime, corporate wrongdoing, and political corruption.
A
NO CHANGE
B
business scandals,
C
abuse of government power,
D
DELETE the underlined portion.
Question 148 of 154   |  Expression of Ideas  · Level 4
The exposure by Washington Post reporters Bob Woodward and Carl Bernstein of government misconduct in the Watergate scandal resulted in the resignation of President Richard Nixon in 1974. More recently, Seymour Hersh, reporting for the New Yorker in 2004, helped publicize the mistreatment of Iraqi prisoners by US personnel at Abu Ghraib during the Iraq War. At this point, the writer is considering adding the following sentence. In 1954, Edward R. Murrow and Fred Friendly produced episodes of the CBS television show See It Now that contributed to the end of US senator Joseph McCarthy's anticommunist "witch hunts." Should the writer make this addition here?
A
Yes, because it helps clarify that the passage's main focus is on investigations of political corruption.
B
Yes, because it offers an important counterpoint to the other cases previously described in the paragraph.
C
No, because it gives an example that is both chronologically and substantively out of place in the paragraph.
D
No, because it provides an example that is inconsistent with the passage's definition of investigative journalism.
Question 149 of 154   |  Craft and Structure  · Level 5
In these and other cases, exposure from reporters has served as an important blockade to or scolding of malfeasance.
A
NO CHANGE
B
interference to or condemnation of
C
drag on or reproof of
D
deterrent or rebuke to
Question 150 of 154   |  Craft and Structure  · Level 5
While worrisome, the decline of traditional print media could not entail the end of investigative journalism. Which choice most effectively suggests that the "end of investigative journalism" is a real possibility but one that can be prevented?
A
NO CHANGE
B
need
C
will
D
must
Question 151 of 154   |  Expression of Ideas  · Level 5
Although many newsrooms have reduced their staff, some still employ investigative reporters. Nonprofit enterprises such as the Organized Crime and Corruption Reporting Project have begun to fill the void created by staff losses at newspapers and magazines. Which choice most effectively sets up the examples in the following sentences?
A
NO CHANGE
B
Investigative journalism also declined between the 1930s and 1950s, only to be revived in the 1960s.
C
According to the Pew Research Center, more people get their national and international news from the Internet than from newspapers.
D
Indeed, recent years have witnessed innovative adjustments to changing times.
Question 152 of 154   |  Standard English Conventions  · Level 5
...including blogs and Twitter, to foster a public conversation about key issues. The Help Me Investigate project, for example, solicited readers to submit tips and information related to ongoing stories to its website.
Which choice best corrects the punctuation of the underlined portion (enterprises ___)?
A
NO CHANGE
B
enterprises: such as
C
enterprises such as:
D
enterprises, such as
Question 153 of 154   |  Expression of Ideas  · Level 5
The Help Me Investigate project, ___ for example, solicited readers to submit tips and information related to ongoing stories to its website.
A
NO CHANGE
B
therefore,
C
however,
D
in any case,
Question 154 of 154   |  Writing  · Level 5
Far from marking the end of investigative journalism, ___ cooperation among journalists and ordinary citizens has been facilitated by the advent of the digital age through an increase in the number of potential investigators.
Which choice most effectively combines the sentence with the introductory phrase and is the most concise?
A
NO CHANGE
B
the number of potential investigators has increased since the advent of the digital age owing to the facilitation of cooperation among journalists and ordinary citizens.
C
the advent of the digital age has increased the number of potential investigators by facilitating cooperation among journalists and ordinary citizens.
D
by facilitating cooperation among journalists and ordinary citizens the advent of the digital age has increased the number of potential investigators.

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Reference Sheet

Area & Circumference

Circle$A = \pi r^2$,  $C = 2\pi r$
Rectangle$A = lw$
Triangle$A = \tfrac{1}{2}bh$
Trapezoid$A = \tfrac{1}{2}(b_1+b_2)h$

Volume

Box$V = lwh$
Cylinder$V = \pi r^2 h$
Sphere$V = \tfrac{4}{3}\pi r^3$
Cone$V = \tfrac{1}{3}\pi r^2 h$
Pyramid$V = \tfrac{1}{3}lwh$

Triangles

Pythagorean Thm$a^2 + b^2 = c^2$
30-60-90sides: $1,\, \sqrt{3},\, 2$
45-45-90sides: $1,\, 1,\, \sqrt{2}$
Triangle Anglessum $= 180°$

Other Facts

Circle Degrees$360° = 2\pi \text{ rad}$
Exterior Angle= sum of non-adjacent interior angles

The number of degrees of arc in a circle is 360. The number of radians of arc in a circle is $2\pi$.

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