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154 Questions
Question 1 of 154
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SAT P3 0/154
Question 1 of 154   |  Statistics  · Level 1
The graph above shows Marilyn's distance from her campsite during a \(3\)-hour hike. She stopped for \(30\) minutes during her hike to have lunch. Based on the graph, which of the following is closest to the time she finished lunch and continued her hike?
Question image
A
12:40 P.M.
B
1:10 P.M.
C
1:40 P.M.
D
2:00 P.M.
Question 2 of 154   |  Probability  · Level 1
The table above shows the distribution of age and gender for \(25\) people who entered a contest. The counts are: male under \(40\) is \(12\), female under \(40\) is \(8\), male age \(40\) or older is \(2\), and female age \(40\) or older is \(3\). If the contest winner will be selected at random, what is the probability that the winner will be either a female under age \(40\) or a male age \(40\) or older?
A
\(\dfrac{4}{25}\)
B
\(\dfrac{10}{25}\)
C
\(\dfrac{11}{25}\)
D
\(\dfrac{16}{25}\)
Question 3 of 154   |  Statistics  · Level 1
The graph above shows the total number of music album sales, in millions, each year from 1997 through 2009. Based on the graph, which of the following best describes the general trend in music album sales from 1997 through 2009 ?
Question image
A
Sales generally increased each year since 1997.
B
Sales generally decreased each year since 1997.
C
Sales increased until 2000 and then generally decreased.
D
Sales generally remained steady from 1997 through 2009.
Question 4 of 154   |  Algebra  · Level 1
The table above shows some values of the linear function \(f\): \(f(1) = -2\), \(f(2) = 1\), \(f(3) = 4\), and \(f(4) = 7\). Which of the following defines \(f\) ?
A
\(f(n) = n - 3\)
B
\(f(n) = 2n - 4\)
C
\(f(n) = 3n - 5\)
D
\(f(n) = 4n - 6\)
Question 5 of 154   |  Ratios, Rates and Percentages  · Level 1
At Lincoln High School, approximately \(7\) percent of enrolled juniors and \(5\) percent of enrolled seniors were inducted into the National Honor Society last year. If there were \(562\) juniors and \(602\) seniors enrolled at Lincoln High School last year, which of the following is closest to the total number of juniors and seniors at Lincoln High School last year who were inducted into the National Honor Society?
A
\(140\)
B
\(69\)
C
\(39\)
D
\(30\)
Question 6 of 154   |  Advanced Math  · Level 2
Which of the following is the sum of the two polynomials \(3x^2 - 5x + 2\) and \(5x^2 - 2x - 6\) ?
A
\(8x^2 - 7x - 4\)
B
\(8x^2 + 7x - 4\)
C
\(8x^4 - 7x^2 - 4\)
D
\(8x^4 + 7x^2 - 4\)
Question 7 of 154   |  Algebra  · Level 2
If \(\dfrac{3}{5} w = \dfrac{4}{3}\), what is the value of \(w\) ?
A
\(\dfrac{9}{20}\)
B
\(\dfrac{4}{5}\)
C
\(\dfrac{5}{4}\)
D
\(\dfrac{20}{9}\)
Question 8 of 154   |  Algebra  · Level 2
The average number of students per classroom at Central High School from 2000 to 2010 can be modeled by the equation \(y = 0.56x + 27.2\), where \(x\) represents the number of years since 2000, and \(y\) represents the average number of students per classroom. Which of the following best describes the meaning of the number \(0.56\) in the equation?
A
The total number of students at the school in 2000
B
The average number of students per classroom in 2000
C
The estimated increase in the average number of students per classroom each year
D
The estimated difference between the average number of students per classroom in 2010 and in 2000
Question 9 of 154   |  Ratios, Rates and Percentages  · Level 2
Nate walks \(25\) meters in \(13.7\) seconds. If he walks at this same rate, which of the following is closest to the distance he will walk in \(4\) minutes?
A
\(150\) meters
B
\(450\) meters
C
\(700\) meters
D
1,400 meters
Question 10 of 154   |  Algebra  · Level 2
The chart above shows approximations of the acceleration due to gravity in meters per second squared \(\left(\dfrac{m}{se}c^2\right)\) for the eight planets in our solar system: Mercury \(3.6\), Venus \(8.9\), Earth \(9.8\), Mars \(3.8\), Jupiter \(26.0\), Saturn \(11.1\), Uranus \(10.7\), Neptune \(14.1\). The weight of an object on a given planet can be found by using the formula \(W = mg\), where \(W\) is the weight of the object measured in newtons, \(m\) is the mass of the object measured in kilograms, and \(g\) is the acceleration due to gravity on the planet measured in \(\dfrac{m}{se}c^2\). What is the weight, in newtons, of an object on Mercury with a mass of \(90\) kilograms?
A
\(25\)
B
\(86\)
C
\(101\)
D
\(324\)
Question 11 of 154   |  Algebra  · Level 2
The chart above shows approximations of the acceleration due to gravity in meters per second squared \(\left(\dfrac{m}{se}c^2\right)\) for the eight planets in our solar system: Mercury \(3.6\), Venus \(8.9\), Earth \(9.8\), Mars \(3.8\), Jupiter \(26.0\), Saturn \(11.1\), Uranus \(10.7\), Neptune \(14.1\). The weight of an object on a given planet can be found by using the formula \(W = mg\), where \(W\) is the weight of the object measured in newtons, \(m\) is the mass of the object measured in kilograms, and \(g\) is the acceleration due to gravity on the planet measured in \(\dfrac{m}{se}c^2\). An object on Earth has a weight of \(150\) newtons. On which planet would the same object have an approximate weight of \(170\) newtons?
A
Venus
B
Saturn
C
Uranus
D
Neptune
Question 12 of 154   |  Advanced Math  · Level 2
If the function \(f\) has five distinct zeros, which of the following could represent the complete graph of \(f\) in the \(x y\)-plane?
Question image
A
Graph A
B
Graph B
C
Graph C
D
Graph D
Question 13 of 154   |  Advanced Math  · Level 3
The equation \(h = -16t^2 + v t + k\) gives the height \(h\), in feet, of a ball \(t\) seconds after it is thrown straight up with an initial speed of \(v\) feet per second from a height of \(k\) feet. Which of the following gives \(v\) in terms of \(h\), \(t\), and \(k\)?
A
\(v = \dfrac{h + k}{-16} - t\)
B
\(v = \dfrac{h - k}{-16} + t\)
C
\(v = \dfrac{h + k}{t} - 16t\)
D
\(v = \dfrac{h - k}{t} + 16t\)
Question 14 of 154   |  Ratios, Rates and Percentages  · Level 3
The cost of using a telephone in a hotel meeting room is \$0.20 per minute. Which of the following equations represents the total cost \(c\), in dollars, for \(h\) hours of phone use?
A
\(c = 0.20(60h)\)
B
\(c = 0.20 + 60h\)
C
\(c = \dfrac{60h}{0.20}\)
D
\(c = \dfrac{0.20}{60h}\)
Question 15 of 154   |  Statistics  · Level 3
In order to determine if treatment \(X\) is successful in improving eyesight, a research study was conducted. From a large population of people with poor eyesight, \(300\) participants were selected at random. Half of the participants were randomly assigned to receive treatment \(X\), and the other half did not receive treatment \(X\). The resulting data showed that participants who received treatment \(X\) had significantly improved eyesight as compared to those who did not receive treatment \(X\). Based on the design and results of the study, which of the following is an appropriate conclusion?
A
Treatment \(X\) is likely to improve the eyesight of people who have poor eyesight.
B
Treatment \(X\) improves eyesight better than all other available treatments.
C
Treatment \(X\) will improve the eyesight of anyone who takes it.
D
Treatment \(X\) will cause a substantial improvement in eyesight.
Question 16 of 154   |  Advanced Math  · Level 3
Graphs of the functions \(f\) and \(g\) are shown in the \(x y\)-plane above. For which of the following values of \(x\) does \(f(x) + g(x) = 0\)?
A
\(-3\)
B
\(-2\)
C
\(-1\)
D
\(0\)
Question 17 of 154   |  Algebra  · Level 3
The quantity of a product supplied and the quantity of the product demanded in an economic market are functions of the price of the product. The functions \(S(P) = \dfrac{1}{2}P + 40\) and \(D(P) = 220 - P\) are the estimated supply and demand functions for a certain product. The function \(S(P)\) gives the quantity of the product supplied to the market when the price is \(P\) dollars, and the function \(D(P)\) gives the quantity of the product demanded by the market when the price is \(P\) dollars. How will the quantity of the product supplied to the market change if the price of the product is increased by \$10?
A
The quantity supplied will decrease by \(5\) units.
B
The quantity supplied will increase by \(5\) units.
C
The quantity supplied will increase by \(10\) units.
D
The quantity supplied will increase by \(50\) units.
Question 18 of 154   |  Algebra  · Level 3
The quantity of a product supplied and the quantity of the product demanded in an economic market are functions of the price of the product. The functions \(S(P) = \dfrac{1}{2}P + 40\) and \(D(P) = 220 - P\) are the estimated supply and demand functions for a certain product. The function \(S(P)\) gives the quantity of the product supplied to the market when the price is \(P\) dollars, and the function \(D(P)\) gives the quantity of the product demanded by the market when the price is \(P\) dollars. At what price will the quantity of the product supplied to the market equal the quantity of the product demanded by the market?
A
\$90
B
\$120
C
\$133
D
\$155
Question 19 of 154   |  Ratios, Rates and Percentages  · Level 3
Graphene, which is used in the manufacture of integrated circuits, is so thin that a sheet weighing one ounce can cover up to \(7\) football fields. If a football field has an area of approximately \(11 \dfrac{1}{3}\) acres, about how many acres could \(48\) ounces of graphene cover?
A
\(250\)
B
\(350\)
C
\(450\)
D
1,350
Question 20 of 154   |  Statistics  · Level 3
Michael swam 2,000 yards on each of eighteen days. The scatterplot above shows his swim time and corresponding heart rate after each swim. The line of best fit for the data is also shown. For the swim that took \(34\) minutes, Michael's actual heart rate was about how many beats per minute less than the rate predicted by the line of best fit?
Question image
A
\(1\)
B
\(2\)
C
\(3\)
D
\(4\)
Question 21 of 154   |  Advanced Math  · Level 3
Of the following four types of savings account plans, which option would yield exponential growth of the money in the account?
A
Each successive year, \(2%\) of the initial savings is added to the value of the account.
B
Each successive year, \(1.5%\) of the initial savings and \$100 is added to the value of the account.
C
Each successive year, \(1%\) of the current value is added to the value of the account.
D
Each successive year, \$100 is added to the value of the account.
Question 22 of 154   |  Algebra  · Level 3
The sum of three numbers is \(855\). One of the numbers, \(x\), is \(50%\) more than the sum of the other two numbers. What is the value of \(x\)?
A
\(570\)
B
\(513\)
C
\(214\)
D
\(155\)
Question 23 of 154   |  Trigonometry  · Level 3
The angles shown above are acute and \(\sin(a^{\circ}) = \cos(b^{\circ})\). If \(a = 4k - 22\) and \(b = 6k - 13\), what is the value of \(k\)?
Question image
A
\(4.5\)
B
\(5.5\)
C
\(12.5\)
D
\(21.5\)
Question 24 of 154   |  Algebra  · Level 3
Mr. Kohl has a beaker containing \(n\) milliliters of solution to distribute to the students in his chemistry class. If he gives each student \(3\) milliliters of solution, he will have \(5\) milliliters left over. In order to give each student \(4\) milliliters of solution, he will need an additional \(21\) milliliters. How many students are in the class?
A
\(16\)
B
\(21\)
C
\(23\)
D
\(26\)
Question 25 of 154   |  Geometry  · Level 3
A grain silo is built from two right circular cones and a right circular cylinder with internal measurements represented by the figure above (cylinder height \(10\) ft, each cone height \(5\) ft, and radius \(5\) ft). Of the following, which is closest to the volume of the grain silo, in cubic feet?
Question image
A
\(261.8\)
B
\(785.4\)
C
\(916.3\)
D
1,047.2
Question 26 of 154   |  Algebra  · Level 3
In the \(x y\)-plane, the line determined by the points \((2, k)\) and \((k, 32)\) passes through the origin. Which of the following could be the value of \(k\) ?
A
\(0\)
B
\(4\)
C
\(8\)
D
\(16\)
Question 27 of 154   |  Ratios, Rates and Percentages  · Level 4
A rectangle was altered by increasing its length by \(10\) percent and decreasing its width by \(p\) percent. If these alterations decreased the area of the rectangle by \(12\) percent, what is the value of \(p\) ?
A
\(12\)
B
\(15\)
C
\(20\)
D
\(22\)
Question 28 of 154   |  Advanced Math  · Level 4
In planning maintenance for a city's infrastructure, a civil engineer estimates that, starting from the present, the population of the city will decrease by \(10\) percent every \(20\) years. If the present population of the city is 50,000, which of the following expressions represents the engineer's estimate of the population of the city \(t\) years from now?
A
50,000\((0.1)^{20 t}\)
B
50,000\((0.1)^{\dfrac{t}{20}}\)
C
50,000\((0.9)^{20 t}\)
D
50,000\((0.9)^{\dfrac{t}{20}}\)
Question 29 of 154   |  Probability  · Level 4
The incomplete table above summarizes the number of left-handed students and right-handed students by gender for the eighth-grade students at Keisel Middle School. There are \(5\) times as many right-handed female students as there are left-handed female students, and there are \(9\) times as many right-handed male students as there are left-handed male students. If there is a total of \(18\) left-handed students and \(122\) right-handed students in the school, which of the following is closest to the probability that a right-handed student selected at random is female? (Note: Assume that none of the eighth-grade students are both right-handed and left-handed.)
A
\(0.410\)
B
\(0.357\)
C
\(0.333\)
D
\(0.250\)
Question 30 of 154   |  Algebra  · Level 4
\(3x + b = 5x - 7\) \(3y + c = 5y - 7\) In the equations above, \(b\) and \(c\) are constants. If \(b\) is \(c\) minus \(\dfrac{1}{2}\), which of the following is true?
A
\(x\) is \(y\) minus \(\dfrac{1}{4}\).
B
\(x\) is \(y\) minus \(\dfrac{1}{2}\).
C
\(x\) is \(y\) minus \(1\).
D
\(x\) is \(y\) plus \(\dfrac{1}{2}\).
Question 31 of 154   |  Algebra  · Level 4

Student-produced response directions

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  • If your answer is a fraction that doesn't fit in the provided space, enter the decimal equivalent.
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  • 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
Tickets for a school talent show cost \$2 for students and \$3 for adults. If Chris spends at least \$11 but no more than \$14 on \(x\) student tickets and \(1\) adult ticket, what is one possible value of \(x\) ?
Answer:

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

Question 32 of 154   |  Statistics  · 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
The table above lists the ages, in years, of the first \(12\) United States presidents when they began their terms in office: Washington \(57\), Adams \(61\), Jefferson \(57\), Madison \(57\), Monroe \(58\), Adams \(57\), Jackson \(61\), Van Buren \(54\), Harrison \(68\), Tyler \(51\), Polk \(49\), Taylor \(64\). According to the table, what was the mean age, in years, of these presidents at the beginning of their terms? (Round your answer to the nearest tenth.)
Answer:

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

Question 33 of 154   |  Advanced Math  · 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
\((-3x^2 + 5x - 2) - 2(x^2 - 2x - 1)\) If the expression above is rewritten in the form \(a x^2 + b x + c\), where \(a\), \(b\), and \(c\) are constants, what is the value of \(b\) ?
Answer:

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

Question 34 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
In a circle with center \(O\), central angle \(A O B\) has a measure of \(\dfrac{5 \pi}{4}\) radians. The area of the sector formed by central angle \(A O B\) is what fraction of the area of the circle?
Answer:

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

Question 35 of 154   |  Statistics  · 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
An online store receives customer satisfaction ratings between 0 and 100, inclusive. In the first 10 ratings the store received, the average (arithmetic mean) of the ratings was 75. What is the least value the store can receive for the 11th rating and still be able to have an average of at least 85 for the first 20 ratings?
Answer:

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

Question 36 of 154   |  Algebra  · Level 5

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
\(y \leq 5x\), \(y \leq -15x + 3000\) In the \(xy\)-plane, if a point with coordinates \((a, b)\) lies in the solution set of the system of inequalities above, what is the maximum possible value of \(b\)?
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

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
Questions 37 and 38 refer to the following information. If shoppers enter a store at an average rate of \(r\) shoppers per minute and each stays in the store for an average time of \(T\) minutes, the average number of shoppers in the store, \(N\), at any one time is given by the formula \(N = r T\). This relationship is known as Little's law. The owner of the Good Deals Store estimates that during business hours, an average of \(3\) shoppers per minute enter the store and that each of them stays an average of \(15\) minutes. The store owner uses Little's law to estimate that there are \(45\) shoppers in the store at any time. Little's law can be applied to any part of the store, such as a particular department or the checkout lines. The store owner determines that, during business hours, approximately \(84\) shoppers per hour make a purchase and each of these shoppers spends an average of \(5\) minutes in the checkout line. At any time during business hours, about how many shoppers, on average, are waiting in the checkout line to make a purchase at the Good Deals Store?
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

  • 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
Questions 37 and 38 refer to the following information. If shoppers enter a store at an average rate of \(r\) shoppers per minute and each stays in the store for an average time of \(T\) minutes, the average number of shoppers in the store, \(N\), at any one time is given by the formula \(N = r T\). This relationship is known as Little's law. The owner of the Good Deals Store estimates that during business hours, an average of \(3\) shoppers per minute enter the store and that each of them stays an average of \(15\) minutes. The store owner uses Little's law to estimate that there are \(45\) shoppers in the store at any time. The owner of the Good Deals Store opens a new store across town. For the new store, the owner estimates that, during business hours, an average of \(90\) shoppers per hour enter the store and each of them stays an average of \(12\) minutes. The average number of shoppers in the new store at any time is what percent less than the average number of shoppers in the original store at any time? (Note: Ignore the percent symbol when entering your answer. For example, if the answer is \(42.1\)%, enter \(42.1\))
Answer:

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

Question 39 of 154   |  Algebra  · Level 1
A painter will paint \(n\) walls with the same size and shape in a building using a specific brand of paint. The painter's fee can be calculated by the expression \(n K A h\), where \(n\) is the number of walls, \(K\) is a constant with units of dollars per square foot, \(A\) is the length of each wall in feet, and \(h\) is the height of each wall in feet. If the customer asks the painter to use a more expensive brand of paint, which of the factors in the expression would change?
A
\(h\)
B
\(A\)
C
\(K\)
D
\(n\)
Question 40 of 154   |  Algebra  · Level 1
If \(\dfrac{r}{3} = 18\), what is the value of \(\dfrac{r}{6} + 3\)?
A
\(6\)
B
\(27\)
C
\(36\)
D
\(39\)
Question 41 of 154   |  Advanced Math  · Level 1
Which of the following is equal to \(a^{\dfrac{2}{3}}\), for all values of \(a\)?
A
\(\sqrt{a^{\dfrac{1}{3}}}\)
B
\(\sqrt{a^3}\)
C
\(\sqrt[3]{a^{\dfrac{1}{2}}}\)
D
\(\sqrt[3]{a^2}\)
Question 42 of 154   |  Algebra  · Level 2
The number of states that joined the United States between 1776 and 1849 is twice the number of states that joined between 1850 and 1900. If \(30\) states joined the United States between 1776 and 1849 and \(x\) states joined between 1850 and 1900, which of the following equations is true?
A
\(\dfrac{x}{30} = 2\)
B
\(\dfrac{x}{2} = 30\)
C
\(2x = 30\)
D
\(x + 30 = 2\)
Question 43 of 154   |  Advanced Math  · Level 2
If \(\dfrac{x}{5} = \dfrac{15}{x + 20}\), what is the value of \(\dfrac{x}{5}\)?
A
\(10\)
B
\(5\)
C
\(2\)
D
\(\dfrac{1}{2}\)
Question 44 of 154   |  Algebra  · Level 2
\(2x - 3y = -14\) \(3x - 2y = -6\) If \((x, y)\) is a solution to the system of equations above, what is the value of \(x - y\)?
A
\(-20\)
B
\(-8\)
C
\(-4\)
D
\(8\)
Question 45 of 154   |  Advanced Math  · Level 2
The function \(f\) is defined by a polynomial. Some values of \(x\) and \(f(x)\) are shown in the table above (\(x = 0, 2, 4, 5\) with corresponding \(f(x) = 3, 1, 0, -2\)). Which of the following must be a factor of \(f(x)\)?
Question image
A
\(x - 2\)
B
\(x - 3\)
C
\(x - 4\)
D
\(x - 5\)
Question 46 of 154   |  Algebra  · Level 3
The line \(y = k x + 4\), where \(k\) is a constant, is graphed in the \(x y\)-plane. If the line contains the point \((c, d)\), where \(c \neq 0\) and \(d \neq 0\), what is the slope of the line in terms of \(c\) and \(d\)?
A
\(\dfrac{d - 4}{c}\)
B
\(\dfrac{c - 4}{d}\)
C
\(\dfrac{4 - d}{c}\)
D
\(\dfrac{4 - c}{d}\)
Question 47 of 154   |  Algebra  · Level 3
\(k x - 3y = 4\) \(4x - 5y = 7\) In the system of equations above, \(k\) is a constant and \(x\) and \(y\) are variables. For what value of \(k\) will the system of equations have no solution?
A
\(\dfrac{12}{5}\)
B
\(\dfrac{16}{7}\)
C
\(-\dfrac{16}{7}\)
D
\(-\dfrac{12}{5}\)
Question 48 of 154   |  Advanced Math  · Level 3
In the \(x y\)-plane, the parabola with equation \(y = (x - 11)^2\) intersects the line with equation \(y = 25\) at two points, \(A\) and \(B\). What is the length of \(A B\)?
A
\(10\)
B
\(12\)
C
\(14\)
D
\(16\)
Question 49 of 154   |  Geometry  · Level 3
Note: Figure not drawn to scale. In the figure above, lines \(k\), \(\ell\), and \(m\) intersect at a point. If \(x + y = u + w\), which of the following must be true?
I. \(x = z\)
II. \(y = w\)
III. \(z = t\)
Question image
A
I and II only
B
I and III only
C
II and III only
D
I, II, and III
Question 50 of 154   |  Advanced Math  · Level 3
\(y = a(x - 2)(x + 4)\) In the quadratic equation above, \(a\) is a nonzero constant. The graph of the equation in the \(x y\)-plane is a parabola with vertex \((c, d)\). Which of the following is equal to \(d\)?
A
\(-9a\)
B
\(-8a\)
C
\(-5a\)
D
\(-2a\)
Question 51 of 154   |  Advanced Math  · Level 3
The equation \(\dfrac{24x^2 + 25x - 47}{a x - 2} = -8x - 3 - \dfrac{53}{a x - 2}\) is true for all values of \(x \neq \dfrac{2}{a}\), where \(a\) is a constant. What is the value of \(a\)?
A
\(-16\)
B
\(-3\)
C
\(3\)
D
\(16\)
Question 52 of 154   |  Advanced Math  · Level 4
What are the solutions to \(3x^2 + 12x + 6 = 0\)?
A
\(x = -2 \pm \sqrt{2}\)
B
\(x = -2 \pm \dfrac{\sqrt{30}}{3}\)
C
\(x = -6 \pm \sqrt{2}\)
D
\(x = -6 \pm 6 \sqrt{2}\)
Question 53 of 154   |  Algebra  · Level 4
\(C = \dfrac{5}{9}(F - 32)\) The equation above shows how a temperature \(F\), measured in degrees Fahrenheit, relates to a temperature \(C\), measured in degrees Celsius. Based on the equation, which of the following must be true?
I. A temperature increase of \(1\) degree Fahrenheit is equivalent to a temperature increase of \(\dfrac{5}{9}\) degree Celsius.
II. A temperature increase of \(1\) degree Celsius is equivalent to a temperature increase of \(1.8\) degrees Fahrenheit.
III. A temperature increase of \(\dfrac{5}{9}\) degree Fahrenheit is equivalent to a temperature increase of \(1\) degree Celsius.
A
I only
B
II only
C
III only
D
I and II only
Question 54 of 154   |  Advanced Math  · 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
\(x^2(x - 5) = -4x\) If \(x > 0\), what is one possible solution to the equation above?
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.
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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).
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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
If \(\dfrac{7x}{9} - \dfrac{4x}{9} = \dfrac{1}{4} + \dfrac{5}{12}\), what is the value of \(x\)?
Answer:

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

Question 56 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
Two isosceles triangles are shown above, with angles measuring \(x°\), \(y°\), and \(z°\). Note: Figure not drawn to scale. If \(\dfrac{180 - z}{y} = 2\) and \(y = 75\), what is the value of \(x\)?
Question image
Answer:

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

Question 57 of 154   |  Algebra  · 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
At a lunch stand, each hamburger has \(50\) more calories than each order of fries. If \(2\) hamburgers and \(3\) orders of fries have a total of \(1700\) calories, how many calories does a hamburger have?
Answer:

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

Question 58 of 154   |  Trigonometry  · Level 5

Student-produced response directions

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  • 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
In triangle \(A B C\), the measure of \(\angle B\) is \(90°\), \(B C = 16\), and \(A C = 20\). Triangle \(D E F\) is similar to triangle \(A B C\), where vertices \(D\), \(E\), and \(F\) correspond to vertices \(A\), \(B\), and \(C\), respectively, and each side of triangle \(D E F\) is \(\dfrac{1}{3}\) the length of the corresponding side of triangle \(A B C\). What is the value of \(\sin F\)?
Answer:

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

Question 59 of 154   |  Information and Ideas  · Level 1
This passage is adapted from Saki, "The Schartz-Metterklume Method" (1911). Lady Carlotta misses her train after stopping to help a struggling horse. While waiting, she is approached by Mrs. Quabarl, who mistakes her for "Miss Hope," the governess she has come to meet. Lady Carlotta plays along, allowing herself to be driven to the Quabarl mansion and introduced to her new charges, and proceeds to unsettle the self-assured Mrs. Quabarl. Which choice best summarizes the passage?
Question image Question image Question image
A
A woman weighs the positive and negative aspects of accepting a new job.
B
A woman does not correct a stranger who mistakes her for someone else.
C
A woman impersonates someone else to seek revenge on an acquaintance.
D
A woman takes an immediate dislike to her new employer.
Question 60 of 154   |  Craft and Structure  · Level 1
As used in the sentence "Lady Carlotta stepped out on to the platform of the small wayside station and took a turn or two up and down its uninteresting length, to kill time till the train should be pleased to proceed on its way," "turn" most nearly means
A
slight movement.
B
change in rotation.
C
short walk.
D
course correction.
Question 61 of 154   |  Information and Ideas  · Level 1
The passage most clearly implies that other people regarded Lady Carlotta as
Question image Question image Question image
A
outspoken.
B
tactful.
C
ambitious.
D
unfriendly.
Question 62 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
A
Lines 10-14 ("Certain . . . business")
B
Lines 22-23 ("It is . . . lady")
C
Lines 23-26 ("On this . . . her")
D
Lines 30-32 ("She . . . train")
Question 63 of 154   |  Craft and Structure  · Level 1
The description of how Lady Carlotta "put the doctrine of non-interference into practice" (lines 14-15)—proceeding with her water-colour sketch while an acquaintance was besieged for nearly three hours in a may-tree by an angry boar-pig—mainly serves to
A
foreshadow her capacity for deception.
B
illustrate the subtle cruelty in her nature.
C
provide a humorous insight into her character.
D
explain a surprising change in her behavior.
Question 64 of 154   |  Craft and Structure  · Level 1
In line 55, “charge” most nearly means
Question image Question image Question image
A
responsibility.
B
attack.
C
fee.
D
expense.
Question 65 of 154   |  Information and Ideas  · Level 1
The narrator indicates that Claude, Wilfrid, Irene, and Viola are
Question image Question image Question image
A
similar to many of their peers.
B
unusually creative and intelligent.
C
hostile to the idea of a governess.
D
more educated than others of their age.
Question 66 of 154   |  Information and Ideas  · Level 2
The narrator implies that Mrs. Quabarl favors a form of education that emphasizes
Question image Question image Question image
A
traditional values.
B
active engagement.
C
artistic experimentation.
D
factual retention.
Question 67 of 154   |  Information and Ideas  · Level 2
As presented in the passage, Mrs. Quabarl is best described as
Question image Question image Question image
A
superficially kind but actually selfish.
B
outwardly imposing but easily defied.
C
socially successful but irrationally bitter.
D
naturally generous but frequently imprudent.
Question 68 of 154   |  Information and Ideas  · Level 2
Which choice provides the best evidence for the answer to the previous question?
Question image Question image Question image
A
Lines 49-50 (“How . . . careless”)
B
Lines 62-68 (“I wish . . . memory”)
C
Lines 70-73 (“I shall . . . Russian”)
D
Lines 77-82 (“She was . . . apologetic”)
Question 69 of 154   |  Craft and Structure  · Level 2
What function does the third paragraph (lines 20-34) serve in the passage as a whole?
Question image Question image Question image
A
It acknowledges that a practice favored by the author of the passage has some limitations.
B
It illustrates with detail the arguments made in the first two paragraphs of the passage.
C
It gives an overview of a problem that has not been sufficiently addressed by the experts mentioned in the passage.
D
It advocates for abandoning a practice for which the passage as a whole provides mostly favorable data.
Question 70 of 154   |  Information and Ideas  · Level 2
Which choice does the author explicitly cite as an advantage of automobile travel in North America?
Question image Question image Question image
A
Environmental impact
B
Convenience
C
Speed
D
Cost
Question 71 of 154   |  Information and Ideas  · Level 2
Which choice provides the best evidence for the answer to the previous question?
Question image Question image Question image
A
Lines 5-9 (“In . . . automobile”)
B
Lines 20-24 (“And . . . car”)
C
Lines 24-26 (“In . . . experience”)
D
Lines 32-34 (“Hopping . . . quickly”)
Question 72 of 154   |  Information and Ideas  · Level 2
The central idea of the fourth paragraph (lines 35-57) is that
Question image Question image Question image
A
European countries excel at public transportation.
B
some public transportation systems are superior to travel by private automobile.
C
Americans should mimic foreign public transportation systems when possible.
D
much international public transportation is engineered for passengers to work while on board.
Question 73 of 154   |  Information and Ideas  · Level 2
Which choice provides the best evidence for the answer to the previous question?
Question image Question image Question image
A
Line 35 (“It . . . this”)
B
Lines 35-37 (“Done . . . automobile”)
C
Lines 37-40 (“In . . . sound”)
D
Lines 44-48 (“From . . . cities”)
Question 74 of 154   |  Craft and Structure  · Level 2
As used in line 58, “credit” most nearly means
Question image Question image Question image
A
endow.
B
attribute.
C
believe.
D
honor.
Question 75 of 154   |  Craft and Structure  · Level 2
As used in line 61, “favor” most nearly means
Question image Question image Question image
A
indulge.
B
prefer.
C
resemble.
D
serve.
Question 76 of 154   |  Information and Ideas  · Level 3
Which choice best supports the conclusion that public transportation is compatible with the use of personal electronic devices?
Question image Question image Question image
A
Lines 59-63 (“The . . . subways”)
B
Lines 63-67 (“Part . . . annoyances”)
C
Lines 68-70 (“Even . . . ago”)
D
Lines 77-81 (“Already . . . homes”)
Question 77 of 154   |  Information and Ideas  · Level 3
Which choice is supported by the data in the first figure?
Question image Question image Question image
A
The number of students using public transportation is greater than the number of retirees using public transportation.
B
The number of employed people using public transportation and the number of unemployed people using public transportation is roughly the same.
C
People employed outside the home are less likely to use public transportation than are homemakers.
D
Unemployed people use public transportation less often than do people employed outside the home.
Question 78 of 154   |  Information and Ideas  · Level 3
Taken together, the two figures suggest that most people who use public transportation
Question image Question image Question image
A
are employed outside the home and take public transportation to work.
B
are employed outside the home but take public transportation primarily in order to run errands.
C
use public transportation during the week but use their private cars on weekends.
D
use public transportation only until they are able to afford to buy a car.
Question 79 of 154   |  Craft and Structure  · Level 3
Which choice best reflects the overall sequence of events in the passage?
Question image Question image
A
An experiment is proposed but proves unworkable; a less ambitious experiment is attempted, and it yields data that give rise to a new set of questions.
B
A new discovery leads to reconsideration of a theory; a classic study is adapted, and the results are summarized.
C
An anomaly is observed and simulated experimentally; the results are compared with previous findings, and a novel hypothesis is proposed.
D
An unexpected finding arises during the early phase of a study; the study is modified in response to this finding, and the results are interpreted and evaluated.
Question 80 of 154   |  Craft and Structure  · Level 3
As used in line 7, “challenged” most nearly means
Question image Question image
A
dared.
B
required.
C
disputed with.
D
competed with.
Question 81 of 154   |  Information and Ideas  · Level 3
Which statement best captures Ken Dial’s central assumption in setting up his research?
Question image Question image
A
The acquisition of flight in young birds sheds light on the acquisition of flight in their evolutionary ancestors.
B
The tendency of certain young birds to jump erratically is a somewhat recent evolved behavior.
C
Young birds in a controlled research setting are less likely than birds in the wild to require perches when at rest.
D
Ground-dwelling and tree-climbing predecessors to birds evolved in parallel.
Question 82 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 1-4 (“At field . . . parents”)
B
Lines 6-11 (“So when . . . fly”)
C
Lines 16-19 (“When . . . measured”)
D
Lines 23-24 (“At first . . . the ground”)
Question 83 of 154   |  Craft and Structure  · Level 3
In the second paragraph (lines 12-32), the incident involving the local rancher mainly serves to
Question image Question image
A
reveal Ken Dial’s motivation for undertaking his project.
B
underscore certain differences between laboratory and field research.
C
show how an unanticipated piece of information influenced Ken Dial’s research.
D
introduce a key contributor to the tree-down theory.
Question 84 of 154   |  Information and Ideas  · Level 3
After Ken Dial had his “‘aha’ moment” (line 41), he
Question image Question image
A
tried to train the birds to fly to their perches.
B
studied videos to determine why the birds no longer hopped.
C
observed how the birds dealt with gradually steeper inclines.
D
consulted with other researchers who had studied Chukar Partridges.
Question 85 of 154   |  Information and Ideas  · Level 3
The passage identifies which of the following as a factor that facilitated the baby Chukars’ traction on steep ramps?
Question image Question image
A
The speed with which they climbed
B
The position of their flapping wings
C
The alternation of wing and foot movement
D
Their continual hopping motions
Question 86 of 154   |  Craft and Structure  · Level 3
As used in line 61, “document” most nearly means
Question image Question image
A
portray.
B
record.
C
publish.
D
process.
Question 87 of 154   |  Information and Ideas  · Level 3
What can reasonably be inferred about gliding animals from the passage?
Question image Question image
A
Their young tend to hop along beside their parents instead of flying beside them.
B
Their method of locomotion is similar to that of ground birds.
C
They use the ground for feeding more often than for perching.
D
They do not use a flapping stroke to aid in climbing slopes.
Question 88 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 4-6 (“They jumped . . . air”)
B
Lines 28-29 (“They really . . . traveling”)
C
Lines 57-59 (“The birds . . . slopes”)
D
Lines 72-74 (“something . . . theory”)
Question 89 of 154   |  Craft and Structure  · Level 3
These passages discuss the rights and education of women. In Passage 2, the author argues that truth "must be common to all, or it will be inefficacious with respect to its influence on general practice." As used in line 21, "common" most nearly means
A
average.
B
shared.
C
coarse.
D
similar.
Question 90 of 154   |  Information and Ideas  · Level 3
It can be inferred that the authors of Passage 1 believe that running a household and raising children
Question image Question image Question image
A
are rewarding for men as well as for women.
B
yield less value for society than do the roles performed by men.
C
entail very few activities that are difficult or unpleasant.
D
require skills similar to those needed to run a country or a business.
Question 91 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
A
Lines 4-6 ("they are . . . representation")
B
Lines 13-17 ("If the . . . sanction")
C
Lines 25-30 ("Is it . . . home")
D
Lines 30-35 ("And . . . manner")
Question 92 of 154   |  Information and Ideas  · Level 3
According to the author of Passage 2, in order for society to progress, women must
Question image Question image Question image
A
enjoy personal happiness and financial security.
B
follow all currently prescribed social rules.
C
replace men as figures of power and authority.
D
receive an education comparable to that of men.
Question 93 of 154   |  Craft and Structure  · Level 3
In Passage 2, the author writes that tyrants "are all eager to crush reason; yet always assert that they usurp its throne only to be useful." As used in line 50, "reason" most nearly means
A
motive.
B
sanity.
C
intellect.
D
explanation.
Question 94 of 154   |  Information and Ideas  · Level 4
In Passage 2, the author claims that freedoms granted by society's leaders have
Question image Question image Question image
A
privileged one gender over the other.
B
resulted in a general reduction in individual virtue.
C
caused arguments about the nature of happiness.
D
ensured equality for all people.
Question 95 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
A
Lines 41-45 ("Contending . . . virtue")
B
Lines 45-47 ("truth . . . practice")
C
Lines 65-66 ("If so . . . rest")
D
Lines 72-78 ("Consider . . . happiness")
Question 96 of 154   |  Craft and Structure  · Level 4
In lines 61-65, the author of Passage 2 refers to a statement made in Passage 1 in order to
Question image Question image Question image
A
call into question the qualifications of the authors of Passage 1 regarding gender issues.
B
dispute the assertion made about women in the first sentence of Passage 1.
C
develop her argument by highlighting what she sees as flawed reasoning in Passage 1.
D
validate the concluding declarations made by the authors of Passage 1 about gender roles.
Question 97 of 154   |  Craft and Structure  · Level 4
Which best describes the overall relationship between Passage 1 and Passage 2?
Question image Question image Question image
A
Passage 2 strongly challenges the point of view in Passage 1.
B
Passage 2 draws alternative conclusions from the evidence presented in Passage 1.
C
Passage 2 elaborates on the proposal presented in Passage 1.
D
Passage 2 restates in different terms the argument presented in Passage 1.
Question 98 of 154   |  Craft and Structure  · Level 4
The authors of both passages would most likely agree with which of the following statements about women in the eighteenth century?
Question image Question image Question image
A
Their natural preferences were the same as those of men.
B
They needed a good education to be successful in society.
C
They were just as happy in life as men were.
D
They generally enjoyed fewer rights than men did.
Question 99 of 154   |  Craft and Structure  · Level 4
How would the authors of Passage 1 most likely respond to the points made in the final paragraph of Passage 2?
Question image Question image Question image
A
Women are not naturally suited for the exercise of civil and political rights.
B
Men and women possess similar degrees of reasoning ability.
C
Women do not need to remain confined to their traditional family duties.
D
The principles of natural law should not be invoked when considering gender roles.
Question 100 of 154   |  Craft and Structure  · Level 4
How do the words “can,” “may,” and “could” in the third paragraph (lines 19-41) help establish the tone of the paragraph?
Question image Question image Question image
A
They create an optimistic tone that makes clear the authors are hopeful about the effects of their research on colony collapse disorder.
B
They create a dubious tone that makes clear the authors do not have confidence in the usefulness of the research described.
C
They create a tentative tone that makes clear the authors suspect but do not know that their hypothesis is correct.
D
They create a critical tone that makes clear the authors are skeptical of claims that pyrethrums are inherent in mono-crops.
Question 101 of 154   |  Information and Ideas  · Level 4
In line 42, the authors state that a certain hypothesis “can best be tested by a trial.” Based on the passage, which of the following is a hypothesis the authors suggest be tested in a trial?
Question image Question image Question image
A
Honeybees that are exposed to both pyrethrums and mites are likely to develop a secondary infection by a virus, a bacterium, or a fungus.
B
Beekeepers who feed their honeybee colonies a diet of a single crop need to increase the use of insecticides to prevent mite infestations.
C
A honeybee diet that includes pyrethrums results in honeybee colonies that are more resistant to mite infestations.
D
Humans are more susceptible to varroa mites as a result of consuming nutritionally deficient food crops.
Question 102 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
A
Lines 3-5 (“These mites . . . viruses”)
B
Lines 16-18 (“In fact . . . cream”)
C
Lines 19-21 (“We suspect . . . deficient”)
D
Lines 24-28 (“Without . . . bees”)
Question 103 of 154   |  Information and Ideas  · Level 4
The passage most strongly suggests that beekeepers’ attempts to fight mite infestations with commercially produced insecticides have what unintentional effect?
Question image Question image Question image
A
They increase certain mite populations.
B
They kill some beneficial forms of bacteria.
C
They destroy bees’ primary food source.
D
They further harm the health of some bees.
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
A
Lines 1-2 (“Honey bees . . . mites”)
B
Lines 6-7 (“Little . . . control”)
C
Lines 31-35 (“In addition . . . infestation”)
D
Lines 47-50 (“Mites . . . control colonies”)
Question 105 of 154   |  Craft and Structure  · Level 5
As used in line 35, “postulate” most nearly means to
Question image Question image Question image
A
make an unfounded assumption.
B
put forth an idea or claim.
C
question a belief or theory.
D
conclude based on firm evidence.
Question 106 of 154   |  Craft and Structure  · Level 5
The main purpose of the fourth paragraph (lines 42-50) is to
Question image Question image Question image
A
summarize the results of an experiment that confirmed the authors’ hypothesis about the role of clover in the diets of wild-type honeybees.
B
propose an experiment to investigate how different diets affect commercial honeybee colonies’ susceptibility to mite infestations.
C
provide a comparative nutritional analysis of the honey produced by the experimental colonies and by the control colonies.
D
predict the most likely outcome of an unfinished experiment summarized in the third paragraph (lines 19-41).
Question 107 of 154   |  Information and Ideas  · Level 5
An unstated assumption made by the authors about clover is that the plants
Question image Question image Question image
A
do not produce pyrethrums.
B
are members of the Chrysanthemum genus.
C
are usually located near wild-type honeybee colonies.
D
will not be a good food source for honeybees in the control colonies.
Question 108 of 154   |  Information and Ideas  · Level 5
Based on data in the table, in what percent of colonies with colony collapse disorder were the honeybees infected by all four pathogens?
Question image Question image Question image
A
\(0\) percent
B
\(77\) percent
C
\(83\) percent
D
\(100\) percent
Question 109 of 154   |  Information and Ideas  · Level 5
Based on data in the table, which of the four pathogens infected the highest percentage of honeybee colonies without colony collapse disorder?
Question image Question image Question image
A
IAPV
B
KBV
C
Nosema apis
D
Nosema ceranae
Question 110 of 154   |  Information and Ideas  · Level 5
Do the data in the table provide support for the authors’ claim that infection with varroa mites increases a honeybee’s susceptibility to secondary infections?
Question image Question image Question image
A
Yes, because the data provide evidence that infection with a pathogen caused the colonies to undergo colony collapse disorder.
B
Yes, because for each pathogen, the percent of colonies infected is greater for colonies with colony collapse disorder than for colonies without colony collapse disorder.
C
No, because the data do not provide evidence about bacteria as a cause of colony collapse disorder.
D
No, because the data do not indicate whether the honeybees had been infected with mites.
Question 111 of 154   |  Standard English Conventions  · Level 1
Shed Some Light on the Workplace Studies have shown that employees are happier, healthier, and more productive when they work in an environment in which temperatures are carefully controlled. New buildings may be designed with these studies in mind, but many older buildings were not, resulting in spaces that often depend primarily on artificial lighting.
Which choice is best for the underlined portion "healthier, and more"?
A
NO CHANGE
B
healthy, and more
C
healthier, and they are
D
healthier, being more
Question 112 of 154   |  Expression of Ideas  · Level 1
Studies have shown that employees are happier, healthier, and more productive when they work in an environment in which temperatures are carefully controlled.
Which choice provides the most appropriate introduction to the passage?
Question image Question image Question image Question image
A
NO CHANGE
B
that affords them adequate amounts of natural light.
C
that is thoroughly sealed to prevent energy loss.
D
in which they feel comfortable asking managers for special accommodations.
Question 113 of 154   |  Expression of Ideas  · Level 1
A study conducted in 2013 by Northwestern University in Chicago showed that inadequate natural light could result in eye strain, headaches, and fatigue, as well as interference with the body's circadian rhythms. Circadian rhythms, which are controlled by the bodies biological clocks, influence body temperature, hormone release, cycles of sleep and wakefulness, and other bodily functions. At this point, the writer is considering adding the following sentence. "Workers in offices with windows sleep an average of 46 minutes more per night than workers in offices without windows."
Should the writer make this addition here?
A
Yes, because it supplies quantitative data that will be examined in the rest of the paragraph.
B
Yes, because it explains the nature of the bodily functions referred to in the next sentence.
C
No, because it interrupts the discussion of circadian rhythms.
D
No, because it does not take into account whether workers were exposed to sunlight outside the office.
Question 114 of 154   |  Standard English Conventions  · Level 1
Circadian rhythms, which are controlled by the bodies biological clocks, influence body temperature, hormone release, cycles of sleep and wakefulness, and other bodily functions.
Which choice is best for the underlined portion "bodies biological clocks"?
A
NO CHANGE
B
bodies' biological clocks',
C
body's biological clocks,
D
body's biological clock's,
Question 115 of 154   |  Standard English Conventions  · Level 1
Disruptions of circadian rhythms have been linked to sleep disorders, diabetes, depression, and bipolar disorder. Like any other health problems, these ailments can increase employee absenteeism, which, in turn, is costly for employers.
Which choice is best for the underlined word "is"?
A
NO CHANGE
B
are
C
is being
D
have been
Question 116 of 154   |  Expression of Ideas  · Level 1
One company in California gained a huge boost in its employees' morale when it moved from an artificially lit distribution facility to one with natural illumination.
Which choice best supports the statement made in the previous sentence?
A
NO CHANGE
B
saw a 5 percent increase in productivity
C
saved a great deal on its operational costs
D
invested large amounts of time and capital
Question 117 of 154   |  Expression of Ideas  · Level 2
In context, which choice best combines the underlined sentences? "Artificial light sources are also costly aside from lowering worker productivity. They typically constitute anywhere from 25 to 50 percent of a building's energy use."
A
Aside from lowering worker productivity, artificial light sources are also costly, typically constituting anywhere from 25 to 50 percent of a building's energy use.
B
The cost of artificial light sources, aside from lowering worker productivity, typically constitutes anywhere from 25 to 50 percent of a building's energy use.
C
Typically constituting 25 to 50 percent of a building's energy use, artificial light sources lower worker productivity and are costly.
D
Artificial lights, which lower worker productivity and are costly, typically constitute anywhere from 25 to 50 percent of a building's energy use.
Question 118 of 154   |  Expression of Ideas  · Level 2
When a plant in Seattle, Washington, was redesigned for more natural light, the company was able to enjoy annual electricity cost reductions of \$500,000 each year.
Which choice is best for the underlined portion "each year"?
A
NO CHANGE
B
every year.
C
per year.
D
DELETE the underlined portion and end the sentence with a period.
Question 119 of 154   |  Expression of Ideas  · Level 2
Choose the option that best completes the underlined portion.
Question image Question image Question image Question image
A
NO CHANGE
B
Nevertheless,
C
Alternatively,
D
Finally,
Question 120 of 154   |  Standard English Conventions  · Level 2
Choose the option that best completes the underlined portion.
Question image Question image Question image Question image
A
NO CHANGE
B
they are
C
which are
D
those being
Question 121 of 154   |  Standard English Conventions  · Level 2
Choose the option that best completes the underlined portion.
Question image Question image Question image Question image
A
NO CHANGE
B
of
C
from
D
DELETE the underlined portion.
Question 122 of 154   |  Standard English Conventions  · Level 2
Just as travelers taking road trips today may need to take a break for food at a rest area along the highway, settlers traversing the American West by train in the mid-1800s often found [12] themselves in need of refreshment.
A
NO CHANGE
B
himself or herself
C
their selves
D
oneself
Question 123 of 154   |  Expression of Ideas  · Level 2
Which choice provides the most logical introduction to the sentence? "[13] Despite having worked for railroad companies, Fred Harvey, an English-born entrepreneur. He decided to open his own restaurant business to serve rail customers."
A
NO CHANGE
B
He had lived in New York and New Orleans, so
C
To capitalize on the demand for good food,
D
DELETE the underlined portion.
Question 124 of 154   |  Standard English Conventions  · Level 2
Fred Harvey, an English-born [14] entrepreneur. He decided to open his own restaurant business to serve rail customers.
A
NO CHANGE
B
entrepreneur:
C
entrepreneur; he
D
entrepreneur,
Question 125 of 154   |  Standard English Conventions  · Level 3
These Harvey Houses, which constituted the first restaurant chain in the United States, [15] was unique for its high standards of service and quality.
A
NO CHANGE
B
were unique for their
C
was unique for their
D
were unique for its
Question 126 of 154   |  Craft and Structure  · Level 3
Which choice best maintains the tone established in the passage? "The menu was modeled after those of fine restaurants, so the food was leagues beyond the [16] sinister fare travelers were accustomed to receiving in transit."
A
NO CHANGE
B
surly
C
abysmal
D
icky
Question 127 of 154   |  Expression of Ideas  · Level 3
The writer is considering deleting the previous sentence: "Although women did not traditionally work in restaurants in the nineteenth century, Harvey decided to try employing women as waitstaff." Should the writer make this change?
A
Yes, because it introduces information that is irrelevant at this point in the passage.
B
Yes, because it does not logically follow from the previous paragraph.
C
No, because it provides a logical introduction to the paragraph.
D
No, because it provides a specific example in support of arguments made elsewhere in the passage.
Question 128 of 154   |  Expression of Ideas  · Level 3
[18] Response to the advertisement was overwhelming, even tremendous, and Harvey soon replaced the male servers at his restaurants with women.
A
NO CHANGE
B
Response to the advertisement was overwhelming,
C
Overwhelming, even tremendous, was the response to the advertisement,
D
There was an overwhelming, even tremendous, response to the advertisement,
Question 129 of 154   |  Standard English Conventions  · Level 3
Not only were such regulations meant to ensure the efficiency of the business and the safety of the workers, [19] but also helped to raise people's generally low opinion of the restaurant industry.
A
NO CHANGE
B
but also helping
C
also helping
D
but they also helped
Question 130 of 154   |  Expression of Ideas  · Level 3
Which choice most logically follows the previous sentence? "In return for the servers' work, the position paid quite well for the time: \$17.50 a month, plus tips, meals, room and board, laundry service, and travel expenses. [20]"
A
The growth of Harvey's business coincided with the expansion of the Santa Fe Railway, which served large sections of the American West.
B
Harvey would end up opening dozens of restaurants and dining cars, plus 15 hotels, over his lucrative career.
C
These benefits enabled the Harvey Girls to save money and build new and exciting lives for themselves in the so-called Wild West.
D
The compensation was considered excellent at the time, though it may not seem like much money by today's standards.
Question 131 of 154   |  Standard English Conventions  · Level 3
Living independently and demonstrating an intense work [21] ethic; the Harvey Girls became known as a transformative force in the American West.
A
NO CHANGE
B
ethic:
C
ethic, and
D
ethic,
Question 132 of 154   |  Expression of Ideas  · Level 3
The writer is considering revising the underlined portion of the sentence "the Harvey Girls became known as a transformative force in the American [22] West." to read: "West, inspiring books, documentaries, and even a musical." Should the writer add this information here?
A
Yes, because it provides examples of the Harvey Girls' influence.
B
Yes, because it serves as a transitional point in the paragraph.
C
No, because it should be placed earlier in the passage.
D
No, because it contradicts the main claim of the passage.
Question 133 of 154   |  Expression of Ideas  · Level 3
Which choice most effectively combines the underlined sentences?
A
When applied to apples, 1-MCP lengthens storage life by three to four times, allowing producers to sell their apples in the off-season, months after the apples have been harvested.
B
Producers are allowed to sell their apples months after they have been harvested—in the off-season—because 1-MCP, when applied to apples, lengthens their storage life by three to four times.
C
1-MCP lengthens storage life, when applied to apples, by three to four times, allowing producers to sell their apples months after the apples have been harvested in the off-season.
D
Months after apples have been harvested, producers are allowed to sell their apples, in the off-season, because 1-MCP lengthens storage life when applied to apples by three to four times.
Question 134 of 154   |  Standard English Conventions  · Level 3
1-MCP works by limiting a fruit's production of ethylene, 24 it is a chemical that causes fruit to ripen and eventually rot.
A
NO CHANGE
B
being
C
that is
D
DELETE the underlined portion.
Question 135 of 154   |  Craft and Structure  · Level 3
While 1-MCP keeps apples 25 tight and crisp for months, it also limits their scent production.
A
NO CHANGE
B
firm
C
stiff
D
taut
Question 136 of 154   |  Standard English Conventions  · Level 3
While 1-MCP keeps apples tight and crisp for months, it also limits 26 their scent production.
A
NO CHANGE
B
there
C
its
D
it's
Question 137 of 154   |  Standard English Conventions  · Level 3
This may not be much of a problem with certain kinds of apples that are not naturally very fragrant, such as Granny Smith, but for apples that are prized for their fruity fragrance, such as McIntosh, this can be a problem with consumers, 27 that will reject apples lacking the expected aroma.
A
NO CHANGE
B
they
C
which
D
who
Question 138 of 154   |  Standard English Conventions  · Level 3
But some fruits do not respond as well to 1-MCP as others 28 did, and some even respond adversely.
A
NO CHANGE
B
do,
C
have,
D
will,
Question 139 of 154   |  Standard English Conventions  · Level 3
Take Bartlett 29 pears, for instance, unless they are treated with exactly the right amount of 1-MCP at exactly the right time, they will remain hard and green until they rot, and consumers who experience this will be unlikely to purchase them again.
A
NO CHANGE
B
pears, for instance:
C
pears for instance,
D
pears. For instance,
Question 140 of 154   |  Expression of Ideas  · Level 3
Considering the paragraph's discussion of fruits that respond poorly to 1-MCP (sentence [1] introduces ethylene limitation; [2]–[3] discuss apples' scent; [4] notes some fruits respond adversely; [5] notes high-ethylene fruits do not respond well; [6] gives the Bartlett pear example), to make this paragraph most logical, sentence 4 should be placed
A
where it is now.
B
after sentence 1.
C
after sentence 2.
D
after sentence 5.
Question 141 of 154   |  Information and Ideas  · Level 4
As the graph shows, the flesh of untreated Empire apples that are first stored in the open air undergoes 31 roughly five percent less browning than the flesh of untreated Empire apples that are immediately put into storage in a controlled environment. Which choice offers an accurate interpretation of the data in the graph?
Question image
A
NO CHANGE
B
slightly more browning than
C
twice as much browning as
D
substantially less browning than
Question 142 of 154   |  Information and Ideas  · Level 4
However, when Empire apples are treated with 1-MCP, 32 their flesh turns brown when the apples are first stored in the open air, though not under other conditions. Which choice offers an accurate interpretation of the data in the graph?
Question image Question image Question image Question image Question image
A
NO CHANGE
B
roughly half of their flesh turns brown, regardless of whether the apples are first stored in the open air.
C
their flesh browns when they are put directly into a controlled atmosphere but not when they are first stored in the open air.
D
their flesh turns brown when they are first stored in the open air, though not as quickly as the apple flesh in an untreated group does.
Question 143 of 154   |  Expression of Ideas  · Level 4
Although researchers continue to search for the right combination of factors that will keep fruits fresh and attractive, 33 the problem may be that consumers are overly concerned with superficial qualities rather than the actual freshness of the fruit. The writer wants a conclusion that conveys how the shortcomings of 1-MCP presented in the passage affect the actions of people in the fruit industry. Which choice best accomplishes this goal?
A
NO CHANGE
B
many of the improvements to fruit quality they have discovered so far have required trade-offs in other properties of the fruit.
C
for now many fruit sellers must weigh the relative values of aroma, color, and freshness when deciding whether to use 1-MCP.
D
it must be acknowledged that 1-MCP, despite some inadequacies, has enabled the fruit industry to ship and store fruit in ways that were impossible before.
Question 144 of 154   |  Standard English Conventions  · Level 4
From Michelangelo's David to Vincent van Gogh's series of self-portraits to Grant Wood's iconic image of a farming couple in American 34 Gothic. These works by human artists have favored representations of members of their own species to those of other species.
A
NO CHANGE
B
Gothic. Works
C
Gothic; these works
D
Gothic, works
Question 145 of 154   |  Standard English Conventions  · Level 4
Indeed, when we think about animals depicted in well-known works of art, the image of dogs playing poker—popularized in a series of paintings by American artist C. M. 35 Coolidge, may be the first and only one that comes to mind.
A
NO CHANGE
B
Coolidge—
C
Coolidge;
D
Coolidge
Question 146 of 154   |  Standard English Conventions  · Level 4
Yet some of the earliest known works of art, including paintings and drawings tens of thousands of years old found on cave walls in Spain and France, 36 portrays animals.
A
NO CHANGE
B
portraying
C
portray
D
has portrayed
Question 147 of 154   |  Expression of Ideas  · Level 4
Nor has artistic homage to our fellow creatures entirely died out in the millennia since, 37 despite the many years that have passed between then and now. The writer wants to link the first paragraph with the ideas that follow. Which choice best accomplishes this goal?
Question image Question image Question image Question image
A
NO CHANGE
B
with special attention being paid to domestic animals such as cats.
C
even though most paintings in museums are of people, not animals.
D
as the example of one museum in Russia shows.
Question 148 of 154   |  Standard English Conventions  · Level 4
For centuries, cats have guarded this famous museum, ridding it of mice, rats, and other rodents that could damage the art, not to mention scared off visitors.
A
NO CHANGE
B
scaring
C
scare
D
have scared
Question 149 of 154   |  Expression of Ideas  · Level 5
[1] The State Hermitage Museum in St. Petersburg, one of Russia's greatest art museums, has long had a productive partnership with a much loved animal: the cat. [2] For centuries, cats have guarded this famous museum, ridding it of mice, rats, and other rodents that could damage the art, not to mention scaring off visitors. [3] Peter the Great introduced the first cat to the Hermitage in the early eighteenth century. [4] Later Catherine the Great declared the cats to be official guardians of the galleries. [5] Continuing the tradition, Peter's daughter Elizaveta introduced the best and strongest cats in Russia to the Hermitage. [6] Today, the museum holds a yearly festival honoring these faithful workers. To make this paragraph most logical, sentence 5 should be placed
A
where it is now.
B
after sentence 1.
C
after sentence 3.
D
after sentence 6.
Question 150 of 154   |  Craft and Structure  · Level 5
These cats are so cherished by the museum that officials recently 40 decreed original paintings to be made of six of them.
A
NO CHANGE
B
commissioned
C
forced
D
licensed
Question 151 of 154   |  Standard English Conventions  · Level 5
The person chosen for this 41 task, digital artist, Eldar Zakirov painted the cats in the style traditionally used by portrait artists, in so doing presenting the cats as noble individuals worthy of respect.
A
NO CHANGE
B
task, digital artist, Eldar Zakirov,
C
task digital artist Eldar Zakirov,
D
task, digital artist Eldar Zakirov,
Question 152 of 154   |  Expression of Ideas  · Level 5
The person chosen for this task, digital artist Eldar Zakirov, painted the cats in the style traditionally used by portrait artists, in so doing presenting the cats as noble individuals worthy of respect. Which choice most effectively sets up the examples that follow?
A
NO CHANGE
B
managing to capture unique characteristics of each cat.
C
commenting on the absurdity of dressing up cats in royal robes.
D
indicating that the cats were very talented mouse catchers.
Question 153 of 154   |  Expression of Ideas  · Level 5
The wise, thoughtful green eyes of the subject of The Hermitage Court Outrunner Cat mimic those of a trusted royal advisor. 43 Some may find it peculiar to observe cats portrayed in formal court poses, but these felines are benefactors of the museum as important as any human. At this point, the writer is considering adding the following sentence. "The museum occupies six historic buildings, including the Winter Palace, a former residence of Russian emperors." Should the writer make this addition here?
A
Yes, because it shows the link between Peter the Great and the cat paintings.
B
Yes, because it helps explain why Russian art celebrates animals.
C
No, because it fails to indicate why the Winter Palace became an art museum.
D
No, because it provides background information that is irrelevant to the paragraph.
Question 154 of 154   |  Writing  · Level 5
Some may find it peculiar to observe cats portrayed in formal court poses, but these felines, by 44 mastering the art of killing mice and rats, are benefactors of the museum as important as any human.
A
NO CHANGE
B
acting as the lead predator in the museum's ecosystem,
C
hunting down and killing all the mice and rats one by one,
D
protecting the museum's priceless artworks from destructive rodents,

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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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