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You will have three hours to answer 114 questions in total from both the English and Math sections of the exam. Please note that some sections may have additional instructions.
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Suggested Time: 90 Minutes
57 Questions
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Revising/Editing
Questions 1 – 20
Directions: For questions 1 to 6, you will be asked to recognize and correct errors in sentences or short paragraphs.
1. Which is the most precise revision for the words talked to some people who happened to be around?
2. Which edit should be made to correct this sentence?
3. Which sentence should be revised to correct a vague pronoun?
4. Which edit should be made to correct this sentence?
5. Which sentence should be revised to correct an inappropriate shift in verb tense?
6. What is the best way to combine these sentences to clarify the relationship between the ideas?
Directions: Read the passages below to answer questions 7 to 20. The questions will focus on
improving the writing quality of the passage to follow the conventions of standard written English.
7. Which edit is needed to correct sentence 1?
8. Which transitional expression should be added to the beginning of sentence 3?
9. Which sentence would best follow sentence 5 to support the argument presented in the passage?
10. What is the best way to combine sentences 7 and 8 to clarify the relationship between ideas?
11. Which sentence is irrelevant to the topic presentenced in the passage and should be deleted?
12. Which revision of sentence 12 uses the most precise language?
13. Which sentence would best follow and support sentence 12?
14. Which edit is needed to correct sentence 1?
15. Which sentence would best follow sentence 4 to support the argument presented in the passage?
16. Which sentence is irrelevant to the argument presented in the passage and should be deleted?
17. What is the best way to combine sentences 7 and 8 to clarify the relationship between ideas?
18. Which sentence would best begin paragraph 4 as a topic sentence?
19. Which revision of sentence 10 uses the most precise language?
20. Which concluding sentence should be added after sentence 13 to support the topic presented in the passage?
Reading Comprehension
Questions 21-57
Directions: Analyze the passages below, and answer the commensurate questions. Only use information provided within the passage for your answers. There is only one answer for each question.
21. Which option best expresses the symbolic meaning of the “road” and the overall theme?
22. How many lines are there in this poem?
23. How many stanzas are there in this poem?
24. How many travelers are there in the poem?
25. What is the time of day in the poem?
26. Which road did the traveler take?
27. Which of the following best tells what this passage is about?
28. According to the passage, why did Charles VII agree to let Joan lead his troops?
29. In which of the following was Joan unsuccessful?
30. It can be inferred that the chief reason for Joan and Charles VII going to Reims was to
31. As used in line 41 “sound” most likely means
32. It can be interred that Charles had someone else pretend to be king and receive Joan at their first meeting because he
33. What can be a good description of this passage?
34. Why is the Western Cwm called the “Valley of Silence”?
35. What is the Hillary Step?
36. According to the passage, when docs the Kumbu Icefall become very dangerous to climb?
37. Why do climbers attempt to climb Mount Everest during April and May?
38. At which point do climbers have a two to three- day window to decide whether to make a summit attempt or return to the Base Camp?
39. Which of the following best describes what this passage is about?
40. What does the author mean in Paragraph 1 when he or she writes, “The attribution to Berners is now considered dubious by many historians, though”?
41. Based on the passage, why did aristocrats initially want to keep common people from adopting the hobby of angling?
42. Which of these best explains the meaning of “commercialized” in Paragraph 3?
43. Based on the passage, how did the train and automobile help the growth of fishing?
44. Based on the passage, why did fishing shrink in popularity during the Great Depression?
45. What is this passage mostly about?
46. According to the passage, the attorney general is the lead legal counsel to the president and _____ ?
47. What is one reason provided in the passage for why the department of justice was created?
48. What does the author imply was true prior to 1870?
49. What is not listed as a duty of an Attorney General?
50. Based on the passage, a successful attorney general must be outstanding at both _____ ?
51. What is this passage mostly about?
52. Why does the author never feel “settled?”
53. What is one impact of the author’s bad health?
54. Why does the author always write down his thoughts?
55. What does the author imply about himself?
56. Locum tenens most closely means:
57. What does the author mean when he says he is “vividly conscious of the insecurity of my tenure here” (lines 17-18)?
Mathematics
Suggested Time: 90 minutes
57 questions
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Write-In Problems
Questions 58-62
Directions: The following five questions are write-in problems. Please be sure to write your answer in the boxes below each question.
58. There are 69 people in a train car. Of these, there are 15 more women than men. How many men are there in the train car?
There are men in the train car.
59. The total fare for 2 adults and 3 children on an excursion boat is $14. If each child’s fare is one half of each adult’s fare, what is the adult fare in dollars? (The $ symbol is already added for you.)
The adult fare, in dollars, is $
60. Camp coordinator Simon has 576 bottles of water. This is enough water for 6 days if each camper drinks 2 bottles of water a day. If the camp has to accommodate 24 more campers who will also drink 2 water bottles a day, the 576 bottles of water would run out after how many days?
The bottles of water would run out after days.
61. Working at constant rates. Jack can fetch 7 pails of water in 25 minutes and Jill can fetch 4 pails of water in 15 minutes. What is the total number of pails of water the two of them can fetch in 5 hours?
Together they can fetch pails of water in 5 hours.
62. There are 660 feet in one furlong, and 1/2 of a fathom in one yard. How many fathoms are there in one furlong?
There are fathoms in one furlong.
Multiple Choice Problems
Questions 63-114
Directions: Select the best answer from the choices given by carefully solving each problem.
63. A tray of nickels, dimes and quarters for an amount of $3.20 contains 3 times as many quarters as nickels and 5 more dimes than nickels. How many coins in each kind are in the tray?
64. What is the sum of all the positive integer factors of 36?
65. Belle deposited $600 in a bank and had $636 at the end of one year. If Belle’s brother Brian deposits $900 in the same bank and earns the same simple interest, how much would he have after one year?
66. Cindy pays 36% of her monthly income towards taxes and 24% towards rent. Her grocery costs arc half of her rent and her transportation costs are half of her grocery costs. If she is left with $2,400 after paying for all of the above expenses, what is Cindy’s monthly income?
67. ADGJ is a square with each side measuring 3√2. If AB = BC = CD and DE = EF = FG, what is the perimeter of the shaded octagon?
68. If 52 + 6x = 0, what is the greatest integer less than x?
69. In the figure above, ACDF is rectangle. Point B is the midpoint of AC and point E is the midpoint of side FD. If BC = 15 and CD = 16, what is the combined area of the two shaded triangles?
70. Which set of fractions below is correctly arranged in ascending order?
71. A square has one side with ends at (0,0) and (-3,4). What is the area of the square?
72. Myrtle paid a one-time registration fee for dance lessons. Additionally, she paid a certain amount for each lesson. If the total amount paid is represented by the equation y = 20x + 30, what does the value 30 represent in the equation?
73. Mr. West is a high school teacher whose salary is $33,660 for this school year, which has 180 days. In Mr. West’s school district, substitute teachers arc paid $85 per day. If Mr. West takes a day off without pay and a substitute teacher is paid to teach his classes, how much less does the school district pay in salary by paying a substitute teacher instead of Mr. West for that day?
74. If a gumball is randomly chosen from a bag that contains exactly 6 yellow gumballs, 5 green gumballs, and 4 red gumballs, what is the probability that the gumball chosen is NOT green?
75. In the xy-plane, what is the y -intercept of the line -9x – 3y = 15?
76. In the figure above, MQ is a straight line. If PM = PN, what is the value of x?
77. A certain phone call costs 75 cents for the first 3 minutes plus 15 cents for each additional minute. If the call lasted x minutes and x is an integer greater than 3, which of the following expresses the cost of the call, in dollars?
78. Arty has exactly 5 blue pens, 6 black pens, and 4 red pens in his backpack. If he pulls out one pen at random from his backpack, what is the probability that the pen is either red or black?
79. The average 20, 70, and x is 40. If the average of 20, 70, x, and y is 50. Then y =
80. A lighthouse blinks regularly 5 times a minute. A neighboring lighthouse blinks 4 times a minute. If they start blinking simultaneously, after how many seconds will they blink together again?
81. According to the graph above, that number of books borrowed during the month of January was what fraction of the total number of books borrowed during the first six month of the year?
82. If 40 percent of r is equal to s, then which of the following is equal to 10 percent of r?
83. If x < -4, which of the following must be true?
84. In the figure above, the area of △ABC is 6. If the length of BC is 1/3 the length of AC, then AB =
85. If ((c – b) / a) = d, then b =
86. The figure above is made of 5 squares. If the area of the figure is 40, what is the perimeter of the figure?
87. If the three-digit number 5W2 is evenly divisible by 8, which of the following could be the value of digit W?
88. If (3/11) + (3/11) + (3/11) = (x/33), what is the value of x/9?
89. In the figure above, AC = 32 and CE = 20. If B is the midpoint of AC and D is the midpoint of CE, what is the area of quadrilateral BFDC?
91. Caroline builds and sells high-performance personal computers. She bought and sold 4 machines last month as shown in the table below. Her total profit from the 4 sales was what percent of the total build costs?
92. The table above lists the x- and y- coordinates of several points on the graph of y = (3x – 1)/2 . What is the value of s + t ?
93. A square target has side length 10 inches. In the center of the target is a smaller square, as shown, with side length 2 inches. If a dart randomly hits within the larger square, what is the probability that it will land in the smaller square?
94. A biologist wants to know how many carp (a type of fish) live in a particular lake. She captures 50 carp, attaches a small but permanent tag on each fish’s fin, and returns them to the water otherwise unharmed. Two days later, she captures another 50 carp and notices that 5 of the captured fish bore her tag on their fin. Which of the following is the most reasonable estimate of the total number of carp in this lake?
95. The mean, median, and mode of a collection of five positive integers arc all 5. What is the largest possible number in the set?
96. A cylindrical-shaped measuring cup has diameter 6 centimeters and height 10 centimeters. Six equally-spaced dots are marked along its height. If 220 cubic centimeters of liquid are added to the cup, the top of the liquid will be at a level closest to which dot?
97. Jay wants to tie a rope from the middle of a 32- foot vertical pole to a point on the ground 12 feet away from the base of the pole. What is the length of the rope?
98. For an amount of $15, you get either 5 soups or 12 burritos. How much money would you need to buy one soup and one burrito?
99. How many positive integers less than 100 arc divisible by 7 but not divisible by 3 or 5?
100. Given positive integers a and b, if the value of b is twice the value of a, which expression below will produce the least value?
101. In the figure above, the rectangle ACDE has an area of 440 square meters.
The points B and F are the midpoints of the sides AC and AE respectively. What is the area of the triangle, BCD?
102. The least common multiple of two numbers, x and y can be represented by:
LCM(x,y). The following is true for the concept of the least common multiple:
If we can find integers, a and b for both x and y respectively such that ax = by = LCM(x, y), then ax or by is the least common multiple of x and y
What is the least common multiple of √2 • π?
103. For how many values of x is the function not equal to 1?
f(x) = (x-3)/(x-3)
104. If today is Monday, what day will it be in 49² from now?
105. If f(x) = x3, then how many times greater is f(4) than f(2)?
106. Convert (3/40) to a decimal.
107. How many prime numbers are between 4 and 16 inclusive?
108. How many perfect squares are between 9 and 25 exclusive?
109. An octagon, a triangle and a circle all have the same perimeter (circumference for the circle). Which is true of the areas of these shapes? (0 = area of octagon, T = area of triangle, and C = area of circle).
110. If (x/y) = x². then what is (x/y) – ((x/y)²) ?
111. In a scaled drawing, 1 millimeter represents 150 meters. How many square millimeters on the drawing represent 1 square meter?
112. A rectangle is drawn on a coordinate plane. If the coordinates of one corner of the rectangle is (0, -5) and the coordinates of the opposite corner is (7, 3), then what is the area of the rectangle?
113. Which one of the following is equivalent to the expression
114. How many distinct prime factors does 2,520 have?
