Below you will find button to begin the practice SHSAT exam.
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
Questions 1 – 20
Directions: For questions 1 to 5, you will be asked to recognize and correct errors in sentences or short paragraphs.
1. Read this sentence
Which edit should be made to correct this sentence?
2. Read this sentence
Which edit should be made to correct the sentence?
3. Read this paragraph
Which sentence is the least related to the main ideas of the paragraph and could be removed?
4. Read this paragraph
Which sentence needs to be revised to correct a dangling participle?
5. Read this sentence
Which edit should be made to correct the sentence?
Directions: Read the passages below to answer questions 6 to 20. The questions focus on improving the writing quality of the passage to follow the conventions of standard written English?
6. In sentence 2, why is the parenthetical note “(CDC)” necessary?
7. What information could be added to sentence 4 to best improve clarity?
8. How could sentence 6 be rewritten to eliminate the use of parentheses?
9. What kind of major error can be found in sentence 7?
10. Which change would best clarify the repeated use of the pronoun “they” in sentence 8?
11. Which transition word would make the most sense at the beginning of sentence 11?
12. In sentence 11, how many commas should be used in the list?
13. What kind of sentence would best follow sentence 13?
14. Which phrase should be removed from sentence 2 to clarify and strengthen it?
15. If the author of this passage wanted to remove the word “named” from sentence 5, which of the following revisions would be correct?
16. Which sentence would best fit between sentence 5 and sentence 6?
17. How could the author rewrite sentence 7 to avoid the use of passive voice?
18. Which edit is needed to correct sentence 11?
19. What is the best way to combine sentences 13 and 14 to clarify the relationship between ideas?
20. Which of the following sentences would provide the best conclusion following sentence 15?
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 of the following best tells what this passage is about?
22. Why are muscle sounds not normally heard by human beings?
23. What does the passage suggest about unhatched chicks in quail eggs in the same nest?
24. What is the most likely reason that the sharks did not respond to the higher frequency sounds in the second experiments?
25. How does the last sentence contribute to the passage?
26. Why did scientists hypothesize that muscle sounds were a signal for gerbils to groom themselves?
27. Which of the following best tells what this passage is about?
28. Which of the following is not mentioned as a result of the Industrial Revolution?
29. Which of the following is a reason some historians do not consider the Industrial Revolution a time of major innovation?
30. Which of the following is not mentioned as a technological innovation of the Industrial Revolution?
31. According to the passage, the manufacturing of goods shifted from rural areas to urban factories during the 1700s
32. Which of the following serves as the best example of the changes in production before and after the Industrial Revolution?
The following passage is an excerpt from Gulliver’s Travels.
33. Which of the following statements best summarize the central purpose of this text?
34. What is the word principal referring to in the following text?
35. What can the reader infer from this passage?
I would sometimes lie down, and let five or six of them dance on my hand; and at last the boys and girls would venture to come and play at hide-and-seek in my hair.
36. What is the significance of the word mind in the following passage?
The emperor had a mind one day to entertain me with several of the country shows, wherein they exceed all nations I have known, both for dexterity and magnificence.
37. Which of the following assertions does not support the fact that games are a commonplace event in this culture?
My gentlest and good behavior … short time.
38. How does Gulliver’s description of Flimnap’s the treasurer’s, ability to cut a caper on the straight rope, and Reldresal, principal secretary for private affairs, being the second to the treasurer, serve as evidence of the community’s emphasis in regards to the correlation between physical strength and leadership abilities?
39. Which of the following best tells what this passage is about?
40. The description in lines 26-33 (“This precision landing…maneuver.”) develops a key concept of the article by
41. What evidence does the author provide to support the view that bees are the “Einsteins” of the insect world?
42. Which central idea is most supported by studies on insects that exhibit social behavior?
43. It can be inferred that Atsushi Takashima chose to study moths because
44. Which of the following is implied by the phrase “One day a microprocessor will control such robots“ (lines 77-78)
45. Which of the following best tells what this passage is about?
46. What docs the passage imply about how our brain manages information?
47. Which of the following is not mentioned as an example of “retrieval failure” (line 28-29)
48. Which of the following best describes what is suggested by the statement that forgetting can have “uncomfortable consequences” (lines 49-50)
49. What is the most likely reason that the author says parents and teachers are right to worry about students suffering summer learning loss?
50. According to the passage, the brain’s tendency to forget certain information is helpful because
51. Which of the following best tells what this passage is about?
52. Why does the author of the passage explain the process of pipes freezing?
53. Based on the passage, which of these statements is most likely to be true about the author?
54. Based on the passage, why can fossil fuels be expensive?
55. What does the author mean when he or she writes, “For this reason, good, dry wood is one of the main currencies of the informal swap-and-trade economy that often exists in rural towns” ?
56. Based on the passage, why might people use multiple fuel sources throughout the winter?
57. Which best explains the meaning of the phrase “vast population centers” in Paragraph 5?
Suggested Time: 90 minutes
Directions: The following five questions are write-in problems. Type in your answer in the space below.
58. After a 20% discount at the book store, a recipe book sells for $10. What was the original price of the book?
The original price of the book is $
59. If the measure of angle P of triangle PQR is 3x, the measure of angle Q is 5x, and the measure of angle R is 4x. what is the value of x?
60. If Katie scored an 80, 83, and an 88 on her first three tests, what must she score on her fourth test if she wants an average of 85? Enter your answer below.
Katie must score a
61. Suppose 2(a – 3) + 9 = 4a – 7. What is the value of a?
62. Solve for n: ((n + 4)/10) = ((n – 8)/2)
Multiple Choice Problems
Directions: Select the best answer from the choices given by carefully solving each problem.
63. Point P is a point that is not on the line m (not shown). How many distinct lines can be drawn through point P that form a 45° angles with m?
64. Which of the following operations has the same effect on a number as dividing by (3/4) and then multiplying by (3/5) ?
65. Helen is now 12 years old. In 6 years, she will he twice as old as her brother is then. How old is her brother now?
66. The graph above shows the relationship between the number of tickets sold and the amount of money earned from the sale. What is the price of two tickets?
67. At a parade, balloons are given out in the order of blue, red, red, yellow, yellow, yellow, blue, red, red, yellow, yellow, yellow, etc. If this pattern continues, how many red balloons will have been given out when a total of 70 balloons have been distributed?
68. In the diagram above, ABFE and CDHG are squares with sides of 8 and ABCD is a straight line. Side CG and diagonals BH and FD intersect at J. What is the area of the shaded region?
69. What is the difference between 80% of 8 and 8% of 80?
70. If x = 2 and y = 3, (3y – 2x)(3x – 4y) =
71. A rectangular block with a volume of 250 cubic inches was sliced into 2 cubes of equal volume. How much greater, in square inches, is the combined surface area of the 2 cubes than the original surface area of the rectangular block?
72. A train traveling at a speed of 40 miles per hour passes city A on its way to city B. At the same time, on a parallel track, another train traveling at a speed of 30 miles per hour passes city B on its way to city A. If city A and city B are 350 miles apart, how far from city A will the trains meet?
73. The radius of circle A is x, and the radius of circle B is y. The area of A is three times that of B. What is x in terms of y?
74. If ʘx = (1/x) what is the value of 2 • (ʘ4)?
75. Which of the following best represents all values of x that satisfy the inequality 7 – 3x < 1?
76. The angles of a triangle are in a 1:3:5 ratio. What is the degree measure of the largest angle?
77. In the figure above, lines l1 and l2 are parallel. What is the measure of <BAC?
78. Points P and Q lie on the same line and have coordinates (1, 3) and (5, 8), respectively. Which of the following points lies on the same line as points P and Q?
1 ounce = 28.3 grams
1 liter = 1,000 milliliters
The density of a liquid is 1.1 grams per milliliter, which of the following calculations would give the liquid’s density in ounces per liter?
80. Each of the three regions above is a semicircle. If arc AB = 2π, B is the midpoint of AC and C is the midpoint of AD, then the area of the entire shaded figure is
81. Which value for x below satisfies the inequality 129 > -3x > 15?
82. 500(4 – 0.8) – 500 =
83. Three hundred and sixty cubic inches of water is carefully poured into an empty cylindrical container with a diameter of 6 inches. If the water does not overflow the container, how many inches deep will the water in the container be?
84. If 65 percent of x is 195, what is 75 percent of x?
85. At garage A, it costs $8.75 to park a car for the first hour and $1.25 for each additional hour. At garage B, it costs $5.50 for the first hour and $2.50 for each additional hour. What is the difference between the cost of parking a car for 5 hours at garage A and parking it for the same length of time at garage B?
86. A cylinder has a volume of 72π cubic inches and a height of 8 inches. If the height is increased by 4 inches while the diameter of the base stays the same, what will be the volume of the new cylinder, in cube inches?
87. Lisa took 5n photographs on a certain trip. If she gives n photographs to each of her 3 friends, how many photographs will she have left?
88. Katie swam 3/4 as many laps as Ruby. Katie swam 3 1/2 laps. How many laps did Ruby swim?
89. The CEO of Ivy Business Machines (IBM) planned to give each senior engineer a $50,000 bonus from the company fund, but the fund contained $5,000 less than what was needed. So instead the CEO gave each senior engineer a $45,000 bonus and kept the remaining $95,000 for himself. How much money was in the company fund before the bonuses were paid?
90. Arnold bought a shirt originally priced at $80 at a 40% discount and a tie originally priced at $40 at a 55% discount. The total amount Arnold saved is what percent of the original total price of the two items?
91. In the figure above, side AB of a square ABDE is extended to point C. If BC = 8 and CD = 10, what is the perimeter of △ACD?
92. A hollow cylinder (shown above) is open at both ends has an outer diameter of 22 and height of 40. If the walls of the cylinder are 1 unit thick, what is the surface area of the interior of the cylinder?
93. The figure above shows a piece of wire in the shape of a semicircle. If the piece of wire is bent to form a circle without any of the wire overlapping, what is the area of the circle?
94. Rob and Mark begin to walk in opposite directions from the library. If Bob walks at 2.5 miles per hour and Mark walks at 2 miles per hour, after how much time will they be 18 miles apart?
95. Logan needs an adamantium sheet 24 inches wide and 36 inches long. If the price of adamantium is $240 per square yard, how much money would Logan need to spend for this adamantium sheet?
97. Thomson, Henry and Jackson climbed on a platform scale together. The scale showed a reading of 555 pounds. When Jackson got off the scale, the reading was 355 pounds. If Henry weighed 175 pounds, what would be the reading on the scale if only Thomson and Jackson climb on the scale together?
98. If a is a negative integer and b is a positive integer, which expression below must be negative?
99. 15 movie theaters average 600 customers per theater per day. If 6 of the theaters close down but the total theater attendance stays the same, what is the average daily attendance per theater among the remaining theaters?
100. Craig’s sister has x dollars, and Craig has m dollars more than she has. If together they have a total of t dollars, which of the following is equivalent to x dollars?
101. If 6t + 4 = 16, what is t?
102. The variable y is directly proportional to x. If y = 3 when x = 5, then what is y when x = 20?
103. A line passes through the point ( 1,2) and crosses the y-axis at y = 1. Which of the following is an equation for this line?
104. There are 4x + 1 treats in each party favor bag. If a total of 60x + 15 treats are distributed, how many bags are given out?
105. Apples cost $2 each, while oranges cost $3 each. Maria purchased 10 fruits in total and spent $22. How many apples did she buy?
106. What are the roots of x2 + x – 2 ?
107. What is the y-intercept of
y = x(5/3) + (x – 3)(x + 1)?
108. x4 – 16 can be simplified to which of the following?
109. (4x2y4)(3/2) can be simplified to which of the following?
110. If √(1 + x) = 4, what is x?
((x + 2) / x) = 2
What is x?
112. A ball is thrown from the top of a high hill so that the height of the ball as a function of time is
h(t) = -16t2 + 4t + 6, in feet.
What is the maximum height of the ball in feet?
113. A rectangle has a length that is 5 feet longer than three times its width. If the perimeter is 90 ft., what is the length in feet?
114. Five students take a test. The scores of the first four students are 80, 85, 75, and 60. If the median score is 80, which of the following could NOT be the score of the fifth student?