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ACT Diagnostic Exam

Welcome to your first online diagnostic ACT exam. We will use this exam to identify your strengths and weaknesses, allowing us to match you with the perfect instructor. This instructor will leverage your strengths to address any areas in need of improvement. If you'd like to view any images more clearly during the exam, simply click on the picture to zoom in or out. We encourage you to time yourself accurately as if this was the real exam. If you encounter a question you don't know, please refrain from guessing and leave it blank. This will enable your instructor to focus on the specific concepts that require attention. Thank you for choosing College Bound Tutoring. We look forward to working with you and are always available to answer any questions you may have. Please don't hesitate to reach out to us.

75 QUESTIONS 45 MINUTES

In the five passages that follow, certain words and phrases are underlined and numbered. In the
right-hand column, you will find alternatives for the underlined part. In most cases, you are to
choose the one that best expresses the idea, makes the statement appropriate for standard written
English, or is worded most consistently with the style and tone of the passage as a whole. If you
think the original version is best, choose “NO CHANGE.” In some cases, you will find a
question about the underlined part. You are to choose the best answer to the question.
You will also find questions about a section of the passage, or about the passage as a whole.
These questions do not refer to an underlined portion of the passage, but rather are identified by a
number or numbers in a box.
For each question, choose the alternative you consider best and bubble in the corresponding
answer choice. Read each passage through once before you begin to answer the questions that
accompany it. For many of the questions, you must read several sentences beyond the question to
determine the answer. Be sure that you have read far enough ahead each time you choose an
alternative.

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1

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2

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3

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4

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5

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6

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(7)Which choice most effectively combines the sentences at the underlined portion?

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8

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9

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10

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11

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12

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Which choice results in the most effective transition from the preceding paragraph to the information that follows?

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14

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Which choice best concludes the passage and recalls an example given early in the passage?

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16

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19

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21

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At this point, the writer is considering adding the following sentence.

Cheap, convenient food drew customers to these trucks.

Should the writer make this addition here?

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24

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Which choice most effectively sets up the information that follows?

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The writer wants a conclusion that addresses the development of the food truck industry over time. Which choice best accomplishes this goal?

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31

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At this point, the author is considering adding the following sentence:

In the case of textiles, light from a camera’s flash causes harmful chemical reactions and deterioration when absorbed by the cloth’s fibers.

Should this sentence be inserted here?

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33

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35

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37

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38

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The writer is considering deleting the underlined portion (ending the sentence with a period). Should the writer make this deletion?

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40

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To make this paragraph most logical, sentence 4 should be placed

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The writer wants to give two examples that show the diversity in theories. Which of the following best achieves this goal?

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50 / 214

Which choice most effectively combines the sentences at the underlined portion?

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51

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53

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The writer is considering adding the following sentence.

In smaller settlements, the combination of more open space and fewer people could contribute to a continuation of usual burial practices, even in the event of an unrelenting pestilence.

Should the writer make this addition here?

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Which choice most effectively maintains the contrast in the sentence and introduces the information that follows?

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56

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Given that all the choices are true, which most effectively introduces the information that follows in the paragraph?

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60

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Which choice most effectively combines the sentences at the underlined portion?

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Which choice provides the best introduction to the paragraph?

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At this point, the writer is considering adding the following sentence.

More primitive humans needed to process and react to negative stimuli much more quickly than positive stimuli.

Should the writer make this addition here?

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Which choice most clearly ends the passage with a restatement of the writer’s primary claim?

60 QUESTIONS

60 MINUTES

 

Solve each problem, choose the correct answer, and then bubble in the letter corresponding to that answer choice.

Do not linger over problems that take too much time. Solve as many as you can: then return to the others in the time you have left for this test.

You are permitted to use a calculator on this test. You may use your calculator for any problems you choose, but some of the problems may best be done without using a calculator.

Note: Unless otherwise stated, all of the following should be assumed.

  1. Illustrative figures are NOT necessarily drawn to scale.
  2. Geometric figures lie in a plane.
  3. The word line indicates a straight line.
  4. The word average indicates arithmetic mean

77 / 214

A residential neighborhood is being built at a rate of 6 houses every 4 months. If the neighborhood continues to be built at this rate, how long will it take, in years, for the whole neighborhood to be completed if it contains 45 homes?

78 / 214

The yearly membership fee for an online retailer is $29.  Jacob orders gift packages that cost $12.50 each. For one year, Jacob's membership and gift package costs were $116.50.  How many gift packages did Jacob order that year?

79 / 214

A bike rental shop's rate is $24 a day. A customer wants to rent the bike for 4 days and made a down payment of $30.  How much more money does the customer owe?

80 / 214

Out of the 50 classes offered at a summer math program, 25 of them are Algebra classes, 15 are geometry classes, and the remainder are calculus classes.  If a class is randomly selected, what is the probability that it is a calculus class?

81 / 214

Let represent the base of a triangle.  If the height of a triangle is the same as the base, what is the area of the triangle?

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83 / 214

The ratio of the lengths of the corresponding sides of two similar triangles is 1:3.  If the area of the larger triangle is 36 square units, what is the area, in square units, of the smaller triangle?

84 / 214

In the xy-plane, the function of y= |x+5| intersects the line with equation y=3 at two points, R and S.  What is the length of line RS?

85 / 214

If c and d are two distinct solutions to the equation $4x^2 - 64 = 0$, what is the value of c+d?

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87 / 214

Dylan swam for 30 minutes and ran for 45 minutes. If swimming burns 460 calories per hour and running burns 640 per hour, how many calories did Dylan burn swimming and running?

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89 / 214

Vikram is trimming a photo to fit into a frame. The original photo is 8 inches by 10 inches.  If Vikram trimmed enough of the photo that it now has an area of 48 square inches, what are the possible dimensions for the trimmed photo?

90 / 214

Terrence is cutting large pieces of colored paper into smaller rectangles to make cards. If the colored paper is 16 inches by 23 inches, and he uses pieces that are 4 inches by 5 inches for cards, how many pieces of colored paper does he need to make 40 cards?

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In preparation for returning to school Amina is buying school supplies. She plans to buy 5 notebooks, 2 containers of pencils, and a calculator. The notebooks cost $1.60 each, the containers of pencils cost $3.20 each, the calculator costs $89, and an 8% sales tax is applied to the total. How much will Amina pay for her school supplies?

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In the coordinate plane shown, line k is perpendicular to line j. What is the value of a?

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A dance instructor wants to determine how many students, s, she wants to enroll in her class. For each student who enrolls in her class, she will earn $12.  She will spend $50 each week renting space to teach her class.  If she wants to earn at least $400 per week, which of the following gives the possible values for s?

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A ladder is propped against a wall, making an angle of 72° with the ground. If the ladder is 12 feet high, which of the following gives the distance in feet between the foot of the ladder and the wall?

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If f(x)=3x-7, what is f(-4x+1) equal to?

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Mr. Kress is creating a seating chart for five students to sit in a row.  How many different seating arrangements are possible?

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Arnold has taken 3 tests in Ms.K's math class so far this year. His current test average is 88%. What is the lowest grade he can get on his next test to have an overall test average of 90%?

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107 / 214

If the mean and median of a set of three numbers, x,y,z are equal and x  z, which of the following must be true?

108 / 214

The equation $h=-4.9t^2 +9t$ expresses the approximate height, h, in meters, of a toy rocket t seconds after it is launched vertically upward from the ground with an initial velocity of 9 meters per second.  Approximately how many seconds pass before the rocket hits the ground?

109 / 214

A triangle has side lengths of 14 inches and 8 inches. If the third side is an integer, what is the greatest possible length, in inches of the third side of the triangle?

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2x-4y<8 y≥ -x+4 A system of inequalities is shown above.  Which of the following ordered pairs could be a solution to this system of inequalities?

113 / 214

A local train and an express train travel in the same direction on parallel tracks. The local train departs at 8:00 AM, and the express train departs 4 hours later. They both arrive at the same destination at the 6:00PM. If the express train travels 20 miles per hour faster than the local train, how fast does the express train travel, in miles per hour?

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If r is a rational number, which of the following could be an irrational number?

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The product of two integers is between 230 and 247. Which of the following CANNOT be one of the integers?

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In circuits, Ohm's Law states that V=IR, where V is the voltage, I is the current, and R is the resistance.  According to Ohm's Law, if the voltage is quadrupled and the current is tripled, what value must be multiplied to the resistance?

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In 1 hour, 16.4 liters of water drained from a tank.  If the water continues to drain at this same rate, which of the following gives the expression for the number of milliliters of water that will drain from the tank in 2 minutes?

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A group of 20 students visits a gelato shop.  The shop has three flavors.   The group gets 31 tastes altogether.  If every student gets to taste at least one flavor, what is the greatest number of students who could have tasted all three flavors?

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Let events X,Y, and Z be mutually exclusive events.  If P(X)=0.2, P(Y)=0.5, and P(Z)=0.1, what is P(X or Y)?

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What is the area, in square units, of the triangle formed by the x-axis, the y-axis and the equation 5x+3y=30

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What is the value of the 100th term in the sequence shown: 7,13,19,25,...

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I. The hole in the bottom was partly obstructed

II. Someone began pouring water into the container.

III. Someone began drinking from the container.

130 / 214

A neighborhood is choosing a 3 person committee to represent them.  If there are 20 residents in then neighborhood, how many different committees can the neighborhood select?

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Tashon has been on a hiking trip for three days. If his first day of hiking can be described by a vector (4,5), his second day of hiking by the vector (2,7), and his third day with the vector (5,3), which of the following vectors describes his trajectory from the beginning of his hiking trip to the end of the third day?

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A meteorologist is comparing the rainfall in three areas.  During a rainstorm, Region X received 40% less rain than Region Y, and Region Z received 10% more rain than Region Y.  If Region X received 0.72 inches of rain during the rainstorm, how many inches of rain did Region Z receive?

40 QUESTIONS

35 MINUTES

 

There are several passages in this test. Each passage is accompanied by several questions. After reading a passage, choose the best answer to each question and bubble in the corresponding answer choice. You may refer to the passages as often as necessary.

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Which choice best describes what happens in the passage?

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Which choice best describes the developmental pattern of the passage?

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As it is used in line 13, the word "keen" can reasonably be said to mean all of the following EXCEPT:

139 / 214

In the passage, Morris views Catherine’s father as

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In lines 37-38, the narrator uses which of the following literary devices to describe Catherine’s hesitation to argue with her father?

141 / 214

As used in line 52, “just” most nearly means

142 / 214

The passage indicates that Catherine intends to resolve her current predicament by

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In the context of the passage, the primary function of lines 59-61 is to

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As revealed in the passage, Catherine is torn between

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Which of the following best sums up Penniman's attitude toward Catherine's predicament?

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It is reasonable to conclude that the author of the passage is

147 / 214

The passage makes clear that George and Johnson Meninock, David Sohappy, and Billy Frank, were all

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According to the passage, the "Fish Wars" were a series of

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What main effect does line 47 (“He… believed”) have on the message of the passage?

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Which of the following could be a possible title for the passage?

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It can most reasonably be inferred that

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In line 39, "vacate" most nearly means

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Which situation is most similar to the one described in paragraph two, lines 15-28 (“However…courts”)?

154 / 214

The author implies that protestors who choose to break laws

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The main purpose of the passage is to

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Gandhi addresses his audience on the topic of British colonial rule with

157 / 214

As used in line 7, "enjoined" most nearly means

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Which of the following does Gandhi NOT state in the passage?

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According to the passage, Gandhi promotes the idea of “nonviolence” because

160 / 214

The purpose of paragraph four (lines 51- 60) is to

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The image in line 79 ("they...abyss") functions figuratively to suggest that

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Gandhi states that he is “a greater friend of the British now than ever before” (lines 74-75) because he wants to

163 / 214

The passage highlights Gandhi's use of

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Which choice best describes the structure of the passage?

165 / 214

As used in line 25, "delicate" most nearly means

166 / 214

The author of Passage 1 indicates that coral bleaching happens when

167 / 214

According to Passage 1, the destruction of coral reefs is primarily caused by

168 / 214

The author of Passage 2 makes clear that positive changes occurring in some coral reefs are often

169 / 214

In line 78, the word "salient" most nearly means

170 / 214

On which of the following points would the authors of both passages most likely agree?

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Which of the following statements would the author of Passage 1 most likely agree with?

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Which statement about coral reef systems is best supported by Passage 2?

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How would the author of Passage 2 most likely respond to the claims made in Passage 1?

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Which statement most accurately compares the two passages?

Science Test

40 Questions - 35 Minutes

There are several passages in this test. Each passage is followed by several questions. After reading a passage, choose the best answer to each question and bubble in the corresponding answer choice. You may refer to the passages as often as necessary.

 

You are NOT permitted to use a calculator on this test.

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According to Scientist 1, who should benefit from GTA testing and results?

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Which of the following would be most consistent with the statements of both Scientist 1 and Scientist 2?

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  1. A survey of patients who received GTA revealed 74% of patients who tested positive for a condition relayed this information to family Which statement would account for this according to Scientist 2?

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Which of the following statements is most consistent with the sentiments of Scientist 2?

179 / 214

The idea that GTA results could lead to hasty life decisions that would be detrimental to a local population is an argument put forth by which of the following?

180 / 214

An example of GTA results: “A mother discovered her long-term sickness was due to a genetic condition and tells her three sons that they are all carriers of the condition. Each son then underwent dramatic life changes for the worse, abandoning careers and passions out of fear of developing symptoms though none of them ever did. ” This example would be best as an addition to which Scientist's argument?

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How does the argument of Scientist 1 relate to the argument of Scientist 2?

182 / 214

According to Table 1, what relationship exists between the pH of water and the corrosion rate of copper and aluminum at room temperature?

183 / 214

Suppose the scientists tested a third type of wire made of zinc, and observed that the initial weight of the sample was 7026 g. After submerging it in room temperature water with a pH of 8.2 for 10,080 seconds, it had a corrosion rate of 1.98 x 10-8 g/sec. Which of the following must be true?

184 / 214

What would a researcher calculate as the corrosion rate of lead, if he submerged the lead in water at a temperature of 50°C with a pH of 4.8 for a total of 1,000 seconds, if the weight of the lead decreased by a total of .003 grams throughout the period?

185 / 214

How does the corrosion rate of copper change as the temperature of the water in which it is submerged increases?

186 / 214

The highest corrosion rate recorded was found:

187 / 214

According to Study 1, what is the general trend for V•O2 across the 2 MW? Oxygen consumption:

188 / 214

According to Study 2, what would be the cadence at 3 minutes of a patient with moderate disability?

189 / 214

What measurement tool was used to collect data about V•O2 in Study 1 and Study 2?

190 / 214

If a patient had an oxygen consumption rate of 817 mL/min after walking for 4 minutes, her MS would be classified as:

191 / 214

Researchers hypothesized that as cadence increases, there would be a corresponding rise in the V•O2 Are the data presented in Study 1 consistent with this hypothesis?

192 / 214

Studies show that an increase in V•O2 rate indicates aerobic aspects of walking, while stabilization of V•O2 indicates endurance aspects of walking. Based on the information presented in both Study 1 and Study 2, which of the following conclusions is valid?

193 / 214

According to Table 1, Vegeto-vascular dystonia accounted for the highest percent of abnormalities on average across all five Which abnormality accounted for the next highest percent?

194 / 214

Based on Figure 1, which group demonstrated the greatest improvement after the completion of the program?

195 / 214

According to Figure 1, which of the following statements best describes the predicted outcome for a group of girls with non-CVS abnormalities who will complete the program next year? Students that complete the program should expect to demonstrate:

196 / 214

According to Table 1, how many students would show characteristics of cardiopathy in a group of 500 students with CVS abnormalities in 2012- 13?

197 / 214

Based on Figure 1, what was the approximate difference before and after the experimental intervention in kilometers walked for males with CVS abnormalities?

198 / 214

Which of the following statements best represents the correlation between the data presented in Table 1?

199 / 214

According to Figure 1, the percentage of calcium carbonate in Core 1 at a depth of 5cm, was closest to which of the following?

200 / 214

Which conclusion can be drawn about the relationship between sediment composition and percentage of calcium carbonate?

201 / 214

Studies found less heavy metals in Core 1 than Core 3. Based on Figure 2, which is the best explanation for this finding?

202 / 214

Based on the study presented, which core appears to be closest to the industrial discharge site?

203 / 214

Man made arsenic is a common by-product of smelting metal foundrys. According to Figure 1 and Figure 2, there is most likely a metal foundry at which location?

204 / 214

What is the C(MAS) of Ashram?

205 / 214

Arsenic is a naturally occuring element in the earth’s crust that is often released in large amounts by volcanic activity. One scientist claims there was a volcanic eruption near the Road No. 56 sampling location. Based on Figure 2, is this scientist’s conclusion valid?

206 / 214

Rain is one factor that can affect the arsenic concentration levels by cleansing the air and ground of arsenic. According to Figure 2, there was most likely a heavy wet season during which year?

207 / 214

Arsenic is deadly in large amounts, but if the arsenic concentration is below 200 g/m3 the effects are non-symptomatic and there are no detrimental health benefits recorded. If this holds true, which sampling location would be considered the safest?

208 / 214

The study conducted took place in 2014, while the ten year study the scientists analyzed was from 2002 to 2012. Based on Figure 1 and Figure 2, which sampling location underwent the greatest change in arsenic concentration between the two experiments?

209 / 214

When the intercellular CO2 partial pressure measures 1,000 mol-1, what will be the approximate CO2 assimilation rate?

210 / 214

According to Experiment 3, what is the the Vmax value at 20°?

211 / 214

As the temperature decreases, what happens to the Vmax value?

212 / 214

The photosynthesis rate in plants is highest when the rate of dark respiration is the highest. What is the CO2 assimilation rate when the photosynthesis rate is highest?

213 / 214

According to Experiment 1, what is the intercellular CO2 partial pressure when the temperature is equal to 25° C and the assimilation rate is 10 cm/s?

214 / 214

Scientists hypothesize that the decrease in the CO2 assimilation rate associated with higher temperatures is in part a response to a greater increase in the rate of carboxylation and the rate of dark respiration at higher Does the data from Experiments 1, 2, and 3 support this hypothesis?

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