# Free PLAN Practice Test

## English

*
After reading the following selection, answer questions 1- 5 by indicating which change should be made to the numbered passages:*

The Wampanoag Indians of the Northeast were typical of the tribes of the time. They (1)

speaka language that is a part of the Algonquin language family. At that time, the Wampanoag people lived (2)in what is Massachusetts. (3)Today, the descendantsof these Indians speak English and live in southern Massachusetts and Rhode Island.The Wampanoag religion was similar to that of the other Algonquin tribes. In those bygone times, the people believed in a Great Spirit (4)

and alsothat all things in Nature had a part of the Great Spirit in them. They also had spiritual beliefs (5)about animals, and theforest. They expressed their religious beliefs during festivals and at night, when they sat together at huge campfires. Then, they told (6)their stories of the cycle of life (7)and theGreat Spirit. Now, (8)some Indians that are a part of the Wampanoagsstill worship in the traditional (9)way but manyhave adopted western religions.The Wampanoag diet consisted mostly of fish and other (10)

animals, theyalso ate (11)corn, and beans, and squash. The Wampanoag hunters ranged far and wide, from land to (12)thesea. They trapped small animals and caught shellfish, including crabs and lobsters. (13)Besides animals, they grew fruits and vegetables. To survive the winter, they were able to preserve a lot of this food (14)and eat it.The Wampanoag lived in houses (15)

called a. Awetuwetuis a round building with a round roof. The men of the tribe were responsible for constructing thewetu. They made thedwelling by tying sticks and branches together, and then putting grass and tree bark on top to make the roof. The Wampanoag also built long houses, which were much larger and were used for tribal meetings.

**1.**

A. NO CHANGE

B. spoke

C. understand

D. speaks

**2.**

F. NO CHANGE

G. in what is now Massachusetts

H. in

J. in Massachusetts now

**3.**

A. NO CHANGE

B. Recent descendants

C. Today the descendants

D. Current descendants

**4.**

F. and, also

G. and

H. also

J. NO CHANGE

**5.**

A. NO CHANGE

B. about animals, and about the

C. about animals and the

D. and the

## Math

**
1. Dorothy is half her sister's age. She will be three fourths of her sister's age in 20 years. How old is Dorothy?**

A. 10

B. 15

C. 20

D. 25

E. 30

**
2. If x and y are positive integers, which of the following expressions is equivalent to (xy)^{7y} - (xy)^{y}?**

F. (*xy*)^{6y}

G. (*xy*)^{7y-1}

H. (*xy*)^{y}[(*xy*)^{7}) - 1]

J. (*xy*)^{y}[(*xy*)^{6y}) - 1]

K. (*xy*)^{7y}

**
3. Based on the following diagram:**

**A tire on a car rotates at 500 RPM (revolutions per minute) when the car is traveling at 50 km/hr (kilometers per hour). What is the circumference of the tire, in meters?**

**
4. A function f(x) is defined by f(x) = 2x^{2} + 7. What is the value of 2f(x) - 3?**

F. 4*x ^{2}* + 11

G. 4

*x*+ 11

^{4}H.

*x*+ 11

^{2}J. 4

*x*+ 14

^{2}K. 2

*x*+ 14

^{2}**
5. The triangle shown in the figure has angles A, B, and C, and sides a, b, and c. If a = 14 cm and b = 12 cm, and if angle ∠B = 35 degrees, what is angle ∠A**

F. 35 degrees

G. 42 degrees

H. 64 degrees

J. 18 degrees

K. 28 degrees

## Reading

*
Questions 1 - 4 pertain to the following passage:
*

GarthThe next morning she realized that she had slept. This surprised her - so long had sleep been denied her! She opened her eyes and saw the sun at the window. And then, beside it in the window, the deformed visage of Garth. Quickly, she shut her eyes again, feigning sleep. But he was not fooled. Presently she heard his voice, soft and kind: "Don't be afraid. I'm your friend. I came to watch you sleep, is all. There now, I am behind the wall. You can open your eyes."

The voice seemed pained and plaintive. The Hungarian opened her eyes, saw the window empty. Steeling herself, she arose, went to it, and looked out. She saw the man below, cowering by the wall, looking grief-stricken and resigned. Making an effort to overcome her revulsion, she spoke to him as kindly as she could.

"Come," she said, but Garth, seeing her lips move, thought she was sending him away. He rose and began to lumber off, his eyes lowered and filled with despair.

"Come!" she cried again, but he continued to move off. Then, she swept from the cell, ran to him and took his arm. Feeling her touch, Garth trembled uncontrollably. Feeling that she drew him toward her, he lifted his supplicating eye and his whole face lit up with joy.

She drew him into the garden, where she sat upon a wall, and for a while they sat and contemplated one another. The more the Hungarian looked at Garth, the more deformities she discovered. The twisted spine, the lone eye, the huge torso over the tiny legs. She couldn't comprehend how a creature so awkwardly constructed could exist. And yet, from the air of sadness and gentleness that pervaded his figure, she began to reconcile herself to it.

"Did you call me back?" asked he.

"Yes," she replied, nodding. He recognized the gesture.

"Ah," he exclaimed. "Do you know that I am deaf?"

"Poor fellow," exclaimed the Hungarian, with an expression of pity.

"You'd think nothing more could be wrong with me," Garth put in, somewhat bitterly. But he was happier than he could remember having been.

**
1. Why was the girl surprised that she had slept?**

A. It was afternoon

B. She seldom slept

C. It had been a long time since she had had the chance to sleep

D. She hadn't intended to go to sleep

**
2. Why did she shut her eyes again when she saw Garth in the window?**

F. She wanted to sleep some more

G. The sun was so bright that it hurt her eyes

H. She didn't want to look at Garth

J. She wanted Garth to think she was still sleeping

**
3. What two characteristics are contrasted in Garth?**

A. Ugliness and gentleness

B. Fear and merriment

C. Distress and madness

D. Happiness and sadness

**
4. During this passage, how do the girl's emotions toward Garth change?**

F. They go from fear to loathing

G. They go from anger to fear

H. They go from hatred to disdain

J. They go from revulsion to pity

## Science

*
Questions 1 - 5 pertain to the following passage:
*

In a study performed to determine the migration patterns of fish, 34,000 juvenile sablefish of the species

Anoplopoma fimbriawere tagged and released into waters of the eastern Gulf of Alaska during a twenty-year period. The tagged fish were all juveniles (less than 2 years of age), so that the age of the recovered fish could be determined from the date on the tag. This allowed age-specific movement patterns to be studied. Tagged fish were recovered from sites in the Bering Sea, throughout the Gulf of Alaska, and off the coast of British Columbia. The fish were recovered by commercial fishermen, with the results reported to the scientists performing the study. A total of 2011 tagged fish were recovered. It was found that fish spawned in coastal waters move to deeper waters when they are older. At the same time, they migrate north and west, across the Gulf of Alaska toward the Aleutian Islands. Eventually, they return to the eastern Gulf as adults.The figure shows tag recoveries from sablefish tagged as juveniles by age (in years) and by depth (in meters) for all the areas in the study. The size of each circle is proportional to the number of recoveries. The range for each data point is 1 to 57 recoveries. The symbol x represents the median age.

**
1. If a circle in the graph is twice the size (area) of another circle, this indicates that:**

A. It represents twice as many fish

B. The fish it represents were twice as old

C. The fish it represents were recovered at twice the depth

D. Both A and B

**
2. The greatest number of tagged fish were recovered at depths of**

F. 101 - 200 m.

G. 201 - 300 m.

H. 301 - 500 m.

J. 501 - 700 m.

**
3. What percentage of the released, tagged fish were recovered for this study?**

A. 2011

B. 20

C. 6

D. 17

**
4. The median age of tagged fish recovered at depths between 301 and 500 meters is approximately:**

F. 2 years

G. 5 years

H. 9 years

J. < 2 years

**
5. Not all the tagged fish were recovered in this study. Which of the following reasons may be responsible for the losses?**

A. Some fish died during the study

B. Some tagged fish were not caught by commercial fishermen during the study

C. The tags fell off some of the fish during the study

D. All of the above

## Answers & Explanations

**English**

**
1. B:** The rest of the paragraph is written in the past tense. The other choices are all present tense.

**
2. G:** The author wishes to emphasize that the area where the Wampanoag lived was not called Massachusetts at that time. The other choices do not do that.

**
3. A:** This is an example of an introductory word coming before the main clause and set off by a comma, for emphasis. Answers B and D differ in meaning from the original text.

**
4. G:** The expression joins an independent clause to a dependent one, so a comma is not required. Answers F and H are redundant, since "and" and "also" have similar meaning.

**
5. C:** No verb follows "animals" which, like "forest" is an indirect object, so no comma is needed. Answer B is needlessly wordy.

**Math**

**
1. A:** Let *D* represent Dorothy's age, and S her sister's. Since she is half her sister's age today, we have , or *S* = 2D. In twenty years, her age will be *D* + 20 years, and her sister's age will be *S* + 20 years. At that time, Dorothy will be ¾ of her sister's age; therefore, . Substituting 2*D* for S in this equation gives
Use Distributive property and reduce.
Gathering like terms:
which is equivalent to .
Therefore, *D* = 10 years old. Dorothy is ten years old today, and her sister is twenty years old. In twenty years, Dorothy will be 30 years old, and her sister will be 40.

**
2. J:** Remember that when you multiply like bases, you add the exponents, and when you divide like bases, you subtract the exponents.

**
3. E:** It is not necessary to use the circle formula to solve the problem. Rather, note that 50 km/hr corresponds to 50,000 meters per hour. We are given the car's revolutions per minute and the answer must be represented as meters; therefore, the speed must be converted to meters per minute. This corresponds to a speed of meters per minute, as there are 60 minutes in an hour. In any given minute the car travels ( meters/min), the tires rotate 500 times around, hence 500 times its circumference. This corresponds to meters per revolution, which is the circumference of the tire.

**
4. F:** Evaluate as follows: .

**
5. G:** This answer may be determined using the Law of Sines, which relates the sides of a triangle and their opposing angles as follows:
Thus we have , and degrees.
Since this value is unique, all other answers are incorrect.

**Reading**

**
1. C:** In the second sentence the phrase "so long had sleep been denied her" tells us she had been prevented from sleeping for some time.

**
2. J:** The text tells us she was feigning, which means to pretend, to be asleep.

**
3. A:** Despite his ugliness and deformity, Garth is a gentle soul who wants to be accepted as a friend by the girl.

**
4. J:** At first repelled by the sight of Garth in the window, the girl eventually expresses pity when she learns that he is deaf, too.

**Science**

**
1. A:** As stated in the text, the size of each circle is proportional to the number of recoveries.

**
2. J:** The graph shows that the largest number of circles, and the largest circles as well, are at this depth. Since the size of the circles is proportional to the number of fish recovered, the greatest numbers of these fish were at these depths.

**
3. C:** 2011 fish were recovered out of 34,000 released. The percentage is given by .

**
4. G:** The median age at each depth is shown by the X symbols on the plot. For this depth, the symbol lines up approximately with the mark corresponding to 5 years on the upper axis of the graph.

**
5. D:** Although not specifically described in the text, all of the reasons stated may occur, reducing the recovery of tagged fish. The conclusions of the study must assume that the fraction of fish recovered (sample) are representative of the population as a whole.

by Enoch Morrison

Last Updated: 01/03/2018