Simulador en línea del examen PSAT/NMSQT: Practica con el Test 2

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Simulador en línea del examen PSAT/NMSQT: Practica con el Test 2

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Simulador en línea del examen PSAT/NMSQT: Practica con el Test 2

PSAT/NMSQT Practice Test 2

Reading and Writing Module 1:

33 questions

The questions in this section address a number of important reading and writing skills. Each question includes one or more passages, which may include a table or graph. Read each passage and question carefully, and then choose the best answer to the question based on the passage(s). All questions in this section are multiple-choice with four answer choices. Each question has a single best answer.

Question 1:

Novelist Leon Forrest admired William Faulkner’s writing style. Forrest’s novel Divine Days contains a long passage in tribute to Faulkner that is a perfect _______ of Faulkner’s style: anyone familiar with Faulkner’s writing would see the resemblance.

Which choice completes the text with the most logical and precise word or phrase?
A) forgetting
B) rejection
C) imitation
D) opinion

Reading and Writing Test Module 2:

33 questions

The questions in this section address a number of important reading and writing skills. Each question includes one or more passages, which may include a table or graph. Read each passage and question carefully, and then choose the best answer to the question based on the passage(s). All questions in this section are multiple-choice with four answer choices. Each question has a single best answer.

Question 1:

A unique dialect, or regional variety, of Spanish is spoken in Puerto Rico. It contains many words borrowed from the language of the Taínos, the Indigenous people of Puerto Rico. African languages also made important contributions to the Puerto Rican dialect. For example, the way certain vowel sounds are pronounced in it can be _______ to how they are pronounced in Yoruba, a West African language.

Which choice completes the text with the most logical and precise word or phrase?
A) traced
B) surrendered
C) announced
D) offered

Math Test Module 1

27 questions

The questions in this section address a number of important math skills. Use of a calculator is permitted for all questions.

NOTES: Unless otherwise indicated:
  • All variables and expressions represent real numbers.
  • Figures provided are drawn to scale.
  • All figures lie in a plane.
  • The domain of a given function fis the set of all real numbers x for which f(x) is a real number.
Question 1:

| x + 45 | = 48

What is the positive solution to the given equation?|
A) 3
B) 48
C) 93
D) 96
Question 2:

x = 4
y = 5 - x

The solution to the given system of equations is (x, y). What is the value of y ?
A) 1
B) 4
C) 5
D) 9
Question 3:

A mixture consisting of only vitamin D and calcium has a total mass of 150 grams. The mass of vitamin D in the mixture is 50 grams. What is the mass, in grams, of calcium in the mixture?
A) 200
B) 150
C) 100
D) 50
Question 4:

A contract for a certain service requires a onetime activation cost of $35 and a monthly cost of $23.

Which equation represents this situation, where c is the total cost, in dollars, of this service contract for t months?
A) \(c = \frac{t}{23} + 35 \)
B) \(c = \frac{t}{35} + 23 \)
C) c = 23t + 35
D) c = 35t + 23
Question 5:

The function f is defined by f(x) = 3x − 8. What is the value of f(7) ?
A) 29
B) 13
C) -5
D) -29
Question 6:


The y-intercept of the graph shown is (x, y). What is the value of y ?
A) 35
B) 40
C) 45
D) 50
Question 7:

8x − 7x + 130 = 260

What value of x is the solution to the given equation?
A) -130
B) -140
C) 130
D) 140
Question 8:

A geologist needs to collect at least 67 samples of lava from a volcano. If the geologist has already collected 63 samples from the volcano, what is the minimum number of additional samples the geologist needs to collect?
A) 130
B) 63
C) 4
D) 0
Question 9

Each of 157 gemstones can be classified as one of three classifications, as shown in the frequency table.
Classification Frequency
color X 119
color Y 3
color Z 35
If one of the gemstones is selected at random, what is the probability of selecting a gemstone of color Y?
A) \(\frac{3}{157} \)
B) \(\frac{35}{157} \)
C) \(\frac{119}{157} \)
D) \(\frac{154}{157} \)
Question 10


The shaded region shown represents the solutions to which inequality?
A) \(y \geq \frac{2}{3}x - 6\)
B) \(y \geq \frac{2}{3}x + 6\)
C) \(y \geq \frac{2}{3}x - 9\)
D) \(y \geq \frac{2}{3}x + 9\)
Question 11:

In triangle ABC, AB = 4,680 millimeters (mm) and BC = 4,680 mm.

Which statement is sufficient to prove that triangle ABC is equilateral?
A) AC = 4,680 mm
B) AC = 4,68 mm
C) AC = 46.8 mm
D) AC = 4.68 mm
Question 12

P(t) = 24.8(1.036)t The function P gives the predicted population, in millions, of a certain country for the period from 1984 to 2018, where t is the number of years after 1984.

According to the model, what is the best interpretation of the statement “P(8 ) is approximately equal to 32.91”?
A) In 1984, the predicted population of this country was approximately 8 million.
B) In 1984, the predicted population of this country was approximately 32.91 million.
C) 8 years after 1984, the predicted population of this country was approximately 32.91 million.
D) 32.91 years after 1984, the predicted population of this country was approximately 8 million.
Question 13:

A right circular cylinder has a volume of 377 cubic centimeters. The area of the base of the cylinder is 13 square centimeters. What is the height, in centimeters, of the cylinder?
A) 79
B) 19
C) 39
D) 29
Question 14:

The list gives the mass, in grams, of 5 alpine marmots.

4,010; 4,010; 3,030; 4,050; 3,050

What is the mean mass, in grams, of these 5 alpine marmots?
A) 3,600
B) 3,630
C) 2,630
D) 3,360
Question 15:
x = 3
y = (15 - x)2

A solution to the given system of equations is ( x, y). What is the value of xy ?
A) 432
B) 54
C) 45
D) 18
Question 16:

What is the value of cos A in the triangle shown?
A) \(\frac{42}{41}\)
B) \(\frac{41}{42}\)
C) \(\frac{1}{42}\)
D) \(\frac{1}{41}\)
Question 17:

A circle has a radius of 43 meters. What is the area, in square meters, of the circle?
A) \(\frac{43\pi}{2}\)
B) 43 π
C) 86 π
D) 1,849 π
Question 18:

An object has a mass of 168 grams and a volume of 24 cubic centimeters. What is the density, in grams per cubic centimeter, of the object?
A) 7
B) 144
C) 192
D) 4,032
Question 19

A company has a newsletter. In January 2018, there were 1,300 customers subscribed to the newsletter. For the next 24 months after January 2018, the total number of customers subscribed to the newsletter each month was 7% greater than the total number subscribed the previous month.

Which equation gives the total number of customers, c, subscribed to the company’s newsletter m months after January 2018, where m ≤2 4 ?
A) c = 1,300(0.07)m
B) c = 1,300(1.07)m
C) c = 1,300(1.7)m
D) c = 1,300(7)m
Question 20:


The scatterplot shows the relationship between two variables, x and y. A line of best fit is also shown. For how many of the 11 data points does the line of best fit predict a greater y-value than the actual y-value?
A) 6
B) 7
C) 8
D) 9
Question 21:


In the figure, RT = TU, the measure of angle VST is 29°, and the measure of angle RVS is 41°. What is the value of x ?
A) 155
B) 165
C) 156
D) 136
Question 22:

−12x + 14y = 36
-6x + 7y = -18

How many solutions does the given system of equations have?
A) Exactly one
B) Exactly two
C) Infinitely many
D) Zero
Question 23:

The expression 0.35 x represents the result of decreasing a positive quantity x by what percent?
A) 3.5%
B) 35%
C) 6.5%
D) 65%
Question 24:

Objects R and S each travel at a constant speed. The speed of object R is half the speed of object S. Object R travels a distance of 4 x inches in y seconds. Which expression represents the time, in seconds, it takes object S to travel a distance of 24 x inches?
A) 12y
B) 3y
C) 16y
D) 6y
Question 25:



The graph shows a linear relationship between x and y. Which equation represents this relationship, where R is a positive constant?
A) Rx + 18y = 36
B) Rx - 18y = -36
C) 18x + Ry = 36
D) 18x - Ry = -36
Question 26:

A sample of a certain alloy has a total mass of 50.0 grams and is 50.0% silicon by mass. The sample was created by combining two pieces of different alloys. The first piece was 30.0% silicon by mass and the second piece was 80.0% silicon by mass. What was the mass, in grams, of the silicon in the second piece?
A) 9.0
B) 16.0
C) 20.0
D) 30.0
Question 27:

The product of two positive integers is 462. If the first integer is 5 greater than twice the second integer, what is the smaller of the two integers?
A) 24
B) 14
C) 26
D) 16

Math Test Module 2

27 questions

The questions in this section address a number of important math skills.

Use of a calculator is permitted for all questions.

NOTES: Unless otherwise indicated:

  • All variables and expressions represent real numbers.
  • Figures provided are drawn to scale.
  • All figures lie in a plane.
  • The domain of a given function f is the set of all real numbers x for which f(x) is a real number.
Question 1

The bar graph shows the distribution of the number of walnuts per container for 20 containers at a grocery store.

How many of these containers of walnuts contain exactly 78 walnuts?
A) 2
B) 7
C) 20
D) 78
Question 2:

The line graph shows the probability of snow, as a percent, at a certain location for each day during a four-day period. According to the line graph, for which day during this four-day period is the probability of snow 30%?
A) Tuesday
B) Wednesday
C) Thursday
D) Friday
Question 3:

The graph of a system of a linear equation and a nonlinear equation is shown. What is the solution (x, y) to this system?
A) (6, 0)
B) (-2, 6)
C) (0, -2)
D) (0, 0)
Question 4:

In the figure, two lines intersect at a point. If w = 136, what is the value of z ?
A) 36
B) 44
C) 68
D) 136
Question 5:

Which expression is equivalent to 19(x2 - 7) ?
A) 19x2 - 133
B) 19x2 - 26
C) 19x2 - 7
D) 19x2 + 12
Question 6:

The parabola shown intersects the y-axis at the point (x, y). What is the value of y ?
A) 5
B) 6
C) 7
D) 8
Question 7:

If 2x + 3 = 9, what is the value of 6x − 1?
A) 17
B) 15
C) 14
D) 13
Question 8:

The scatterplot shows the relationship between two variables, x and y.

Which equation is the most appropriate linear model for this relationship?
A) y = -0.9x - 2.2
B) y = -0.9x + 2.2
C) y = -0.9x
D) y = -0.9x + 2.2
Question 9:
\(d = 16 - \frac{x}{30}\)
The equation shown gives the estimated amount of diesel d, in gallons, that remains in the gas tank of a truck after being driven x miles, where 0 ≤ x ≤ 480.
What is the estimated amount of diesel, in gallons, that remains in the gas tank of the truck when x = 300?
A) 0
B) 6
C) 14
D) 16
Question 10:
g(x) = 11x + 4
For the given linear function g, which table shows three values of x and their corresponding values of g(x) ?
A)
x g(x)
-1 7
0 11
1 15

B)
x g(x)
-1 -4
0 0
1 4

C)
x g(x)
-1 -7
0 4
1 15

D)
x g(x)
-1 -11
0 0
1 11

Question 11:

The pressure exerted on a scuba diver at sea level is 14.70 pounds per square inch (psi). For each foot the scuba diver descends below sea level, the pressure exerted on the scuba diver increases by 0.44 psi.

What is the total pressure, in psi, exerted on the scuba diver at 105 feet below sea level?
A) 60.90
B) 31.50
C) 14.70
D) 0.44
Question 12:

The function f is defined by f(x) = 4x-1. What is the value of f(21) ?
A) -84
B) \(\frac{1}{84}\)
C) \(\frac{4}{21}\)
D) \(\frac{21}{4}\)
Question 13:

The area of a rectangle is 57 square inches. The length of the longest side of the rectangle is 19 inches.

What is the length, in inches, of the shortest side of this rectangle?
A) 5
B) 2
C) 4
D) 3
Question 14:

How many yards are equivalent to 77 rods? (5.5 yards = 1 rod)
A) 423 5
B) 433 5
C) 443 5
D) 453 5
Question 15:

x2 - 12x + 27 = 0
How many distinct real solutions does the given equation have?
A) Exactly two
B) Exactly one
C) Zero
D) Infinitely many
Question 16:

For the linear function g, the graph of y = g(x) in the xy-plane has a slope of 2 and passes through the point (1, 14). Which equation defines g ?
A) g(x) = 2x
B) g(x) = 2x + 2
C) g(x) = 2x + 12
D) g(x) = 2x + 14
Question 17:

The graph gives the estimated population y, in thousands, of a town x years since 2003, where 0 ≤ x ≤5. Which of the following best describes the increase in the estimated population from x = 0 to x = 1 ?
A) The estimated population at x = 1 is 0.5 times the estimated population at x = 0.
B) The estimated population at x = 1 is 1.5 times the estimated population at x = 0
C) The estimated population at x = 1 is 2.5 times the estimated population at x = 0.
D) The estimated population at x = 1 is 3.5 times the estimated population at x = 0.
Question 18:

In March, the price of a collectible card was $15.50.
In April, the price of the collectible card was $17.36. The price of the collectible card in April was p% of the price of the collectible card in March. What is the value of p ?
A) 12
B) 88
C) 112
D) 188
Question 19:

x = 8a(b + 9)
The given equation relates the positive numbers a, b, and x. Which equation correctly expresses a in terms of b and x ?
A) \(a = \frac{x}{8} - (b + 9)\)
B) \(a = \frac{x}{8(b + 9)}\)
C) \(a = \frac{8(b + 9)}{x}\)
D) a = 8x(b + 9)
Question 20:

Line j is shown in the xy-plane. Line k (not shown) is parallel to line j. What is the slope of line k ?
A) 5
B) 4
C) 9
D) 3
Question 21:

A line segment that has a length of 115 centimeters (cm) is divided into three parts. One part is 47 cm long. The other two parts have lengths that are equal to each other. What is the length, in cm, of one of the other two parts of equal length?
A) 12
B) 13
C) 23
D) 34
Question 22:

p(x) + 57 = x2

The given equation relates the value of x and its corresponding value of p(x) for the function p. What is the minimum value of the function p ?
A) -3,249
B) -57
C) 57
D) 3,249
Question 23:
x y
-18 -48
7 52

The table shows two values of x and their corresponding values of y. In the xy-plane, the graph of the linear equation representing this relationship passes through the point \(\left( \frac{1}{7}, a \right)\). What is the value of a ?
A) \(-\frac{4}{11}\)
B) \(-\frac{4}{77}\)
C) \(\frac{4}{1}\)
D) \(\frac{172}{7}\)
Question 24:

y = 576(2x+2)

The graph of the given equation in the xy-plane has a y-intercept of (r, s). Which of the following equivalent equations displays the value of s as a constant, a coefficient, or the base?
A) y = 331,776(x+1)
B) y = 24(4x+4)
C) \(y = \frac{1}{24}(24)^{(4x+5)}\)
D) \(y = \frac{1}{576}(576)^{(2x+3)}\)
Question 25:

If k − x is a factor of the expression \(-x^2 + \frac{1}{29} nk^2\), where n and k are constants and k > 0, what is the value of n ?
A) -29
B) \(-\frac{1}{29}\)
C) \(\frac{1}{29}\)
D) 29
Question 26:

In the figure, \(\overline{LQ}\) intersects \(\overline{MP}\) at point R, and \(\overline{LM}\) is parallel to \(\overline{PQ}\). The lengths of \(\overline{MR}\), \(\overline{LR}\), and \(\overline{RP}\) are 6, 7, and 11, respectively. What is the length of \(\overline{LQ}\)?
A) \(\frac{119}{11}\)
B) \(\frac{77}{6}\)
C) \(\frac{113}{6}\)
D) \(\frac{119}{6}\)
Question 27:

5(x + 7) = 15(x - 17)(x + 7)
What is the sum of the solutions to the given equation?
A) \(\frac{14}{3}\)
B)\(\frac{41}{3}\)
C) \(\frac{31}{3}\)
D) \(\frac{13}{3}\)

Hoja de respuestas del PSAT/NMSQT Practice Test 2

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MÓDULE 1 RESPUESTA MÓDULE 2 RESPUESTA
1 C 1 A
2 A 2 B
3 B 3 D
4 A 4 C
5 B 5 A
6 A 6 B
7 C 7 B
8 C 8 C
9 D 9 B
10 D 10 B
11 B 11 B
12 C 12 A
13 A 13 D
14 B 14 A
15 B 15 C
16 C 16 D
17 B 17 B
18 A 18 D
19 B 19 D
20 B 20 C
21 D 21 D
22 C 22 A
23 C 23 C
24 B 24 A
25 D 25 A
26 A 26 A
27 B 27 C
38 D 28 B
29 B 29 B
30 C 30 A
31 A 31 C
32 C 32 B
33 B 33 B

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MÓDULE 1 RESPUESTA MÓDULE 2 RESPUESTA
1 C 1 C
2 D 2 D
3 C 3 B
4 A 4 A
5 D 5 C
6 A 6 D
7 C 7 C
8 B 8 B
9 A 9 D
10 A 10 A
11 C 11 C
12 C 12 D
13 D 13 C
14 A 14 D
15 A 15 A
16 A 16 A
17 B 17 B
18 A 18 C
19 B 19 B
20 D 20 B
21 C 21 A
22 C 22 C
23 B 23 B
24 B 24 B
25 D 25 B
26 D 26 B
27 A 27 D

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