Free Printable PSAT Practice Test ALL (calculator)

1.

Tyra subscribes to an online gaming service that charges a monthly fee of $5.00 and $0.25 per hour for time spent playing premium games. Which of the following functions gives Tyra’s cost, in dollars, for a month in which she spends x hours playing premium games?

a)

C(x) = 5.25x

b)

C(x) = 5x + 0.25

c)

C(x) = 5 + 0.25x

d)

C(x) = 5 + 25x

2.

The line graph shows the monthly rainfall from March to October last year in Chestnut City. According to the graph, what was the greatest change (in absolute value) in the monthly rainfall between two consecutive months?

a)

1.5 inches

b)

2.0 inches

c)

2.5 inches

d)

3.5 inches

3.

A rectangle has perimeter P, length l, and width w. Which of the following represents l in terms of P and w?

a)

$l=P-w$

b)

$l=\frac{2P-w}{2}$

c)

$l=\frac{P-2w}{2}$

d)

$l=2P-2w$

4.

Which ordered pair (x,y) satisfies the system of equations shown below?
$2x-y=6$

x+2y=-2

a)

(-6,2)

b)

(-2,2)

c)

(2,-2)

d)

(4,2)

5.

A soda company is filling bottles of soda from a tank that contains 500 gallons of soda. At most, how many 20-ounce bottles can be filled from the tank? (1 gallon = 128 ounces)

a)

25

b)

78

c)

2,560

d)

3,200

6.

A car traveled at an average speed of 80 miles per hour for 3 hours and consumed fuel at a rate of 34 miles per gallon. Approximately how many gallons of fuel did the car use for the entire 3-hour trip?

a)

2

b)

3

c)

6

d)

7

7.

The scatterplot shows the widths and the heights of 12 types of rectangular envelopes. What is the width, in inches, of the envelope represented by the data point that is farthest from the line of best fit (not shown) ?

a)

2

b)

5

c)

7

d)

12

8.

A high school basketball team won exactly 65 percent of the games it played during last season. Which of the following could be the total number of games the team played last season?

a)

22

b)

20

c)

18

d)

14

9.

$110x+y=1,210$
A coffee shop is running a promotion where a number of free coffee samples are given away each day. The equation above can be used to model the number of free coffee samples, y, that remain to be given away x days after the promotion began. What does it mean that (11, 0) is a solution to this equation?

a)

During the promotion, 11 samples are given away each day.

b)

It takes 11 days during the promotion to see 1,210 customers.

c)

It takes 11 days during the promotion until none of the samples are remaining.

d)

There are 11 samples available at the start of the promotion.

10.

Which scatterplot shows a negative association that is not linear? (Note: A negative association between two variables is one in which higher values of one variable correspond to lower values of the other variable and vice versa.)

a)

b)

c)

d)

11.

The histogram above shows the distribution of the heights, in meters, of 26 pyramids in Egypt. Which of the following could be the median height of the 26 pyramids represented in the histogram?

a)

44 meters

b)

48 meters

c)

63 meters

d)

77 meters

12.

A survey of 170 randomly selected teenagers aged 14 through 17 in the United States was conducted to gather data on summer employment of teenagers. The data are shown in the table.

Which of the following is closest to the percent of those surveyed who had a summer job?

a)

22%

b)

35%

c)

47%

d)

53%

13.

A survey of 170 randomly selected teenagers aged 14 through 17 in the United States was conducted to gather data on summer employment of teenagers. The data are shown in the table.

In 2012 the total population of individuals in the United States who were between 14 and 17 years old (inclusive) was about 17 million. If the survey results are used to estimate information about summer employment of teenagers across the country, which of the following is the best estimate of the total number of individuals between 16 and 17 years old in the United States who had a summer job in 2012 ?

a)

8,200,000

b)

3,900,000

c)

2,000,000

d)

390,000

14.

A survey of 170 randomly selected teenagers aged 14 through 17 in the United States was conducted to gather data on summer employment of teenagers. The data are shown in the table.

Based on the data, how many times more likely is it for a 14-year-old or a 15-year-old to NOT have a summer job than it is for a 16-year-old or a 17-year-old to NOT have a summer job? (Round the answer to the nearest hundredth.)

a)

0.52 times as likely

b)

0.65 times as likely

c)

1.50 times as likely

d)

1.64 times as likely

15.

The graph shows the amount of protein supplied by five different food products, A, B, C, D, and E, as a percentage of their total weights. The costs of 10 grams of products A, B, C, D, and E are $2.00, $2.20, $2.50, $4.00, and $5.00, respectively. Which of the five food products supplies the most protein per dollar?

a)

A

b)

B

c)

C

d)

E

16.

In quadrilateral ABCD above, $\overline{BC}$ is parallel to $\overline{AD}$ , and AB = CD. If BC and AD were each doubled and BE was reduced by 50 percent, how would the area of ABCD change?

a)

The area of ABCD would be decreased by 50 percent.

b)

The area of ABCD would be increased by 50 percent.

c)

The area of ABCD would not change.

d)

The area of ABCD would be multiplied by 2.

17.

Boyd grows only tomatoes and raspberries in his garden. Last year, he grew 140 pounds of tomatoes and 60 pounds of raspberries. This year, the production, by weight, of tomatoes declined by 20 percent, and the production, by weight, of raspberries declined by 50 percent. By what percentage did the total yield, by weight, of Boyd’s garden decline?

a)

29 percent

b)

30 percent

c)

35 percent

d)

70 percent

18.

The graph shows the frequency distribution of a list of randomly generated integers between 0 and 10. What is the mean of the list of numbers?

a)

3.0

b)

3.5

c)

4.25

d)

12.0

19.

What is the minimum value of the function graphed on the xy-plane above, for $-4\le x\le6$ ?

a)

$-\infty$

b)

$-4$

c)

$-2$

d)

$1$

20.

According to Hubble’s data, how fast, in meters per second, is Galaxy Q moving away from Earth?

a)

2 × 10⁶ m/s

b)

5 × 10⁵ m/s

c)

5 × 10² m/s

d)

2.5 × 10²m/s

21.

There are four galaxies shown in the graph at approximately 0.9 Mpc from Earth. Which of the following is closest to the range of velocities of these four galaxies, in kilometers per second?

a)

100

b)

200

c)

450

d)

700

22.

Based on the model, what is the velocity, in kilometers per second, of a galaxy that is 15 Mpc from Earth?

a)

7,500 km/s

b)

5,000 km/s

c)

1,100 km/s

d)

750 km/s

23.

Janice puts a fence around her rectangular garden. The garden has a length that is 9 feet less than 3 times its width. What is the perimeter of Janice’s fence if the area of her garden is 5,670 square feet?

a)

342 feet

b)

318 feet

c)

300 feet

d)

270 feet

24.

Given the right triangle ABC above, which of the following is equal to $\frac{b}{a}$ ?

a)

sin A

b)

sin B

c)

tan A

d)

tan B

25.

A system of inequalities and a graph are shown. Which section or sections of the graph could represent all of the solutions to the system?

a)

Section R

b)

Sections Q and S

c)

Sections Q and P

d)

Sections Q, R, and S

26.

How long will it take for the arrow to reach its maximum height to the nearest tenth of a second?

(a)

27.

What is the maximum height from the ground the arrow will rise to the nearest meter?

(a)

28.

In a college archaeology class, 78 students are going to a dig site to find and study artifacts. The dig site has been divided into 24 sections, and each section will be studied by a group of either 2 or 4 students. How many of the sections will be studied by a group of 2 students?

(a)

29.

The xy-plane above shows one of the two points of intersection of the graphs of a linear function and a quadratic function. The shown point of intersection has coordinates (v,w). If the vertex of the graph of the quadratic function is at (4, 19), what is the value of v?

(a)

30.

A grocery store sells a brand of juice in individual bottles and in packs of 6 bottles. On a certain day, the store sold a total of 281 bottles of the brand of juice, of which 29 were sold as individual bottles. Which equation shows the number of packs of bottles, p, sold that day?

a)

$p=\frac{281-29}{6}$

b)

$p=\frac{281+29}{6}$

c)

$p=\frac{281}{6}-29$

d)

$p=\frac{281}{6}+29$

31.

What is the slope of the line in the xy-plane that passes through the points $\left(-\frac{5}{2},1\right)$ and $\left(-\frac{1}{2},4\right)$ ?

a)

$-1$

b)

$-\frac{2}{3}$

c)

$1$

d)

$\frac{3}{2}$

32.

During which of the following periods is the increase in the number of students with part-time jobs largest?

a)

Quarters 4 through 6

b)

Quarters 7 through 10

c)

Quarters 11 through 14

d)

Quarters 13 through 16

33.

Eli saves money each month to buy a new computer. The total amount he has saved, T, can be calculated by the equation T = 83 + 30m, where m is the number of months since he started saving. What does the number 83 represent in the equation?

a)

The amount of money Eli started with

b)

The number of months Eli has been saving

c)

The amount of money Eli saves each month

d)

The total amount of money Eli wants to save

34.

According to the Department of Agriculture, consuming 100 grams of banana provides 0.15 milligram of zinc. Which of the following is closest to the number of milligrams of zinc provided by 140 grams of banana?

a)

0.15

b)

0.21

c)

0.25

d)

0.93

35.

When the equation y = 5x + p, where p is a constant, is graphed in the xy-plane, the line passes through the point (−2, 1). What is the value of p?

a)

-9

b)

-2

c)

3

d)

11

36.

Which of the following statements about the relationship between the number of times at bat and the number of hits is true?

a)

As the number of times at bat increases, the number of hits decreases.

b)

As the number of times at bat increases, the number of hits increases.

c)

As the number of times at bat increases, the number of hits remains constant.

d)

As the number of times at bat decreases, the number of hits increases.

37.

For the player with 450 times at bat, the actual number of hits the player had is approximately how many fewer than the number of hits predicted by the line of best fit?

a)

10

b)

20

c)

30

d)

40

38.

An advertisement states that the printing rate of a certain printer is 400 characters per second. According to the convention that 1 word consists of 5 characters, what would be the advertised printing rate, in words per minute?

a)

2,00

b)

4,800

c)

24,000

d)

120,000

39.

The table above shows the yearly salary, in dollars, of an employee at a company. Which of the following best describes the type of model that fits the data in the table?

a)

Linear, increasing by approximately $1,140 per year

b)

Linear, increasing by approximately $1,245 per year

c)

Exponential, increasing by approximately 3% each year

d)

Exponential, increasing by approximately 9% each year

40.

$\left(x^2y-3y^2+5xy^2\right)-\left(-x^2y+3xy^2-3y^2\right)$
Which of the following is equivalent to the expression above?

a)

$2x^2y+2xy^2$

b)

$8xy^2-6y^2$

c)

$2x^2y+8xy^2-6y^2$

d)

$x^4y^2+9xy^4-15xy^2$

41.

$4x-\frac{1}{2}x-7=7\left(\frac{1}{2}x-7\right)$
Which of the following describes the solution to the equation above?

a)

$x=0$

b)

$x=10\frac{1}{2}$

c)

The equation has infinitely many solutions.

d)

The equation has no solutions.

42.

Based on the information in the table, which of these statements is true about the ranges and medians of the bills?

a)

Both the range and median of Joseph’s bills are less than the range and median of Samuel’s bills.

b)

Both the range and median of Joseph’s bills are greater than the range and median of Samuel’s bills.

c)

The range of Joseph’s bills is less than the range of Samuel’s bills, while the median of Joseph’s bills is greater than the median of Samuel’s bills.

d)

The range of Joseph’s bills is greater than the range of Samuel’s bills, while the median of Joseph’s bills is less than the median of Samuel’s bills.

43.

The table presents information about the 810 train cars in service on a railroad. Approximately what percentage of the train cars in service are double-decker cars that have been in service for less than 10 years?

a)

2 percent

b)

7 percent

c)

10 percent

d)

16 percent

44.

A moving company uses plastic wrap to bundle groups of boxes together. If a portion of plastic wrap that measures 900 inches in length is used to bundle each group of boxes, how many groups of boxes can be bundled using 1,500 feet of the same type of plastic wrap?

a)

15

b)

20

c)

25

d)

30

45.

What is the difference in the number of calories in a cheeseburger at the Riverside Diner and the median number of calories in cheeseburgers at all six restaurants?

a)

190

b)

233

c)

265

d)

390

46.

A circle is graphed in the xy-plane. If the circle has a radius of 3 and the center of the circle is at (4, −2), which of the following could be an equation of the circle?

a)

$\left(x+4\right)^2+\left(y-2\right)^2=3$

b)

$\left(x+4\right)^2-\left(y-2\right)^2=3$

c)

$\left(x-4\right)^2+\left(y+2\right)^2=9$

d)

$\left(x-4\right)^2-\left(y+2\right)^2=9$

47.

If a 9th-grade student at the high school is chosen at random, which of the following is closest to the probability that the student will have a GPA of 3.0 or greater?

a)

0.64

b)

0.48

c)

0.33

d)

0.19

48.

What is the difference, to the nearest whole percent, between the percentage of students enrolled in Propel who had a GPA of 3.0 or greater and the percentage of students not enrolled in Propel who had a GPA of 3.0 or greater?

a)

4%

b)

8%

c)

10%

d)

12%

49.

Of the students enrolled in the Propel program, the ratio of boys to girls is approximately 2:3. Which of the following is the best estimate of the number of girls enrolled in the program?

a)

44

b)

65

c)

73

d)

131

50.

An artist is creating a sculpture using bendable metal rods of equal length. One rod is formed into the shape of a square and another rod into the shape of an equilateral triangle. If each side of the triangle is 2 inches longer than each side of the square, how long, in inches, is each rod?

a)

16

b)

18

c)

24

d)

30

51.

$f\left(x\right)=\frac{2x-4}{2x^2+2x-4}$
A rational function is defined above. Which of the following is an equivalent form that displays values not included in the domain as constants or coefficients?

a)

$f\left(x\right)=\frac{x-2}{x^2+x-2}$

b)

$f\left(x\right)=\frac{2\left(x-2\right)}{2\left(x+2\right)\left(x-1\right)}$

c)

$f\left(x\right)=\frac{1}{x+1}$

d)

$f\left(x\right)=\frac{1}{2x^2}$

52.

A landscaper is designing a rectangular fountain with a 4-foot-wide path around it. The equation A = 4p + 64 will relate the area A, in square feet, of the path to the perimeter p, in feet, of the fountain. In the design, how many feet will the perimeter of the fountain increase for each additional square foot of the path’s area?

a)

$\frac{1}{64}$

b)

$\frac{1}{4}$

c)

$4$

d)

$64$

53.

In the xy-plane the graph of the function q is a parabola. The graph intersects the x-axis at (−1, 0) and (r, 0). If the vertex of q occurs at the point (2, 4), what is the value of r?

a)

0

b)

3

c)

4

d)

5

54.

Liquid going through a cooling system is chilled so that its temperature decreases at a constant rate from 100°C to 25°C in 5 seconds. Which of the following functions represents the temperature C, in degrees Celsius, as a function of the time t, in seconds, after chilling began, for 0 ≤ t ≤ 5 ?

a)

C = −25 + 15t

b)

C = 25 − 15t

c)

C = 25 + 15t

d)

C = 100 − 15t

55.

$V=\frac{4}{3}\pi r^3$
The formula for the volume of a sphere with radius r is shown above. The radius of the planet Jupiter is about 11 times the radius of planet Earth. Assuming that planets are spheres, about how many times larger is the volume of Jupiter than the volume of Earth?

a)

11

b)

121

c)

1,331

d)

1,775

56.

The population of squirrels in a park has been doubling every 15 years. Which of the following statements describes the type of function that best models the relationship between the population of squirrels in the park and the number of 15-year time periods?

a)

Exponential growth, because the population of squirrels is increasing by the same amount each 15-year time period

b)

Exponential growth, because the population of squirrels is increasing by the same percentage each 15-year time period

c)

Linear growth, because the population of squirrels is increasing by the same amount each 15-year time period

d)

Linear growth, because the population of squirrels is increasing by the same percentage each 15-year time period

57.

If function f is defined by $f\left(x\right)=3x^2-5x+4$ , what is $f\left(x-4\right)$ ?

a)

$f\left(x-4\right)=3x^2-5x$

b)

$f\left(x-4\right)=3x^2-5x+72$

c)

$f\left(x-4\right)=3x^2-29x+52$

d)

$f\left(x-4\right)=3x^2-29x+72$

58.

$x=\frac{1}{3}y$
$154-4y=10x$
The equations of two lines are shown above. If the lines are graphed in the xy-plane, which of the following ordered pairs represents the point at which the lines would intersect?

a)

(1, 3)

b)

(3, 9)

c)

(5, 15)

d)

(7, 21)

59.

A grocer carries two types of frozen meals that have the fat and carbohydrate content shown in the table above. John wants to purchase a combination of the two types of meals with no more than 350 grams of fat and no more than 2975 grams of carbohydrates. If John purchases 10 Szechuan chicken meals, what is the greatest number of stirϣfry meals he can purchase so that the combination will satisfy the requirements?

(a)

60.

$y=x^2-4x+3$
$y=x-1$
If (x, y) is a solution to the system of equations above, what is one possible value of the product of x and y ?

(a)

61.

In 2006, the price of king crab was $8 per pound at the beginning of the year and dropped to $7 per pound toward the end of the year. If 60% of the king crab supply was sold at the higher price per pound and the rest was sold at the lower price per pound, what was the total revenue generated, in millions of dollars, from the sales of king crab in 2006? (Disregard the $ when entering your answer.)

(a)

62.

In 2011, the price of king crab was $17 per pound. In 2012, x million pounds of king crab were sold at $16 per pound. If the total money generated from sales each year was the same, what is the value of x?

(a)

63.

Find the x and y values in Quadrant I that will satisfy the equations in this system:

$3x+y=23$
$y=x^2-2x+3$

a)

x = 4 and y = -11

b)

x = 4 and y = 11

c)

x = 5 and y = 38

d)

x = -5 and y = 38

64.

On a map, the distance between cities A and B is 5.5 inches. At what time will a car traveling at 50 miles per hour reach City B if it leaves City A at 5:00 a.m.? The map is scaled at 1 inch: 5 miles.

a)

6:05 a.m.

b)

7:21 a.m.

c)

7:55 a.m.

d)

5:33 a.m.

65.

Items in a ladies’ apparel shop are being repriced for a big sale. To realize optimum sales while maintaining profit, sale prices must be within the set limits. Referring to the chart, determine the price range for a piece of apparel originally priced at $30.

a)

$13.50 < new price < $21

b)

$15 ≤ new price ≤ $22.50

c)

$15 ≥ new price ≥ $22.50

d)

$13.50 ≥ new price ≥ $21

66.

Eddie bought 142 pieces of tiles sold on discounted price. He received a $40.47 discount from the original total price of $253.47. He later needed to buy 23 additional tiles of the same kind. How much will he pay for the additional purchase assuming that the same tiles are still being offered at the same discounted price?

a)

$34.50

b)

$37.21

c)

$35.00

d)

$36.55

67.

In a high school class of 22 students, there are 5 male students for every 6 female students. If 3 female students were to be added to this class, what would be the ratio of male to female students?

a)

5:6

b)

1:3

c)

2:3

d)

3:4

68.

The price of gasoline increased by 18% and now sells at $1.90 per gallon. What was the price before the increase?

a)

$1.63

b)

$1.61

c)

$1.65

d)

$1.60

69.

Find the slope of the line that intersects this curve at its vertex and y-intercept.

$x^2+4x+4=y$

a)

2

b)

3

c)

4

d)

1

70.

Which of the values is equal to this expression?

$\frac{4.95\times10^5}{1.65\times10^{-3}}$

a)

$8.1675\times10^8$

b)

$3.0\times10^9$

c)

$81.675\times10^8$

d)

$30\times10^{\ 7}$

71.

A and B are complementary angles. Angle B is two-thirds the measure of angle A. What is the measure of B ?

a)

$60\degree$

b)

$36\degree$

c)

$54\degree$

d)

$30\degree$

72.

Write the value for:

$36^{\frac{1}{2}}-\frac{1}{25^{-\frac{1}{2}}}+27^{-\frac{1}{3}}\times\frac{1}{3^{-2}}-99^0-5^{-4}$
Round your answer to the nearest thousandth.

(a)

73.

A rectangular swimming pool will be constructed on a lot measuring 40 m x 30 m. The pool must be 15 m longer than it is wide and have an area of not less than 350 sq m. What are the minimum values for the pool’s length and width?

a)

30 m for length and 15 m for width

b)

35.5 m for length and 20.5 m for width

c)

27.66 m for length and 12.66 m for width

d)

29 m for length and 14 m for width

74.

Find the measure of angle C in degrees rounded to two decimal digits. The number you would write in the boxes, filling the corresponding circles below it, is (a) .

75.

As shown in the graphic, what is the value of θ?

(if necessary, round to the nearest hundredth)

(a)

76.

The rectangle in the figure is made up of two congruent 30-60-90 triangles with a hypotenuse of 6. The shaded parts are semi-circles. What is the total area of the combined shaded parts in square units? Round your answer to the nearest hundredth.

(a)

77.

An hour hand will have made a 50-degree turn from an initial position after how many minutes?

(a)

78.

What is the value of:

$\frac{24i^{14}+3i^{16}}{3i^2}$

a)

8

b)

7

c)

6

d)

9

79.

Steven is on a working vacation. He rents a temporary workspace at $60 for the first three days and $15 per day thereafter. Which equation expresses the total amount of rent, R, that Steve pays after using the workspace for d days. Assume that d > 3.

a)

R = 20 + 15d

b)

R = 5 (4 + d)

c)

R = 15 (1 + d)

d)

R = 60 + 15d

80.

In which quadrant will these equations both be true?
(or where will the solution be?)

$7x=3y-1$
$3x-2y+4=0$

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

81.

The graph shows the population of rabbits in a colony over a period of 10 months. The blue line shows the ideal population based on the colony’s capacity, while the red line shows the actual population. When did the actual population reach the ideal population for September?

a)

between August and September

b)

September

c)

August

d)

middle of September

82.

The graph shows the population of rabbits in a colony over a period of 10 months. The blue line shows the ideal population based on the colony’s capacity, while the red line shows the actual population.

To check this overpopulation and keep the number consistent with the ideal population, approximately how many rabbits must be removed from the colony at the start of October?

a)

800

b)

1,500

c)

1,750

d)

1,000

83.

If $2^{p+3}=q$ what is $2^p$ in terms of $q$ ?

a)

$\frac{q}{8}$

b)

$8q$

c)

$q^{-3}$

d)

$q-3$

84.

The number of members of a band decreased by 6% from 2019 to 2020. If there were m members in 2020, approximately how many members were there in the band in 2019?

a)

1.06m

b)

0.94m

c)

0.06m

d)

m - 0.06

85.

A metal cube is heated so that its volume is doubled without changing the overall shape. By what approximate percentage did the length of each side of the cube increase?

a)

100%

b)

26%

c)

2%

d)

50%

86.

A bus travels a distance of 9 km in 25 minutes. At this rate, which of the following is the closest to the distance it will travel in 3 hours?

a)

22 km

b)

55 km

c)

65 km

d)

40 km

87.

If $i=\sqrt{-1}$ which of the following is equivalent to $i^{100}-i^{99}$

a)

$-1$

b)

$i$

c)

$1-i$

d)

$1+i$

88.

If the expression $2p^2-\frac{1}{2}q^2$ can be written as $a\left(p+bq\right)\left(p-bq\right)$ , then what is the value of $ab$ ?

a)

$\sqrt{2}$

b)

$\frac{1}{2}$

c)

$1$

d)

$2$

89.

The price of one pair of jeans at a certain store is d dollars. Each additional pair of jeans purchased after the first is offered at a discount of 20%. If Ron purchased j

j pairs of jeans in all (j > 1), which of the following represents the total amount Ron would have paid?

a)

1.80dj

b)

0.20d(4 + j)

c)

0.20d(1 + 4j)

d)

d(1 + 0.80j)

90.

If $a=\frac{1}{b}+\frac{2}{c}$ , what is $c$ in terms of $a$ and $b$ ?

a)

$c=\frac{2b}{ab-1}$

b)

$c=\frac{2}{ab-1}$

c)

$c=\frac{2\left(1-ab\right)}{a}$

d)

$c=\frac{2ab}{1-ab}$

91.

$\left(x-2\right)^2-3\left(x-2\right)^2-4=0$

In the equation above, x > 1. What is the value of x?

a)

3

b)

2

c)

6

d)

4

92.

If $\frac{a}{b}=2\left(p-q\right)$ , what is the value of $\frac{b}{2a}$ ?

a)

$\frac{4}{p-q}$

b)

$\frac{1}{2\left(q-p\right)}$

c)

$\frac{1}{4\left(p-q\right)}$

d)

$\frac{1}{p-q}$

93.

Apples cost $1.50 per pound and oranges cost $1.20 per pound. If Sam bought 20 pounds of apples and oranges in all and paid $28.20, how many pounds of oranges did he buy?

a)

8

b)

6

c)

10

d)

14

94.

The average (arithmetic mean) of 3, −2, 5, 0, n, and 6 is a. If n is an integer and if 3 ≤ a ≤ 4, then which choice could not be a possible value of n?

a)

7

b)

10

c)

12

d)

5

95.

In the standard xy coordinate plane, the point (a,b) is reflected over the x−axis and the reflected point is reflected over the y−axis. If the coordinates of the final image are (3,−4) what is the value of a + b?

a)

$\frac{3}{4}$

b)

$7$

c)

$1$

d)

$\frac{4}{3}$

96.

Triangle ABC is similar to triangle PQR. The area of triangle ABC is $\frac{9}{4}$ times the area of triangle PQR. If the perimeter of triangle ABC is 30 cm, what is the perimeter, in cm, of triangle PQR?

a)

$\frac{9}{4}$

b)

$20$

c)

$30$

d)

$\frac{4}{9}$

97.

The park rangers at a wild life reserve in the Everglades regularly tag and measure alligators. The mean length of the 18 alligators they've tagged so far this month is 9 feet 11 inches. Today they tagged three more alligators. If the lengths of these alligators raised the month's mean to 10 feet 3 inches, what is the mean length, to the nearest inch, of the three alligators tagged today?

a)

10 feet 1 inch

b)

10 feet 7 inches

c)

12 feet 3 inches

d)

12 feet 6 inches

98.

Two trains leave stations 336 miles apart at the same time and travel toward each other on parallel tracks. One train travels at 108 miles per hour and the other travels at 92 miles per hour. How long will it take for the two trains to meet?

a)

1.43 hours

b)

1.512 hours

c)

1.68 hours

d)

2.114 hours

99.

The graph above shows the 2014 cumulative profits at the end of each month for CarMart, a car dealership. During the months of October, November, and December, CarMart began a new sales incentive program for their employees. In order to study the effectiveness of the incentive program, CarMart's owner compared two trend lines, l and k. Line l is the trend line for the entire year and line k is the trend line for the incentive program months. Which statement best summarizes the relationship between the employee incentive program and CarMart's profits?

a)

The impact of the employee incentive program on CarMart's profits cannot be determined from the information shown on this graph

b)

The employee incentive program increased CarMart's average monthly profit gains for 2014.

c)

The employee incentive program did not affect CarMart's overall average monthly profit gains for 2014.

d)

The employee incentive program decreased CarMart's average monthly profit gains for 2014.

100.

Alicia observes that the battery in her cellphone loses its charge slowly at first and then more quickly as the battery charge gets closer to 0%. Which of the following is a graph of the battery's charge as a function of time?

a)

b)

c)

d)

101.

Diego's mom lent him money for a new tablet. He agreed to perform x hours of chores to pay off his debt of y dollars. The graph above models this transaction on the xy-plane. Based on the graph, which of the following statements is true?

a)

The initial loan amount of $80 will be paid off after 400 hours of chores at a rate of -$10 per hour.

b)

The initial loan amount of $400 will be paid off after 80 hours of chores at a rate of -$5 per hour.

c)

The initial loan amount of $400 will be paid off after 80 hours of work at a rate of $10 per hour.

d)

The initial loan amount of $80 will be paid off after 400 hours of chores at a rate of $5 per hour.

102.

The chart above lists the top speeds of three land animals. What is the correct order of the animals from slowest speed to fastest speed?

a)

Roadrunner, Black mamba, Brown bear

b)

Brown bear, Black mamba, Roadrunner

c)

Black mamba, Roadrunner, Brown bear

d)

Roadrunner, Brown bear, Black mamba

103.

The scatterplot above displays the life expectancy at birth and per capita gross domestic product for 54 countries in 2014. Which statement most closely describes the correlation and relationship between life expectancy at birth and the per capita GDP?

a)

The data is negatively correlated and the relationship is linear

b)

The data is positively correlated and the relationship is linear.

c)

The data is negatively correlated and the relationship is logarithmic

d)

The data is positively correlated and the relationship is logarithmic.

104.

Points A and B on the scatterplot are both outliers. A represents the heart rate and longevity of chickens while B is the data for humans. Which statement below accurately describes these outliers?

a)

Humans and chickens both have faster-than-expected heart rates based on their average longevity.

b)

Humans and chickens both have slower-than-expected heart rates based on their average longevity

c)

Human heart rates are faster than expected, and chicken heart rates are slower than expected, based on their average longevity.

d)

Human heart rates are slower than expected, and chicken heart rates are faster than expected, based on their average longevity.

105.

Based on the data trend, which statement below is true about an animal with longevity, l, and its heart rate h?

a)

If 0 < h < 100, then 70 < l < 90

b)

If h > 300, then l > 10

c)

If 50 < h < 100, then 5 < l < 30

d)

If l < 50, then h < 50

106.

From the data, how many students from all four classes are projected to vote for Theme C?

a)

266

b)

272

c)

254

d)

211

107.

When using these data to make predictions, which class should have the most accurate results?

a)

Freshmen

b)

Sophomores

c)

Juniors

d)

Seniors

108.

The student council decided to poll some more students. If they poll three random seniors in the hall, what is the probability that none of them had already voted?

a)

0.246

b)

0.373

c)

0.627

d)

0.243

109.

Which of the following is an equation for the polynomial above?

a)

y = (x − a)(x – d)(x – f)

b)

y = (x – a)(x – c)(x – d)(x – f)

c)

y = (x + b)(x – e)

d)

y = (x + a)(x + b)(x + c)(x – d)(x – e)(x – f)

110.

Which of the following equations represents the line graphed in the xy-plane?

a)

$\frac{y}{6}+\frac{x}{9}=1$

b)

$\frac{3y-2x}{18}=1$

c)

$y=-\frac{3}{2}x+9$

d)

$3x+2y=12$

111.

C(q) = mq + b

The equation above is the linear cost model, in which m represents the costs per unit produced and b represents the fixed costs. What is the linear cost function for producing q toasters?

a)

C(q) = 300q + 5725

b)

C(q) = 300q + 5425

c)

C(q) = 6q + 5425

d)

C(q) = 6q + 5725

112.

P(q) = R(q) – C(q)

Most business decisions are made based on the profit function P(q), shown above. Profit is the revenue minus the costs. For what values of q will P(q) > 0?

a)

50 < q < 250

b)

q > 0

c)

q > 250

d)

q ≥ 302

113.

In the figure above, the perimeter of the rectangle is 14 centimeters, and the perimeter of the triangle is 9 centimeters. What is the value of x?

a)

4

b)

-1

c)

-3

d)

3

114.

A kiosk at the Musical Instruments Museum allows visitors to view and listen to different instruments from around the world. The selection includes 27 wind instruments, 55 percussion instruments, and 17 string instruments. Users may select specific instruments or choose to have the program select one at random. Josef randomly selects instruments 5 times in a row. If the program is designed not to repeat any instruments during a single session, what is the probability that at least one of the instruments was a wind instrument?

a)

0.1956

b)

0.2727

c)

0.7273

d)

0.8044

115.

The three smallest countries in the world are the Vatican, Monaco, and Nauru. Which statement below accurately compares the area of Monaco to the other two countries?

a)

Monaco is 354.55% bigger than the Vatican and 90.48% smaller than Nauru.

b)

Monaco is 78% bigger than the Vatican and 90.48% smaller than Nauru.

c)

Monaco is 78% bigger than the Vatican and 950% smaller than Nauru.

d)

Monaco is 354.55% bigger than the Vatican and 950% smaller than Nauru.

116.

y = -3x² + 5x + c

For what values of c will the graph of the equation above have two x-intercepts?

a)

$c<-\frac{12}{25}$

b)

$c>-\frac{25}{12}$

c)

$c\le\frac{12}{25}$

d)

$c\le\frac{25}{12}$

117.

Silver has a density of 10.49 grams per cubic centimeter and gold has a density of 19.32 grams per cubic centimeter. How much longer, in centimeters, is one side of the silver cube than one side of the gold cube?

a)

0.67

b)

1.81

c)

7.26

d)

2.79

118.

The graphs of y = -x² + 2x + 4 and x + y = 4 intersect at two points, A and B. What is the length of AB?

a)

$\sqrt{6}$

b)

$3\sqrt{2}$

c)

$-1$

d)

$4$

119.

Sara needs to create a 21% acid solution to study the effects of acid rain on tomato growth. She starts with 20 milliliters of a 25% acid solution then adds a 15% solution to dilute it. How many milliliters of the 15% acid solution should she add to form the 21% acid solution? (Round your answer to the nearest milliliter.)

(a)

120.

A hotel plans to install a new paved area around its 12-foot-by-20-foot swimming pool. The paved area will consist of a sidewalk of uniform width around three sides of the pool and an extended sun deck area on the fourth side, as shown in the illustration above. The length y of the sun deck will be three times the width x of the sidewalk. If the paved area is twice the pool area, what is the length of the sun deck area to the nearest tenth of a foot?

(a)

PSAT Practice Test ALL (calculator)

Total questions: 120

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