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WorksheetsPSAT Math (Calculator)
Total questions: 20
Worksheet time: 22mins
Name
Class
Date
1.
A pharmacist filled 5 prescriptions in 20 minutes. At this rate, how many prescriptions would the pharmacist expect to gill in 2 hours?
a)
15
b)
25
c)
30
d)
35
2.
Which of the following is equivalent to 3(x + 5)-6
a)
3x-3
b)
3x-1
c)
3x+9
d)
15x-6
3.
If 6x= 25, what is the value of 3(x+ 1/2)?
a)
53/6
b)
51/2
c)
13
d)
14
4.
Martin spent $855 on expenses for a trip. The expenses included hotel, rental car, and meals. He spent 50% more for the hotel than for the rental car and meals combined. What did Martin spend on his hotel?
a)
$570
b)
$513
c)
$214
d)
$155
5.
A tank is completely filled with water. A pump is used to drain the tank. The amount of water remaining in the tank is given by the equation y=600-25x, where x is the number of minutes since the pump started and y is the volume, in gallons, of water remaining in the tank. In the equation, what are the meanings of the numbers 25 and 600?
a)
The number 25 is the number of minutes it will take to drain the tank, which holds 600 gallons of water.
b)
The number 25 is the rate of increase, in gallons per minute, of the flow from the tank, which holds 600 gallons of water.
c)
The number 25 is the rate of increase, in gallons per minute, in the volume of water in the tank, which started at 600 gallons.
d)
The number 25 is the rate of decrease, in gallons per minute, in the volume of water in the tank, which started at 600 gallons.
6.
y= x-4
4x-4y=12
The system of equations above consists of two equations, and the graph of each equation in the xy-plane is a line. Which of the following statements is true about these two lines?
4x-4y=12
The system of equations above consists of two equations, and the graph of each equation in the xy-plane is a line. Which of the following statements is true about these two lines?
a)
The lines are parallel
b)
The lines are the same
c)
The lines are perpendicular
d)
The lines intersect at (-4, -3)
7.
Louis bought two movies at his local store. The regular price for each movie was r dollars. The store charged Louis the regular price for the first movies and gave him a 25 percent discount on the second movie. He was charged 8 percent sales tax on the entire purchase. Which of the following expressions gives the total, in dollars, Louis paid, including sales tax?
a)
1.08r + 0.75r
b)
1.08(2(0.75r))
c)
1.08(r + 0.75r)
d)
1.08(r - 0.25r)
8.
The resale value of a car is expected to decrease by 15 percent from one year to the next from the year the car is purchased. What type of relationship should be expected between the age of a car and the resale value?
a)
Linear relationship whose graph has a positive slope
b)
Linear relationship whose graph has a negative slope
c)
Quadratic relationship in which higher resale values of a car correspond to lower age values of the car
d)
Exponential relationship in which lower resale values of a car correspond to higher age values of the car
9.
A certain rectangular prism has a height of h inches, a width that is 3 inches less than its height, and a length that is 4 inches more than its height. If the area of the base prism is 60 square inches, what is the volume of the prism, in cubic inches?
a)
480
b)
702
c)
8
d)
540
10.
In an Italian class, 65% of the students were women. At the end of the class, 52% of the men and 44% of the women received a certificate. What percentage of the class received a certificate?
a)
96%
b)
47%
c)
50%
d)
8%
11.
If the sample is representative of a high school with 2,000 freshman and seniors, then based on the table, what is the predicted number of freshman at the high school who would select math as their favorite high school subject?
a)
520
b)
240
c)
65
d)
30
12.
If one of the seniors from the sample is selected at random, which of the following is the closest to the probability the student selected science as his or her favorite high school subject?
a)
0.48
b)
0.26
c)
0.32
d)
0.15
13.
The total amount Thad paid for water bottles and cookies was $45. If the combined cost of one water bottle and one cookie is $2, what is the cost of one cookie?
a)
$0.75
b)
$0.91
c)
$1.09
d)
$1.25
14.
What was the cost of one ticket for a child younger than fourteen?
a)
$0.15
b)
$6.50
c)
$8.30
d)
$11.65
15.
a)
The kinetic energy of an object with a mass of 1 kilogram moving at 2 meters per second
b)
The kinetic energy of an object with a mass of 1 kilogram moving at 1 meter per second
c)
The kinetic energy of an object with a mass of 1 kilogram moving at 0.5 kilometer per hour
d)
The kinetic energy of an object with a mass of 2 kilograms moving at 1 meter per second
16.
The formula above can be used to calculate the total surface area of the right square pyramid shown, where x is the length of a side of the square base, and s is the slant heights of a lateral face. What must the expression 2xs represent?
a)
The sum of the areas of the lateral faces
b)
The area of one lateral face
c)
The area of the base
d)
The area of the base and one lateral face
17.
In the right triangle above, BE=5, and AB=12. If the length of AC is 1 unit more than twice the length of DE, what is the length of DE?
a)
1/2
b)
5/2
c)
3
d)
4
18.
A company test marketed an item at different prices in a region of the country. The scatterplot above shows the item prices and the profit made by the company when the item sold at different item prices. A quadratic model that best fits the data is also shown. For a price of $60, which of the following best approximates the percent increase from the test market profit to the profit that the model predicts?
a)
50%
b)
75%
c)
100%
d)
200%
19.
a)
A
b)
B
c)
C
d)
D
20.
a)
A
b)
B
c)
C
d)
D
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