PAX Prep Math Exam
The difference between the boiling point and the melting point of a specific substance is 80 degrees Celsius (80oC). If the boiling point is 56oC, what is the melting point? 24oC -24oC 36oC -36oC
-24oC
0.124 x 0.06 = 0.00744 0.0744 0.744 7.44
0.00744
A car requires 4 quarts of oil, but only liters are available. When the engine is filled to capacity with oil, how much, in liters, will be left? (1 qt = 0.946 L) 3.784 0.946 0.216 0.054
0.216
An ideal gas occupies a volume of 0.50 liter (L) at a pressure of 0.20 atmosphere. What volume will the gas occupy at 0.40 atmosphere if the temperature remains constant? 0.25 L. 0.50 L 1 L 2 L
0.25 L.
A coach found that 2/5 of the baseball team reported for spring training in good physical condition. What is the decimal representation of that number? 0.125 0.2 0.35 0.4
0.4
.03% of 1,500 is 500 45 0.45 0.15
0.45
2 3/5 x 3/4 = 1 19/20 2 9/20 4 1/3 6 9/20
1 19/20
A teacher's aide was given 5 1/2 pounds of molding clay and asked to separate it into equal amounts for 3 classrooms. How many pounds of clay did each classroom receive? 1 3/8 1 1/2 1 3/4 1 5/6
1 5/6
A smoking cessation program was organized for 623 employees of a company, and 216 successfully stopping smoking. What was the approximate ratio of successes to failures? 1 to 2 2 to 3 3 to 1 4 to 2
1 to 2
The concentration of allergens in an experimental sample of air is one part per billion. Which of these mathematical notations represents this concentration? 1.0 x 10^-11 1.0 x 10^-9 1.0 x 10^-7 1.0 x 10
1.0 x 10^-9
How many miles equal 2.75 km? (1 km = 0.6 mi) 1.65 2.15 3.35 4.58
1.65
One kilometer (km) equals 0.6 miles. How many miles equal 2.75 km? 1.65 miles. 2.15 miles. 3.35 miles. 4.58 miles.
1.65 miles.
Which of these fractions is not equivalent to a terminating decimal number? 12/14 4/5 5/8 24/64
12/14
A certain intravenous tubing apparatus releases 60 drops of fluid per minute. How many drops will be released in 2 1/2 minutes? 150 122 120 24
150
A room measures 12 1/2 feet on each side. How many square feet of carpeting will be needed to completely cover the floor? 25 50 144 1/4 156 1/4
156 1/4
A head nurse borrowed 35 syringes from the intensive care unit (ICU). If this was 20% of the ICU's total supply, how many syringes did the ICU have in total? 70 135 175 700
175
What is 1 3/5 squared? 1 9/10 1 9/25 2 1/5 2 14/25
2 14/25
On a map, 1/4 inch represents 125 miles (mi). How many miles do 5 inches represent? 100 mi. 5,000 mi. 1,000 mi. 2,500 mi.
2,500 mi.
If 15 out of every 200 patients admitted to a hospital remain longer than a week, how many of the 2,800 admissions in a given year were released within one week? 210 453 2,590 2,644
2,590
Which of these fractions equals 40%? 1/4 2/5 4/5 5/2
2/5
If 1 quart = 0.9 liters, how many quarts are there in 18 liters? 0.5 quarts. 16.2 quarts. 20 quarts. 23.6 quarts.
20 quarts.
If 30% of x = 60, then x = 200 280 50 18
200
2652 / 13 = 24 204 240 2040
204
If a = 3 and b = 6, what is the value of b to the a power? 36 18 144 216
216
From an 8-ounce (oz) bottle of medicine, how many doses can be obtained if each dose is two teaspoons (tsp)? (1 Tablespoon = 3 tsp = 0.5 oz). 16 24 36 48
24
A patient's room is 10 feet (ft) wide and 15 ft long. If all rooms are built to the same proportions, what is the length of a room that is 18 ft wide? 12 ft 23 ft 27 ft 30 ft
27 ft
A baby fell asleep at 7:55 PM and slept for 6 3/4 hours. When did the baby wake? 2:10 AM 2:30 AM 2:40 AM 3:10 AM
2:40 AM
If 2 1/3 liters of sterile water are poured out of a full 5 1/2 liter container, how many liters are left in the container? 2 1/6 3 3 1/6 3 5/6
3 1/6
Express .037 as a percent. 0.04% 0.37% 3.70% 37%
3.70%
An insecticide label specifies a dilution ratio of 1 1/2 teaspoons of insecticide per gallon of water. How much insecticide should be added to a one-half gallon of water? 1/8 teaspoon. 1/2 teaspoon. 3/4 teaspoon. 3 teaspoons.
3/4 teaspoon.
Dorsey has 3 3/5 pies, which he wants to split evenly among 6 people. How much of a pie should each person get? 3/10 1/2 3/5 1 1/10
3/5
What percent of 125 is 375? 33.33% 250% 300% 468.75%
300%
A nursing home allows its residents to be admitted with their pets. Last month, 8 of the 25 residents had their pets with them. What percentage of the residents is this? 30% 32% 35% 40%
32%
Compute: -374 - (-715) -1,089 -341 341 1,089
341
What is the area of a rectangle that is 4 feet wide and 9 feet long? 18 square feet. 26 square feet. 36 square feet. 72 square feet.
36 square feet.
If 24% of the 50 students who enrolled in a chemistry course dropped out, how many remained? 12 27 38 76
38
Convert 4 1/5 to a decimal. 0.042 0.42 4.2 42
4.2
What is the reciprocal of 2 3/4? 4/11 4/6 11/4 3 1/3
4/11
Jose, Louis, and Li bought a car to travel to and from work. If Jose paid 1/3 and Louis paid 2/5 of the cost, what fraction did Li pay? 4/15 3/8 5/8 11/15
4/15
The perimeter of a rectangle is 240 inches. If the length is twice the width, what are the dimensions of the rectangle? 60 inches x 120 inches. 30 inches x 80 inches. 30 inches x 60 inches. 40 inches x 80 inches.
40 inches x 80 inches.
A 4-kilogram object revolves in a circle at constant speed and the centripetal force is 200 newtons (N). If the mass of the object is doubled while its speed and radius remain unchanged, the centripetal force on the object will now be 50 N 100 N 400 N 800 N
400 N
What number is 29% of 150? 517.24 43.5 19.33 5.17
43.5
A commercial popcorn machine makes 12 pounds of popcorn, which can fill ___ 4-ounce bags. 24 36 40 48
48
A person weighed 170 lbs at the beginning of the new year and weighed 158 lbs a few weeks later. How many kilograms did the person lose? (1 kg = 2.2 lbs) 0.18 kg 5.45 kg 26.4 kg 54.5 kg
5.45 kg
Carol runs 2.6 miles each weekday morning before going to work to prepare for a marathon race. If the race is approximately 26 miles, what percent of the distance does Carol run each week? 10% 20% 40% 50%
50%
How many milligrams (mg) are in 50 grams (g)? (0.5 g = 500 mg) 0.05 mg 5,000 mg 10,000 mg 50,000 mg
50,000 mg
In Europe, a road sign indicates that the next town is 85 kilometers away. How far is this in miles? (1 km = 0.62 mi) 137.1 112.4 96.71 52.7
52.7
If 1 kilogram (kg) equals 2.2 pounds (lbs), how many kg are there in 130 lbs? (To the nearest tenth of a kg.) 286 kg 62.3 kg 59.1 kg 58.7 kg
59.1 kg
Of 60 patients treated with a certain medication, 24 showed no improvement. What percent of patients improved? 60% 40% 36% 24%
60%
If x = 4, x3 = 12 16 64 256
64
17 out of 25 children in a pediatrics ward are under 1 year old. Express this fraction as a percentage. 0.17% 0.68% 17.25% 68%
68%
2/5 + 3/10 = 1/3 1/2 7/10 1 1/5
7/10
The dosage of a certain medication is determined by a patient's body weight. This medication's dosage is 2.5 mg per kilogram of body weight. What would be the dose for a patient who weighs 72 pounds? (1 lb = 0.453 kg) (Doses are rounded to the nearest 25 mg.) 75 mg 100 mg 375 mg 400 mg
75 mg
A student received a 75, 60, 80, and 88 on four tests. If all the tests are weighed equally, what is the student's average on the tests? (Round to the nearest whole number.) 70 76 80 82
76
A 2-day automobile trip of 880 miles is planned. Half of this distance is to be traveled each day at 55 miles per hour. How many hours will be driven each day? (D = RT) 16 12 10 8
8
Solve: 8 [7 - 3(12 - 2) / 5] 0 8 16 64
8
The diameter of the low power field of a certain microscope is 1.6 millimeters. The diameter of a cell that is half the diameter of the field is 1,600 microns. 1,000 microns. 800 microns. 500 microns.
800 microns.
127.670 - 39.68 = 167.35 88.99 87.99 86.01
87.99
If X and Y are odd, which expression must be odd? X + Y X - Y X - Y + 2 X - Y + 1
X - Y + 1
Solve for x and y: 5x - 2y = 1 and x + y = 10 x = 14, y = - 4 x = 5 , y = 5 x = 4, y = 6 x = 3, y = 7
x = 3, y = 7
If a hospital equipment salesman receives a 12% commission, how much commission is paid when $16,000 worth of equipment is sold? $1,333.33 $1,920.00 $14,080.00 $17,920.00
$1,920.00
If a hospital equipment salesperson receives a 12% commission, how much commission is paid when $16,000 worth of equipment is sold? $1,333.33 $1,920.00 $14,080.00 $17,920.00
$1,920.00
A uniform top costs $15.75. If a student gives the clerk $50.00 for three tops, how much change will the student receive? $47.25 $34.25 $14.85 $2.75
$2.75
During a sale, a bookstore reduced the price by 3/20 for each $25.00 book. The final sale price was $10.00 $21.25 $23.50 $24.85
$21.25
A clerk receives a salary of $1,750.00 per month. Last year, the clerk worked overtime for the last 3 months, earning $425.00 per extra month. What was the clerk's total salary for the 12-month year? $26,100.00 $22,275.00 $21,000.00 $17,025.00
$22,275.00
On a charity walk, Maggie can earn $5.00 for each kilometer she walks. If a mile is approximately 1.3 kilometers, how much did she earn if she walked 3.5 miles? $6.50 $14.55 $17.50 $22.75
$22.75
How much simple interest will be paid on a $500 loan for 1 year if the annual interest rate is 6%? $3,000.00 $530.00 $120.00 $30.00
$30.00
A packet of ground beef weighs 2.36 pounds and costs $1.99 per pound. What is the price of beef to the nearest cent? $3.86 $3.94 $4.69 $4.70
$4.70
Mr. Clark owns 150 shares of stock in the Acme Company and receives $180 per year in dividends. How much does Mrs. Grey receive for an annual dividend if she owns 400 shares in the same company? $250.00 $360.00 $480.00 $500.00
$480.00
A depositor begins the year with $9,000 in a savings account. The simple annual interest rate is 6%. If no withdrawals or additional deposits are made, how much money will be in the account after one year (12 months) has passed? $8,460.00 $9,006.00 $9,540.00 $14,400.00
$9,540.00
Factor 6x2 + x - 12 into two binomial terms. (2x - 4)(3x + 3) x(6x + 1) - 12 (3x + 4)(2x - 3) (2x + 3)(3x - 4)
(2x + 3)(3x - 4)
Zero can never be used as a dividend. multiplicand. divisor. quotient.
divisor.
