NLN PAX EXAM PREP: MATH QUESTIONS AND ANSWERS ALREADY PASSED

PAX MATH 1 Exam (NLN) Answered 2023/2024 Which of these fractions equals 40%? A.) 1/4 B.) 2/5 C.) 4/5 D.) 5/2 - answer: 2/5 Explanation: Check all the fractions A-D 2/5 = 0.4 Solve: 8 [7 - 3(12 - 2) / 5] A.) 0 B.) 8 C.) 16 D.) 64 - answer: 8 Of 60 patients treated with a certain medication, 24 showed no improvement. What percent of patients improved? A.) 60% B.) 40% C.) 36% D.) 24% - answer: 60% How much simple interest will be paid on a $500 loan for 1 year if the annual interest rate is 6%? A.) $3,000.00 B.) $530.00 C.) $120.00 D.) $30.00 - answer: $30.00 If x = 4, x³ A.) 12 B.) 16 C.) 64 D.) 256 - answer: 64 The dosage of a certain medication is determined by a patients 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.) A.) 75 mg B.) 100 mg C.) 375 mg D.) 400 mg - answer: 75 mg What is the area of a rectangle that is 4 feet wide and 9 feet long? A.) 18 square feet. B.) 26 square feet. C.) 36 square feet. D.) 72 square feet. - answer: 36 square feet. If 30% of x = 60, then x = A.) 200 B.) 280 C.) 50 D.) 18 - answer: 200 One kilometer (km) equals 0.6 miles. How many miles equal 2.75 km? A.) 1.65 miles. B.) 2.15 miles. C.) 3.35 miles. D.) 4.58 miles. - answer: 1.65 miles Explanation: If a hospital equipment salesperson receives a 12% commission, how much commission is paid when $16,000 worth of equipment is sold? A.) $1,333.33 B.) $1,920.00 C.) $14,080.00 D.) $17,920.00 - answer: $1,920.00 The difference between the boiling point and the melting point of a specific substance is 80 degrees Celsius (80 C). If the boiling point is 56 C, what is the melting point? A.) 24 C B.) -24 C C.) 36 C D.) -36 C - answer: -24 C If 1 kilogram (kg) equals 2.2 pounds (lbs), how many kg are there in 130 lbs? (To the nearest tenth of a kg.) A.) 286 kg B.) 62.3 kg C.) 59.1 kg D.) 58.7 kg - answer: 59.1 kg How many milligrams (mg) are in 50 grams (g)? (0.5 g = 500 mg) A.) 0.05 mg B.) 5,000 mg C.) 10,000 mg D.) 50,000 mg - answer: 50,000 mg 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? A.) $250.00 B.) $360.00 C.) $480.00 D.) $500.00 - answer: $480.00 If a = 3 and b = 6, what is the value of b to the a power? A.) 36 B.) 18 C.) 144 D.) 216 - answer: 216 The diameter of the lower power field of a certain microscope is 1.6 millimeters. The diameter of a cell that is half the diameter of the field is? A.) 1,600 microns. B.) 1,000 microns C.) 800 microns. D.) 500 microns. - answer: 800 microns. 2/5 + 3/10 = A.) 1/3 B.) 1/2 C.) 7/10 D.) 1 1/5 - answer: 7/10 The concentration of allergens in an experimental sample of air is one pat per billion. Which of these mathematical notations represents this concentration? A.) 1.0 x 10 ^-11 B.) 1.0 x 10 ^-9 C.) 1.0 x10 ^-7 D.) 1.0 x10 - answer: 1.0 x 10 ^-9 If one quart = 0.9 liters, how many quarts are there in 18 liters? A.) 0.5 quarts B.) 16.2 quarts C.) 20 quarts D.) 23.6 quarts - answer: 20 quarts An insecticide label specifies a dilution ration of 1 1/2 teaspoons of insecticide per gallon of water. How much insecticide should be added to a one-half gallon water? A.) 1/8 teaspoon. B.) 1/2 teaspoon. C.) 3/4 teaspoon. D.) 3 teaspoons. - answer: 3/4 teaspoon A uniform top costs $15.75. If a student gives the clerk $50.00 for three tops, how much change will the student receive? A.) $47.25 B.) $34.25 C.) $14.85 D.) $2.75 - answer: $2.75 0.124 x 0.06 = A.) 0.00744 B.) 0.0744 C.) 0.744 D.) 7.44 - answer: 0.00744 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? A.) 50 N B.) 100 N C.) 400N D.) 800N - answer: 400 N .03% of 1,500 is? A.) 500 B.) 45 C.) 0.45 D.) 0.15 - answer: 0.45 Factor 6x^2 + x -12 in two binomial terms. A.) (2x - 4)(3x + 3) B.) x(6x + 1) - 12 C.) (3x + 4)(2x - 3) D.) (2x + 3)(3x -4) - answer: (2x + 3)(3x - 4) 17 out of 25 children in a pediatrics ward are under 1 year old. Express this fraction as a percentage. A.) 0.17% B.) 0.68% C.) 17.25% D.) 68% - answer: 68% 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? A.) 30% B.) 32% C.) 35% D.) 40% - answer: 32% 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? A.) $26,100.00 B.) $22,275.00 C.) $21,000.00 D.) $17,025.00 - answer: $22,275.00 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? A.) 70 B.) 135 C.) 175 D.) 700 - answer: 175 A teacher's aid 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 each classroom receive? A.) 1 3/8 B.) 1 1/2 C.) 1 3/4 D.) 1 5/6 - answer: 1 5/6 Express .037 as a percent. A.) 0.04% B.) 0.37% C.) 3.70% D.) 37% - answer: 3.70% 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) A.) 0.18 kg B.) 5.45 kg C.) 26.4 kg D.) 54.5 kg - answer: 5.45 kg A coach found that 2/5 of the baseball team reported for spring training in good physical condition. What is the decimal representation for that number? A.) 0.125 B.) 0.2 C.) 0.35 D.) 0.4 - answer: 0.4 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? A.) $3.86 B.) $3.94 C.) $4.69 D.) $4.70 - answer: $4.70 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.) A.) 70 B.) 76 C.) 80 D.) 82 - Mean: 60 + 75 + 80 + 88 = 303 303/4 = 75.75 (round) answer: 76 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? A.) 2 1/6 B.) 3 C.) 3 1/6 D.) 3 5/6 - answer: 3 1/6 On a final exam, a student received 96 problems correct out of the 120 total problems. What percentage of the problems did she get INCORRECT? A.) 10% B.) 20% C.) 40% D.) 80% - answer: 20% 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 gt = 0.946 L) A.) 3.784 B.) 0.946 C.) 0.216 D.) 0.054 - answer: 0.216 The perimeter of a rectangle is 240 inches. If the length is twice the width, what are the dimensions of the rectangle? A.) 60 inches x 120 inches. B.) 30 inches x 80 inches. C.) 30 inches x 60 inches. D.) 40 inches x 80 inches. - answer: 40 inches x 80 inches 40 + 80 = 240 On a charity walk, Maggie can earn $5.00 for each kilometer she walks. If a mile approximately 1.3 kilometers, how much did she earn if she walked 3.5 miles? A.) $6.50 B.) $14.55 C.) $17.50 D.) $22.75 - answer: $22.75 A patient's room is 10 feet (ft) wide and 15 ft long. If all rooms are built to the same proportion, what is the length of a room that is 18 ft wide? A.) 12 ft B.) 23 ft C.) 27 ft D.) 30 ft - answer: 27 ft What percent of 125 is 375? A.) 33.33% B.) 250% C.) 300% D.) 468.75% - answer: 300% A commercial popcorn machine make 12 pounds of popcorn, which can fill 4- ounce bags. A.) 24 B.) 36 C.) 40 D.) 48 - answer: 48 Carol run 2.6 miles each weekday morning before going to work to prepare for a marathon race. If the race is approximately 26 mils, what percent of the distance does Carol run each week? A.) 10% B.) 20% C.) 40% D.) 50% - answer: 50% 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) A.) 137.1 B.) 112.4 C.) 96.71 D.) 52.7 - answer: 52.7 127.670 - 39.68 = A.) 167.35 B.) 88.99 C.) 87.99 D.) 86.01 - answer: 87.99 If a hospital equipment salesman receives a 12% commission, how much commission is paid when $16,000 worth of equipment is sold? A.) $1,333.33 B.) $1,920.00 C.) $14,080.00 D.) $17,920.00 - answer: $1,920.00 A gear wheel with 9 teeth plays into a gear wheel with 27 teeth. When the smaller wheel has made 42 revolutions, how many revolutions has the larger wheel made? A.) 14 B.) 16 C.) 120 D.) 126 - answer: 14 2652 / 13 = A.) 24 B.) 204 C.) 240 D.) 2040 - answer: 204 If 24% of the 50 students who enrolled in chemistry course dropped out, how many remained? A.) 12 B.) 27 C.) 38 D.) 76 - answer: 38 On a map, 1/4 inch represents 125 miles (mi). How many miles do 5 inches represent? A.) 100 mi. B.) 5,000 mi C.) 1,000 mi D.) 2,500 mi - answer: 2,500 mi 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) A.) 16 B.) 12 C.) 10 D.) 8 - answer: 8 During a sale, a bookstore reduced the price by 3/20 for each $25.00 book. The final sale price was? A.) $10.00 B.) $21.25 C.) $23.50 D.) $24.85 - answer: $21.25 Convert 4 1/5 to a decimal. A.) 0.042 B.) 0.42 C.) 4.2 D.) 42 - answer: 4.2 Dorsey has 3 3/5 pies, which he wants to split evenly among 6 people. How much of a pie should each person get? A.) 3/10 B.) 1/2 C.) 3/5 D.) 1 1/10 - answer: 3/5 A room measure 12 1/2 feet on each side. How many square feet of carpeting will be needed to completely cover the floor? A.) 25 B.) 50 C.) 144 1/4 D.) 156 1/4 - answer: 156 1/4 From an 8-ounce (oz) bottle of medicine, how many doses can be obtained if each does is two teaspoons (tsp)? (1 Tablespoon = 3 tsp = 0.5 oz). A.) 16 B.) 24 C.) 36 D.) 48 - answer: 24 2 3/5 x 3/4 = A.) 1 19/20 B.) 2 9/20 C.) 4 1/3 D.) 6 9/20 - answer: 2 9/20 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? A.) $8,460.00 B.) $9,006.00 C.) $9,540.00 D.) $14,400.00 - answer: $9,540.00 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? A.) 4/15 B.) 3/8 C.) 5/8 D.) 11/5 - answer: 4/15 If 15 out of ever 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? A.) 210 B.) 453 C.) 2,590 D.) 2,644 - answer: 2,590 What is the reciprocal of 2 3/4? A.) 4/11 B.) 4/6 C.) 11/4 D.) 3 1/3 - answer: 4/11 What number is 29% of 150? A.) 517.24 B.) 43.5 C.) 19.33 D.) 5.17 - answer: 43.5 Solve for x and y: 5x - 2y =1 and x + y = 10 A.) x = 14, y = -4 B.) x = 5, y = 5 C.) x = 4, y = 6 D.) x = 3, y = 7 - answer: x = 3, y = 7 A smoking cessation program was organized for 623 employees of a company, and 216 sucessfully stopped smoking. What was the approximate ratio of successes to failures? A.) 1 to 2 B.) 2 to 3 C.) 3 to 1 D.) 4 to 2 - answer: 1 to 2 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? A.) 0.25 B.) 0.50 L C.) 1 L D.) 2 L - answer: 0.25 L If X and Y are odd, which expression must be odd? A.) X + Y B.) X -Y C.) X - Y + 2 D.) X - Y + 1 - answer: X - Y + 1 Which of these fractions is not equivalent to a terminating decimal number? A.) 12/14 B.) 4/5 C.) 5/8 D.) 24/64 - answer: 12/14 A certain intravenous tubing apparatus releases 60 drops of fluid per minute. How many drops will be release in 2 1/2 minutes? A.) 150 B.) 122 C.) 120 D.) 24 - answer: 150 Zero can never be used as a? A.) dividend. B.) multiplicand. C.) divisor. D.) quotient - answer: divisor. How many miles equal 2.75 km ( 1 km = 0.6 mi) A.) 1.65 B.) 2.15 C.) 3.35 D.) 4.58 - answer: 1.65 A baby fell asleep at 7:55 PM and slept for 6 3/4 hours. When did the baby wake? A.) 2:10 AM B.) 2:30 AM C.) 2:40 AM D.) 3:10 AM - answer: 2:40 AM 2/5 + 3/10 = A.) 1/3 B.) 1/2 C.) 7/10 D.) 1 1/5 - answer: 7/10 9-5 2/3= - answer: 3 1/3 A 2 1/2 ounce (oz) piece of cheese supplies 240 calories. How many calories are supplied by 1 oz of cheese? - answer: 96 A patient is to be given a medication for 84 hours. How many days does this time period cover? - answer: 3 1/2 days A patient's temperature rose from 99.4oF to 102.2oF. How many degrees did it rise? - answer: 2.8 degrees F If a solution contains 9 milligrams (mg) of salt per 1,000 milliliters (mL), how many mgs of salt would be needed to make 250 mL? - answer: 2.25 mg A tablet contains 2.5 grains of aspirin. If a patient takes 2 tablets every 4 hours, how many grains of aspirin will be taken in 24 hours? - answer: 30 A yardstick is cut so that the longer piece is twice the length of the shorter piece. How long is the shorter piece in inches (in)? (1 yard = 36 inches) - answer: 12 in An anti-allergy medication is 75% aspirin and 25% antihistamine. Aspirin costs 15 cents per gram and antihistamine costs 50 cents per gram. What will it cost to make one hundred 1g tablets of this medication? - answer: $23.75 Express 0.057 as a percentage. - answer: 5.70% Express 0.65 as a fraction. - answer: 13/20 Express 125/1000 as a decimal. - answer: 0.125 Express 80% as a fraction. - answer: 4/5 Express 9/30 as a percentage. - answer: 30% How many milligrams (mg) are in 50 grams (g)? (0.5 g = 500 mg) - answer: 50,000 mg If 1 kilogram (kg) equals 2.2 pounds (lbs), how many kg are there in 130 lbs? (To the nearest tenth of a kg.) - answer: 59.1 kg 350 is 40% of what number? - answer: 875 How much simple interest will be paid on a $500 loan for 1 year if the annual interest rate is 6%? - answer: $30 If 30% of x = 60, then x = - answer: 200 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? - answer: $480.00 If a = 3 and b = 6, what is the value of b to the a power? - answer: 216 If a hospital equipment salesperson receives a 12% commission, how much commission is paid when $16,000 worth of equipment is sold? - answer: $1,920.00 If x = 4, x3 = - answer: 64 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.) A.) 75 mg B.) 100 mg C.) 375 mg D.) 400 mg - answer: 75 mg Of 60 patients treated with a certain medication, 24 showed no improvement. What percent of patients improved? - answer: 60% On a map, 1/4 inch represents 125 miles (mi). How many miles do 5 inches represent? - answer: 2,500 miles 2 3/5 x 3/4 = - answer: 1 and 19 div 20 Which of these fractions equals 40%? - answer: 2/5 27.76 x 30.7 = - answer: 852.232 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? - answer: $22,275.00 48 is what percent more than 40? - 20% 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? - answer: $4.70 A commercial popcorn machine makes 12 pounds of popcorn, which can fill 4- ounce bags - answer: 48 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? - answer: 27 ft 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) - answer: 0.216 A snack consists of 2 oz. Swiss cheese, six whole wheat creakers, and 1.5 tablespoons of milk in a cup of coffee. One ounce of Swiss cheese provides 7.7 grams of protein; each cracker provides 0.4 grams of protein; and 2 tablespoons of milk provide 1.1 grams of protein. How much protein does this snack provide? - answer: 18.625g If 4x + 3 = 7x - 9 then x = - answer: 4 A store put on a sale of suits for 7/8 of the regular price, $192.00. After a week, they changed the price to 11/12 of the sale price. What was the final price? - answer: $154 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.) - answer: 76 During a sale, a bookstore reduced the price by 3/20 for each $25.00 book. The final sale price was - answer: $21.25 If 1 quart = 0.9 liters, how many quarts are there in 18 liters? - answer: 20 quarts How many miles equal 2.75 km? (1 km = 0.6 mi) - answer: 1.65 .03% of 1,500 is - answer: 0.45 The concentration of allergens in an experimental sample of air is one part per billion. Which of these mathematical notations represents this concentration? - answer: 1.0x10^-9 What is the square of 1 3/5 A.) 1 9/10 B.) 1 9/25 C.) 2 1/5 D.) 2 14/25 - answer: 1 9/25 What percent of 125 is 375? A.) 33.33% B.) 250% C.) 300% D.) 468.75% - answer: 33.33% What number is 29% of 150? A.) 517.24 B.) 43.5 C.) 19.33 D.) 5.17 - answer: 43.5 A beaker holds 12 1/2 ounces of a solution. How many 1 1/1 ounce vials can be filled from this beaker? - answer: 8 vials. Following a heat stroke, a patient's temperature averaged 100.5 degrees F over a 4-day period. On the 5th and 6th days, the average temp was 99.0 degrees F. What was the average temp over the 6 days? - answer: 100.1 degrees F. What is the area of a rectangle that is 4 feet wide and 9 feet long? - answer: 36 square feet A piece of cloth is 15 ft. long. If 2.1 ft at one end are damaged, how many feet of cloth are undamaged? - answer: 12.9 A student is reading a 434 page novel. He reads 112 pages on Monday, 98 pages on Tuesday & Wednesday, and 88 pages on Thursday. How many pages does he have left? - answer: 38 If 4x + 3 = 7x - 9 then x = - answer: 4 2/5 + 3/10 = - answer: 7/10 Express 3% as a decimal. - answer: 0.03. 5/8 of a yard is the same as what percentage of a yard? - answer: 62.5%. A patient's temperature rose from 99.4 degrees F to 102.2 degrees F. How many degrees did it rise? - answer: 2.8 degrees F. A patient is to be given a medication for 84 hours. How many days does this time period cover? - answer: 3 1/2 days. What is 6/19 expressed to the nearest thousandth place? - answer: 0.316. if 30 % of x=60, then x= - answer: 200 what percent of 125 is 375? - answer: 300%