# Pharmacy maths exam | Mathematics homework help

Question 1

A liter bag of fluid is hung at 7 p.m. and runs at 100 mL/hr. How long will it last? Choose one answer.

a. 8 hrs

b. 10 hrs

c. 12 hrs

Question 2

A patient is getting D10W infused at 50 mL/hr using a 10 drop set. How many grams of dextrose is the patient receiving per hour?

Choose one answer.

a. 10 g/hr

b. 50 g/hr

c. 5 g/hr

Question 3

A patient is to be given 1750 mL at 95 mL/hr. What will the drop rate be if a 15 drop set is used? (Round to whole number)

Choose one answer.

a. 24 gtts/min

b. 15 gtts/min

c. 95 gtts/min

Question 4

A patient is to receive 2 g of medication in 150 mL over 90 minutes. What is the flow rate in milliliters per hour?

Choose one answer.

a. 100 mL/hr

b. 150 mL/hr

c. 50 mL/hr

Question 5

A patient needs 35% dextrose 500 mL. The pharmacy has only 70% dextrose 1000 mL. How much concentrate will you need?

Choose one answer.

a. 350 mL

b. 500 mL

c. 250 mL

Question 6

A patient uses 20 units of insulin in the morning and 18 units of insulin each evening. How many units total does the patient use daily?

Choose one answer.

a. 12 units

b. 38 units

c. 18 units

Question 7

A pediatric patient weighs 5.45 kg and has a length of 21 inches. The manufacturer of amoxicillin has a recommended dose of 20 to 40 mg/kg per day. The physician has ordered 125 mg tid. What is the recommended minimum dose per day?

Choose one answer.

a. 109 mg

b. 215 mg

c. 420 mg

Question 8

Calculate the amount of concentrate and diluent for each of the following compounds. A drug is supplied as a 40 mg/mL solution in a 50 mL vial. You need to make 10mL of a 10mg/mL solution. How much concentrate and diluent will be needed?

Choose one answer.

a. c=7.5mL d=2.5mL

b. c=2.5mL d=7.5mL

c. c= 4 mL d=6 mL

Question 9

Calculate the amount of concentrate and diluent for each of the following compounds. Prepare 8 mL of a 5 mg/mL hydrocortisone solution from a 100 mg/2 mL stock solution. How many milliliters of hydrocortisone and diluent are needed?

Choose one answer.

a. H=0.2 mL D=7.8 mL

b. H=2 mL D=6.1 mL

c. H=0.8 mL D=7.2 mL

Question 10

Calculate the amount of drug in a ratio solution. How many micrograms are in 1.4 mL of a 1:2000 solution?

Choose one answer.

a. 70 mcg

b. 7000 mcg

c. 700 mcg

Question 11

Calculate the amount of drug in a ratio solution. How many micrograms are in 1 mL of a 1:5000 solution?

Choose one answer.

a. 20 mcg

b. 200 mcg

c. 2000 mcg

Question 12

Calculate the amount of drug in milligrams for the following dispensed containers. Ketoconazole 2%, 7 fl oz shampoo.

Choose one answer.

a. 4.2 mg

b. 4200 mg

c. 4.2 mg

Question 13

Calculate the amount of medication in the following doses. How many milligrams are in 1 tbsp of a 0.5% drug product?

Choose one answer.

a. 0.075 mg

b. 7.5 mg

c. 75 mg

Question 14

Calculate the following BSA-based doses based on the provided recommended dose. Methotrexate is to be given at 3.3 mg/m2 The patient has a BSA of 0.83 m2. What will the dose be?

Choose one answer.

a. 2.74 mg

b. 27.4 mg

c. 0.27 mg

Question 15

Calculate the following BSA-based doses based on the provided recommended dose. The medication order for a patient says that the dose is to be based on 100 mg/m2. If this patient has a BSA of 0.85 m2, how much will be prepared?

Choose one answer.

a. 850 mg

b. 8.5 mg

c. 85 mg

Question 16

Calculate the following doses in mg/mL and then determine the infusion rate in mL/hr. Medication order: cefotetan 2 g Q12 hours over 30 min. Available stock: cetofetan 2 g in 50 mL

Choose one answer.

a. 40 mg/mL; 50 mL/hr

b. 40 mg/mL; 100 mL/hr

c. 200 mg/mL; 100 mL/hr

Question 17

Calculate the following. If a patient drinks 8 fl oz of 2% milk, how many grams of fat were consumed?

Choose one answer.

a. 8.4g

b. 4.8 g

c. 16 g

Question 18

Calculate the following weight-based doses based on the provided recommended dose. A patient weighs 68.64 kg and is to be dosed at 125 mg/kg. How many milligrams is this? Choose one answer.

a. 8500 mg

b. 8580 mg

c. 858 mg

Question 19

Calculate the following weight-based doses based on the provided recommended dose. A postsurgical patient is to receive 125 mg/kg per day of cephalosporin divided into six doses daily. What will each dose be for a patient weighing 87 kg?

Choose one answer.

a. 1812.5 mg

b. 1800 mg

c. 2718.75 mg

Question 20

Calculate the percentage of dextrose if 45g are added to 500 mL of sterile water. Choose one answer.

a. 90%

b. 9%

c. 0.9%

Question 21

Calculate the percentage of drug in the following drug formulations. Morphine sulfate 10 mg/2.5 mL

Choose one answer.

a. 0.4%

b. 4%

c. 4.4%

Question 22

Calculate the quantity of drug in an injectable solution. How many milligrams are in 2.8 mL of a 5 g/10 mL solution?

Choose one answer.

a. 1 mg

b. 4 mg

c. 1400 mg

Question 23

Calculate the volume of solution needed for each requested dose. How many milliliters of 1:300 solution are needed to provide a 600 mg dose?

Choose one answer.

a. 18 mL

b. 1800 mL

c. 180 mL

Question 24:

Determine the infusion rates in drops per minute for the following order. Give 60 mL over 30 minutes using a 10 drop set.

Choose one answer. a. 30 gtts/min

b. 20 gtts/min

c. 10 gtts/min

Question 25

Express the following as weight-in-weight, weight-in-volume, or volume-in-volume percentages. Express ciclopirox 8% topical solution as a weight-in-volume (w/v). Choose one answer.

a. 8 mg/100 ml

b. 8 g/100 ml

c. 80 g/ 100 ml

Question 26

How many grams of dextrose are in the following volumes of D10W (10%)2300 mL ? Choose one answer.

a. 23 g

b. 230 g

c. 2300 g

Question 27

How many grams of dextrose are in the following volumes of D5W (5%) 385 mL ? Choose one answer.

a. 192 g

b. 1.92 g

c. 19.25 g

Question 28

How many grams of NaCl are in the following volumes of 1/2NS (0.45%) 2600 mL ? Choose one answer.

a. 26 g

b. 11.7 g

c. 1.7 g

Question 29

How many grams of NaCl are in the following volumes of NS (0.9%) 250 mL ? Choose one answer.

a. 2.25 g

b. 4.25 g

c. 0.3 g

Question 30

How many milliliters are needed to provide 2.5 g of medication if the solution available is 750 mg/4 mL?

Choose one answer.

a. 13.3 mL

b. 0.3 mL

c. 1.3 mL

Question 31

How many milliliters are needed to provide 80 mg of medication if the solution available is 100 mg/5 mL?

Choose one answer.

a. 4 mL

b. 6 mL

c. 9 mL

Question 32

If 2000 mL is to be administered over 8 hours, what is the infusion rate in milliliters per hour?

Choose one answer.

a. 500 mL/hr

b. 200 mL/hr

c. 250 mL/hr

Question 33

Interpret the following prescriptions and provide the requested rates.

Medication: Solu-Cortef (hydrocortisone) 250 mg

Fluid volume: 250 mL

Time of infusion: 4 hr

How many milliliters per hour?

Choose one answer.

a. 60 mL

b. 62.5 mL

c. 65 mL

Question 34

Interpret the following prescriptions and provide the requested rates. Medication: Intropin (dopamine hydrochloride) 800 mg, Dose: 12 mcg/kg/min, Patient weight: 198 lb, Fluid volume: 500 mL. How many milliliters per hour?

Choose one answer.

a. 60.5 mL/hr

b. 20 mL/hr

c. 40.5 mL/hr

Question 35

Using the above information, how many milligrams per hour?

Choose one answer.

a. 64.8 mg/hr

b. 42.4 mg/hr

c. 75 mg/hr

Question 36

Perform the necessary calculations to answer the following. A 20% potassium chloride solution has a strength of 40 mEq in 15 mL. If you fill an order for 20 mEq, how many milliliters are needed?

Choose one answer.

a. 7.5 mL

b. 10 mL

c. 15 mL

Question 37

Perform the necessary calculations to answer the following. Bicillin CR is given as an intramuscular injection preparation. It comes as 600,000 units/mL and the dose is 1.5 million units. What is the volume to be administered?

Choose one answer.

a. 2.5 mL

b. 2 mL

c. 3.5 mL

Question 38

Prepare 2400 g of coal tar ointment 20%. You have on hand coal tar solution and ointment base. How much of each will be needed?

Choose one answer.

a. C=480 g, O=1920 g

b. C=1200 g, O=1200 g

c. C=960 g, O=1440 g

Question 39.

Prepare 30 mL of a 1:200 solution by combining a 1:10 and a 1:400 solution. How much of each solution will be needed?

Choose one answer.

a. 1:10=0.77 mL, 1:400=29.23 mL

b. 1:10=1 mL, 1:400=29 mL

c. 1:10=1.4 mL, 1:400=28.6 mL

Question 40

Prepare 500 mL of 12.5% dextrose using D10W and D20W. How much of each is needed?

Choose one answer.

a. D20 = 100 mL, D10=400 mL

b. 20%=125 mL, 10%=375 mL

c. D20=150 mL, D10=350 mL

Question 41.

Prepare 500 mL of a 15% dextrose solution using D5W and D50W. How much of each solution will be needed?

Choose one answer.

a. D50=111 mL, D5=389 mL

b. D50=100 mL, D5=400 mL

c. D50=150 mL, D5=350 mL

Question 42

Prepare 5 mL of a 5 mcg/mL dilution from a stock drug of 50 mcg/mL. How much drug and diluent are needed?

Choose one answer.

a. drug=0.5 mL dil= 4.5 mL

b. drug=1 mL dil= 4mL

c. drug=4mL dil=1mL

Question 43.

Use the alligation method to answer the following problems. Prepare 400 mL of D8W from D20W and sterile water for injection (SWFI). How much of each will be needed? (Note: water is considered to be 0% solution.)

Choose one answer.

a. D=160 mL, SW=240 mL

b. D=200 mL, SW=200 mL

c. D=230 mL, SW =170 mL

Question 44

Use the correct formula to determine the following BSA (m2) values. (Round to the hundredth place) Adult: 71 inches, 76 kg

Choose one answer.

a. 1.59 m2

b. 3.79 m2

c. 1.95 m2

Question 45

Use the correct formula to determine the following BSA (m2) values. (Round to the hundredth place) Child of normal height and weight: 34 inches, 32 lb

Choose one answer.

a. 5.8 m2

b. 0.59 m2

c. 0.35 m2

Question 46

Use the following formula to prepare 150 vaginal suppositories. How much of each ingredient will you weigh out? Progesterone 2.4 g Polythylene glycol 3350 30 g Polyethylene glycol 1000 90 g Yields 30 vaginal suppositories

Choose one answer.

a. 4.8g, 60g, 180g

b. 12g, 150g, 450g

c. 6g, 75g, 225g

Question 47

Using the alligation medial method, determine the resulting concentration for each of the following compounds. You have mixed equal parts of a 20% and a 5% benzocaine ointment. What is the resulting concentration?

Choose one answer.

a. 10%

b. 12%

c. 12.5%

Question 48

You have mixed 1 L of solution containing 15% alcohol, 500 mL of solution containing 3 % alcohol, and 300 mL of solution containing 70% alcohol. What is the resulting concentration?

Choose one answer.

a. 20.8%

b. 29.3%

c. 40.2%

Question 49

Prepare 1 L of an 80% alcohol from a 70% solution and a 100% solution. How much of each do you need to measure out?

Choose one answer.

a. 100% = 350 mL; 70% = 650 mL

b. 100% = 333 mL; 70% = 667 mL

c. 100% = 300 mL; 70% = 700 mL

Question 50

How many milligrams are in 1.3 mL of an 80mg/2mL solution?

Choose one answer.

a. 52 mg

b. 5.2 mg

c. 25 mg