Master Ratios and Proportions in Pharmacy Calculations: Practice Quiz

Question 1

To make 100 mL of a 20% saline solution, how many grams of saline are required?

Accepted Answer

20 grams

Answer

1 gram

Answer

5 grams

Answer

100 grams

Question 2

Which of the following ratios is equivalent to 2:3?

Accepted Answer

4:6

Answer

6:4

Answer

3:4

Answer

4:9

Question 3

A recipe calls for 2 cups of flour to 1 cup of sugar. What is the proportion of flour to sugar in the recipe?

Accepted Answer

2:1

Answer

1:2

Answer

3:1

Answer

1:3

Question 4

A stock solution of a drug has a concentration of 20 mg/mL. To prepare 100 mL of a 5 mg/mL solution, how many milliliters (mL) of the stock solution should be used?

Accepted Answer

25 mL

Answer

10 mL

Answer

50 mL

Answer

100 mL

Question 5

The ratio of the length to the width of a rectangle is 3:2. If the width of the rectangle is 10 cm, what is its length?

Accepted Answer

15 cm

Answer

20 cm

Answer

25 cm

Answer

5 cm

Question 6

A recipe calls for 2 cups of flour for every 3 cups of sugar. If a baker wants to make a batch that uses 6 cups of sugar, how many cups of flour should they use?

Accepted Answer

4 cups

Answer

6 cups

Answer

2 cups

Question 7

The ratio of the circumference of a circle to its diameter is approximately:

Accepted Answer

π

Answer

2

Answer

4π

Answer

π/2

Question 8

A scale drawing of a building has a scale of 1:100. If the height of the building in the scale drawing is 15 cm, what is the actual height of the building?

Accepted Answer

1500 cm

Answer

150 cm

Answer

15000 cm

Answer

15 cm

Question 9

A patient's weight is 60 kg. If the recommended dosage of a medication is 100 mg per kg of body weight, what is the total dosage for this patient?

Accepted Answer

6000 mg

Answer

1000 mg

Answer

600 mg

Answer

12000 mg

Question 10

A patient is prescribed 100 mg of a medication to be taken every 8 hours. What is the ratio of the medication dosage to the time interval?

Accepted Answer

100 mg : 8 hr

Answer

8 : 100

Answer

8 hr : 100 mg

Question 11

A patient is to receive a continuous intravenous (IV) infusion of a medication at a rate of 100 mL per hour. The medication is available in a 500 mL bag. How many hours will the bag last?

Accepted Answer

5 hours

Answer

6 hours

Answer

4 hours

Answer

8 hours

Question 12

A patient's medication order is written as follows: Acetaminophen 500 mg p.o. q6h prn. What is the dosing frequency of this medication?

Accepted Answer

Every 6 hours as needed

Answer

Every 4 hours as needed

Answer

Every 12 hours as needed

Answer

Every 8 hours as needed

Question 13

A recipe calls for 1 cup of flour to 2 cups of sugar. If you want to double the recipe, how many cups of sugar will you need?

Accepted Answer

4

Answer

2

Answer

6

Question 14

Which of the following represents a direct proportion?

Accepted Answer

As speed increases, distance traveled increases.

Answer

As weight increases, height decreases.

Answer

As temperature decreases, volume increases.

Answer

As time passes, age decreases.

Question 15

A solution is prepared by mixing 20 mL of concentrated acid with 80 mL of water. What is the ratio of concentrated acid to water in the solution?

Accepted Answer

1:4

Answer

1:5

Answer

5:1

Answer

4:1

Question 16

Which of the following is NOT a characteristic of a valid proportion?

Accepted Answer

The cross-products are not equal.

Answer

The denominators are equal.

Answer

The ratios are equivalent.

Answer

The numerators are equal.

Question 17

A prescription calls for 250 mg of a drug in 5 mL of solution. What is the ratio of drug to solution?

Accepted Answer

1:20

Answer

20:1

Answer

250:5

Answer

5:250

Question 18

If a pharmacy technician needs to prepare 100 mL of a 2% solution, how many grams of the drug are needed?

Accepted Answer

2 grams

Answer

100 grams

Answer

20 grams

Answer

0.2 grams

Question 19

A doctor prescribes 500 mg of a medication to be administered three times a day. How many milligrams of the medication will the patient receive in a 24-hour period?

Accepted Answer

1500 mg

Answer

1000 mg

Answer

500 mg

Question 20

A 1:10 dilution of a stock solution means:

Accepted Answer

1 part of stock solution to 9 parts of diluent

Answer

10 parts of stock solution to 1 part of diluent

Answer

1 part of stock solution to 10 parts of diluent

Answer

1 part of diluent to 10 parts of stock solution

Question 21

You have a 10% solution of a drug and need to prepare 50 mL of a 2% solution. How much of the 10% solution will you need?

Accepted Answer

10 mL

Answer

50 mL

Answer

25 mL

Answer

5 mL

Question 22

A patient needs to take 250 mg of a medication twice a day. The medication comes in tablets of 100 mg. How many tablets should the patient take per day?

Accepted Answer

5 tablets

Answer

2 tablets

Answer

3 tablets

Answer

4 tablets

Question 23

If a 100 mL vial of a drug contains 50 mg of the drug, what is the concentration of the drug in mg/mL?

Accepted Answer

0.5 mg/mL

Answer

2 mg/mL

Answer

5 mg/mL

Answer

50 mg/mL

Question 24

A pharmacy technician needs to prepare 250 mL of a 0.5% solution of a drug. How many grams of the drug are needed?

Accepted Answer

1.25 grams

Answer

2.5 grams

Answer

0.125 grams

Question 25

A doctor prescribes 10 mg of a medication per kilogram of body weight. A patient weighs 75 kg. How many milligrams of the medication should the patient receive?

Accepted Answer

750 mg

Answer

1000 mg

Answer

7.5 mg

Answer

100 mg

Question 26

A patient needs to take 10 mL of a medication three times a day. How many milliliters of the medication will the patient take in a week?

Accepted Answer

210 mL

Answer

30 mL

Answer

70 mL