Dimensional Analysis for Pharmacy Technicians: Master Unit Conversions

Question 1

The fundamental principle of dimensional analysis requires that:

Accepted Answer

Units of measurement must match on both sides of an equation.

Answer

Dimensional analysis is limited to converting units within a single measurement system.

Answer

Dimensional analysis is solely used for complex pharmacy calculations.

Question 2

A prescription requires 125 mg of a medication that is available as a solution of 50 mg/mL. How many milliliters of the solution should be administered?

Accepted Answer

2.5 mL

Answer

12.5 mL

Answer

5 mL

Question 3

A patient is prescribed 1500 mg of medication every 8 hours. If the medication is available in 250 mg tablets, how many tablets should the patient take at each dose?

Accepted Answer

6 tablets

Answer

3 tablets

Answer

9 tablets

Answer

12 tablets

Question 4

A medication is prescribed at a dosage of 50 mg/kg/day. If a patient weighs 120 kg, how many milligrams of the medication should be administered each day?

Accepted Answer

6000 mg

Answer

1200 mg

Answer

500 mg

Answer

2400 mg

Question 5

Which unit is a fundamental unit in the International System of Units (SI)?

Accepted Answer

Meter

Answer

Pound

Answer

Gallon

Answer

Fahrenheit

Question 6

A prescription requires 120 mg of a medication. The medication is available in 40 mg tablets. How many tablets should be dispensed?

Accepted Answer

3 tablets

Answer

1 tablet

Answer

2 tablets

Answer

4 tablets

Question 7

A patient needs 500 mg of a drug, and the available solution contains 250 mg/5 mL. How many milliliters should be administered?

Accepted Answer

10 mL

Answer

5 mL

Answer

20 mL

Answer

25 mL

Question 8

A child's dose of medication is 2 mg/kg/day, divided into two doses. If the child weighs 33 lbs, how many milligrams should be given per dose?

Accepted Answer

15 mg

Answer

7.5 mg

Answer

30 mg

Answer

60 mg

Question 9

An IV solution needs to be administered at a rate of 50 mL/hour. The drop factor is 15 gtt/mL. What is the flow rate in drops per minute?

Accepted Answer

12.5 gtt/min

Answer

50 gtt/min

Answer

25 gtt/min

Answer

75 gtt/min

Question 10

A prescription requires a 2% solution of a medication. The pharmacy stocks a 5% solution. How many milliliters of the 5% solution are needed to prepare 250 mL of the 2% solution?

Accepted Answer

100 mL

Answer

150 mL

Answer

50 mL

Answer

200 mL

Question 11

A patient needs to receive 1.5 L of saline solution over 12 hours. What should be the infusion rate in mL/hour?

Accepted Answer

125 mL/hour

Answer

175 mL/hour

Answer

100 mL/hour

Answer

150 mL/hour

Question 12

A medication is available in a strength of 25 mg/5 mL.  A patient needs to take 75 mg per dose.  How many teaspoons of the medication should the patient take?

Accepted Answer

3 teaspoons

Answer

1 teaspoon

Answer

4 teaspoons

Answer

2 teaspoons

Question 13

A medication is to be given at 0.05 mg/kg/minute. The patient weighs 176 lbs. What is the total dosage the patient should receive in mg per hour?

Accepted Answer

240 mg/hour

Answer

600 mg/hour

Answer

480 mg/hour

Answer

120 mg/hour

Question 14

You need to prepare 500 mL of a 1:1000 solution. You have a stock solution of 1:10. What volume of the stock solution will you need?

Accepted Answer

5 mL

Answer

25 mL

Answer

50 mL

Answer

10 mL

Question 15

A prescription is written for a 10-day supply of a medication to be taken twice daily. If each dose is 250 mg, how many grams of the medication should be dispensed?

Accepted Answer

5 grams

Answer

2.5 grams

Answer

10 grams

Answer

20 grams