Pharmacy Tech Math Practice

How is 34 written in roman numerals?

• XXXIIII

• XXLIV

• XXXIL

• XXXIV

Convert this roman numeral to a number: LII

• 52

• 12

• 102

• 110

A 30 mL dose of nighttime cough suppressant contains 12.5 mg of doxylamine succinate. How many milligrams of doxylamine succinate are in the entire 354 mL bottle?

• 240

• 128.32

• 375

• 147.5

The pharmacy technician can reconstitute a 100 mL bottle of Amoxycillin in 50 seconds. How many of these bottles can the technician reconstitute in 30 minutes?

• 32

• 34

• 36

• 38

Answer explanation

This is another proportion

problem.

Note that times are given in

both seconds and minutes.

You need to choose one or

the other. We will use seconds,

so the first step is to convert 30 min to sec

30 min= 60 sec/ 1 min

=1800 sec

Then set up the proportion:

1 bottle/50 sec = x bottl/1800 sec

Then cross multiply :

50X=(1 X 1800)

X=36

The pharmacy recieves a controlled substance order from their wholesaler. There are a total of 435 pills. Of this total, 17% are C2, 19% are C3, 20% are C4, and 44% are C5. How many C3 pills were in the order?

• 74

• 87

• 19

• 83

Answer explanation

There are 435 pills, and 19% are C3

o find the number of C3 pills, multiply the total by 0.19:

435×0.19=82.65435×0.19=82.65

his can be rounded to 83.

Of all the prescriptions received at the pharmacy last Tuesday, 892 were refills. The remainder were new prescriptions, with 168 from patient drop-offs, 183 coming in electronically, and 69 coming in by phone. What percentage of the total prescriptions received were new drop-offs?

• 14%

• 52.5%

• 12.8%

• 16.8%

Answer explanation

First calculate the total

prescriptions received: 892+168+183+69=1,312

Then take the number of new drop-off prescriptions (168) and divide it by the total number:

168÷1,312=0.128

To convert a decimal to a percentage, multiply by 100:

0.128×100=12.8%

A patient comes to the pharmacy counter with a prescription for Amoxicillin 250mg/5mL and the directions indicate 1¼ tsp po bid x 10d. What is the total quantity needed for dispensing?

• 125 ml

• 150 ml

• 187.5 ml

• 200 ml

Answer explanation

Recall that 1 teaspoon equals 5 mL. So 1¼ teaspoons equals 6.25 mL. Since it is twice a day (bid) for 10 days you must calculate:

6.25×2×10=125 mL

What volume of a drug for injection 100mg/45mL should be used for 250mg?

• 45 ml

• 100 ml

• 112.5 ml

• 250 ml

Answer explanation

To solve this type of problem you should setup a proportion:

100 mg/45 ml = 250 mg/x ml

Then you can cross multiply:

100(x)=(45)(250)

100x=11,250

X=

112.5 ml

The pharmacist is preparing 200 mL of a famotidine suspension containing 75mg/5mL. How many 20 mg tablets of famotidine will be needed?

• 3,000

• 40

• 150

• 400

Answer explanation

This is another proportion problem. First you must figure out how many milligrams of famotidine will be needed:

75 mg/5 ml= x mg/200 ml

Cross multiply:5(x)=(75)(200)5(x)=(75)(200)

5x=15,000

x=3000 mg

Since there are 3,000 milligrams needed, you can divide this by 20 to find out how many 20 mg tablets are needed:

3,000÷20=150

You need 800 mL of 10% dextrose solution. How much of your 50% and 5% dextrose solution will you need to mix?

• Mix 89 mL of the 50% and 711 mL of the 5%.

• Mix 122 mL of the 50% and 678 mL of the 5%.

• Mix 111 mL of the 50% and 889 mL of the 5%.

• Mix 100 mL of the 50% and 700 mL of the 5%.

Answer explanation

Solve this problem using the tic tac toe method for Aleegations and follow the steps in SAMD