# PTCB Calculations Only Exam

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Has 10 Multiple Chopise questions. Only Calculations!

• 1.

### You are filling a presciption that reads: Amoxicillin 125 mg/5 ml, Sig 1 tsp t.i.d Dispense 150 ml. How many ml should the patient take each day?

• A.

5 ml

• B.

10 ml

• C.

15 ml

• D.

20 ml

C. 15 ml
Explanation
The prescription states that the patient should take 1 tsp (teaspoon) three times a day. The medication concentration is 125 mg/5 ml, which means that there are 125 mg of Amoxicillin in every 5 ml of liquid. Since the patient needs to take 15 ml each day (1 tsp three times a day), the correct answer is 15 ml.

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• 2.

### A compounded prescription calls for 600 gm of white petrolatum. How many 1 lb jars should you obtain so there is enough to prepare this presciption?

• A.

1 jar

• B.

2 jars

• C.

3 jars

• D.

4 jars

B. 2 jars
Explanation
To prepare a compounded prescription that calls for 600 gm of white petrolatum, you would need to obtain 2 jars of 1 lb each. Since 1 lb is equal to 454 gm, two 1 lb jars would provide a total of 908 gm, which is more than enough to prepare the prescription.

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• 3.

### Tylenol #3 has 30 mg of codeine. How many grains of codeine are in each table of Tylenol #3?

• A.

1/2 grain

• B.

1 grain

• C.

2 grans

• D.

3 grans

A. 1/2 grain
Explanation
Each tablet of Tylenol #3 contains 1/2 grain of codeine.

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• 4.

### You are entering a presciption for an albuterol inhaler that delivers 90 mcg per actuation. If each container delivers 200 actuations and each dose is 2 acttuations, how many mg are deliver in each dose

• A.

180 mg

• B.

90 mg

• C.

0.18 mg

• D.

0.09 mg

C. 0.18 mg
Explanation
Each actuation of the albuterol inhaler delivers 90 mcg. Since each dose consists of 2 actuations, the total amount delivered in each dose would be 90 mcg x 2 = 180 mcg. To convert mcg to mg, we divide by 1000. Therefore, each dose delivers 180 mcg / 1000 = 0.18 mg.

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• 5.

### What is the days supply for metronidazole vaginal gel 70 g, Sig 5 g b.i.d?

• A.

3 days

• B.

7 days

• C.

5 days

• D.

10 days

B. 7 days
Explanation
The days supply for metronidazole vaginal gel 70 g, Sig 5 g b.i.d would be 7 days. This is because the patient is instructed to use 5 g of the gel twice daily, which means they would use a total of 10 g per day. With a 70 g supply, the gel would last for 7 days.

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• 6.

### The dose of a drug is 250 mcg per kg of body weight. What dose should be given to a child that weights 55 lb?

• A.

6.25 mcg

• B.

12.5 mg

• C.

6.25 mg

• D.

12.5 mcg

C. 6.25 mg
Explanation
To convert the weight of the child from pounds to kilograms, we divide 55 lb by 2.2 (since 1 kg is equal to 2.2 lb). This gives us approximately 25 kg.

Next, we multiply the weight of the child (25 kg) by the dose of the drug (250 mcg/kg). This gives us 6,250 mcg.

Since the question asks for the dose in milligrams, we divide 6,250 mcg by 1,000 to convert it to milligrams. This gives us 6.25 mg.

Therefore, the correct dose to be given to the child is 6.25 mg.

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• 7.

### A physician has ordered 15 ml of Brand X antiacid Suspension to be taken q.i.d. How many days will a 12 oz. bottle last?

• A.

12 days

• B.

10 days

• C.

3 days

• D.

6 days

D. 6 days
Explanation
First, let's convert the volume of the bottle from ounces to milliliters.
12 ounces * 29.5735 (conversion factor from ounces to milliliters) ≈ 355 ml
Now, let's find out how many doses are in a 12 oz. bottle:
1 dose = 15 ml
So, the number of doses in a 12 oz. bottle is:
355 ml / 15 ml ≈ 23.67 doses
Since the physician has ordered the medication to be taken q.i.d. (four times a day), the bottle will last:
23.67 doses / 4 doses per day ≈ 5.92 days
Rounding down, the bottle will last approximately 6 days.
Therefore, the correct answer is: 6 days.

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• 8.

### How much sodium Chloride is in 25 ml of normal saline?

• A.

225 g

• B.

225 mcg

• C.

225 mg

• D.

2.25g

C. 225 mg
Explanation
Normal saline is a solution of sodium chloride (NaCl) in water. The concentration of sodium chloride in normal saline is typically 0.9%. Therefore, in 25 ml of normal saline, there would be 0.9% of sodium chloride. To calculate the amount of sodium chloride in 25 ml, we can multiply the volume (25 ml) by the concentration (0.9%). This gives us 0.9% of 25 ml, which is equal to 0.9/100 * 25 ml = 0.225 g. Since the question asks for the amount in milligrams, we convert grams to milligrams by multiplying by 1000. Therefore, the correct answer is 225 mg.

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• 9.

### A patient is to receive 100 mg/kg/day of ampicillin. What is the total daily dose for a patient that weighs 40 lb?

• A.

182 mg

• B.

1.8 g

• C.

18.2 g

• D.

0.182 g

B. 1.8 g
Explanation
To calculate the total daily dose of ampicillin for the patient, we need to convert their weight from pounds to kilograms. Since 1 lb is approximately equal to 0.45 kg, the patient's weight is 40 lb x 0.45 kg/lb = 18 kg.

Next, we multiply the patient's weight by the prescribed dose of 100 mg/kg/day: 18 kg x 100 mg/kg/day = 1800 mg/day.

Since 1 g is equal to 1000 mg, the total daily dose is 1800 mg/day รท 1000 mg/g = 1.8 g. Therefore, the correct answer is 1.8 g.

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• 10.

### An IV is set to deliver 30 drops/min. What is the infusion rate in ml/hr if there are 15 drops/ml?

• A.

30ml/hr

• B.

40 ml/hr

• C.

120 ml/hr

• D.

270ml/hr

C. 120 ml/hr

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