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MATHEMATICS SECTION
Question 1 – Dosage Calculation
A physician orders 450 mg of a medication that is available in a
concentration of 75 mg per 2.5 mL. How many milliliters should the nurse
administer?
A) 12 mL
B) 15 mL
C) 18 mL
D) 20 mL
Correct Answer: B
Rationale: Using dimensional analysis: 450 mg × (2.5 mL / 75 mg) = 15
mL. The medication concentration provides the conversion factor needed
to determine the required volume.
,Question 2 – Ratio and Proportion
A solution requires a 5:2 ratio of sterile water to medication. If the
pharmacy prepares 490 mL of the final solution, how many milliliters of
sterile water are needed?
A) 140 mL
B) 280 mL
C) 350 mL
D) 400 mL
Correct Answer: C
Rationale: The ratio 5:2 means 5 parts water and 2 parts medication for 7
total parts. Water needed = (5/7) × 490 mL = 350 mL.
Question 3 – Temperature Conversion
A patient’s temperature is 38.4°C. What is this temperature in degrees
Fahrenheit?
A) 99.1°F
B) 100.2°F
C) 101.1°F
D) 102.5°F
Correct Answer: C
,Rationale: Using the conversion formula °F = (°C × 9/5) + 32, (38.4 × 1.8)
+ 32 = 69.12 + 32 = 101.12°F, which rounds to 101.1°F.
Question 4 – IV Infusion Rate
A patient is to receive 1,200 mL of IV fluids over 8 hours. The
administration set delivers 15 drops per milliliter. What is the required flow
rate in drops per minute?
A) 25 drops/min
B) 30 drops/min
C) 35 drops/min
D) 37.5 drops/min
Correct Answer: D
Rationale: Total drops = 1,200 mL × 15 drops/mL = 18,000 drops. Total
minutes = 8 hours × 60 minutes = 480 minutes. Flow rate = 18,
= 37.5 drops/min.
Question 5 – Weight Conversion
A patient weighs 198 pounds. The physician requests the weight in
kilograms, rounded to the nearest tenth. (Use 1 kg = 2.2 lb)
A) 85.0 kg
B) 88.2 kg
C) 90.0 kg
D) 92.5 kg
, Correct Answer: C
Rationale: Weight in kg = 198 lb ÷ 2.2 kg/lb = 90.0 kg. Dividing by 2.2
directly yields the correct kilogram weight.
Question 6 – Medication Calculation
A patient requires 1.5 mg of a medication per kilogram of body weight.
The patient weighs 72 kg. The medication is available as 4 mg per 2 mL.
How many milliliters should be administered?
A) 27 mL
B) 36 mL
C) 45 mL
D) 54 mL
Correct Answer: D
Rationale: Total dose = 1.5 mg/kg × 72 kg = 108 mg. Volume = 108 mg ×
(2 mL / 4 mg) = 54 mL.
Question 7 – Fluid Intake Calculation
A patient is instructed to drink 2,000 mL of fluid daily. By noon, the patient
has consumed 3 cups of water, 240 mL of juice, and 120 mL of broth. If 1
cup = 240 mL, how many additional milliliters must the patient consume
to meet the daily goal?