MED MATH & CLINICAL CALCULATIONS FINAL EXAM 2025-2026 |
100+ NURSING DOSAGE QUESTIONS WITH DETAILED
RATIONAILE100% CORRECT ALREADY GRADED A+
1) Scenario:
A nurse is preparing an IV drip for a patient who requires 25% of a 200 mL saline
solution to be infused over the first hour of treatment. The order specifies that the
remaining solution will be infused evenly over the next 3 hours. The nurse needs to
calculate how much fluid should be infused during the first hour before
programming the infusion pump.
Question: How many milliliters of the solution must the nurse administer in the
first hour?
Answer: 50 mL
Rationale:
Convert 25% to decimal → 0.25.
Multiply by total solution: 0.25 × 200 = 50 mL.
The remaining 150 mL will be distributed later, but the first-hour dose = 50
mL.
2) Scenario:
A physician orders a medication that comes in a powdered vial requiring
reconstitution. After mixing, the vial contains 36 mL of usable solution. The nurse
is instructed to divide this into doses for a patient who needs 6 mL per dose, taken
twice per day.
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Question: Using the order of operations (division followed by multiplication), how
many doses are available from the vial, and what is the total volume the patient
receives in one day?
Answer: 6 doses available; 12 mL per day.
Rationale:
First, determine number of doses: 36 ÷ 6 = 6 doses.
Daily intake = 6 mL × 2 = 12 mL/day.
Correct handling of division/multiplication ensures accuracy.
3) Scenario:
A patient is prescribed an oral solution where each ¾ teaspoon contains 15 mg of
medication. The pharmacist asks the nurse to record the decimal equivalent of the
fraction to program the automated dispensing system.
Question: Convert ¾ teaspoon to a decimal so it can be entered into the electronic
medical record.
Answer: 0.75 teaspoon.
Rationale:
Fraction conversion: 3 ÷ 4 = 0.75.
This ensures consistency in digital records and prevents dosing errors.
4) Scenario:
A nutritionist is calculating the caloric value of a patient’s lunch. The patient
consumes a sandwich that provides 8 grams of protein per serving, and the patient
eats 2 servings. Each gram of protein provides 4 calories. The nutritionist then
subtracts 10 calories because the bread was crustless and reduced in weight.
Question: Using the formula, what is the net calorie intake from protein for this
lunch?
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Answer: 54 calories.
Rationale:
Step 1: Protein intake = 8 g × 2 servings = 16 g.
Step 2: Calories from protein = 16 × 4 = 64.
Step 3: Subtract 10 calories = 64 − 10 = 54.
5) Scenario:
A hospital staff nurse works a standard 36-hour week. The staffing manager wants
to calculate how many hours this nurse will accumulate if assigned to a continuous
4-week rotation in the intensive care unit (ICU). This calculation helps determine
whether overtime rules will apply.
Question: How many total hours will the nurse work across the 4-week ICU
schedule?
Answer: 144 hours.
Rationale:
Weekly hours = 36.
Multiply by 4 weeks = 36 × 4 = 144 hours.
This is under 160 hours (typical full-time for 4 weeks), so no overtime
flagged.
6) Scenario:
A nurse records the blood pressure of five patients during morning rounds: 120,
118, 130, 115, and 125 mmHg. The nurse wants to identify the middle value
(median) to assess the “typical” reading in this group.
Question: What is the median blood pressure reading?
Answer: 120 mmHg
Rationale:
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Arrange data in ascending order: 115, 118, 120, 125, 130.
With 5 values, the 3rd number is the median.
Median = 120 mmHg.
7) Scenario:
A physician prescribes a medication dose of 0.6 liters of IV fluid. The IV bags
available are labeled in fractions of liters. The nurse must express the 0.6 liters as a
fraction in simplest form for charting purposes.
Question: Express 0.6 as a fraction in simplest form.
Answer: 3/5
Rationale:
0.6 = 6/10.
Simplify by dividing numerator and denominator by 2 → 3/5.
Final answer = 3/5 liter.
8) Scenario:
A diabetic patient is instructed to reduce their sugar intake by 15%. If the patient
normally consumes 320 grams of sugar per week, the nutritionist wants to know
the exact reduction amount to adjust the diet plan.
Question: How many grams of sugar should be reduced per week?
Answer: 48 grams
Rationale:
15% = 0.15.
Multiply: 320 × 0.15 = 48 grams.
Weekly reduction = 48 grams.