Medical Dosage Calculations: A Dimensional Analysis Approach, Updated
Edition, 11th Edition
QUESTION BANK
Giangrasso, Shrimpton & Olsen | Complete Review
1,200 Original Questions • Correct Answer After Every Question • Detailed Teaching Rationale
2026/2027 Updated Study Edition
Page 1
,Coverage
• Chapter 1: Review of Arithmetic for Dosage Calculations — 100 questions
• Chapter 2: Safe and Accurate Medication Administration — 100 questions
• Chapter 3: Dimensional Analysis — 100 questions
• Chapter 4: The Household and Metric Systems — 100 questions
• Chapter 5: Converting from One System of Measurement to Another — 100 questions
• Chapter 6: Oral Medications — 100 questions
• Chapter 7: Syringes — 100 questions
• Chapter 8: Solutions — 100 questions
• Chapter 9: Parenteral Medications — 100 questions
• Chapter 10: Flow Rates and Durations of Enteral and Intravenous Infusions — 100 questions
• Chapter 11: Flow Rates and Dosage Rates for Intravenous Medications — 100 questions
• Chapter 12: Pediatric Dosages — 100 questions
Page 2
,Chapter 1: Review of Arithmetic for Dosage Calculations
1. Calculate 1/2 + 1/3. Give the answer in simplest form.
A. 2/3
B. 5/6
C. 1/2
D. 3/4
Answer: B — 5/6
Rationale: Convert to compatible fractions or multiply numerators and denominators as required. The
exact result simplifies to 5/6; reducing the fraction removes common factors and gives the safest form
for later dosage work. Calculation reasoning: keep the units visible through the setup so incompatible
units are converted before arithmetic and the unwanted units cancel. Round only at the final step unless
the problem or institutional policy specifies otherwise, then perform a reasonableness check against the
ordered dose, available concentration, route, and clinical context. Why the distractors are incorrect:
alternative numeric choices commonly result from reversing desired and available quantities, omitting a
conversion, multiplying instead of dividing, using the wrong time unit, or rounding too early.
2. Solve the proportion 1:5 = x:20. What is x?
A. 20
B. 8
C. 12
D. 4
Answer: D — 4
Rationale: Write the proportion as 1/5 = x/20 and cross-multiply. 5x = 1×20 = 20; therefore x = 20/5 =
4. Keeping corresponding units in the same position is essential in dosage proportions. Clinical
reasoning: first identify exactly what the stem is testing—such as drug class, mechanism, indication,
expected effect, adverse reaction, contraindication, monitoring priority, or patient teaching—then select
the option that answers that dimension most directly. Safety connection: the correct response links
pharmacology knowledge to prevention of medication error, recognition of toxicity or deterioration, and
appropriate follow-up. Why the distractors are incorrect: some alternatives may describe a different
property of the drug or class, while others conflict with the requested clinical priority or with safe
medication-use principles.
3. Calculate 66.53 × 3.75. Round only if needed to three decimal places.
A. 248.488
B. 249.488
C. 250.488
Page 3
, D. 2494.875
Answer: B — 249.488
Rationale: Perform the multiplication while preserving place value. The unrounded result is
249.487500; after appropriate rounding, the answer is 249.488. Premature rounding can create
medication-dose error. Calculation reasoning: keep the units visible through the setup so incompatible
units are converted before arithmetic and the unwanted units cancel. Round only at the final step unless
the problem or institutional policy specifies otherwise, then perform a reasonableness check against the
ordered dose, available concentration, route, and clinical context. Why the distractors are incorrect:
alternative numeric choices commonly result from reversing desired and available quantities, omitting a
conversion, multiplying instead of dividing, using the wrong time unit, or rounding too early.
4. Solve the proportion 4:2 = x:6. What is x?
A. 9
B. 1.5
C. 12
D. 15
Answer: C — 12
Rationale: Write the proportion as 4/2 = x/6 and cross-multiply. 2x = 4×6 = 24; therefore x = 24/2 = 12.
Keeping corresponding units in the same position is essential in dosage proportions. Clinical reasoning:
first identify exactly what the stem is testing—such as drug class, mechanism, indication, expected
effect, adverse reaction, contraindication, monitoring priority, or patient teaching—then select the option
that answers that dimension most directly. Safety connection: the correct response links pharmacology
knowledge to prevention of medication error, recognition of toxicity or deterioration, and appropriate
follow-up. Why the distractors are incorrect: some alternatives may describe a different property of the
drug or class, while others conflict with the requested clinical priority or with safe medication-use
principles.
5. Calculate 47.1 + 3.54. Round only if needed to three decimal places.
A. 50.64
B. 506.4
C. 51.64
D. 49.64
Answer: A — 50.64
Rationale: Perform the addition while preserving place value. The unrounded result is 50.640000; after
appropriate rounding, the answer is 50.64. Premature rounding can create medication-dose error.
Calculation reasoning: keep the units visible through the setup so incompatible units are converted
Page 4
Edition, 11th Edition
QUESTION BANK
Giangrasso, Shrimpton & Olsen | Complete Review
1,200 Original Questions • Correct Answer After Every Question • Detailed Teaching Rationale
2026/2027 Updated Study Edition
Page 1
,Coverage
• Chapter 1: Review of Arithmetic for Dosage Calculations — 100 questions
• Chapter 2: Safe and Accurate Medication Administration — 100 questions
• Chapter 3: Dimensional Analysis — 100 questions
• Chapter 4: The Household and Metric Systems — 100 questions
• Chapter 5: Converting from One System of Measurement to Another — 100 questions
• Chapter 6: Oral Medications — 100 questions
• Chapter 7: Syringes — 100 questions
• Chapter 8: Solutions — 100 questions
• Chapter 9: Parenteral Medications — 100 questions
• Chapter 10: Flow Rates and Durations of Enteral and Intravenous Infusions — 100 questions
• Chapter 11: Flow Rates and Dosage Rates for Intravenous Medications — 100 questions
• Chapter 12: Pediatric Dosages — 100 questions
Page 2
,Chapter 1: Review of Arithmetic for Dosage Calculations
1. Calculate 1/2 + 1/3. Give the answer in simplest form.
A. 2/3
B. 5/6
C. 1/2
D. 3/4
Answer: B — 5/6
Rationale: Convert to compatible fractions or multiply numerators and denominators as required. The
exact result simplifies to 5/6; reducing the fraction removes common factors and gives the safest form
for later dosage work. Calculation reasoning: keep the units visible through the setup so incompatible
units are converted before arithmetic and the unwanted units cancel. Round only at the final step unless
the problem or institutional policy specifies otherwise, then perform a reasonableness check against the
ordered dose, available concentration, route, and clinical context. Why the distractors are incorrect:
alternative numeric choices commonly result from reversing desired and available quantities, omitting a
conversion, multiplying instead of dividing, using the wrong time unit, or rounding too early.
2. Solve the proportion 1:5 = x:20. What is x?
A. 20
B. 8
C. 12
D. 4
Answer: D — 4
Rationale: Write the proportion as 1/5 = x/20 and cross-multiply. 5x = 1×20 = 20; therefore x = 20/5 =
4. Keeping corresponding units in the same position is essential in dosage proportions. Clinical
reasoning: first identify exactly what the stem is testing—such as drug class, mechanism, indication,
expected effect, adverse reaction, contraindication, monitoring priority, or patient teaching—then select
the option that answers that dimension most directly. Safety connection: the correct response links
pharmacology knowledge to prevention of medication error, recognition of toxicity or deterioration, and
appropriate follow-up. Why the distractors are incorrect: some alternatives may describe a different
property of the drug or class, while others conflict with the requested clinical priority or with safe
medication-use principles.
3. Calculate 66.53 × 3.75. Round only if needed to three decimal places.
A. 248.488
B. 249.488
C. 250.488
Page 3
, D. 2494.875
Answer: B — 249.488
Rationale: Perform the multiplication while preserving place value. The unrounded result is
249.487500; after appropriate rounding, the answer is 249.488. Premature rounding can create
medication-dose error. Calculation reasoning: keep the units visible through the setup so incompatible
units are converted before arithmetic and the unwanted units cancel. Round only at the final step unless
the problem or institutional policy specifies otherwise, then perform a reasonableness check against the
ordered dose, available concentration, route, and clinical context. Why the distractors are incorrect:
alternative numeric choices commonly result from reversing desired and available quantities, omitting a
conversion, multiplying instead of dividing, using the wrong time unit, or rounding too early.
4. Solve the proportion 4:2 = x:6. What is x?
A. 9
B. 1.5
C. 12
D. 15
Answer: C — 12
Rationale: Write the proportion as 4/2 = x/6 and cross-multiply. 2x = 4×6 = 24; therefore x = 24/2 = 12.
Keeping corresponding units in the same position is essential in dosage proportions. Clinical reasoning:
first identify exactly what the stem is testing—such as drug class, mechanism, indication, expected
effect, adverse reaction, contraindication, monitoring priority, or patient teaching—then select the option
that answers that dimension most directly. Safety connection: the correct response links pharmacology
knowledge to prevention of medication error, recognition of toxicity or deterioration, and appropriate
follow-up. Why the distractors are incorrect: some alternatives may describe a different property of the
drug or class, while others conflict with the requested clinical priority or with safe medication-use
principles.
5. Calculate 47.1 + 3.54. Round only if needed to three decimal places.
A. 50.64
B. 506.4
C. 51.64
D. 49.64
Answer: A — 50.64
Rationale: Perform the addition while preserving place value. The unrounded result is 50.640000; after
appropriate rounding, the answer is 50.64. Premature rounding can create medication-dose error.
Calculation reasoning: keep the units visible through the setup so incompatible units are converted
Page 4
