Solving Problems Using
Dimensional Analysis
8th Edition
• Author(s)Gloria Pearl Craig
TEST BANK
1) Reference
Ch. 1 — Arithmetic Review — Arabic Numbers and Roman
Numerals
Question Stem
A provider prescribes a medication to be given qVIh for pain
control. The nurse must determine how many times the
medication will be administered in 24 hours. How many doses
will the patient receive in one day?
,Options
A. 2 doses
B. 4 doses
C. 6 doses
D. 8 doses
Correct Answer
B. 4 doses
Rationales
Correct Answer: VI = 6 hours. Using dimensional analysis:
24 hr÷6 hr/dose=4 doses24 \text{ hr} \div 6 \text{ hr/dose} = 4
\text{ doses}24 hr÷6 hr/dose=4 doses. The unit of hours
cancels, leaving doses per day.
A: This reflects q12h, not q6h.
C: This assumes q4h, which would increase the frequency
and could be unsafe.
D: This assumes q3h, which is twice as frequent as ordered.
Teaching Point
Roman numerals must be converted correctly before calculating
administration frequency.
Citation
Craig, G. P. (n.d.). Dosage Calculations Made Easy: Solving
Problems Using Dimensional Analysis (8th ed.). Ch. 1.
2) Reference
,Ch. 1 — Arithmetic Review — Arabic Numbers and Roman
Numerals
Question Stem
A client is prescribed a medication qVIIIh. The nurse is
preparing the medication schedule for 24 hours. How many
doses should be administered in one day?
Options
A. 2 doses
B. 3 doses
C. 4 doses
D. 6 doses
Correct Answer
B. 3 doses
Rationales
Correct Answer: VIII = 8 hours. 24 hr÷8 hr/dose=3 doses24
\text{ hr} \div 8 \text{ hr/dose} = 3 \text{
doses}24 hr÷8 hr/dose=3 doses.
A: This is q12h, not q8h.
C: This would be correct for q6h.
D: This would be correct for q4h.
Teaching Point
Convert Roman numerals before dividing the 24-hour schedule.
, Citation
Craig, G. P. (n.d.). Dosage Calculations Made Easy: Solving
Problems Using Dimensional Analysis (8th ed.). Ch. 1.
3) Reference
Ch. 1 — Arithmetic Review — Multiplying Fractions
Question Stem
A provider orders 3/4 mL of an oral medication twice daily for 4
days. The nurse needs to determine the total amount the
patient will receive over the full course. How many mL will be
administered?
Options
A. 4.5 mL
B. 6 mL
C. 6.5 mL
D. 7.5 mL
Correct Answer
B. 6 mL
Rationales
Correct Answer: 3/4 mL/dose×2 doses/day×4 days=6 mL3/4
\text{ mL/dose} \times 2 \text{ doses/day} \times 4 \text{ days}
= 6 \text{ mL}3/4 mL/dose×2 doses/day×4 days=6 mL. The units
of doses and days cancel appropriately.
A: This usually results from multiplying only by 3 days or