2026/2027) – Practice Problems, Formulas &
Step-by-Step Solutions | Nursing Math Mastery
SECTION 1 – ORAL & BASIC PARENTERAL (Q1-12)
Q1 Order: aspirin 750 mg PO q6h PRN pain.
Supply: 250 mg tablets.
Give: _______ tablets
Answer: 3 tablets
Rationale: 750 mg ÷ 250 mg = 3 tablets.
Q2 Order: dexamethasone 8 mg IV push now.
Supply: 10 mg/2 mL.
Give: _______ mL
Answer: 1.6 mL
Rationale: (8 mg ÷ 10 mg) × 2 mL = 0.8 × 2 = 1.6 mL.
Q3 Pediatric case:
Order: cefdinir 7 mg/kg PO q12h.
,Patient: 35 lb.
Supply: 125 mg/5 mL.
a) Single dose (mg): _______
b) Safe? (range 14-28 mg/kg/day): _______
c) Volume per dose (mL): _______ (tenth)
Answer: a) 111.4 mg, b) Yes, c) 4.5 mL
Rationale:
a) 35 lb ÷ 2.2 = 15.9 kg; 7 mg/kg × 15.9 kg = 111.3 mg ≈ 111.4 mg.
b) Daily ordered = 7 × 2 × 15.9 = 222.6 mg → 14 mg/kg/day → within range → safe.
c) (111.4 mg ÷ 125 mg) × 5 mL = 0.891 × 5 = 4.455 ≈ 4.5 mL.
Q4 Infuse: 1,500 mL NS over 12 h.
Drop factor: 20 gtt/mL.
Flow rate: _______ gtt/min (whole)
Answer: 42 gtt/min
Rationale: 1,500 mL ÷ 720 min = 2.083 mL/min; 2.083 × 20 = 41.66 ≈ 42 gtt/min.
Q5 Order: hydrochlorothiazide 25 mg PO daily.
Supply: 50 mg tablets (scored).
Give: _______ tablet
, Answer: 0.5 tablet
Rationale: 25 mg ÷ 50 mg = 0.5 tablet.
Q6 Order: liquid antacid 45 mL PO after meals.
Cup: 15 mL.
Give: _______ cupfuls
Answer: 3 cupfuls
Rationale: 45 mL ÷ 15 mL = 3 cupfuls.
Q7 Order: lactulose 30 g PO daily.
Supply: 10 g per 15 mL.
Give: _______ mL
Answer: 45 mL
Rationale: (30 g ÷ 10 g) × 15 mL = 3 × 15 = 45 mL.
Q8 Order: metformin 1,000 mg PO bid.
Supply: 500 mg tablets.
Give: _______ tablets per dose
Answer: 2 tablets
Rationale: 1,000 mg ÷ 500 mg = 2 tablets.