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1Formulas and methods
Pediatric nursing
Method
Note the child’s age first: it sets the normal vital signs, the milestones and the right pain scale.
Assess airway, breathing and circulation, remembering that children compensate and then deteriorate fast.
Match the action to the development stage and involve the family.
Check that the answer is safe for a child: weight-based, no aspirin in viral illness, no codeine under 12.
Pediatric & critical-care dosing
Daily dose
mg/day = mg/kg/day × weight (kg)
Doses per day
number = 24 h / dosing interval (h)
Pounds to kilograms
kg = lb / 2.2
Infusion concentration
units/mL = units in bag / bag volume
Pump rate
mL/h = dose per hour / concentration
Titrated drip
mL/h = mcg/kg/min × kg × 60 / (mcg/mL)
Dose from pump rate
mcg/kg/min = mL/h × (mcg/mL) / (60 × kg)
Units
1 mg = 1000 mcg
IV fluids & fluid balance
Holliday–Segar per hour
4 mL/kg (first 10 kg) + 2 mL/kg (next 10 kg) + 1 mL/kg (each kg above 20)
Holliday–Segar per day
100 / 50 / 20 mL/kg for the same bands
Fluid balance
intake − output
Ice chips
count as half their volume
Urine output
mL/kg/h = mL / (kg × h)
Infusion time
time (h) = volume left (mL) / rate (mL/h)
Volume infused
mL = rate × time
2Practice problems
1.Pediatric nursingMedium
A 16-year-old starts an SSRI antidepressant. What is especially important to monitor in the first weeks?
AA sudden rise in blood glucose
BWeight gain of more than 10 kg in the first month
CA drop in the platelet count
DWorsening mood or new suicidal thoughts
2.Pediatric nursingHard
A 10-year-old with suspected appendicitis has had severe abdominal pain, but it suddenly gets much better. What may this mean?
AIt is a normal change that needs no follow-up
BThe pain medication has cured the problem
CThe appendicitis has resolved and the child can go home
DThe appendix may have perforated; report it immediately
3.Pediatric & critical-care dosingMedium
Practice exercise (made-up values, not clinical guidance). An infusion of 100 units of regular insulin in 250 mL runs at 12 mL/h. How many units per hour D does the patient receive?
100 units/250 mL12 mL/h
D = units/h
4.Pediatric & critical-care dosingHard
Practice exercise (made-up values, not clinical guidance). A bag contains dopamine 800 mg in 500 mL. The order is 4 mcg/kg/min for a patient who weighs 83 kg. At what rate R do you set the pump, in mL/h? Round to one decimal place.
800 mg/500 mL4 mcg/kg/min83 kg
R = mL/h
5.IV fluids & fluid balanceMedium
Practice exercise (made-up values, not clinical guidance). The record shows a patient's intake and output for one 12-hour shift. The patient weighs 53 kg. Find the average urine output U in mL/kg/h. Round to two decimal places.
Practice exercise (made-up values, not clinical guidance). A 1000 mL infusion starts at 12:00 at 125 mL/h. After 3 hours the rate is changed to 60 mL/h and is not changed again. How many hours t after the start will the bag be empty? Round to one decimal place.
1000 mL125 mL/h · 3 h60 mL/h
t = h
3Solutions
1.Pediatric nursing
Answer: D · Worsening mood or new suicidal thoughts
Why this is the answer
Antidepressants may be linked to increased suicidal thinking in some young people, especially early in treatment or after dose changes. Close follow-up, safety planning and involving the family are advised.
Answer
D · Worsening mood or new suicidal thoughts
2.Pediatric nursing
Answer: D · The appendix may have perforated; report it immediately
Why this is the answer
Sudden relief of pain in appendicitis can indicate perforation, which is followed by peritonitis with worsening pain, fever and rigidity. It needs urgent reporting.
Answer
D · The appendix may have perforated; report it immediately
3.Pediatric & critical-care dosing
Answer: D = 4.8 units/h
Heparin and insulin infusions: concentration = units in the bag/bag volume (units/mL). Pump rate (mL/h) = units per hour/concentration, and units per hour = mL/h × concentration. For a weight-based order, units/h = units/kg/h × weight first. A bolus volume = units needed/vial strength. The numbers are for practice only; at the bedside always follow local protocols and have high-risk doses double-checked.
Concentration
100/250 = 0.4 units/mL
Units per hour
D = 12·0.4 = 4.8 units/h
Answer
D = 4.8 units/h
4.Pediatric & critical-care dosing
Answer: R = 12.5 mL/h
Titrated drips: first find the concentration in mcg/mL (mg × 1000/mL). For a weight-based order, mcg/min = mcg/kg/min × weight. Then mL/h = mcg/min × 60/concentration. Working backwards, mcg/kg/min = mL/h × concentration/(60 × weight). The numbers are for practice only; at the bedside always follow local protocols and have high-risk doses double-checked.
Concentration
800 mg = 800 000 mcg
800 000/500 = 1600 mcg/mL
Dose per minute and per hour
4·83 = 332 mcg/min
332·60 = 19920 mcg/h
Pump rate
R = 19920/1600 = 12.45 ≈ 12.5 mL/h
Answer
R = 12.5 mL/h
5.IV fluids & fluid balance
Answer: U = 1.97 mL/kg/h
Intake and output: intake counts everything that goes in (oral fluids, IV infusions, IV medications and flushes, tube feeds); ice chips count as half their volume. Output counts urine, drains, vomit and other losses. Balance = total intake − total output; a negative balance is a net loss. The numbers are for practice only; at the bedside always follow local protocols and have high-risk doses double-checked.
Total urine
200 + 250 + 400 + 400 = 1250 mL
Per kilogram per hour
U = 1250/(53·12) = 1.965 ≈ 1.97 mL/kg/h
Answer
U = 1.97 mL/kg/h
6.IV fluids & fluid balance
Answer: t = 13.4 h
Infusion time: time (h) = volume to infuse (mL)/rate (mL/h); use the volume still left in the bag, not the bag size. Volume infused = rate × time. Convert decimal hours to hours and minutes with the fraction × 60 (0.5 h = 30 min, not 50 min). The numbers are for practice only; at the bedside always follow local protocols and have high-risk doses double-checked.
First part
125·3 = 375 mL
1000 − 375 = 625 mL left
Second part
625/60 = 10.42 h
Total time
t = 3 + 10.42 = 13.42 ≈ 13.4 h
Answer
t = 13.4 h
That is about 13 h 25 min, so the bag runs out at about 01:25.