Morning Rounds \u00b7 Clinical Numericals \u00b7 Round 07<\/title>\n<link href=\"https:\/\/fonts.googleapis.com\/css2?family=Playfair+Display:ital,wght@0,400;0,600;0,700;1,400;1,600&family=Source+Serif+4:ital,wght@0,300;0,400;0,600;1,400&display=swap\" rel=\"stylesheet\">\n<style>\n#ncl07 *,#ncl07 *::before,#ncl07 *::after{box-sizing:border-box;margin:0;padding:0}\n#ncl07{\n --ob:#1A5F7A;--ob-light:#236E8C;--ob-pale:#E6F3F7;--ob-dark:#114455;\n --correct:#2D6B47;--correct-bg:#EAF6EF;--correct-border:#3A9960;\n --wrong:#B83232;--wrong-bg:#FDF0F0;--wrong-border:#E53935;\n --ink:#0F2A35;--ink-mid:#2A4D5A;--ink-soft:#5A7D8A;\n --line:#B8D8E3;--cream:#F2F8FA;--warm:#F8FCFD;\n font-family:'Source Serif 4',Georgia,serif;\n font-size:16px;color:var(--ink);background:var(--cream);\n line-height:1.7;padding:0 0 64px;\n}\n#ncl07 .mr-header{background:linear-gradient(135deg,var(--ob-dark) 0%,var(--ob) 60%,var(--ob-light) 100%);color:#E4F4F9;padding:36px 24px 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class=\"mr-series-tag\">Numerical Series · Clinical Pharmacology<\/div>\n <div class=\"mr-eyebrow\">Morning Rounds · Round 07 of 07<\/div>\n <div class=\"mr-title\">Clinical Drug<br><em>Calculations<\/em><\/div>\n <div class=\"mr-subtitle\">Series finale · Drip rates, dose by weight, paediatric dosing, unit conversions & infusion arithmetic<\/div>\n <div class=\"mr-chips\">\n <span class=\"mr-chip\">5 Questions<\/span>\n <span class=\"mr-chip\">+4 \/ −1 scoring<\/span>\n <span class=\"mr-chip\">Options reshuffled<\/span>\n <\/div>\n <\/div>\n\n <div class=\"mr-sentinel\" id=\"ncl07-sentinel\"><\/div>\n\n <div class=\"mr-progress\" id=\"ncl07-progress\">\n <div class=\"mr-prog-inner\">\n <div class=\"mr-pips\" id=\"ncl07-pips\"><\/div>\n <\/div>\n <\/div>\n\n <div class=\"mr-body\">\n <div id=\"ncl07-cases\"><\/div>\n <div class=\"mr-submit-wrap\">\n <button class=\"mr-btn\" id=\"ncl07-submit\">Submit for Debrief<\/button>\n <\/div>\n <div class=\"mr-score\" id=\"ncl07-score\">\n <div class=\"mr-score-in\">\n <div class=\"mr-score-ey\">Series Complete<\/div>\n <div class=\"mr-ring\" id=\"ncl07-ring\">\n <div class=\"mr-ring-in\">\n <span class=\"mr-ring-pct\" id=\"ncl07-pct\">0%<\/span>\n <span class=\"mr-ring-sub\">net<\/span>\n <\/div>\n <\/div>\n <div class=\"mr-score-title\">Round 07 — Your Debrief<\/div>\n <div class=\"mr-score-net\" id=\"ncl07-net\"><\/div>\n <div class=\"mr-verdict\" id=\"ncl07-verdict\"><\/div>\n <div class=\"mr-bands\">\n <span class=\"mr-band mr-band-c\" id=\"ncl07-ct-c\"><\/span>\n <span class=\"mr-band mr-band-w\" id=\"ncl07-ct-w\"><\/span>\n <span class=\"mr-band mr-band-s\" id=\"ncl07-ct-s\"><\/span>\n <\/div>\n <button class=\"mr-retry\" id=\"ncl07-retry\">↻ Retry This Round<\/button>\n <div class=\"mr-series-end\">\n <strong>All 7 Rounds Complete.<\/strong><br>\n Physiological calculations, ABG interpretation, anion gap, fluids and electrolytes,\n renal indices, cardiovascular haemodynamics, and clinical drug calculations.\n The Summative Revision awaits.\n <\/div>\n <\/div>\n <\/div>\n <\/div>\n\n<\/div>\n\n<script>\n(function () {\n 'use strict';\n\n var NS = 'ncl07';\n var TOTAL = 5;\n var MAX = 20;\n var LTRS = ['A','B','C','D'];\n\n var QS = [\n\n {\n id: 1,\n tag: 'IV Drip Rate -- Drops Per Minute',\n stem: 'A patient requires <strong>1 litre of normal saline over 8 hours<\/strong>. The IV giving set has a <strong>drop factor of 20 drops\/mL<\/strong>. What is the required <strong>drip rate in drops per minute<\/strong>?',\n correct: '42 drops\/min',\n opts: [\n '42 drops\/min',\n '21 drops\/min',\n '125 drops\/min',\n '83 drops\/min'\n ],\n exp: 'Drip rate (drops\/min) = <strong>[Volume (mL) x Drop factor] \/ Time (min)<\/strong>.<span class=\"calc\">Volume = 1000 mL<br>Time = 8 hours x 60 min\/hr = 480 min<br>Drop factor = 20 drops\/mL<br><br>Drip rate = (1000 x 20) \/ 480<br>= 20000 \/ 480<br>= <strong>41.67 = 42 drops\/min<\/strong><\/span>This three-variable formula is the foundation of all IV rate calculations. Two common drop factors: <strong>20 drops\/mL<\/strong> (standard adult giving set) and <strong>60 drops\/mL<\/strong> (microdrip\/burette set, used in paediatrics and when precise low-rate delivery is needed).<br><br>Trap 21 drops\/min halves the answer -- a common error when candidates divide volume by time first (1000\/480 = 2.08 mL\/min) then forget to multiply by drop factor or halve it. Trap 125 drops\/min uses drops\/mL as mL\/hr without time conversion. Trap 83 drops\/min uses time in hours (8) instead of minutes (480). Always convert time to minutes before applying the formula.'\n },\n\n {\n id: 2,\n tag: 'Weight-Based Dosing -- Dopamine Infusion',\n stem: 'A 70 kg patient in cardiogenic shock requires <strong>dopamine at 5 mcg\/kg\/min<\/strong>. Dopamine is available as <strong>200 mg in 250 mL dextrose<\/strong>. What is the <strong>infusion rate in mL\/hr<\/strong>?',\n correct: '26.25 mL\/hr',\n opts: [\n '26.25 mL\/hr',\n '10.5 mL\/hr',\n '52.5 mL\/hr',\n '131 mL\/hr'\n ],\n exp: 'Step-by-step unit conversion is the entire skill:<span class=\"calc\">Step 1: Dose required = 5 mcg\/kg\/min x 70 kg = 350 mcg\/min<br><br>Step 2: Convert to mg\/min = 350 mcg\/min \/ 1000 = 0.35 mg\/min<br><br>Step 3: Concentration of solution = 200 mg \/ 250 mL = 0.8 mg\/mL<br><br>Step 4: Volume rate = dose rate \/ concentration<br>= 0.35 mg\/min \/ 0.8 mg\/mL = 0.4375 mL\/min<br><br>Step 5: Convert to mL\/hr = 0.4375 x 60 = <strong>26.25 mL\/hr<\/strong><\/span>The systematic approach -- dose needed, unit conversion, solution concentration, volume rate, time conversion -- applies to every weight-based infusion. Trap 10.5 mL\/hr uses mcg directly without converting to mg (350\/1000 step omitted, divides 350 by 0.8 to get 437.5 then divides by 60 instead of multiplying). Trap 52.5 mL\/hr doubles the answer. Trap 131 mL\/hr uses 60 as concentration instead of calculating it from 200mg\/250mL.'\n },\n\n {\n id: 3,\n tag: 'Paediatric Dosing -- Weight-Based Antibiotic',\n stem: 'A <strong>4-year-old child weighing 18 kg<\/strong> requires amoxicillin for pneumonia. The dose is <strong>40 mg\/kg\/day in 3 divided doses<\/strong>. Amoxicillin suspension is available as <strong>250 mg\/5 mL<\/strong>. What volume should be given <strong>per dose<\/strong>?',\n correct: '4.8 mL per dose',\n opts: [\n '4.8 mL per dose',\n '14.4 mL per dose',\n '2.4 mL per dose',\n '9.6 mL per dose'\n ],\n exp: '<span class=\"calc\">Total daily dose = 40 mg\/kg\/day x 18 kg = 720 mg\/day<br><br>Dose per administration = 720 \/ 3 = 240 mg per dose<br><br>Volume per dose = 240 mg \/ (250 mg \/ 5 mL)<br>= 240 x (5\/250)<br>= 240 x 0.02<br>= <strong>4.8 mL per dose<\/strong><\/span>The volume calculation formula: <strong>Volume = (Dose required \/ Stock concentration) x Volume of stock<\/strong>. Or simply: dose needed \/ concentration in mg\/mL = (240 mg) \/ (50 mg\/mL) = 4.8 mL.<br><br>Always work in this order: weight-based total dose, divide by number of doses, then convert using suspension concentration. Trap 14.4 mL gives the total daily volume (4.8 x 3) instead of the per-dose volume. Trap 2.4 mL divides by 6 instead of 3 (wrong dosing frequency). Trap 9.6 mL doubles the correct answer -- possibly using 20 mg\/kg\/dose instead of 40 mg\/kg\/day divided by 3.'\n },\n\n {\n id: 4,\n tag: 'Unit Conversion -- mcg to mg, IU to mg',\n stem: 'A prescription reads: <strong>insulin 0.1 units\/kg\/hr<\/strong> for a 60 kg patient in DKA. Insulin is available as <strong>100 units\/mL<\/strong> (standard concentration). The nurse asks for the infusion rate in <strong>mL\/hr<\/strong>. What is the correct answer?',\n correct: '0.06 mL\/hr',\n opts: [\n '0.06 mL\/hr',\n '6 mL\/hr',\n '0.6 mL\/hr',\n '0.006 mL\/hr'\n ],\n exp: '<span class=\"calc\">Dose required = 0.1 units\/kg\/hr x 60 kg = 6 units\/hr<br><br>Concentration = 100 units\/mL<br><br>Volume rate = 6 units\/hr \/ 100 units\/mL = <strong>0.06 mL\/hr<\/strong><\/span>This is a deceptively small volume -- 0.06 mL\/hr is clinically correct for standard insulin infusion in DKA using undiluted insulin (100 units\/mL). In practice, insulin is almost always <strong>diluted before infusion<\/strong> for precision: a common preparation is 50 units in 50 mL (1 unit\/mL), which would give 6 mL\/hr for this patient -- a much more controllable rate on an infusion pump.<br><br>The calculation is pure unit conversion: always identify the dose in units\/hr first, then divide by the concentration in units\/mL. Trap 6 mL\/hr forgets to divide by concentration (equates units\/hr directly with mL\/hr). Trap 0.6 mL\/hr is off by a factor of 10. Trap 0.006 mL\/hr divides by 1000 instead of 100.<br><br>Clinical anchor: in DKA protocols, insulin is typically run at 0.05-0.1 units\/kg\/hr until glucose falls to 13-14 mmol\/L, then switched to a glucose-insulin-potassium (GIK) sliding scale.'\n },\n\n {\n id: 5,\n tag: 'Loading Dose then Maintenance -- Aminophylline',\n stem: 'A 70 kg adult with acute severe asthma not on theophylline requires aminophylline. Loading dose: <strong>5 mg\/kg IV over 20 minutes<\/strong>. Maintenance: <strong>0.5 mg\/kg\/hr<\/strong>. Aminophylline is available as <strong>250 mg\/10 mL<\/strong>. Calculate the <strong>loading dose volume<\/strong> and <strong>maintenance rate in mL\/hr<\/strong>.',\n correct: 'Loading: 14 mL over 20 min; maintenance: 1.4 mL\/hr',\n opts: [\n 'Loading: 14 mL over 20 min; maintenance: 1.4 mL\/hr',\n 'Loading: 14 mL over 20 min; maintenance: 3.5 mL\/hr',\n 'Loading: 350 mL over 20 min; maintenance: 1.4 mL\/hr',\n 'Loading: 7 mL over 20 min; maintenance: 0.7 mL\/hr'\n ],\n exp: '<strong>Loading dose:<\/strong><span class=\"calc\">Dose = 5 mg\/kg x 70 kg = 350 mg<br>Concentration = 250 mg\/10 mL = 25 mg\/mL<br>Volume = 350 mg \/ 25 mg\/mL = <strong>14 mL<\/strong> (given over 20 min)<\/span><strong>Maintenance:<\/strong><span class=\"calc\">Rate = 0.5 mg\/kg\/hr x 70 kg = 35 mg\/hr<br>Concentration = 25 mg\/mL<br>Volume rate = 35 mg\/hr \/ 25 mg\/mL = <strong>1.4 mL\/hr<\/strong><\/span>Two separate calculations with the same concentration -- the trap is using the concentration correctly for loading but then forgetting to apply it for maintenance (or vice versa). Trap B applies a wrong maintenance rate -- 3.5 mL\/hr would require 87.5 mg\/hr, which is 1.25 mg\/kg\/hr (2.5 times the prescribed dose). Trap C correctly calculates the doses (350 mg loading, 35 mg\/hr maintenance) but presents 350 mL instead of 14 mL for loading -- fails to divide by concentration. Trap D halves both answers -- a systematic factor-of-2 error throughout.<br><br>Important clinical note: aminophylline has a <strong>narrow therapeutic index<\/strong> (therapeutic range 10-20 mcg\/mL). In a patient <em>already on theophylline<\/em>, the loading dose is halved or omitted entirely to avoid toxicity. Always ask about prior theophylline use before giving the loading dose.'\n }\n\n ];\n\n var answers = {}, answered = 0, shuffled = {}, done = false;\n\n function gid(s) { return document.getElementById(NS + '-' + s); }\n function byId(s) { return document.getElementById(s); }\n\n function shuffleArr(arr) {\n var a = arr.slice(), i, j, t;\n for (i = a.length - 1; i > 0; i--) {\n j = Math.floor(Math.random() * (i + 1));\n t = a[i]; a[i] = a[j]; a[j] = t;\n }\n return a;\n }\n\n function countVal(v) {\n var n = 0, k;\n for (k in answers) { if (answers[k] === v) n++; }\n return n;\n }\n\n function buildPips() {\n var cont = gid('pips'), i, q, wLine, wPip, line, pip;\n cont.innerHTML = '';\n for (i = 0; i < QS.length; i++) {\n q = QS[i];\n if (i > 0) {\n wLine = document.createElement('div');\n wLine.className = 'mr-pip-wrap';\n line = document.createElement('div');\n line.className = 'mr-pip-line';\n line.id = NS + '-pl' + q.id;\n wLine.appendChild(line);\n cont.appendChild(wLine);\n }\n wPip = document.createElement('div');\n wPip.className = 'mr-pip-wrap';\n pip = document.createElement('div');\n pip.className = 'mr-pip';\n pip.id = NS + '-pip' + q.id;\n pip.textContent = String(q.id);\n wPip.appendChild(pip);\n cont.appendChild(wPip);\n }\n }\n\n function build() {\n var cont, i, q, opts, card, top, numDiv, meta, tag, stem,\n rule, optsDiv, expDiv, lbl, txt, j, optEl, ltrSpan, txtSpan;\n\n cont = gid('cases');\n cont.innerHTML = '';\n answers = {}; answered = 0; shuffled = {}; done = false;\n gid('score').style.display = 'none';\n buildPips();\n\n for (i = 0; i < QS.length; i++) {\n q = QS[i];\n opts = shuffleArr(q.opts);\n shuffled[q.id] = opts;\n\n card = document.createElement('div');\n card.className = 'mr-case';\n\n top = document.createElement('div');\n top.className = 'mr-case-top';\n\n numDiv = document.createElement('div');\n numDiv.className = 'mr-num';\n numDiv.textContent = q.id < 10 ? 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{"id":37429,"date":"2026-08-25T23:02:49","date_gmt":"2026-08-25T17:32:49","guid":{"rendered":"https:\/\/atsixty.com\/?p=37429"},"modified":"2026-08-26T06:55:26","modified_gmt":"2026-08-26T01:25:26","slug":"clinical-drug-calculations","status":"publish","type":"post","link":"https:\/\/atsixty.com\/index.php\/numericals\/clinical-drug-calculations\/","title":{"rendered":"Clinical Drug Calculations"},"content":{"rendered":"\n\n\n\n\n\n\n\nMorning Rounds \u00b7 Clinical Numericals \u00b7 Round 07<\/title>\n<link href=\"https:\/\/fonts.googleapis.com\/css2?family=Playfair+Display:ital,wght@0,400;0,600;0,700;1,400;1,600&family=Source+Serif+4:ital,wght@0,300;0,400;0,600;1,400&display=swap\" rel=\"stylesheet\">\n<style>\n#ncl07 *,#ncl07 *::before,#ncl07 *::after{box-sizing:border-box;margin:0;padding:0}\n#ncl07{\n --ob:#1A5F7A;--ob-light:#236E8C;--ob-pale:#E6F3F7;--ob-dark:#114455;\n --correct:#2D6B47;--correct-bg:#EAF6EF;--correct-border:#3A9960;\n 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.mr-score-net{font-size:0.9rem;color:var(--ob);font-weight:600;margin-bottom:4px}\n#ncl07 .mr-verdict{font-size:0.83rem;color:var(--ink-soft);font-style:italic;margin-bottom:18px;padding:0 12px}\n#ncl07 .mr-bands{display:flex;justify-content:center;gap:10px;flex-wrap:wrap}\n#ncl07 .mr-band{padding:5px 13px;border-radius:16px;font-size:0.78rem;font-weight:600}\n#ncl07 .mr-band-c{background:var(--correct-bg);color:var(--correct)}\n#ncl07 .mr-band-w{background:var(--wrong-bg);color:var(--wrong)}\n#ncl07 .mr-band-s{background:var(--ob-pale);color:var(--ob)}\n#ncl07 .mr-retry{display:block;margin:18px auto 4px;background:transparent;border:2px solid var(--ob);color:var(--ob);border-radius:8px;padding:9px 28px;font-family:'Playfair Display',serif;font-size:0.92rem;font-weight:700;cursor:pointer;}\n#ncl07 .mr-retry:hover{background:var(--ob);color:#E4F4F9}\n#ncl07 .mr-series-end{text-align:center;padding:24px 16px 0;font-size:0.86rem;color:var(--ink-soft);font-style:italic;border-top:1px solid var(--line);margin-top:8px;}\n#ncl07 .mr-series-end strong{color:var(--ob);font-style:normal;}\n@media(max-width:480px){\n #ncl07 .mr-title{font-size:1.4rem}\n #ncl07 .mr-num{font-size:1.7rem}\n #ncl07 .mr-stem{font-size:0.9rem}\n #ncl07 .mr-opt-text{font-size:0.86rem}\n}\n<\/style>\n\n<div id=\"ncl07\">\n\n <div class=\"mr-header\">\n <div class=\"mr-series-tag\">Numerical Series · Clinical Pharmacology<\/div>\n <div class=\"mr-eyebrow\">Morning Rounds · Round 07 of 07<\/div>\n <div class=\"mr-title\">Clinical Drug<br><em>Calculations<\/em><\/div>\n <div class=\"mr-subtitle\">Series finale · Drip rates, dose by weight, paediatric dosing, unit conversions & infusion arithmetic<\/div>\n <div class=\"mr-chips\">\n <span class=\"mr-chip\">5 Questions<\/span>\n <span class=\"mr-chip\">+4 \/ −1 scoring<\/span>\n <span class=\"mr-chip\">Options reshuffled<\/span>\n <\/div>\n <\/div>\n\n <div class=\"mr-sentinel\" id=\"ncl07-sentinel\"><\/div>\n\n <div class=\"mr-progress\" id=\"ncl07-progress\">\n <div class=\"mr-prog-inner\">\n <div class=\"mr-pips\" id=\"ncl07-pips\"><\/div>\n <\/div>\n <\/div>\n\n <div class=\"mr-body\">\n <div id=\"ncl07-cases\"><\/div>\n <div class=\"mr-submit-wrap\">\n <button class=\"mr-btn\" id=\"ncl07-submit\">Submit for Debrief<\/button>\n <\/div>\n <div class=\"mr-score\" id=\"ncl07-score\">\n <div class=\"mr-score-in\">\n <div class=\"mr-score-ey\">Series Complete<\/div>\n <div class=\"mr-ring\" id=\"ncl07-ring\">\n <div class=\"mr-ring-in\">\n <span class=\"mr-ring-pct\" id=\"ncl07-pct\">0%<\/span>\n <span class=\"mr-ring-sub\">net<\/span>\n <\/div>\n <\/div>\n <div class=\"mr-score-title\">Round 07 — Your Debrief<\/div>\n <div class=\"mr-score-net\" id=\"ncl07-net\"><\/div>\n <div class=\"mr-verdict\" id=\"ncl07-verdict\"><\/div>\n <div class=\"mr-bands\">\n <span class=\"mr-band mr-band-c\" id=\"ncl07-ct-c\"><\/span>\n <span class=\"mr-band mr-band-w\" id=\"ncl07-ct-w\"><\/span>\n <span class=\"mr-band mr-band-s\" id=\"ncl07-ct-s\"><\/span>\n <\/div>\n <button class=\"mr-retry\" id=\"ncl07-retry\">↻ Retry This Round<\/button>\n <div class=\"mr-series-end\">\n <strong>All 7 Rounds Complete.<\/strong><br>\n Physiological calculations, ABG interpretation, anion gap, fluids and electrolytes,\n renal indices, cardiovascular haemodynamics, and clinical drug calculations.\n The Summative Revision awaits.\n <\/div>\n <\/div>\n <\/div>\n <\/div>\n\n<\/div>\n\n<script>\n(function () {\n 'use strict';\n\n var NS = 'ncl07';\n var TOTAL = 5;\n var MAX = 20;\n var LTRS = ['A','B','C','D'];\n\n var QS = [\n\n {\n id: 1,\n tag: 'IV Drip Rate -- Drops Per Minute',\n stem: 'A patient requires <strong>1 litre of normal saline over 8 hours<\/strong>. The IV giving set has a <strong>drop factor of 20 drops\/mL<\/strong>. What is the required <strong>drip rate in drops per minute<\/strong>?',\n correct: '42 drops\/min',\n opts: [\n '42 drops\/min',\n '21 drops\/min',\n '125 drops\/min',\n '83 drops\/min'\n ],\n exp: 'Drip rate (drops\/min) = <strong>[Volume (mL) x Drop factor] \/ Time (min)<\/strong>.<span class=\"calc\">Volume = 1000 mL<br>Time = 8 hours x 60 min\/hr = 480 min<br>Drop factor = 20 drops\/mL<br><br>Drip rate = (1000 x 20) \/ 480<br>= 20000 \/ 480<br>= <strong>41.67 = 42 drops\/min<\/strong><\/span>This three-variable formula is the foundation of all IV rate calculations. Two common drop factors: <strong>20 drops\/mL<\/strong> (standard adult giving set) and <strong>60 drops\/mL<\/strong> (microdrip\/burette set, used in paediatrics and when precise low-rate delivery is needed).<br><br>Trap 21 drops\/min halves the answer -- a common error when candidates divide volume by time first (1000\/480 = 2.08 mL\/min) then forget to multiply by drop factor or halve it. Trap 125 drops\/min uses drops\/mL as mL\/hr without time conversion. Trap 83 drops\/min uses time in hours (8) instead of minutes (480). Always convert time to minutes before applying the formula.'\n },\n\n {\n id: 2,\n tag: 'Weight-Based Dosing -- Dopamine Infusion',\n stem: 'A 70 kg patient in cardiogenic shock requires <strong>dopamine at 5 mcg\/kg\/min<\/strong>. Dopamine is available as <strong>200 mg in 250 mL dextrose<\/strong>. What is the <strong>infusion rate in mL\/hr<\/strong>?',\n correct: '26.25 mL\/hr',\n opts: [\n '26.25 mL\/hr',\n '10.5 mL\/hr',\n '52.5 mL\/hr',\n '131 mL\/hr'\n ],\n exp: 'Step-by-step unit conversion is the entire skill:<span class=\"calc\">Step 1: Dose required = 5 mcg\/kg\/min x 70 kg = 350 mcg\/min<br><br>Step 2: Convert to mg\/min = 350 mcg\/min \/ 1000 = 0.35 mg\/min<br><br>Step 3: Concentration of solution = 200 mg \/ 250 mL = 0.8 mg\/mL<br><br>Step 4: Volume rate = dose rate \/ concentration<br>= 0.35 mg\/min \/ 0.8 mg\/mL = 0.4375 mL\/min<br><br>Step 5: Convert to mL\/hr = 0.4375 x 60 = <strong>26.25 mL\/hr<\/strong><\/span>The systematic approach -- dose needed, unit conversion, solution concentration, volume rate, time conversion -- applies to every weight-based infusion. Trap 10.5 mL\/hr uses mcg directly without converting to mg (350\/1000 step omitted, divides 350 by 0.8 to get 437.5 then divides by 60 instead of multiplying). Trap 52.5 mL\/hr doubles the answer. Trap 131 mL\/hr uses 60 as concentration instead of calculating it from 200mg\/250mL.'\n },\n\n {\n id: 3,\n tag: 'Paediatric Dosing -- Weight-Based Antibiotic',\n stem: 'A <strong>4-year-old child weighing 18 kg<\/strong> requires amoxicillin for pneumonia. The dose is <strong>40 mg\/kg\/day in 3 divided doses<\/strong>. Amoxicillin suspension is available as <strong>250 mg\/5 mL<\/strong>. What volume should be given <strong>per dose<\/strong>?',\n correct: '4.8 mL per dose',\n opts: [\n '4.8 mL per dose',\n '14.4 mL per dose',\n '2.4 mL per dose',\n '9.6 mL per dose'\n ],\n exp: '<span class=\"calc\">Total daily dose = 40 mg\/kg\/day x 18 kg = 720 mg\/day<br><br>Dose per administration = 720 \/ 3 = 240 mg per dose<br><br>Volume per dose = 240 mg \/ (250 mg \/ 5 mL)<br>= 240 x (5\/250)<br>= 240 x 0.02<br>= <strong>4.8 mL per dose<\/strong><\/span>The volume calculation formula: <strong>Volume = (Dose required \/ Stock concentration) x Volume of stock<\/strong>. Or simply: dose needed \/ concentration in mg\/mL = (240 mg) \/ (50 mg\/mL) = 4.8 mL.<br><br>Always work in this order: weight-based total dose, divide by number of doses, then convert using suspension concentration. Trap 14.4 mL gives the total daily volume (4.8 x 3) instead of the per-dose volume. Trap 2.4 mL divides by 6 instead of 3 (wrong dosing frequency). Trap 9.6 mL doubles the correct answer -- possibly using 20 mg\/kg\/dose instead of 40 mg\/kg\/day divided by 3.'\n },\n\n {\n id: 4,\n tag: 'Unit Conversion -- mcg to mg, IU to mg',\n stem: 'A prescription reads: <strong>insulin 0.1 units\/kg\/hr<\/strong> for a 60 kg patient in DKA. Insulin is available as <strong>100 units\/mL<\/strong> (standard concentration). The nurse asks for the infusion rate in <strong>mL\/hr<\/strong>. What is the correct answer?',\n correct: '0.06 mL\/hr',\n opts: [\n '0.06 mL\/hr',\n '6 mL\/hr',\n '0.6 mL\/hr',\n '0.006 mL\/hr'\n ],\n exp: '<span class=\"calc\">Dose required = 0.1 units\/kg\/hr x 60 kg = 6 units\/hr<br><br>Concentration = 100 units\/mL<br><br>Volume rate = 6 units\/hr \/ 100 units\/mL = <strong>0.06 mL\/hr<\/strong><\/span>This is a deceptively small volume -- 0.06 mL\/hr is clinically correct for standard insulin infusion in DKA using undiluted insulin (100 units\/mL). In practice, insulin is almost always <strong>diluted before infusion<\/strong> for precision: a common preparation is 50 units in 50 mL (1 unit\/mL), which would give 6 mL\/hr for this patient -- a much more controllable rate on an infusion pump.<br><br>The calculation is pure unit conversion: always identify the dose in units\/hr first, then divide by the concentration in units\/mL. Trap 6 mL\/hr forgets to divide by concentration (equates units\/hr directly with mL\/hr). Trap 0.6 mL\/hr is off by a factor of 10. Trap 0.006 mL\/hr divides by 1000 instead of 100.<br><br>Clinical anchor: in DKA protocols, insulin is typically run at 0.05-0.1 units\/kg\/hr until glucose falls to 13-14 mmol\/L, then switched to a glucose-insulin-potassium (GIK) sliding scale.'\n },\n\n {\n id: 5,\n tag: 'Loading Dose then Maintenance -- Aminophylline',\n stem: 'A 70 kg adult with acute severe asthma not on theophylline requires aminophylline. Loading dose: <strong>5 mg\/kg IV over 20 minutes<\/strong>. Maintenance: <strong>0.5 mg\/kg\/hr<\/strong>. Aminophylline is available as <strong>250 mg\/10 mL<\/strong>. Calculate the <strong>loading dose volume<\/strong> and <strong>maintenance rate in mL\/hr<\/strong>.',\n correct: 'Loading: 14 mL over 20 min; maintenance: 1.4 mL\/hr',\n opts: [\n 'Loading: 14 mL over 20 min; maintenance: 1.4 mL\/hr',\n 'Loading: 14 mL over 20 min; maintenance: 3.5 mL\/hr',\n 'Loading: 350 mL over 20 min; maintenance: 1.4 mL\/hr',\n 'Loading: 7 mL over 20 min; maintenance: 0.7 mL\/hr'\n ],\n exp: '<strong>Loading dose:<\/strong><span class=\"calc\">Dose = 5 mg\/kg x 70 kg = 350 mg<br>Concentration = 250 mg\/10 mL = 25 mg\/mL<br>Volume = 350 mg \/ 25 mg\/mL = <strong>14 mL<\/strong> (given over 20 min)<\/span><strong>Maintenance:<\/strong><span class=\"calc\">Rate = 0.5 mg\/kg\/hr x 70 kg = 35 mg\/hr<br>Concentration = 25 mg\/mL<br>Volume rate = 35 mg\/hr \/ 25 mg\/mL = <strong>1.4 mL\/hr<\/strong><\/span>Two separate calculations with the same concentration -- the trap is using the concentration correctly for loading but then forgetting to apply it for maintenance (or vice versa). Trap B applies a wrong maintenance rate -- 3.5 mL\/hr would require 87.5 mg\/hr, which is 1.25 mg\/kg\/hr (2.5 times the prescribed dose). Trap C correctly calculates the doses (350 mg loading, 35 mg\/hr maintenance) but presents 350 mL instead of 14 mL for loading -- fails to divide by concentration. Trap D halves both answers -- a systematic factor-of-2 error throughout.<br><br>Important clinical note: aminophylline has a <strong>narrow therapeutic index<\/strong> (therapeutic range 10-20 mcg\/mL). In a patient <em>already on theophylline<\/em>, the loading dose is halved or omitted entirely to avoid toxicity. Always ask about prior theophylline use before giving the loading dose.'\n }\n\n ];\n\n var answers = {}, answered = 0, shuffled = {}, done = false;\n\n function gid(s) { return document.getElementById(NS + '-' + s); }\n function byId(s) { return document.getElementById(s); }\n\n function shuffleArr(arr) {\n var a = arr.slice(), i, j, t;\n for (i = a.length - 1; i > 0; i--) {\n j = Math.floor(Math.random() * (i + 1));\n t = a[i]; a[i] = a[j]; a[j] = t;\n }\n return a;\n }\n\n function countVal(v) {\n var n = 0, k;\n for (k in answers) { if (answers[k] === v) n++; }\n return n;\n }\n\n function buildPips() {\n var cont = gid('pips'), i, q, wLine, wPip, line, pip;\n cont.innerHTML = '';\n for (i = 0; i < QS.length; i++) {\n q = QS[i];\n if (i > 0) {\n wLine = document.createElement('div');\n wLine.className = 'mr-pip-wrap';\n line = document.createElement('div');\n line.className = 'mr-pip-line';\n line.id = NS + '-pl' + q.id;\n wLine.appendChild(line);\n cont.appendChild(wLine);\n }\n wPip = document.createElement('div');\n wPip.className = 'mr-pip-wrap';\n pip = document.createElement('div');\n pip.className = 'mr-pip';\n pip.id = NS + '-pip' + q.id;\n pip.textContent = String(q.id);\n wPip.appendChild(pip);\n cont.appendChild(wPip);\n }\n }\n\n function build() {\n var cont, i, q, opts, card, top, numDiv, meta, tag, stem,\n rule, optsDiv, expDiv, lbl, txt, j, optEl, ltrSpan, txtSpan;\n\n cont = gid('cases');\n cont.innerHTML = '';\n answers = {}; answered = 0; shuffled = {}; done = false;\n gid('score').style.display = 'none';\n buildPips();\n\n for (i = 0; i < QS.length; i++) {\n q = QS[i];\n opts = shuffleArr(q.opts);\n shuffled[q.id] = opts;\n\n card = document.createElement('div');\n card.className = 'mr-case';\n\n top = document.createElement('div');\n top.className = 'mr-case-top';\n\n numDiv = document.createElement('div');\n numDiv.className = 'mr-num';\n numDiv.textContent = q.id < 10 ? 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