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Adderall Dosage Calculator
Estimate Adderall IR and XR doses by body weight, age group, and dose level using FDA-approved dosing guidelines for ADHD.
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Adderall Dosage Calculator: Formula and Methodology
Adderall (mixed amphetamine salts) dosing follows a weight-based titration model bounded by FDA-approved age and formulation limits. The calculator estimates a clinically appropriate starting, maintenance, or maximum dose, then caps the result at the regulatory ceiling for the patient's age group and selected formulation.
Core Dosage Formula
The formula is expressed as:
D = min(w × klevel, Dmax(age, form)), rounded down to the nearest 2.5 mg increment
This two-part structure first generates a weight-scaled dose and then enforces a hard regulatory ceiling. The calculator returns whichever value is smaller, ensuring no result exceeds FDA-approved limits for the relevant age bracket and formulation.
Formula Variables Explained
- w (weight_kg) — Patient body weight in kilograms. Adults typically range 60–100 kg; pediatric patients range from approximately 20–60 kg depending on developmental stage.
- klevel (dose coefficient) — A weight-normalized multiplier in mg/kg reflecting the dosing intent. Starting titration uses roughly 0.10–0.15 mg/kg, maintenance dosing uses 0.20–0.30 mg/kg, and the maximum tier approaches 0.40–0.50 mg/kg.
- Dmax(age, form) — The FDA ceiling dose determined jointly by the patient's age bracket and formulation. Adults on XR: 30 mg/day; adolescents 13–17 on XR: 20 mg/day; children 6–12 on XR: 30 mg/day; patients 6+ on IR: 40 mg/day; children 3–5 on IR: 40 mg/day (rarely approached).
Formulation Differences: IR vs. XR
Adderall IR (immediate-release) begins acting within 30–60 minutes and provides symptom coverage for 4–6 hours, requiring 2–3 daily administrations. Adderall XR (extended-release) delivers medication through a beaded dual-release mechanism, producing therapeutic plasma levels over 10–12 hours and enabling once-daily dosing. According to the FDA Adderall XR Prescribing Information, the XR form is indicated for ADHD in patients aged 6 and older, with dosing initiated at 5–10 mg once daily and titrated upward by 5–10 mg at weekly intervals as needed.
FDA-Approved Dosing Reference by Age Group
- Children 6–12 years (XR): Start 5–10 mg once daily; maximum 30 mg/day
- Adolescents 13–17 years (XR): Start 10 mg once daily; maximum 20 mg/day
- Adults 18+ (XR): Start 20 mg once daily; maximum 30 mg/day
- Children 3–5 years (IR): Start 2.5 mg/day; maximum 40 mg/day
- Children 6+ (IR): Start 5 mg 1–2 times daily; maximum 40 mg/day
Rounding to 2.5 mg Increments
Adderall IR tablets are commercially available in 5, 7.5, 10, 12.5, 15, 20, and 30 mg strengths. Adderall XR capsules come in 5, 10, 15, 20, 25, and 30 mg strengths. The formula rounds calculated doses down to the nearest 2.5 mg to align with dispensable tablet and capsule sizes, preventing unintentional overshoot on initial fills.
Worked Examples
Example 1 — Pediatric starting dose: A 35 kg child (age 10) beginning Adderall XR: weight-based dose = 35 × 0.14 = 4.9 mg; Dmax = 30 mg; min(4.9, 30) = 4.9 mg → rounded to 5.0 mg.
Example 2 — Adult maintenance dose: A 75 kg adult on Adderall XR at maintenance level: weight-based dose = 75 × 0.27 = 20.25 mg; Dmax = 30 mg; min(20.25, 30) = 20.25 mg → rounded to 20.0 mg.
Example 3 — Adolescent with dose ceiling: A 90 kg adolescent (age 15) at maximum XR tier: weight-based dose = 90 × 0.45 = 40.5 mg; Dmax (age 13–17, XR) = 20 mg; min(40.5, 20) = 20.0 mg — the age ceiling overrides the weight calculation.
Clinical Basis and Limitations
Weight-adjusted amphetamine titration is supported by peer-reviewed evidence. A systematic review published in PMC (Cortese et al., 2018) confirms that titrated amphetamine therapy starting at the lowest effective dose and increasing in 5–10 mg weekly steps achieves optimal ADHD symptom control with a favorable safety profile. The Oregon Health & Science University Drug Class Review on Pharmacologic Treatments for ADHD further validates weight-based dosing as an appropriate initial framework in pediatric populations. This calculator produces educational estimates only. A licensed prescriber must determine the actual dose through clinical evaluation, review of comorbidities, and ongoing monitoring of response and adverse effects.
Reference