This free guide turns the current MedMathMindset Paramedic math blueprint into a practical map: every included domain, its MedMathMindset instructional weight, one worked example, and a quick reasonableness check.
Domains are shown from highest to lowest MedMathMindset blueprint weight. The weights are MedMathMindset instructional blueprint weights used to organize provider-relevant quantitative training; they should not be interpreted as an official credentialing-body exam percentage unless an official source explicitly states that.
Higher weight = more emphasis in MedMathMindsetEvery domain gets at least one worked example
Use it three ways
Teach · review · print
Use the examples as a quick class reference, a learner review sheet, or a printable PDF. For repeated practice and performance signals, continue into the provider-specific Performance Challenge or enrolled MedMathMindset pathway.
Domain 1 of 20
Dimensional Analysis
Dimensional Analysis is included because it matches expected quantitative work for this provider level. Paramedic scope supports medication, infusion, airway/ventilation, oxygen, cardiac, and operational calculations expected in advanced EMS practice.
8%MMM blueprint weight
Example
Available: 10 mg in 2 mL. The ordered dose is 30 mg. How many mL will deliver the ordered dose?
Setup / reasoning
? mL=2 mL10 mg×30 mg1
Target units stay on the left. The first factor on the right begins with the provided relationship that carries the target unit; matching units then cancel across the chain.
Answer
6 mL
Quick check
Unwanted units should cancel cleanly, leaving only the requested final unit.
Domain 2 of 20
Titrated Infusions
Titrated Infusions is included because it matches expected quantitative work for this provider level. Paramedic scope supports medication, infusion, airway/ventilation, oxygen, cardiac, and operational calculations expected in advanced EMS practice.
8%MMM blueprint weight
Example
An infusion contains 400 mg in 250 mL. For a 80 kg patient receiving 5 mcg/kg/min, what pump rate delivers the dose? Round to the nearest tenth.
Track every unit conversion—especially mg↔mcg, minutes↔hours, and kg—before solving the pump rate.
Domain 3 of 20
Weight-Based Dosing
Weight-Based Dosing is included because it matches expected quantitative work for this provider level. Paramedic scope supports medication, infusion, airway/ventilation, oxygen, cardiac, and operational calculations expected in advanced EMS practice.
8%MMM blueprint weight
Example
A 70 kg patient is ordered 0.1 mg/kg. What dose is ordered?
Setup / reasoning
70 × 0.1 = 7 mg.
Answer
7 mg
Quick check
Check that the weight unit matches the dose unit before multiplying.
Domain 4 of 20
Infusion Rates
Infusion Rates is included because it matches expected quantitative work for this provider level. Paramedic scope supports medication, infusion, airway/ventilation, oxygen, cardiac, and operational calculations expected in advanced EMS practice.
7%MMM blueprint weight
Example
1000 mL is to infuse over 8 hours. What pump rate is needed?
Setup / reasoning
1000 ÷ 8 = 125 mL/hr.
Answer
125 mL/hr
Quick check
Volume divided by hours should produce mL/hr; confirm that the rate times time returns the original volume.
Domain 5 of 20
IV Drip Rates
IV Drip Rates is included because it matches expected quantitative work for this provider level. Paramedic scope supports medication, infusion, airway/ventilation, oxygen, cardiac, and operational calculations expected in advanced EMS practice.
7%MMM blueprint weight
Example
Infuse 500 mL over 4 hours with tubing calibrated at 15 gtt/mL. What gravity rate is needed? Round to the nearest whole drop.
Setup / reasoning
500 × 15 ÷ 240 = 31.25, which rounds to 31 gtt/min.
Answer
31 gtt/min
Quick check
Hours must be converted to minutes before using a gtt/min relationship.
Domain 6 of 20
Medication Dose Calculations
Medication Dose Calculations is included because it matches expected quantitative work for this provider level. Paramedic scope supports medication, infusion, airway/ventilation, oxygen, cardiac, and operational calculations expected in advanced EMS practice.
7%MMM blueprint weight
Example
Available: 10 mg in 2 mL. The ordered dose is 30 mg. How many mL will deliver the ordered dose?
Setup / reasoning
30 × 2 ÷ 10 = 6 mL.
Answer
6 mL
Quick check
At a fixed concentration, a larger desired dose requires a proportionally larger volume.
Domain 7 of 20
Ratios / Proportions
Ratios / Proportions is included because it matches expected quantitative work for this provider level. Paramedic scope supports medication, infusion, airway/ventilation, oxygen, cardiac, and operational calculations expected in advanced EMS practice.
6%MMM blueprint weight
Example
A 2:5 relationship is maintained. If the second quantity becomes 20, what is the first quantity?
Setup / reasoning
2/5 = x/20; x = 8.
Answer
8
Quick check
Cross-products should agree when the two ratios are truly equivalent.
Domain 8 of 20
Unit Conversions
Unit Conversions is included because it matches expected quantitative work for this provider level. Paramedic scope supports medication, infusion, airway/ventilation, oxygen, cardiac, and operational calculations expected in advanced EMS practice.
6%MMM blueprint weight
Example
Convert 750 mg to g.
Setup / reasoning
Use the 1000:1 metric relationship; the result is 0.75 g.
Answer
0.75 g
Quick check
Confirm the direction of the conversion and that the final unit is exactly the requested unit.
Domain 9 of 20
Oxygen Cylinder Duration
Oxygen Cylinder Duration is included because it matches expected quantitative work for this provider level. Paramedic scope supports medication, infusion, airway/ventilation, oxygen, cardiac, and operational calculations expected in advanced EMS practice.
5%MMM blueprint weight
Example
An E cylinder reads 1800 psi. Use a 200 psi reserve and a factor of 0.28. At 4 L/min, approximately how many minutes remain? Round to the nearest minute.
Setup / reasoning
(1800 − 200) × 0.28 ÷ 4 = 112, about 112 min.
Answer
112 min
Quick check
Subtract the intended reserve before applying the cylinder factor and flow rate.
Domain 10 of 20
Oxygen Delivery
Oxygen Delivery is included because it matches expected quantitative work for this provider level. Paramedic scope supports medication, infusion, airway/ventilation, oxygen, cardiac, and operational calculations expected in advanced EMS practice.
5%MMM blueprint weight
Example
Using the common nasal-cannula estimate of about 24% at 1 L/min plus about 4 percentage points per additional L/min, estimate FiO₂ at 3 L/min.
Setup / reasoning
24% + 2 × 4% ≈ 32%. This is an approximation, not a measured FiO₂.
Answer
32 %
Quick check
Make sure the oxygen quantity and flow use compatible units before dividing.
Domain 11 of 20
Ventilator / Tidal Volume
Ventilator / Tidal Volume is included because it matches expected quantitative work for this provider level. Paramedic scope supports medication, infusion, airway/ventilation, oxygen, cardiac, and operational calculations expected in advanced EMS practice.
5%MMM blueprint weight
Example
A target tidal volume is 6 mL/kg for a 70 kg patient. What tidal volume does that equal?
Setup / reasoning
6 × 70 = 420 mL.
Answer
420 mL
Quick check
Confirm whether the requested value is per breath, per kilogram, or per minute before calculating.
Domain 12 of 20
ABG / Gas Compensation
ABG / Gas Compensation is included because it matches expected quantitative work for this provider level. Paramedic scope supports medication, infusion, airway/ventilation, oxygen, cardiac, and operational calculations expected in advanced EMS practice.
4%MMM blueprint weight
Example
Using Winter’s formula, expected PaCO₂ ≈ 1.5 × HCO₃ + 8. If HCO₃ is 16 mEq/L, what is the center of the expected PaCO₂ range?
Setup / reasoning
1.5 × 16 + 8 = 32 mmHg (the usual ±2 range is considered separately).
Answer
32 mmHg
Quick check
Use the stated compensation relationship exactly and interpret the result as an expected comparison value, not a diagnosis by itself.
Domain 13 of 20
Alveolar Ventilation
Alveolar Ventilation is included because it matches expected quantitative work for this provider level. Paramedic scope supports medication, infusion, airway/ventilation, oxygen, cardiac, and operational calculations expected in advanced EMS practice.
4%MMM blueprint weight
Example
Use alveolar ventilation = (tidal volume − dead space) × respiratory rate. If VT=500 mL, dead space=150 mL, and RR=12/min, what is alveolar ventilation?
Setup / reasoning
(500 − 150) × 12 = 4200 mL/min = 4.2 L/min.
Answer
4.2 L/min
Quick check
Keep respiratory rate, tidal volume, and dead-space units consistent; the result should represent effective ventilation.
Domain 14 of 20
Cardiac Output / Hemodynamics
Cardiac Output / Hemodynamics is included because it matches expected quantitative work for this provider level. Paramedic scope supports medication, infusion, airway/ventilation, oxygen, cardiac, and operational calculations expected in advanced EMS practice.
4%MMM blueprint weight
Example
Heart rate is 70/min and stroke volume is 70 mL. What is cardiac output in L/min?
Setup / reasoning
70 × 70 = 4900 mL/min = 4.9 L/min.
Answer
4.9 L/min
Quick check
Heart rate × stroke volume yields mL/min first; convert to L/min only after multiplying.
Domain 15 of 20
Percentages
Percentages is included because it matches expected quantitative work for this provider level. Paramedic scope supports medication, infusion, airway/ventilation, oxygen, cardiac, and operational calculations expected in advanced EMS practice.
4%MMM blueprint weight
Example
What is 25% of 80?
Setup / reasoning
25% × 80 = 20.
Answer
20
Quick check
The result should be the stated fraction of the whole; compare its magnitude with 0% and 100%.
Domain 16 of 20
BSA / Burns
BSA / Burns is included because it matches expected quantitative work for this provider level. Paramedic scope supports medication, infusion, airway/ventilation, oxygen, cardiac, and operational calculations expected in advanced EMS practice.
3%MMM blueprint weight
Example
Using 4 mL × kg × %TBSA, what is the 24-hour fluid estimate for a 70 kg patient with 20% TBSA?
Setup / reasoning
4 × 70 × 20 = 5600 mL.
Answer
5600 mL
Quick check
Verify that the formula, body weight, and %TBSA are the intended inputs before interpreting the estimate.
Domain 17 of 20
Whole Number Operations
Whole Number Operations is included because it matches expected quantitative work for this provider level. Paramedic scope supports medication, infusion, airway/ventilation, oxygen, cardiac, and operational calculations expected in advanced EMS practice.
3%MMM blueprint weight
Example
A supply area starts with 24 counted items, adds 18, then uses 11. How many remain?
Setup / reasoning
24 + 18 − 11 = 31.
Answer
31 items
Quick check
Reconcile the starting quantity, additions, and use; the ending count should fit the story.
Domain 18 of 20
Fractions / Decimals
Fractions / Decimals is included because it matches expected quantitative work for this provider level. Paramedic scope supports medication, infusion, airway/ventilation, oxygen, cardiac, and operational calculations expected in advanced EMS practice.
2%MMM blueprint weight
Example
Write 3/4 as a decimal.
Setup / reasoning
3 ÷ 4 = 0.75.
Answer
0.75
Quick check
For a proper fraction, the decimal should fall between 0 and 1.
Domain 19 of 20
Hemodynamic Indices
Hemodynamic Indices is included because it matches expected quantitative work for this provider level. Paramedic scope supports medication, infusion, airway/ventilation, oxygen, cardiac, and operational calculations expected in advanced EMS practice.
2%MMM blueprint weight
Example
Estimate MAP using (SBP + 2×DBP) ÷ 3 for a blood pressure of 120/80.
Setup / reasoning
(120 + 2×80) ÷ 3 = 93.3 mmHg.
Answer
93.333 mmHg
Quick check
For estimated MAP, DBP is weighted twice; the result should fall between systolic and diastolic pressures.
Domain 20 of 20
Lab Interpretation Math
Lab Interpretation Math is included because it matches expected quantitative work for this provider level. Paramedic scope supports medication, infusion, airway/ventilation, oxygen, cardiac, and operational calculations expected in advanced EMS practice.
2%MMM blueprint weight
Example
A measured value is 6 and the comparison/reference value is 4. By what percentage is the measured value higher?
Setup / reasoning
(6 − 4) ÷ 4 × 100 = 50%.
Answer
50 %
Quick check
Use the correct reference value in the denominator when computing percentage change.
Important scope note
Educational examples, not patient-specific clinical direction
These examples are designed to make quantitative relationships visible. They do not replace local protocols, medication references, device instructions, scope-of-practice requirements, official credentialing test plans, or clinical judgment. MedMathMindset uses the provider blueprint to organize math practice—not to redefine professional scope.
Provider blueprint snapshot generated from MedMathMindset's canonical provider-domain layer. Printed copies should be refreshed periodically as MedMathMindset updates provider scope and instructional weighting.
MedMathMindset.com · Paramedic Math Atlas · Printable provider math reference