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MedMathMindset Provider Math Atlas · Pharmacy Technician

Pharmacy Technician math, one domain at a time.

This free guide turns the current MedMathMindset Pharmacy Technician math blueprint into a practical map: every included domain, its MedMathMindset instructional weight, one worked example, and a quick reasonableness check.

Blueprint snapshot

12 domains · 100% total instructional weight

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 12

Dilution / Reconstitution

Dilution / Reconstitution is included because it matches expected quantitative work for this provider level. Pharmacy-technician scope emphasizes prescription processing, compounding, dose/concentration/dilution calculations, and safety verification—not bedside pump/drip management.
12%MMM blueprint weight
Example

After preparation, 500 mg is contained in 10 mL. How many mL contain 100 mg?

Setup / reasoning

100 × 10 ÷ 500 = 2 mL.

Answer

2 mL

Quick check

Convert to a usable concentration first, then solve for the amount needed.

Domain 2 of 12

Dimensional Analysis

Dimensional Analysis is included because it matches expected quantitative work for this provider level. Pharmacy-technician scope emphasizes prescription processing, compounding, dose/concentration/dilution calculations, and safety verification—not bedside pump/drip management.
12%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 3 of 12

Medication Dose Calculations

Medication Dose Calculations is included because it matches expected quantitative work for this provider level. Pharmacy-technician scope emphasizes prescription processing, compounding, dose/concentration/dilution calculations, and safety verification—not bedside pump/drip management.
12%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 4 of 12

Pharmacy Compounding

Pharmacy Compounding is included because it matches expected quantitative work for this provider level. Pharmacy-technician scope emphasizes prescription processing, compounding, dose/concentration/dilution calculations, and safety verification—not bedside pump/drip management.
12%MMM blueprint weight
Example

A preparation uses 2 g per 100 mL. How many grams are needed for 250 mL?

Setup / reasoning

2 × 250 ÷ 100 = 5 g.

Answer

5 g

Quick check

Keep the formulation ratio constant as the batch size changes.

Domain 5 of 12

Ratios / Proportions

Ratios / Proportions is included because it matches expected quantitative work for this provider level. Pharmacy-technician scope emphasizes prescription processing, compounding, dose/concentration/dilution calculations, and safety verification—not bedside pump/drip management.
10%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 6 of 12

Unit Conversions

Unit Conversions is included because it matches expected quantitative work for this provider level. Pharmacy-technician scope emphasizes prescription processing, compounding, dose/concentration/dilution calculations, and safety verification—not bedside pump/drip management.
10%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 7 of 12

Percentages

Percentages is included because it matches expected quantitative work for this provider level. Pharmacy-technician scope emphasizes prescription processing, compounding, dose/concentration/dilution calculations, and safety verification—not bedside pump/drip management.
8%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 8 of 12

Weight-Based Dosing

Weight-Based Dosing is included because it matches expected quantitative work for this provider level. Pharmacy-technician scope emphasizes prescription processing, compounding, dose/concentration/dilution calculations, and safety verification—not bedside pump/drip management.
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 9 of 12

Concentration / Osmolarity

Concentration / Osmolarity is included because it matches expected quantitative work for this provider level. Pharmacy-technician scope emphasizes prescription processing, compounding, dose/concentration/dilution calculations, and safety verification—not bedside pump/drip management.
5%MMM blueprint weight
Example

A 5% w/v solution contains 5 g per 100 mL. How many grams are in 500 mL?

Setup / reasoning

5 × 500 ÷ 100 = 25 g.

Answer

25 g

Quick check

A percentage concentration is a relationship; scale both quantity and volume proportionally.

Domain 10 of 12

Fractions / Decimals

Fractions / Decimals is included because it matches expected quantitative work for this provider level. Pharmacy-technician scope emphasizes prescription processing, compounding, dose/concentration/dilution calculations, and safety verification—not bedside pump/drip management.
4%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 11 of 12

Whole Number Operations

Whole Number Operations is included because it matches expected quantitative work for this provider level. Pharmacy-technician scope emphasizes prescription processing, compounding, dose/concentration/dilution calculations, and safety verification—not bedside pump/drip management.
4%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 12 of 12

Provider Operations Math

Provider Operations Math is included because it matches expected quantitative work for this provider level. Pharmacy-technician scope emphasizes prescription processing, compounding, dose/concentration/dilution calculations, and safety verification—not bedside pump/drip management.
3%MMM blueprint weight
Example

A device has 600 usable units and consumes 10 units each minute. Ignoring reserve, how many minutes will it run?

Setup / reasoning

600 ÷ 10 = 60 minutes.

Answer

60 min

Quick check

A quantity divided by a consumption rate should produce a time or capacity that fits the operating context.

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.

MedMathMindset.com · Pharmacy Technician Math Atlas · Printable provider math reference