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Quizzes > High School Quizzes > Career

HOSA Medical Math Practice Quiz

Sharpen skills with HOSA pharmacology practice test

Difficulty: Moderate
Grade: Grade 11
Study OutcomesCheat Sheet
Paper art illustrating a trivia quiz on pharmaceutical math for high school students.

A vial contains 10 mL of solution with a concentration of 20 mg/mL. How many mg of medication are in the vial?
200 mg
250 mg
100 mg
150 mg
Multiplying the volume by the concentration (10 mL x 20 mg/mL) gives 200 mg of medication. This problem tests the understanding of how to calculate total dosage from concentration and volume.
If a prescription requires 250 mg of a drug and you have a solution that contains 5 mg/mL, how many mL of solution are needed?
55 mL
60 mL
45 mL
50 mL
Dividing the total dose required (250 mg) by the concentration (5 mg/mL) yields 50 mL. This basic calculation reinforces the concept of using division to determine volume.
Convert 1 gram to milligrams.
0.1 mg
1000 mg
10,000 mg
100 mg
There are 1000 milligrams in 1 gram. This conversion is a fundamental metric system calculation.
A patient weighs 70 kg and the prescribed medication dose is 2 mg per kg. What is the total required dose in mg?
100 mg
120 mg
140 mg
160 mg
Multiplying the patient's weight (70 kg) by the dose per kg (2 mg/kg) results in a total dose of 140 mg. This problem applies multiplicative reasoning to dosage calculation.
A medication is labeled as a 0.5% solution. How many grams of solute are present in 100 mL of this solution?
0.5 g
0.05 g
50 g
5 g
A 0.5% solution means there are 0.5 grams of solute per 100 mL of solution. This question reinforces understanding of percentage concentration in pharmaceutical preparations.
A liquid antibiotic is available at 250 mg/5 mL. How many mg are present in 20 mL of the antibiotic?
1250 mg
500 mg
750 mg
1000 mg
The concentration is 250 mg per 5 mL, which equals 50 mg per 1 mL. Multiplying 50 mg/mL by 20 mL gives 1000 mg, verifying the correct answer.
A doctor orders a dosage of 0.75 mg per kg for a patient weighing 60 kg. What is the total dose in mg?
50 mg
40 mg
45 mg
55 mg
Multiplying 60 kg by 0.75 mg/kg results in a total dose of 45 mg. This is a straightforward application of unit dosage based on patient weight.
To prepare 500 mL of a 2% glucose solution, how many grams of glucose are required?
10 g
20 g
5 g
15 g
A 2% solution contains 2 grams of glucose per 100 mL. For 500 mL, multiplying 2 g by 5 gives a total of 10 g. This exercise reinforces proportion scaling in solution preparation.
Convert 0.25 liters to milliliters.
750 mL
250 mL
25 mL
125 mL
Since 1 liter equals 1000 mL, 0.25 liters equals 250 mL. This is a basic unit conversion from liters to milliliters.
An IV infusion delivers 100 mL over 2 hours. What is the approximate IV rate in mL per minute?
0.83 mL/min
0.5 mL/min
1.2 mL/min
2 mL/min
Two hours is equal to 120 minutes, so dividing 100 mL by 120 minutes gives approximately 0.83 mL per minute. This calculation is essential for setting up proper IV drip rates.
A medication is available as 15 mg tablets. How many tablets must be administered to provide a total dose of 150 mg?
12 tablets
10 tablets
8 tablets
15 tablets
Dividing the total dose (150 mg) by the strength of each tablet (15 mg) results in 10 tablets. This problem reinforces the division of total dose by single-unit dose.
If 30 mL of a saline solution contains 2 mg of sodium, how much sodium is in 120 mL?
6 mg
10 mg
12 mg
8 mg
Since 120 mL is four times 30 mL, the amount of sodium is also multiplied by 4. Thus, 2 mg x 4 yields 8 mg of sodium.
A pediatric dose is calculated as 5 mg per 10 kg. If a child weighs 30 kg, what is the appropriate dose in mg?
20 mg
25 mg
10 mg
15 mg
Multiplying the child's weight (30 kg) by the dose per 10 kg (5 mg/10 kg) results in 15 mg. This demonstrates proportional reasoning in pediatric dosing.
For a drug with a concentration of 3 mg/mL, how many milliliters should be administered for a 9 mg dose?
6 mL
3 mL
4 mL
2 mL
Dividing the desired dose (9 mg) by the concentration (3 mg/mL) results in 3 mL. This is a direct application of the formula Dose = Concentration x Volume.
A medication is diluted by mixing 150 mL of drug with 50 mL of diluent. What is the final volume of the solution?
180 mL
200 mL
250 mL
210 mL
The final volume is the sum of the volumes of the drug and the diluent (150 mL + 50 mL), which equals 200 mL. This problem emphasizes adding volumes in dilution.
A hospital prepares a diluted antibiotic by adding 100 mg of the drug to 250 mL of saline. What is the concentration in mg/mL?
0.5 mg/mL
1 mg/mL
0.4 mg/mL
0.25 mg/mL
Dividing 100 mg of drug by 250 mL of saline gives a concentration of 0.4 mg/mL. This calculation is a direct application of the concentration formula.
A medication infusion is set to run at a rate of 2 mL per minute. How long, in minutes, will it take to infuse a 250 mL bag?
200 minutes
150 minutes
100 minutes
125 minutes
Dividing the total volume (250 mL) by the infusion rate (2 mL/min) results in 125 minutes. This problem applies the relationship between flow rate, volume, and time.
A prescription calls for converting a drug's dose from mg to mEq. If 2 mg of the drug equals 1 mEq, how many mEq are in a 100 mg dose?
50 mEq
25 mEq
75 mEq
100 mEq
Using the conversion factor, 100 mg divided by 2 mg per mEq results in 50 mEq. This conversion is crucial for accurately dosing electrolytes.
To compound a 0.1% active ingredient solution in 1 liter, how many milligrams of active ingredient are required if a 1% solution corresponds to 10 mg per 100 mL?
10 mg
50 mg
1 mg
100 mg
If a 1% solution requires 10 mg per 100 mL, then a 0.1% solution requires one-tenth that amount (1 mg per 100 mL). In 1 liter (which is 10 x 100 mL), 10 mg of active ingredient are needed.
A medication with a concentration of 0.25 mg/mL is infused, and due to a 20% increase in flow rate, the total volume infused exceeds the planned volume of 400 mL. What is the actual dose delivered in mg?
130 mg
120 mg
110 mg
100 mg
A 20% increase on the planned 400 mL results in 480 mL infused. Multiplying 480 mL by the concentration (0.25 mg/mL) gives an actual dose of 120 mg. This problem involves calculating percentage increase and then applying the concentration to find the dose.
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Study Outcomes

  1. Apply arithmetic operations to solve pharmaceutical dosage calculations.
  2. Analyze and convert measurement units in medical contexts.
  3. Interpret real-world pharmaceutical math problems to determine appropriate solutions.
  4. Evaluate the accuracy of computations used in medication dosages.

HOSA Medical Math Practice Test Cheat Sheet

  1. Master the metric system prefixes - Converting between kilograms, grams, milligrams, and micrograms becomes second nature when you internalize metric prefixes. This helps you avoid dosage disasters and boosts your confidence during speedy calculations. Pharmacy Math Basics
  2. Understand the apothecaries' system and household measures - Translating old‑school apothecary units (like grains and drams) and common household spoons into modern metrics keeps your dosing spot‑on. Precision here means safer meds and happier patients. Pharmacy Math Basics
  3. Learn to apply ratios and proportions - Ratios and proportions are your secret weapons for calculating exact drug dosages and solution strengths. Master them, and you'll tackle any prescription challenge with ease. Pharmacy Math Basics
  4. Familiarize yourself with the Henderson - Hasselbalch equation - Predicting how drugs ionize at different pH levels helps you anticipate solubility and absorption in the body. It's a game‑changer for designing effective formulations. Essential Pharmaceutical Equations
  5. Practice using the dilution equation - Dialing down concentrations or ramping them up is simple once you nail C₝V₝=C₂V₂. Regular practice ensures you'll never under- or overshoot your target. Essential Pharmaceutical Equations
  6. Understand specific gravity and density - Converting between weights and volumes hinges on knowing a substance's specific gravity or density. This skill is crucial when measuring liquids like syrups or suspensions. Pharmacy Math Basics
  7. Calculate body surface area (BSA) - BSA formulas personalize dosing, especially in chemotherapy where precision is paramount. It ensures each patient gets the safest, most effective dose. Pharmacy Math Basics
  8. Grasp milliequivalents (mEq) - Measuring ionic drug components in mEq lets you balance electrolytes and solutions accurately. This concept is vital for IV preparations and electrolyte therapies. Pharmacy Math Basics
  9. Respect significant figures - Keeping track of significant figures prevents rounding errors that can impact medication safety. Consistency in precision can make all the difference in patient outcomes. Pharmacy Math Basics
  10. Express concentrations in various units - Switching between percentage strength, parts per million, and molarity broadens your formulation toolkit. This versatility ensures accurate dosing across all pharmaceutical preparations. Pharmacy Math Basics
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