Ace your nursing school entrance exam on the first try with this complete, up-to-date
study guide for the NLN PAX Mathematics (MATH 1) test.
What Is Included
• Real Exam-Style Questions: Practice with questions that match the exact
format, style, and difficulty of the actual NLN PAX Math exam.
• 100% Verified Answers: Every question comes with a correct, verified
answer to ensure you study the right material.
• Step-by-Step Explanations: Clear breakdowns for complex arithmetic,
algebra, geometry, and word problems so you understand how to solve them.
Key Topics Covered
• Basic arithmetic (fractions, decimals, percentages, ratios)
• Elementary algebra (solving equations, word problems)
• Basic geometry (perimeters, areas, volumes)
• Data interpretation, graphs, and basic statistics
• Metric and customary unit conversions
Why You Need This Guide
• Save Time: Skip fluff textbooks and focus only on high-yield math concepts
tested on the exam.
• Boost Your Score: Build test-day confidence and secure the competitive
math score required for top nursing programs.
• Instant Access: Download the digital file immediately after purchase and
start studying right away.
1. Which of these fractions equals 40%?
•
• A.) $1/4$
• B.) 2/5
• C.) $4/5$
• D.) $5/2$
•
Correct ANSWER✅: B.) 2/5
1
, Rationale: To convert a percentage to a fraction, place the percentage over $100$ and
simplify:
$$\frac{40}{100} = \frac{4}{10} = \frac{2}{5}$$
Alternatively, dividing $2$ by $5$ gives $0.4$, which equals $40\%$.
2. Solve: $8 \times [7 - 3(12 - 2) / 5]$
•
• A.) $0$
• B.) 8
• C.) $16$
• D.) $64$
•
Correct ANSWER✅: B.) 8
Rationale: Following the order of operations (PEMDAS):
1. Parentheses: $12 - 2 = 10$
2. Multiplication/Division inside brackets: $3 \times 10 = 30$, then $ = 6$
3. Subtraction inside brackets: $7 - 6 = 1$
4. Final multiplication: $8 \times 1 = 8$
3. Of 60 patients treated with a certain medication, 24 showed no
improvement. What percent of patients improved?
•
• A.) 60%
• B.) $40\%$
• C.) $36\%$
• D.) $24\%$
•
Correct ANSWER✅: A.) 60%
Rationale: First, find the number of patients who improved: $60 - 24 = 36$ patients. Next,
calculate the percentage out of the total group:
$$\frac{36}{60} = 0.60 = 60\%$$
4. How much simple interest will be paid on a $500 loan for 1 year if
the annual interest rate is 6%?
•
• A.) $\$3,000.00$
• B.) $\$530.00$
• C.) $\$120.00$
2
, • D.) $30.00
•
Correct ANSWER✅: D.) $30.00
Rationale: Use the simple interest formula ($I = P \times r \times t$), where Principal ($P$)
= $\$500$, rate ($r$) = $0.06$, and time ($t$) = $1$ year:
$$I = 500 \times 0.06 \times 1 = \$30.00$$
5. If $x = 4$, find $x^3$.
•
• A.) $12$
• B.) $16$
• C.) 64
• D.) $256$
•
Correct ANSWER✅: C.) 64
Rationale: Cubing a number means multiplying it by itself three times:
$$4^3 = 4 \times 4 \times 4 = 16 \times 4 = 64$$
6. The dosage of a certain medication is determined by a patient's
body weight. This medication's dosage is 2.5 mg per kilogram of body
weight. What would be the dose for a patient who weighs 72 pounds?
(1 lb = 0.453 kg. Doses are rounded to the nearest 25 mg.)
•
• A.) 75 mg
• B.) $100\text{ mg}$
• C.) $375\text{ mg}$
• D.) $400\text{ mg}$
•
Correct ANSWER✅: A.) 75 mg
Rationale:
1. Convert weight to kilograms: $72\text{ lbs} \times 0.453\text{ kg/lb} = 32.616\text{
kg}$
2. Calculate base dosage: $32.616\text{ kg} \times 2.5\text{ mg/kg} = 81.54\text{ mg}$
3. Rounding $81.54\text{ mg}$ to the nearest $25\text{ mg}$ gives $75\text{ mg}$
(since $81.54$ is closer to $75$ than to $100$).
7. What is the area of a rectangle that is 4 feet wide and 9 feet long?
3
study guide for the NLN PAX Mathematics (MATH 1) test.
What Is Included
• Real Exam-Style Questions: Practice with questions that match the exact
format, style, and difficulty of the actual NLN PAX Math exam.
• 100% Verified Answers: Every question comes with a correct, verified
answer to ensure you study the right material.
• Step-by-Step Explanations: Clear breakdowns for complex arithmetic,
algebra, geometry, and word problems so you understand how to solve them.
Key Topics Covered
• Basic arithmetic (fractions, decimals, percentages, ratios)
• Elementary algebra (solving equations, word problems)
• Basic geometry (perimeters, areas, volumes)
• Data interpretation, graphs, and basic statistics
• Metric and customary unit conversions
Why You Need This Guide
• Save Time: Skip fluff textbooks and focus only on high-yield math concepts
tested on the exam.
• Boost Your Score: Build test-day confidence and secure the competitive
math score required for top nursing programs.
• Instant Access: Download the digital file immediately after purchase and
start studying right away.
1. Which of these fractions equals 40%?
•
• A.) $1/4$
• B.) 2/5
• C.) $4/5$
• D.) $5/2$
•
Correct ANSWER✅: B.) 2/5
1
, Rationale: To convert a percentage to a fraction, place the percentage over $100$ and
simplify:
$$\frac{40}{100} = \frac{4}{10} = \frac{2}{5}$$
Alternatively, dividing $2$ by $5$ gives $0.4$, which equals $40\%$.
2. Solve: $8 \times [7 - 3(12 - 2) / 5]$
•
• A.) $0$
• B.) 8
• C.) $16$
• D.) $64$
•
Correct ANSWER✅: B.) 8
Rationale: Following the order of operations (PEMDAS):
1. Parentheses: $12 - 2 = 10$
2. Multiplication/Division inside brackets: $3 \times 10 = 30$, then $ = 6$
3. Subtraction inside brackets: $7 - 6 = 1$
4. Final multiplication: $8 \times 1 = 8$
3. Of 60 patients treated with a certain medication, 24 showed no
improvement. What percent of patients improved?
•
• A.) 60%
• B.) $40\%$
• C.) $36\%$
• D.) $24\%$
•
Correct ANSWER✅: A.) 60%
Rationale: First, find the number of patients who improved: $60 - 24 = 36$ patients. Next,
calculate the percentage out of the total group:
$$\frac{36}{60} = 0.60 = 60\%$$
4. How much simple interest will be paid on a $500 loan for 1 year if
the annual interest rate is 6%?
•
• A.) $\$3,000.00$
• B.) $\$530.00$
• C.) $\$120.00$
2
, • D.) $30.00
•
Correct ANSWER✅: D.) $30.00
Rationale: Use the simple interest formula ($I = P \times r \times t$), where Principal ($P$)
= $\$500$, rate ($r$) = $0.06$, and time ($t$) = $1$ year:
$$I = 500 \times 0.06 \times 1 = \$30.00$$
5. If $x = 4$, find $x^3$.
•
• A.) $12$
• B.) $16$
• C.) 64
• D.) $256$
•
Correct ANSWER✅: C.) 64
Rationale: Cubing a number means multiplying it by itself three times:
$$4^3 = 4 \times 4 \times 4 = 16 \times 4 = 64$$
6. The dosage of a certain medication is determined by a patient's
body weight. This medication's dosage is 2.5 mg per kilogram of body
weight. What would be the dose for a patient who weighs 72 pounds?
(1 lb = 0.453 kg. Doses are rounded to the nearest 25 mg.)
•
• A.) 75 mg
• B.) $100\text{ mg}$
• C.) $375\text{ mg}$
• D.) $400\text{ mg}$
•
Correct ANSWER✅: A.) 75 mg
Rationale:
1. Convert weight to kilograms: $72\text{ lbs} \times 0.453\text{ kg/lb} = 32.616\text{
kg}$
2. Calculate base dosage: $32.616\text{ kg} \times 2.5\text{ mg/kg} = 81.54\text{ mg}$
3. Rounding $81.54\text{ mg}$ to the nearest $25\text{ mg}$ gives $75\text{ mg}$
(since $81.54$ is closer to $75$ than to $100$).
7. What is the area of a rectangle that is 4 feet wide and 9 feet long?
3
