HESI A2 Mathematics 2024/2025 V1–V3 Edition – 100% Correct Answers with Step-by-Step Calculations and Reasoning

HESI A2 Mathematics 2024/2025 V1–V3 Edition – 100% Correct
Answers with Step-by-Step Calculations and Reasoning

Below are 80 unique multiple-choice mathematics questions tailored for the HESI
A2 exam (versions V1–V3), covering arithmetic, algebra, conversions, percent-
ages, ratios, and word problems. Each question includes four answer choices,
the correct answer, and a step-by-step explanation to ensure clarity. The con-
tent is formatted for professional PDF export and avoids duplication.
Question 1: What is the sum of 3
4
and 25 ?
A. 5
9

B. 23
20

C. 6
9

D. 15
20

Correct Answer: B. 23 20
Explanation: To add fractions, find a common denominator. The least
common multiple of 4 and 5 is 20. Convert: 34 = 3×5 4×5
= 15 , 2 = 2×4
20 5 5×4
8
= 20 .
Add: 20 + 20 = 20 . Since 23 is prime, the fraction is in simplest form.
15 8 23


Question 2: Solve for x: 2x + 7 = 15.
A. 3
B. 4
C. 5
D. 6
Correct Answer: B. 4
Explanation: Subtract 7 from both sides: 2x + 7 − 7 = 15 − 7, so 2x = 8.
Divide by 2: x = 28 = 4. Verify: 2(4) + 7 = 8 + 7 = 15.
Question 3: Convert 2.5 liters to milliliters.
A. 250 mL
B. 2500 mL
C. 25 mL
D. 25000 mL
Correct Answer: B. 2500 mL
Explanation: 1 liter = 1000 milliliters. Multiply: 2.5 × 1000 = 2500 mL.
Question 4: What is 15% of 80?
A. 10
B. 12
C. 15


1

, D. 18
Correct Answer: B. 12
Explanation: Convert 15% to a decimal: 15% = 0.15. Multiply: 0.15 × 80 =
12. Alternatively, 100
15
× 80 = 1200
100
= 12.
Question 5: Simplify the ratio 18:24.
A. 3:4
B. 2:3
C. 4:5
D. 1:2
Correct Answer: A. 3:4
Explanation: Divide both numbers by their greatest common divisor, 6:
18
6
= 3, 24
6
= 4. The simplified ratio is 3:4.
Question 6: A nurse administers 3 tablets of 250 mg each. What is the total dosage in
grams?
A. 0.75 g
B. 7.5 g
C. 0.075 g
D. 750 g
Correct Answer: A. 0.75 g
Explanation: Total dosage in mg: 3 × 250 = 750 mg. Convert to grams (1 g
= 1000 mg): 750 ÷ 1000 = 0.75 g.
Question 7: What is 4.2 × 103 in standard form?
A. 420
B. 4200
C. 42000
D. 0.0042
Correct Answer: B. 4200
Explanation: Move the decimal point 3 places to the right: 4.2×1000 = 4200.
Question 8: Solve: x
3
= 12.
A. 4
B. 9
C. 36
D. 48
Correct Answer: C. 36
Explanation: Multiply both sides by 3: x = 12 × 3 = 36. Verify: 36
3
= 12.


2

, 5(F −32)
Question 9: Convert 98.6°F to Celsius (use C = 9
).
A. 37°C
B. 32°C
C. 40°C
D. 35°C
Correct Answer: A. 37°C
Explanation: Substitute F = 98.6: C = 5(98.6−32)
9
= 5×66.6
9
= 333
9
≈ 37. Round
to the nearest whole number: 37°C.
Question 10: A medication is discounted by 20%. If the original price is $50, what is the
sale price?
A. $40
B. $45
C. $30
D. $42
Correct Answer: A. $40
Explanation: Discount: 20% × 50 = 0.2 × 50 = 10. Sale price: 50 − 10 = 40.
Alternatively, sale price is 80% × 50 = 0.8 × 50 = 40.
Question 11: What is the product of 2
3
and 94 ?
A. 3
2

B. 18
12

C. 11
7

D. 6
4

Correct Answer: A. 32
Explanation: Multiply numerators and denominators: 2×9
3×4
= 18
12
. Simplify
by dividing by 6: 18÷6
12÷6
= 32 .
Question 12: Solve for y: 3y − 5 = 10.
A. 3
B. 5
C. 4
D. 6
Correct Answer: B. 5
Explanation: Add 5 to both sides: 3y = 15. Divide by 3: y = 15
3
= 5. Verify:
3(5) − 5 = 15 − 5 = 10.
Question 13: Convert 3 miles to feet (1 mile = 5280 feet).
A. 15840 ft


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