HESI A2 Mathematics 2024/2025 – 100% Verified
Answers with Expert Math Explanations
Instructions
The following 80 multiple-choice questions are designed for the HESI A2 Mathematics
section (V1, V2, and V3 exams). Topics include fractions, ratios, algebra, conversions,
word problems, percentages, and dosage calculations. Select the best answer from the
four options (A–D) provided. The correct answer is marked, followed by a step-by-step
explanation.
Question 1: Simplify 36
48
.
3
A. 4
B. 68
9
C. 12
3
D. 4 (Correct)
Explanation: Find the greatest common divisor (GCD) of 36 and 48, which is 12.
Divide: 36÷12
48÷12
= 34 . Options B and C are equivalent but not fully simplified.
Question 2: A recipe uses milk and water in a 3:2 ratio. If 12 cups of milk are used, how many
cups of water are needed?
A. 6
B. 7
C. 8 (Correct)
D. 9
Explanation: Ratio milk:water = 3:2. Set up proportion: 32 = 12 x
. Cross-multiply:
3x = 2 × 12 = 24 =⇒ x = 3 = 8. Option C is correct.
24
Question 3: Solve for x: 5x + 4 = 24.
A. 3
B. 4 (Correct)
C. 5
D. 6
Explanation: Subtract 4: 5x = 24 − 4 = 20. Divide by 5: x = 20
5
= 4. Verify:
5(4) + 4 = 24. Options A, C, and D do not satisfy.
Question 4: Convert 3.6 kilograms to grams.
A. 360 g
B. 3600 g
C. 3600 g (Correct)
D. 36000 g
Explanation: 1 kg = 1000 g. Thus, 3.6×1000 = 3600 g. Options A and D misapply
the conversion factor.
Question 5: A nurse travels 45 miles in 0.75 hours. What is the speed in miles per hour?
1
, A. 50 mph
B. 55 mph
C. 60 mph (Correct)
D. 65 mph
Explanation: Speed = distance ÷ time = 45 ÷ 0.75 = 45 × 4
3
= 60 mph. Options
A, B, and D miscalculate.
Question 6: What is 18% of 200?
A. 32
B. 34
C. 36 (Correct)
D. 38
Explanation: 18% = 0.18. Calculate: 0.18 × 200 = 36. Options A, B, and D
miscalculate the percentage.
Question 7: A patient requires 3 mg of a drug per kg of body weight. How much is needed for
a 60-kg patient?
A. 160 mg
B. 170 mg
C. 180 mg (Correct)
D. 190 mg
Explanation: Dosage: 3 × 60 = 180 mg. Options A, B, and D miscalculate the
product.
Question 8: Add 35 + 23 .
A. 58
B. 19
15
C. 1915
(Correct)
D. 68
3 9 2 10 9
Explanation: Common denominator is 15. Convert: 5
= ,
15 3
= 15
. Add: 15
+ 10
15
=
19
15
. Options A and D are incorrect.
Question 9: A solution has acid and water in a 1:4 ratio. If 5 liters of acid are used, how much
water is needed?
A. 15 liters
B. 18 liters
C. 20 liters (Correct)
D. 22 liters
Explanation: Ratio acid:water = 1:4. Proportion: 14 = x5 . Cross-multiply: x =
4 × 5 = 20. Option C is correct.
Question 10: Solve for y: 2y − 9 = y + 3.
A. 10
B. 11
C. 12 (Correct)
D. 13
Explanation: Subtract y: y − 9 = 3. Add 9: y = 12. Verify: 2(12) − 9 = 15,
12 + 3 = 15. Options A, B, and D fail.
Question 11: Convert 96 ounces to pounds.
A. 5 pounds
2
Answers with Expert Math Explanations
Instructions
The following 80 multiple-choice questions are designed for the HESI A2 Mathematics
section (V1, V2, and V3 exams). Topics include fractions, ratios, algebra, conversions,
word problems, percentages, and dosage calculations. Select the best answer from the
four options (A–D) provided. The correct answer is marked, followed by a step-by-step
explanation.
Question 1: Simplify 36
48
.
3
A. 4
B. 68
9
C. 12
3
D. 4 (Correct)
Explanation: Find the greatest common divisor (GCD) of 36 and 48, which is 12.
Divide: 36÷12
48÷12
= 34 . Options B and C are equivalent but not fully simplified.
Question 2: A recipe uses milk and water in a 3:2 ratio. If 12 cups of milk are used, how many
cups of water are needed?
A. 6
B. 7
C. 8 (Correct)
D. 9
Explanation: Ratio milk:water = 3:2. Set up proportion: 32 = 12 x
. Cross-multiply:
3x = 2 × 12 = 24 =⇒ x = 3 = 8. Option C is correct.
24
Question 3: Solve for x: 5x + 4 = 24.
A. 3
B. 4 (Correct)
C. 5
D. 6
Explanation: Subtract 4: 5x = 24 − 4 = 20. Divide by 5: x = 20
5
= 4. Verify:
5(4) + 4 = 24. Options A, C, and D do not satisfy.
Question 4: Convert 3.6 kilograms to grams.
A. 360 g
B. 3600 g
C. 3600 g (Correct)
D. 36000 g
Explanation: 1 kg = 1000 g. Thus, 3.6×1000 = 3600 g. Options A and D misapply
the conversion factor.
Question 5: A nurse travels 45 miles in 0.75 hours. What is the speed in miles per hour?
1
, A. 50 mph
B. 55 mph
C. 60 mph (Correct)
D. 65 mph
Explanation: Speed = distance ÷ time = 45 ÷ 0.75 = 45 × 4
3
= 60 mph. Options
A, B, and D miscalculate.
Question 6: What is 18% of 200?
A. 32
B. 34
C. 36 (Correct)
D. 38
Explanation: 18% = 0.18. Calculate: 0.18 × 200 = 36. Options A, B, and D
miscalculate the percentage.
Question 7: A patient requires 3 mg of a drug per kg of body weight. How much is needed for
a 60-kg patient?
A. 160 mg
B. 170 mg
C. 180 mg (Correct)
D. 190 mg
Explanation: Dosage: 3 × 60 = 180 mg. Options A, B, and D miscalculate the
product.
Question 8: Add 35 + 23 .
A. 58
B. 19
15
C. 1915
(Correct)
D. 68
3 9 2 10 9
Explanation: Common denominator is 15. Convert: 5
= ,
15 3
= 15
. Add: 15
+ 10
15
=
19
15
. Options A and D are incorrect.
Question 9: A solution has acid and water in a 1:4 ratio. If 5 liters of acid are used, how much
water is needed?
A. 15 liters
B. 18 liters
C. 20 liters (Correct)
D. 22 liters
Explanation: Ratio acid:water = 1:4. Proportion: 14 = x5 . Cross-multiply: x =
4 × 5 = 20. Option C is correct.
Question 10: Solve for y: 2y − 9 = y + 3.
A. 10
B. 11
C. 12 (Correct)
D. 13
Explanation: Subtract y: y − 9 = 3. Add 9: y = 12. Verify: 2(12) − 9 = 15,
12 + 3 = 15. Options A, B, and D fail.
Question 11: Convert 96 ounces to pounds.
A. 5 pounds
2
