HESI A2 Math Exam 2025 – Verified
Questions with 100% Correct Answers
and Rationales
1. What is 3/4 of 24?
A. 12
B. 16
C. 18
D. 20
Answer: C
Rationale: To find 3/4 of 24, multiply 24 by 3/4: 24 × 3/4 = (24 × 3) ÷ 4 = 72 ÷ 4 = 18.
2. Convert 0.75 to a fraction in simplest form.
A. 3/4
B. 7/10
C. 75/100
D. 1/2
Answer: A
Rationale: 0.75 = 75/100. Simplify by dividing numerator and denominator by 25: 75 ÷
25 = 3, 100 ÷ 25 = 4, so 3/4.
3. What is 15% of 200?
A. 20
B. 30
C. 25
D. 15
Answer: B
Rationale: 15% of 200 = 0.15 × 200 = 30.
4. Add 2/3 + 1/6.
A. 3/9
B. 5/6
C. 1/2
D. 3/6
Answer: B
Rationale: Find a common denominator (6): 2/3 = 4/6. Then, 4/6 + 1/6 = 5/6.
5. Subtract 7.25 from 12.5.
A. 5.25
B. 4.75
C. 5.75
D. 6.25
Answer: A
Rationale: 12.5 − 7.25 = 12.50 − 7.25 = 5.25.
6. Multiply 0.4 by 0.8.
A. 0.32
, B. 0.48
C. 0.24
D. 0.64
Answer: A
Rationale: 0.4 × 0.8 = 0.32 (4 × 8 = 32, move decimal two places left).
7. Divide 56 by 0.7.
A. 80
B. 70
C. 84
D. 76
Answer: A
Rationale: 56 ÷ 0.7 = 56 ÷ 7/10 = 56 × 10/7 = 560/7 = 80.
8. What is the ratio of 12 to 18 in simplest form?
A. 2:3
B. 3:4
C. 4:5
D. 6:9
Answer: A
Rationale: Divide 12 and 18 by their GCD (6): 12 ÷ 6 = 2, 18 ÷ 6 = 3, so the ratio is 2:3.
9. Convert 5/8 to a decimal.
A. 0.625
B. 0.58
C. 0.825
D. 0.375
Answer: A
Rationale: 5 ÷ 8 = 0.625.
10. What is 20% of 50?
A. 10
B. 15
C. 20
D. 5
Answer: A
Rationale: 20% of 50 = 0.20 × 50 = 10.
11. Simplify 24/36.
A. 2/3
B. 3/4
C. 4/5
D. 1/2
Answer: A
Rationale: Divide 24 and 36 by their GCD (12): 24 ÷ 12 = 2, 36 ÷ 12 = 3, so 2/3.
12. What is 3.6 + 2.9?
A. 6.5
B. 5.5
C. 6.8
D. 7.2
Questions with 100% Correct Answers
and Rationales
1. What is 3/4 of 24?
A. 12
B. 16
C. 18
D. 20
Answer: C
Rationale: To find 3/4 of 24, multiply 24 by 3/4: 24 × 3/4 = (24 × 3) ÷ 4 = 72 ÷ 4 = 18.
2. Convert 0.75 to a fraction in simplest form.
A. 3/4
B. 7/10
C. 75/100
D. 1/2
Answer: A
Rationale: 0.75 = 75/100. Simplify by dividing numerator and denominator by 25: 75 ÷
25 = 3, 100 ÷ 25 = 4, so 3/4.
3. What is 15% of 200?
A. 20
B. 30
C. 25
D. 15
Answer: B
Rationale: 15% of 200 = 0.15 × 200 = 30.
4. Add 2/3 + 1/6.
A. 3/9
B. 5/6
C. 1/2
D. 3/6
Answer: B
Rationale: Find a common denominator (6): 2/3 = 4/6. Then, 4/6 + 1/6 = 5/6.
5. Subtract 7.25 from 12.5.
A. 5.25
B. 4.75
C. 5.75
D. 6.25
Answer: A
Rationale: 12.5 − 7.25 = 12.50 − 7.25 = 5.25.
6. Multiply 0.4 by 0.8.
A. 0.32
, B. 0.48
C. 0.24
D. 0.64
Answer: A
Rationale: 0.4 × 0.8 = 0.32 (4 × 8 = 32, move decimal two places left).
7. Divide 56 by 0.7.
A. 80
B. 70
C. 84
D. 76
Answer: A
Rationale: 56 ÷ 0.7 = 56 ÷ 7/10 = 56 × 10/7 = 560/7 = 80.
8. What is the ratio of 12 to 18 in simplest form?
A. 2:3
B. 3:4
C. 4:5
D. 6:9
Answer: A
Rationale: Divide 12 and 18 by their GCD (6): 12 ÷ 6 = 2, 18 ÷ 6 = 3, so the ratio is 2:3.
9. Convert 5/8 to a decimal.
A. 0.625
B. 0.58
C. 0.825
D. 0.375
Answer: A
Rationale: 5 ÷ 8 = 0.625.
10. What is 20% of 50?
A. 10
B. 15
C. 20
D. 5
Answer: A
Rationale: 20% of 50 = 0.20 × 50 = 10.
11. Simplify 24/36.
A. 2/3
B. 3/4
C. 4/5
D. 1/2
Answer: A
Rationale: Divide 24 and 36 by their GCD (12): 24 ÷ 12 = 2, 36 ÷ 12 = 3, so 2/3.
12. What is 3.6 + 2.9?
A. 6.5
B. 5.5
C. 6.8
D. 7.2
