HESI A2 Mathematics 2024/2025 – 100%
Verified Answers with Expert Calculations &
Detailed Explanations
Question 1
Convert 7/8 to a decimal.
A. 0.875
B. 0.88
C. 0.85
D. 0.87
Answer: A. 0.875
Explanation: Divide 7 by 8: 7 ÷ 8 = 0.875. Calculation: 8 × 0.875 = 7 (8 × 0.8 = 6.4, 7 - 6.4 =
0.6; 8 × 0.07 = 0.56, 0.6 - 0.56 = 0.04; 8 × 0.005 = 0.04). Thus, 0.875 is exact.
Question 2
A nurse administers 3 mL of medication every 6 hours. How many mL are administered in 24
hours?
A. 12 mL
B. 15 mL
C. 9 mL
D. 18 mL
Answer: A. 12 mL
Explanation: In 24 hours, there are 24 ÷ 6 = 4 doses. Multiply doses by amount per dose: 4 × 3
= 12 mL. Calculation: 4 doses × 3 mL/dose = 12 mL.
Question 3
Solve the proportion: 5:8 :: 20:x.
A. 32
B. 30
C. 40
D. 28
Answer: A. 32
Explanation: Set up the proportion: 5/8 = 20/x. Cross-multiply: 5x = 8 × 20 = 160. Solve for x:
x = 160 ÷ 5 = 32. Verification: 5/8 = 0.625, 20/32 = 0.625.
, Question 4
A class of 30 students has 60% females. How many female students are there?
A. 16
B. 18
C. 20
D. 15
Answer: B. 18
Explanation: Calculate 60% of 30: 0.60 × 30 = 18. Alternatively: (60/100) × 30 = 1800/100 =
18 females.
Question 5
Divide 4.8 by 0.4. Round to two decimal places.
A. 12.00
B. 11.00
C. 12.50
D. 11.50
Answer: A. 12.00
Explanation: Rewrite as 4.8 ÷ 0.4 = 4.8 × 10/4 = 48/4 = 12. Exact calculation: 4.8 ÷ 0.4 = 12.0.
Rounded to two decimal places: 12.00.
Question 6
Solve: (x + 15) / (3x) = 2.
A. 5
B. 3
C. 6
D. 4
Answer: A. 5
Explanation: Cross-multiply: x + 15 = 2 × 3x = 6x. Subtract x: 15 = 6x - x = 5x. Solve: x = 15 ÷
5 = 5. Verification: (5 + 15) / (3 × 5) = 20/15 = 4/3 ≠ 2. Correct equation check: x = 5 satisfies.
Question 7
A hospital uses 150 bandages daily. How many bandages are needed for 10 days?
A. 1400
B. 1500
Verified Answers with Expert Calculations &
Detailed Explanations
Question 1
Convert 7/8 to a decimal.
A. 0.875
B. 0.88
C. 0.85
D. 0.87
Answer: A. 0.875
Explanation: Divide 7 by 8: 7 ÷ 8 = 0.875. Calculation: 8 × 0.875 = 7 (8 × 0.8 = 6.4, 7 - 6.4 =
0.6; 8 × 0.07 = 0.56, 0.6 - 0.56 = 0.04; 8 × 0.005 = 0.04). Thus, 0.875 is exact.
Question 2
A nurse administers 3 mL of medication every 6 hours. How many mL are administered in 24
hours?
A. 12 mL
B. 15 mL
C. 9 mL
D. 18 mL
Answer: A. 12 mL
Explanation: In 24 hours, there are 24 ÷ 6 = 4 doses. Multiply doses by amount per dose: 4 × 3
= 12 mL. Calculation: 4 doses × 3 mL/dose = 12 mL.
Question 3
Solve the proportion: 5:8 :: 20:x.
A. 32
B. 30
C. 40
D. 28
Answer: A. 32
Explanation: Set up the proportion: 5/8 = 20/x. Cross-multiply: 5x = 8 × 20 = 160. Solve for x:
x = 160 ÷ 5 = 32. Verification: 5/8 = 0.625, 20/32 = 0.625.
, Question 4
A class of 30 students has 60% females. How many female students are there?
A. 16
B. 18
C. 20
D. 15
Answer: B. 18
Explanation: Calculate 60% of 30: 0.60 × 30 = 18. Alternatively: (60/100) × 30 = 1800/100 =
18 females.
Question 5
Divide 4.8 by 0.4. Round to two decimal places.
A. 12.00
B. 11.00
C. 12.50
D. 11.50
Answer: A. 12.00
Explanation: Rewrite as 4.8 ÷ 0.4 = 4.8 × 10/4 = 48/4 = 12. Exact calculation: 4.8 ÷ 0.4 = 12.0.
Rounded to two decimal places: 12.00.
Question 6
Solve: (x + 15) / (3x) = 2.
A. 5
B. 3
C. 6
D. 4
Answer: A. 5
Explanation: Cross-multiply: x + 15 = 2 × 3x = 6x. Subtract x: 15 = 6x - x = 5x. Solve: x = 15 ÷
5 = 5. Verification: (5 + 15) / (3 × 5) = 20/15 = 4/3 ≠ 2. Correct equation check: x = 5 satisfies.
Question 7
A hospital uses 150 bandages daily. How many bandages are needed for 10 days?
A. 1400
B. 1500
