HESI A2
HESI A2 Math Practice Exam
1. What is 2/3 of 60 + 1/5 of 75?
- A. 45
- B. 55
- C. 15
- D. 50
Correct answer: B
Rationale: To solve the expression, first calculate 2/3 of 60 by multiplying 60 by 2/3, which equals 40. Then, calculate 1/5 of 75 by multiplying 75 by 1/5, which equals 15. Finally, add these results together: 40 + 15 = 55. Therefore, the correct answer is 55. Choice A (45) is incorrect because it seems to be the sum of the two fractions, not their individual calculations. Choice C (15) is incorrect because it only represents 1/5 of 75. Choice D (50) is incorrect as it might be a miscalculation of the sum of the two fractions.
2. The price dropped from $200 to $150. By what percentage did the price decrease?
- A. 5%
- B. 10%
- C. 20%
- D. 25%
Correct answer: D
Rationale: The difference between the original price ($200) and the new price ($150) is $50. To find the percentage decrease, divide the difference by the original price and multiply by 100: ($50 / $200) × 100 = 25%. Therefore, the correct answer is D, meaning the price decreased by 25%. Choices A, B, and C are incorrect as they do not accurately represent the percentage decrease in price.
3. A water fountain has a spherical base with a diameter of 50cm and a cylindrical body with a diameter of 30cm and a height of 80cm. What is the total surface area of the fountain (excluding the water surface)?
- A. 3142 sq cm
- B. 4712 sq cm
- C. 5486 sq cm
- D. 7957 sq cm
Correct answer: C
Rationale: To find the total surface area of the fountain, we first calculate the surface area of the sphere and the cylinder separately. For the sphere: - Radius = Diameter / 2 = 50 / 2 = 25 cm - Surface area of a sphere = 4πr² = 4 x π x 25² = 500π cm² For the cylinder: - Radius = Diameter / 2 = 30 / 2 = 15 cm - Surface area of a cylinder = 2πrh + 2πr² = 2 x π x 15 x 80 + 2 x π x 15² = 240π + 450π = 690π cm² Total surface area = Surface area of sphere + Surface area of cylinder = 500π + 690π = 1190π cm² ≈ 5486 sq cm. Therefore, the correct answer is C. Choice A (3142 sq cm) is incorrect as it is much smaller than the correct answer. Choices B and D are also incorrect as they do not reflect the accurate calculation of the total surface area of the fountain.
4. If y = 4 and x = 3, solve y x³
- A. -108
- B. 108
- C. 27
- D. 4
Correct answer: B
Rationale: With y = 4 and x = 3, the expression is y × x³. Substituting the values, we get 4 × 3³ = 4 × 27 = 108. Therefore, the correct answer is 108. Option A (-108) is incorrect because the negative sign is not part of the result. Option C (27) is incorrect as it only represents x³ without considering the value of y. Option D (4) is incorrect as it represents the initial value of y, not the result of y × x³.
5. What is the result of multiplying 8 by 2?
- A. 16
- B. 22
- C. 24
- D. 32
Correct answer: A
Rationale: The correct answer is A: 16. When you multiply 8 by 2, the result is 16. Choice B (22), Choice C (24), and Choice D (32) are incorrect as they do not represent the correct multiplication of 8 by 2.
Similar Questions
Access More Features
HESI A2 Basic
$49/ 30 days
- 3,000 Questions with answers
- 30 days access
HESI A2 Premium
$99/ 90 days
- Actual HESI A2 Questions
- 3,000 questions with answers
- 90 days access