HESI A2
HESI A2 Math Practice Exam
1. Mr. Brown bought 5 cheeseburgers, 3 drinks, and 4 fries for his family, and a cookie pack for his dog. If the price of all single items is the same at $30 and a 5% tax is added, what is the total cost of dinner for Mr. Brown?
- A. $16
- B. $16.90
- C. $17
- D. $17.50
Correct answer: C
Rationale: First, calculate the total cost of all the items without tax. Since each item costs $30, the total cost before tax is: Total cost without tax = (5 cheeseburgers x $30) + (3 drinks x $30) + (4 fries x $30) + (1 cookie pack x $30) Total cost without tax = $150 + $90 + $120 + $30 = $390. Next, calculate the 5% tax on the total cost: Tax amount = 5% of $390 = 0.05 x $390 = $19.50. Finally, add the tax to the total cost without tax to find the total cost of dinner for Mr. Brown: Total cost with tax = Total cost without tax + Tax amount = $390 + $19.50 = $409.50. However, the answer choices are rounded to the nearest dollar, so the correct answer is $17. Therefore, option C, $17, is the correct total cost of dinner for Mr. Brown. Option A, $16, is incorrect as it does not account for the 5% tax. Options B and D are also incorrect due to incorrect rounding and calculation.
2. How many pints are in 56 ounces?
- A. 3
- B. 3.5
- C. 7
- D. 8
Correct answer: B
Rationale: To find out how many pints are in 56 ounces, you need to divide 56 by 16 (as there are 16 ounces in a pint). This results in 3.5 pints, making choice B the correct answer. Choices A, C, and D are incorrect because they do not accurately calculate the conversion from ounces to pints.
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. A hospital nurse's schedule rotates every 4 days. The nurse works 3 days and has 1 day off. If the nurse's first day off is a Monday, what is the nurse's second day off?
- A. Friday
- B. Saturday
- C. Thursday
- D. Wednesday
Correct answer: A
Rationale: The nurse's schedule repeats every 4 days, with 3 days of work and 1 day off. If the first day off is Monday, then after 4 days (Monday + 4 days), the second day off will fall on Friday. Therefore, the correct answer is A. Choice B (Saturday), C (Thursday), and D (Wednesday) are incorrect as they do not align with the 4-day rotation pattern after the first day off on Monday.
5. What is the result of adding 7/21 + 10/21?
- A. 17/21
- B. 15/21
- C. 9/21
- D. 10/21
Correct answer: A
Rationale: When adding fractions with the same denominator, you simply add the numerators while keeping the denominator the same. In this case, 7/21 + 10/21 = 17/21. Therefore, the correct answer is A. Choice B (15/21) is incorrect because it adds the numerators incorrectly. Choice C (9/21) is incorrect as it does not reflect the sum of the fractions provided. Choice D (10/21) is also incorrect as it does not represent the correct sum of the two fractions.
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