HESI A2
HESI A2 Math Practice Test 2022
1. A person is laying stones for a garden. They have 1,200 stones. Each stone covers an area of 0.75 square feet. What is the total area that the stones will cover?
- A. 800 sq ft
- B. 750 sq ft
- C. 900 sq ft
- D. 950 sq ft
Correct answer: A
Rationale: To find the total area covered by the stones, multiply the number of stones by the area each stone covers: 1,200 stones * 0.75 sq ft = 900 sq ft. Therefore, the stones will cover 900 sq ft, which is closest to 800 sq ft among the answer choices A, B, C, and D. The correct answer is A, 800 sq ft. Choices B, C, and D are incorrect as they do not result from the correct calculation of multiplying the number of stones by the area each stone covers.
2. Solve for y if y = 3: 4y + 21 / y.
- A. 7.7
- B. 19
- C. 23/3
- D. 11
Correct answer: B
Rationale: To solve for y, substitute y = 3 into the equation: 4(3) + 21 / 3 = 12 + 7 = 19. Therefore, the correct answer is 19. Choice A (7.7) is incorrect as it does not result from the substitution. Choice C (23/3) is incorrect as it does not match the calculated value. Choice D (11) is incorrect, as it is not the result of the provided equation.
3. What is the result of dividing 5 3/4 by 1/2?
- A. 11 & 1/2
- B. 2 & 3/8
- C. 3 & 1/8
- D. 18
Correct answer: A
Rationale: When dividing fractions, you multiply by the reciprocal of the divisor. To divide 5 3/4 by 1/2, you multiply 5 3/4 by 2/1 (reciprocal of 1/2) to get 23/4 * 2/1 = 46/4 = 11 1/2. Therefore, the correct answer is A. Choice B (2 & 3/8) is incorrect as it does not result from dividing 5 3/4 by 1/2. Choice C (3 & 1/8) is incorrect as well. Choice D (18) is not the correct result of the division performed.
4. Change the following percentage to a decimal: 76.3%
- A. 0.0763
- B. 7
- C. 0.763
- D. 7.63
Correct answer: C
Rationale: To convert a percentage to a decimal, divide by 100. In this case, to convert 76.3% to a decimal, you move the decimal point two places to the left, resulting in 0.763. Therefore, the correct answer is C. Choice A (0.0763) is incorrect as it represents 7.63% as a decimal. Choice B (7) and Choice D (7.63) are not correct conversions of the given percentage to a decimal.
5. If 3 nurses can care for 15 patients, how many nurses are needed for 25 patients?
- A. 4
- B. 5
- C. 6
- D. 7
Correct answer: B
Rationale: To determine how many nurses are needed for 25 patients, set up a proportion: 3 nurses / 15 patients = x nurses / 25 patients. Cross multiply to solve for x: 3 * 25 = 15 * x. This simplifies to 75 = 15x. Divide both sides by 15 to find x = 5. Therefore, 5 nurses are needed for 25 patients. Choices A, C, and D are incorrect as they do not correspond to the correct calculation based on the given proportion.
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