HESI A2
HESI A2 Math Practice Exam
1. Which of the following numbers is a perfect square?
- A. 10
- B. 12
- C. 15
- D. 16
Correct answer: D
Rationale: A perfect square is a number obtained by squaring an integer. In this case, 16 is a perfect square because it is the result of squaring 4 (4 x 4 = 16). The other answer choices, 10, 12, and 15, are not the product of squaring any whole number, making them incorrect. Therefore, the correct answer is 16, as it is a perfect square.
2. A birdbath has a hemispherical bowl with a diameter of 30cm. What is its volume?
- A. 675 cu cm
- B. 1350 cu cm
- C. 2700 cu cm
- D. 4050 cu cm
Correct answer: C
Rationale: To find the volume of a hemispherical bowl, we use half the formula for a sphere's volume: (2/3) * π * (radius)^3. Given the diameter is 30cm, the radius is half of that, which is 15cm. Substitute the radius into the formula: (2/3) * π * (15cm)^3 ≈ 2700 cu cm. Therefore, the correct volume is approximately 2700 cu cm. Choices A, B, and D are incorrect as they do not correctly calculate the volume of the hemispherical bowl.
3. Chun Mei earns a 5% commission on each appliance she sells. If she sells a washer for $749 and a dryer for $689, what will her commission be?
- A. $37.45
- B. $71.90
- C. $149.80
- D. $287.60
Correct answer: B
Rationale: To calculate Chun Mei's commission, we first find the total sales amount by adding the prices of the washer and dryer: $749 + $689 = $1438. Next, we calculate her 5% commission on this total sales amount: 0.05 * $1438 = $71.90. Therefore, Chun Mei's commission for selling both appliances will be $71.90. Choice B, $71.90, is the correct answer. Choices A, C, and D are incorrect as they do not reflect the accurate calculation of Chun Mei's commission based on the given scenario.
4. Convert the decimal 0.98 to a percent.
- A. 98%
- B. 9%
- C. 98
- D. 99%
Correct answer: A
Rationale: To convert a decimal to a percent, you multiply the decimal by 100. In this case, 0.98 × 100 = 98%. Therefore, the correct answer is A, which is 98%. Choice B (9%) is incorrect as it results from an error in calculation. Choice C (98) is incorrect as it lacks the percent symbol. Choice D (99%) is incorrect as it is not the equivalent percentage of 0.98.
5. The physician orders 1000 mg of Benadryl liquid; 1 g = 1 tsp. How many teaspoons will you give?
- A. .75 tsp
- B. 1.5 tsp
- C. 1 tsp
- D. 1.25 tsp
Correct answer: C
Rationale: Since 1 gram (g) equals 1000 milligrams (mg) and 1 g = 1 teaspoon (tsp), the prescribed 1000 mg is equal to 1 tsp. Therefore, you will give 1 teaspoon of the Benadryl liquid. Choices A, B, and D are incorrect because they do not correspond to the correct conversion of 1 g to 1 tsp, which is essential in solving this dosage calculation.
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