HESI A2
Math HESI A2 Practice Test
1. Solve for x: x/5 = 3/10.
- A. x = 0.6
- B. x = 0.6
- C. x = 0.9
- D. x = 1.5
Correct answer: D
Rationale: To solve for x when x/5 = 3/10, you need to cross-multiply. This gives you 10x = 5 × 3. Simplifying further, you get x = 15/10, which reduces to x = 1.5. Therefore, the correct answer is x = 1.5. Choices A, B, and C are incorrect because they do not match the correct calculation for x.
2. A rancher has a herd of different-colored horses in his corral. Ten of the horses are black, six are brown, eight are two-color horses, and three are all white. What percentage of the horses are brown? (Round to the nearest whole number if necessary).
- A. 15%
- B. 20%
- C. 25%
- D. 30%
Correct answer: B
Rationale: To find the percentage of brown horses, first calculate the total number of horses: 10 black + 6 brown + 8 two-color + 3 all white = 27 horses. Then, calculate the percentage of brown horses: (6 ÷ 27) × 100 = 22.22%, which rounds to 20%. Choice B, 20%, is the correct answer. Choice A, 15%, is incorrect as it does not reflect the accurate percentage of brown horses. Choice C, 25%, is incorrect as it overestimates the percentage of brown horses. Choice D, 30%, is incorrect as it also overestimates the percentage of brown horses.
3. In Mr. Garcia's class, two-thirds of the students are boys. If there are 27 students in the class, how many of them are girls?
- A. 1
- B. 9
- C. 12
- D. 20
Correct answer: B
Rationale: If two-thirds of the students are boys, then one-third of the students must be girls. One-third of 27 is 9, so there are 9 girls in Mr. Garcia's class. Therefore, the correct answer is 9. Choice A is incorrect because it is too low; only one-third of the students are girls. Choices C and D are incorrect as they do not reflect the correct calculation based on the given information in the question.
4. Which number system is commonly used in the United States?
- A. Tertiary
- B. Decimal
- C. Napoleonic
- D. Binary
Correct answer: B
Rationale: The correct answer is B: Decimal. The decimal system, also known as the base-10 system, is the standard system for denoting integer and non-integer numbers in the United States and many other countries. In the decimal system, numbers are represented using 10 digits (0-9). Choices A, C, and D are incorrect. Tertiary, Napoleonic, and Binary number systems are not commonly used for general number representation in the United States.
5. Multiply: 32 × 5 and express the result in decimal form.
- A. 0.0016
- B. 0.016
- C. 0.16
- D. 1.6
Correct answer: D
Rationale: To find the product of 32 and 5, you simply multiply the two numbers: 32 × 5 = 160. Therefore, when expressed in decimal form, the answer is 1.6. Choices A, B, and C are incorrect as they do not represent the correct multiplication result in decimal form. Choice A is way too small, choice B is also too small, and choice C is close but still not the correct result.
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