HESI A2
HESI A2 Math 2024
1. How many liters are there in 2,500 milliliters?
- A. 2.5 liters
- B. 25 liters
- C. 250 liters
- D. 25,000 liters
Correct answer: A
Rationale: There are 1,000 milliliters in a liter. To convert 2,500 milliliters to liters, you divide by 1,000: 2,500 milliliters / 1,000 = 2.5 liters. Therefore, choice A, '2.5 liters,' is the correct answer. Choice B, '25 liters,' is incorrect as it would be the result if you mistakenly multiplied instead of dividing. Choice C, '250 liters,' is incorrect as it is 100 times the correct answer. Choice D, '25,000 liters,' is significantly higher and not a conversion error but an order of magnitude error.
2. Imaginary unit multiples are used to represent numbers that cannot be obtained on the number line. Which of the following is equivalent to 5i?
- A. -5
- B. i^5
- C. 5√-1
- D. 1/5i
Correct answer: C
Rationale: Rationale: - The imaginary unit, denoted as "i," is defined as the square root of -1. - Therefore, 5i can be expressed as 5 times the square root of -1, which is equivalent to 5√-1. - Option A, -5, is a real number and not an imaginary unit multiple. - Option B, i^5, is equal to i because i raised to any power that is a multiple of 4 results in 1, and i^5 is equivalent to i. - Option D, 1/5i, is the reciprocal of 5i and not equivalent to 5i.
3. How many inches are in 1.5 yards?
- A. 54 inches
- B. 60 inches
- C. 72 inches
- D. 84 inches
Correct answer: A
Rationale: To convert yards to inches, you multiply the number of yards by 36 (since there are 36 inches in a yard). So, 1.5 yards × 36 inches/yard = 54 inches. Therefore, the correct answer is A. Choice B, C, and D are incorrect as they do not correctly convert yards to inches.
4. Which of the following fractions is the largest? 3/8, 3/9, 3/6, 3/7
- A. 3/7
- B. 3/6
- C. 3/9
- D. 3/8
Correct answer: A
Rationale: To determine the largest fraction, it's helpful to convert them to decimals for easier comparison. Converting the fractions to decimals gives: 3/8 = 0.375, 3/9 = 0.333, 3/6 = 0.5, and 3/7 ≈ 0.429. Therefore, 3/7 is the largest fraction among the given options. Choice B, 3/6, is actually equivalent to 3/6 = 0.5 which is greater than 3/7. Choices C and D are smaller fractions compared to 3/7, making them incorrect.
5. Add and simplify: 4⅔ + 6½ =
- A. 11⅙
- B. 10⅓
- C. 9⅙
- D. 9
Correct answer: C
Rationale: To add 4⅔ and 6½, we first need to convert the fractions to have the same denominator. Converting 4⅔ to 6ths gives us 8/6, and 6½ to 6ths gives us 7/2. Adding them together gives 15/2, which simplifies to 7½ or 9⅙. Therefore, the correct answer is 9⅙. Choices A, B, and D are incorrect as they do not represent the correct sum of the fractions after conversion and simplification.
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