HESI A2
HESI A2 Math Practice Test 2023
1. How many liters are in 300 milliliters?
- A. 0.3 liters
- B. 3 liters
- C. 0.03 liters
- D. 3.3 liters
Correct answer: A
Rationale: 300 milliliters is equivalent to 0.3 liters. To convert milliliters to liters, you need to move the decimal three places to the left. Therefore, the correct answer is A. Choice B (3 liters) is incorrect as it represents the conversion of 3000 milliliters. Choice C (0.03 liters) is incorrect as it represents the conversion of 30 milliliters. Choice D (3.3 liters) is also incorrect as it is not the correct conversion of 300 milliliters.
2. What number is 6 equal to 15% of?
- A. 0.9
- B. 40
- C. 80
- D. 90
Correct answer: B
Rationale: To find the number that 6 is equal to 15% of, we set up the equation 0.15x = 6, where x is the unknown number. To solve for x, we divide 6 by 0.15, which gives us x = 40. Therefore, 6 is equal to 15% of the number 40. Choice A (0.9) is incorrect as it is not the result of dividing 6 by 0.15. Choices C (80) and D (90) are incorrect as they do not satisfy the equation 0.15x = 6.
3. A farmer has 240 acres under cultivation at the cost of $188.99 per acre. If he averages a yield of 60 bushels per acre, what profit is expected if the price per bushel is $5.67?
- A. $36,290.40
- B. $45,357.60
- C. $81,648
- D. $44,000
Correct answer: A
Rationale: To calculate the profit, first find the total revenue: 240 acres × 60 bushels/acre × $5.67/bushel = $81,648. Then, calculate the total cost: 240 acres × $188.99/acre = $45,357.60. Finally, subtract the cost from the revenue to find the profit: $81,648 - $45,357.60 = $36,290.40. Therefore, the expected profit is $36,290.40. Choice B, $45,357.60, is the total cost, not the profit. Choice C, $81,648, is the total revenue, not the profit. Choice D, $44,000, is an arbitrary figure and not related to the calculations provided. Thus, the correct answer is $36,290.40.
4. Multiply: 6 × 0.06 =
- A. 0.0036
- B. 0.036
- C. 0.36
- D. 3.6
Correct answer: C
Rationale: When multiplying 6 by 0.06, you can treat 0.06 as 6 hundredths. So, 6 × 0.06 is equivalent to 6 × 6 hundredths, which equals 0.36. The correct answer is 0.36. Choice A (0.0036) is incorrect because it represents 6 multiplied by 0.0006, not 0.06. Choice B (0.036) is incorrect as it represents 6 multiplied by 0.06 without considering the position of the decimal point. Choice D (3.6) is incorrect as it represents 6 multiplied by 6, not by 0.06.
5. 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.
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