HESI A2
HESI A2 Math 2024
1. If blank CDs cost 36 cents for two, how much does it cost to buy 10 blank CDs?
- A. $0.90
- B. $1.35
- C. $1.80
- D. $3.60
Correct answer: C
Rationale: If two blank CDs cost 36 cents, each blank CD costs 18 cents (36 cents / 2). To find the cost of 10 blank CDs, you multiply the cost of one CD by the total number of CDs: 18 cents x 10 = $1.80. Therefore, it would cost $1.80 to buy 10 blank CDs. Choice A ($0.90) is incorrect because it miscalculates the cost per CD. Choice B ($1.35) is incorrect as it doesn't consider the total number of CDs. Choice D ($3.60) is incorrect as it miscalculates the cost of one CD.
2. 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.
3. A teacher's aide is preparing a snack for the class. In order to prepare the powdered drink, the aide must convert the directions to metric. The directions say, 'Dilute contents of package in 2 quarts of water.' The aide has a measuring device marked in liters. How many liters of water should be used?
- A. 2
- B. 1
- C. 3 liters
- D. 5 liters
Correct answer: A
Rationale: To convert 2 quarts to liters, we can use the conversion factor that 1 quart is approximately equal to 0.95 liters. Therefore, 2 quarts would be approximately 1.9 liters, which is closest to 2 liters. As the measuring device is marked in liters, the teacher's aide should use 2 liters of water to dilute the contents of the package. Choice A is correct. Choice B is incorrect because it's the same as the original amount in quarts. Choice C is incorrect as it suggests using more water than necessary. Choice D is incorrect as it suggests using significantly more water than necessary.
4. What is the perimeter of a square with a side length of 5 meters?
- A. 15 meters
- B. 20 meters
- C. 25 meters
- D. 30 meters
Correct answer: B
Rationale: The formula to calculate the perimeter of a square is P = 4s, where P is the perimeter and s is the length of a side. Given that the side length is 5 meters, the perimeter is 4 * 5 = 20 meters. Therefore, the correct answer is B. Choices A (15 meters), C (25 meters), and D (30 meters) are incorrect as they do not correctly apply the formula to calculate the perimeter of a square.
5. Solve for x: 3x + 2 = 14
- A. x = 4
- B. x = 2
- C. x = 6
- D. x = 3
Correct answer: A
Rationale: To solve the equation 3x + 2 = 14, first, subtract 2 from both sides to isolate 3x: 3x = 12. Then, divide by 3 to solve for x: x = 4. Therefore, the correct answer is A, x = 4. Choice B, x = 2, is incorrect because it does not satisfy the equation. Choice C, x = 6, is incorrect as well since it does not satisfy the equation. Choice D, x = 3, is also incorrect as it does not satisfy the given equation.
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