HESI A2
HESI A2 Math Practice Exam
1. What is the boiling point of water?
- A. 100°C
- B. 98°C
- C. 99°C
- D. 102°C
Correct answer: A
Rationale: The correct answer is 100°C (Choice A). The boiling point of water is the temperature at which it changes from a liquid to a gas. Under normal atmospheric pressure, water boils at 100°C. Choices B, C, and D are incorrect because they do not represent the standard boiling point of water. 98°C, 99°C, and 102°C do not correspond to the temperature at which water boils under normal conditions.
2. How many more yellow balls must be added to the basket to make the yellow balls constitute 65% of the total number of balls?
- A. 35
- B. 50
- C. 65
- D. 70
Correct answer: B
Rationale: To find the total number of balls needed to make the yellow balls 65% of the total, let x be the total number of balls required. Initially, there are 15 yellow balls. The total number of balls would be 15 + x after adding more yellow balls. The equation to represent this is: (15 + x) / (15 + x) = 0.65 (since the yellow balls need to constitute 65% of the total). Solving this equation gives x = 50, indicating that 50 more yellow balls need to be added to the basket to reach the desired percentage. Choice A, C, and D are incorrect as they do not accurately represent the additional yellow balls needed to achieve the specified percentage.
3. Solve for x: 4x + 2 = 18.
- A. x = 4
- B. x = 4
- C. x = 5
- D. x = 3
Correct answer: B
Rationale: To solve for x, first, subtract 2 from both sides of the equation: 4x = 16. Then, divide by 4 to isolate x: x = 4. Choice A, x = 4, is the correct answer as calculated. Choice C, x = 5, is incorrect because the correct value of x is 4, not 5. Choice D, x = 3, is incorrect as well, as the correct value of x is 4, not 3.
4. Multiply: 54 × 45. Express the result in decimal form.
- A. 0.0243
- B. 0.243
- C. 2.43
- D. 24.3
Correct answer: D
Rationale: To multiply 54 by 45, you should multiply the two numbers together: 54 x 45 = 2430. The decimal point is placed after counting the total decimal places in the numbers being multiplied. As there are no decimal places in the numbers 54 and 45, the result is 2430, which is correctly expressed as 24.3 when considering the decimal point placement. Choice A (0.0243) and Choice B (0.243) are incorrect as they represent fractions of 2430. Choice C (2.43) is incorrect as it incorrectly places the decimal point one place before the actual result.
5. A train travels at 80 mph for 3 hours. How far did it travel?
- A. 240 miles
- B. 160 miles
- C. 280 miles
- D. 320 miles
Correct answer: A
Rationale: To calculate the distance traveled, you multiply the speed of the train (80 mph) by the time it traveled (3 hours): 80 mph × 3 hours = 240 miles. Therefore, the correct answer is 240 miles. Choice B (160 miles) is incorrect because it results from multiplying the speed by the incorrect time. Choices C (280 miles) and D (320 miles) are incorrect as they represent calculations that do not match the given speed and time.
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