HESI A2
HESI A2 Math Practice
1. What is 60% of 150?
- A. 80
- B. 90
- C. 120
- D. 80
Correct answer: B
Rationale: To find 60% of 150, you multiply 0.6 by 150, which equals 90. Therefore, the correct answer is 90. Choice A (80) is incorrect because it does not represent 60% of 150. Choice C (120) is incorrect as it exceeds 100% of 150. Choice D (80) is a duplicate of choice A and does not accurately represent 60% of 150.
2. An object with a mass of 45 kg has momentum equal to 180 kg⋅m/s. What is the object’s velocity?
- A. 4 m/s
- B. 8.1 km/s
- C. 17.4 km/h
- D. 135 m/s
Correct answer: A
Rationale: The momentum of an object is calculated by multiplying its mass and velocity. Mathematically, momentum = mass x velocity. Given that the mass is 45 kg and the momentum is 180 kg⋅m/s, we can rearrange the formula to solve for velocity: velocity = momentum / mass. Plugging in the values, velocity = 180 kg⋅m/s / 45 kg = 4 m/s. Therefore, the object's velocity is 4 m/s. Choices B, C, and D are incorrect because they do not align with the correct calculation based on the given mass and momentum values.
3. What is the value of x in the ratio and proportion 0.1:10=x:400?
- A. 5
- B. 4
- C. 50
- D. 25
Correct answer: B
Rationale: To solve the proportion 0.1:10=x:400, first, simplify the left side to 1:100. Then, set up the proportion as 1:100=x:400. Cross multiply to get x = 4. Therefore, the correct answer is B. Choice A (5) is incorrect because it does not match the calculated value of x. Choice C (50) is incorrect as it is not the result of solving the proportion provided. Choice D (25) is incorrect as it does not align with the correct calculation of x.
4. Which of the following words or phrases fits best in the sentence below? Derek insists on working out daily ___________ his time is limited.
- A. despite
- B. due to
- C. even if
- D. whereas
Correct answer: A
Rationale: In the sentence, the word 'despite' is the best fit to convey the meaning that Derek insists on working out daily regardless of the limitation of his time. 'Despite' is used to show contrast or defiance against a situation or condition, making it the most suitable choice among the options provided. Choice B, 'due to,' would imply that Derek is working out daily because his time is limited, which is not the intended meaning of the sentence. Choice C, 'even if,' suggests a conditional scenario which does not align with the context of Derek's daily routine. Choice D, 'whereas,' introduces a comparison between two contrasting clauses, which does not fit the sentence where the focus is on Derek's persistence in working out despite limited time.
5. If Larry can wash 50 cars in 20 minutes, how many minutes will it take him to wash 80 cars?
- A. 20 minutes
- B. 32 minutes
- C. 40 minutes
- D. 60 minutes
Correct answer: B
Rationale: To determine how many minutes it will take Larry to wash 80 cars, we first calculate his rate of washing cars per minute: 50 cars / 20 minutes = 2.5 cars per minute. To wash 80 cars, we divide the total number of cars by the cars washed per minute: 80 cars / 2.5 cars per minute = 32 minutes. Hence, it will take Larry 32 minutes to wash 80 cars. Choices A, C, and D are incorrect as they do not align with the correct calculation based on Larry's rate of washing cars.
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