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HESI A2

HESI A2 Math Practice Test 2023

1. Which of the following fractions is the largest? 3/8, 3/9, 3/6, 3/7

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.

2. What is 70% of 200?

Correct answer: D

Rationale: To find 70% of a number, you multiply the number by 0.70. Therefore, 70% of 200 is calculated as 0.7 × 200 = 140. Choices A, B, and C are incorrect as they do not represent the correct calculation for finding 70% of 200.

3. What percentage of her income is left after Mary spent 15%?

Correct answer: B

Rationale: To determine the percentage of income remaining after spending 15%, subtract the percentage spent from 100% (100% - 15% = 85%). Therefore, Mary has 85% of her income left, which aligns with answer choice B. Choice A (12%) is incorrect because it represents the remaining amount after spending 88% of her income. Choice C (75%) is incorrect as it does not account for the 15% already spent. Choice D (95%) is incorrect as it does not consider the amount spent by Mary.

4. If 30% of a given number is 18, what is the full number?

Correct answer: A

Rationale: If 30% of a number is 18, you can find the full number by dividing 18 by 0.30 (the decimal equivalent of 30%). This calculation results in 60. Therefore, the full number is 60. Choice B (30) is the result if 30% of the number itself was calculated, not the full number. Choices C (40) and D (45) are incorrect and do not align with the given information.

5. In your class, there are 48 students; 32 students are female. Approximately what percentage are male?

Correct answer: A

Rationale: In a class of 48 students, with 32 being female, the number of male students is 48 - 32 = 16. To calculate the percentage of male students, divide the number of male students (16) by the total number of students (48) and then multiply by 100 to get the percentage: (16 / 48) * 100 = 33%. Therefore, approximately 33% of the students in the class are male. Choices B, C, and D are incorrect because they do not reflect the correct calculation based on the given information.

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