HESI A2
Math HESI A2 Practice Test
1. What is the result of adding 6 3/4 + 8 1/6?
- A. 14 11/12
- B. 12 3/4
- C. 12 3/24
- D. 14 2/5
Correct answer: A
Rationale: To add mixed numbers, convert them to improper fractions: 6 3/4 = 27/4 and 8 1/6 = 49/6. Then, add the fractions to get 27/4 + 49/6 = 162/24 + 98/24 = 260/24 = 21 20/24 = 21 10/12 = 21 5/6 = 14 11/12. Therefore, the correct answer is 14 11/12. Choice B (12 3/4) is incorrect as it does not match the correct calculation. Choice C (12 3/24) is incorrect due to the erroneous denominator in the final fraction. Choice D (14 2/5) is incorrect as it does not correspond to the correct sum of the fractions.
2. Which numeric system was a base 20 system?
- A. Mayan
- B. Babylonian
- C. Roman
- D. Arabic
Correct answer: A
Rationale: The Mayan numeric system was a base 20 system, known as vigesimal, as it used base 20 numerals. This system was unique and employed a combination of symbols and positional notation to represent numbers. The Babylonian system was a base 60 system, Roman numerals were based on combinations of letters, and Arabic numerals are in base 10, making choices B, C, and D incorrect.
3. If she had $1,070 after spending $18, how much did she have initially?
- A. $1,052
- B. $1,060
- C. $1,071
- D. $1,075
Correct answer: A
Rationale: To determine the initial amount she had, we subtract the amount spent ($18) from the total amount she had after spending. If she had $1,070 after spending, subtracting $18 gives us $1,052, which was the initial amount. Choices B, C, and D are incorrect as they do not consider the subtraction of the amount spent to find the initial amount.
4. What percentage of her income is left after Mary spent 15%?
- A. 12%
- B. 85%
- C. 75%
- D. 95%
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.
5. How many ounces are in 2.5 quarts?
- A. 64 ounces
- B. 40 ounces
- C. 32 ounces
- D. 80 ounces
Correct answer: D
Rationale: To convert quarts to ounces, you need to know that 1 quart is equal to 32 ounces. Therefore, to find out how many ounces are in 2.5 quarts, you multiply 2.5 by 32, which equals 80 ounces. So, the correct answer is 80 ounces. Choice A (64 ounces) is incorrect as it miscalculates the conversion. Choice B (40 ounces) is incorrect as it does not consider the correct conversion factor. Choice C (32 ounces) is incorrect as it provides the conversion for 1 quart only, not for 2.5 quarts.
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