HESI A2
HESI A2 Math Practice
1. A teacher's aide must convert the directions from quarts to liters. The directions say to dilute the contents of a package in 3 quarts of water. How many liters should be used?
- A. 2.8 liters
- B. 3.5 liters
- C. 2.5 liters
- D. 4.0 liters
Correct answer: A
Rationale: To convert quarts to liters, you can multiply the number of quarts by 0.946353. In this case, 3 quarts is approximately 2.8 liters. Therefore, the correct answer is 2.8 liters. Choices B, C, and D are incorrect as they do not reflect the accurate conversion from quarts to liters.
2. What is 7 1/8 + 2 4/12 equal to?
- A. 9 11/24
- B. 10 1/3
- C. 8 3/8
- D. 7 7/24
Correct answer: A
Rationale: To add mixed numbers, first convert the fractions to a common denominator. The least common denominator between 8 and 12 is 24. Converting 7 1/8 to 7 3/24 (since 1/8 = 3/24) and 2 4/12 to 2 8/24 (since 4/12 = 8/24), we can add the whole numbers separately to get 9. Then, adding the fractions 3/24 and 8/24 gives 11/24. Therefore, 7 1/8 + 2 4/12 equals 9 11/24. Choice A is correct. Choices B, C, and D are incorrect as they do not reflect the correct addition of mixed numbers with the appropriate conversion of fractions.
3. If the quotient is 4 and the dividend is 12, what is the divisor?
- A. 3
- B. 6
- C. 4
- D. 9
Correct answer: C
Rationale: To find the divisor, you need to divide the dividend by the quotient. In this case, the dividend is 12 and the quotient is 4. Dividing 12 by 4 gives you the divisor, which is 3. Therefore, the correct answer is 4. Choices A, B, and D are incorrect because they do not result from dividing the dividend by the quotient in this scenario.
4. Change 1/6 to a percent.
- A. 16.67%
- B. 15%
- C. 14%
- D. 17%
Correct answer: A
Rationale: To convert 1/6 to a percentage, you multiply 1/6 by 100. This gives you 16.67%. Choice A is correct. Choice B, 15%, is incorrect as it is the rounded value of 1/6 as a percentage. Choice C, 14%, and Choice D, 17%, are also incorrect as they do not represent the accurate conversion of 1/6 to a percentage.
5. Scientific notation is a way to represent very large or small numbers in a compact form. If a number is written as 4.82 x 10^3, what is the value of the number in standard form?
- A. 0.004 82
- B. 0.482
- C. 4820
- D. 4820000
Correct answer: C
Rationale: Rationale: When a number is written in scientific notation as \(a \times 10^n\), the value of the number in standard form is obtained by multiplying \(a\) by \(10^n\). In this case, the number is \(4.82 \times 10^3\). To convert this to standard form, we multiply 4.82 by \(10^3\), which means moving the decimal point 3 places to the right. \(4.82 \times 10^3 = 4820\) Therefore, the value of the number in standard form is 4820, which corresponds to option C.
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