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HESI A2

HESI A2 Practice Test Math

1. Add 2/3 + 4/9.

A. 8/15
B. 1
C. 10/9
D. 1/2

Correct answer: C

Rationale: To add the fractions, first find a common denominator. The least common denominator between 3 and 9 is 9. Convert 2/3 to 6/9 then add 6/9 + 4/9: = 10/9

2. If the outside temperature on a sunny day is 82 degrees on the Fahrenheit scale, what is the approximate temperature on the Celsius scale?

A. 18°C
B. 24°C
C. 28°C
D. 50°C

Correct answer: C

Rationale: To convert Fahrenheit to Celsius, you can use the formula:

3. How many pounds are there in 8 kilograms?

A. 3.6 pounds
B. 16 pounds
C. 16.6 pounds
D. 17.6 pounds

Correct answer: B

Rationale: To convert kilograms to pounds, you multiply the number of kilograms by 2.20462. Therefore, 8 kilograms is equal to 8 x 2.20462 = 17.63696 pounds, which can be rounded to 16 pounds. Choice A is incorrect as it is not the correct conversion. Choice C is close to the correct answer but slightly higher. Choice D is incorrect as it is higher than the correct conversion.

4. Imaginary unit multiples are used to represent numbers that cannot be obtained on the number line. Which of the following is equivalent to 5i?

A. -5
B. i^5
C. 5√-1
D. 1/5i

Correct answer: C

Rationale: Rationale: - The imaginary unit, denoted as "i," is defined as the square root of -1. - Therefore, 5i can be expressed as 5 times the square root of -1, which is equivalent to 5√-1. - Option A, -5, is a real number and not an imaginary unit multiple. - Option B, i^5, is equal to i because i raised to any power that is a multiple of 4 results in 1, and i^5 is equivalent to i. - Option D, 1/5i, is the reciprocal of 5i and not equivalent to 5i.

5. Reduce 5 & 3/4 divided by 1/2.

A. 5 & 1/2
B. 2 & 3/8
C. 18
D. 11 & 1/2

Correct answer: D

Rationale: To divide mixed numbers, convert them to improper fractions. 5 & 3/4 = 23/4 and 1/2 = 2/1. So, 23/4 ÷ 2/1 = 23/4 * 1/2 = 23/8 = 2 & 7/8. Therefore, 5 & 3/4 divided by 1/2 reduces to 11 & 1/2. Choices A, B, and C are incorrect because they do not represent the correct result of dividing 5 & 3/4 by 1/2.