HESI A2 Math Practice Test

Correct Answer: B

Rationale: To find the total surface area of a sphere, you can use the formula: 4 * ? * (radius)^2, where the radius is half the diameter. Given that the diameter is 25cm, the radius is half of that, which is 12.5cm. Substitute this value into the formula: 4 * ? * (12.5cm)^2 ≈ 1963 sq cm. Therefore, the total surface area of the decorative globe is approximately 1963 sq cm. Choices A, C, and D are incorrect as they do not correspond to the correct calculation.

Correct Answer: B

Rationale: The Roman numeral MMXV represents the year 2015. In Roman numerals, M represents 1000, X represents 10, and V represents 5. Therefore, by converting the Roman numeral MMXV into its numerical equivalent (1000 + 10 + 5), it corresponds to the year 2015. Choice A (2001) is incorrect as it would be represented as MM + I, choice C (2051) would be represented as MM + LI, and choice D (2105) would be represented as MMCV in Roman numerals, making them all inaccurate representations of MMXV.

Correct Answer: D

Rationale: To find the product of 32 and 5, you simply multiply the two numbers: 32 5 = 160. Therefore, when expressed in decimal form, the answer is 1.6. Choices A, B, and C are incorrect as they do not represent the correct multiplication result in decimal form. Choice A is way too small, choice B is also too small, and choice C is close but still not the correct result.

Correct Answer: A

Rationale: To subtract mixed numbers, convert them to improper fractions. 8� = 33/4 and 1� = 3/2. Subtracting, we get 33/4 - 3/2 = 33/4 - 6/4 = 27/4 = 6�, which simplifies to 4�. Therefore, the correct answer is 4�. Choice B is incorrect as it represents the intermediate step of 6� before simplification. Choice C is incorrect as it is the result of the subtraction but not simplified. Choice D is incorrect as it is the original mixed number 7�, not the simplified result.

Correct Answer: B

Rationale: To convert Fahrenheit to Celsius, you can use the formula: �C = (�F - 32) x 5/9. Substituting the Fahrenheit temperature of 59 degrees into the formula: �C = (59 - 32) x 5/9 = 27 x 5/9 = 135/9 = 15. Therefore, the approximate temperature on the Celsius scale is 15�C. Choice A is incorrect as it represents a negative temperature which is not the case here. Choice C and D are also incorrect as they do not match the calculated conversion from Fahrenheit to Celsius.