HESI A2
HESI A2 Math Practice Test Questions
Question 1 of 5
Subtract and simplify: 8� − 1�.
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.
Question 2 of 5
How many pints are there in 4 quarts?
Correct Answer: B
Rationale: To convert quarts to pints, we know that 1 quart is equivalent to 2 pints. Therefore, to find out how many pints are in 4 quarts, we multiply 2 pints by 4, which equals 8 pints. Hence, the correct answer is 8 pints. Choice A (2 pints) is incorrect because it represents the conversion of 1 quart, not 4 quarts. Choice C (16 pints) and Choice D (32 pints) are incorrect as they miscalculate the conversion by not considering the correct conversion factor of 2 pints per quart.
Question 3 of 5
A decorative globe has a diameter of 25cm. What is its total surface area?
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.
Question 4 of 5
How many liters are in 120 milliliters?
Correct Answer: D
Rationale: To convert milliliters to liters, divide the milliliters by 1000 since there are 1000 milliliters in a liter. In this case, 120 milliliters divided by 1000 equals 0.12 liters. Therefore, the correct answer is 0.12 liters. Choice A (1.2 liters) is incorrect as it incorrectly moved the decimal point. Choice B (12 liters) is incorrect as it incorrectly multiplied by 10 instead of dividing by 1000. Choice C (1,200 liters) is incorrect as it added an extra zero, resulting in a much larger value.
Question 5 of 5
Solve for x: 2 : 5 :: 64 : x
Correct Answer: C
Rationale: The symbol '::' represents a proportion in which the first pair of numbers is related to the second pair of numbers. To solve for x in the proportion 2 : 5 :: 64 : x, you can set up a proportion equation: 2/5 = 64/x. Cross-multiplying gives you 2x = 5 * 64, which simplifies to 2x = 320. Dividing both sides by 2, you get x = 160. Therefore, x = 128 is the correct answer. Choice A (32) is incorrect as it is not the result of solving the proportion equation. Choice B (70) is incorrect as it is not related to the given proportion. Choice D (160) is a common mistake made by wrongly interpreting the equation; the correct value of x is 128.
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