HESI A2
HESI A2 Version 1 HESI Mathematics Questions
Question 1 of 5
A farmer has 240 acres under cultivation at $188.99 per acre. If he averages 60 bushels/acre, what is the expected profit if the price per bushel is $5.67?
Correct Answer: B
Rationale: To calculate the expected profit, first find the total cost: 240 acres * $188.99 = $45,357.60. Then, determine the total revenue: 240 acres * 60 bushels/acre * $5.67/bushel = $81,648. Subtract the total cost from the total revenue to find the profit: $81,648 - $45,357.60 = $36,290.40. Therefore, the expected profit is $36,290.40.
Question 2 of 5
Ratio and Proportion: 3: X = 5: 800. What is X? (Enter numeric value only.)
Correct Answer: A
Rationale: To find the value of X in the given ratio, set up the proportion: (3/X) = (5/800). Cross-multiply to solve for X: 3 � 800 = 5X. This simplifies to 2400 = 5X. Dividing both sides by 5 gives X = 2400/5 = 480. Therefore, the correct answer is A) 43.64.
Question 3 of 5
A die is rolled. What is the probability of getting a 5?
Correct Answer: C
Rationale: The probability of rolling a specific number on a fair six-sided die is calculated by taking the total number of favorable outcomes (which is 1 in this case, as there is only one face with a 5) divided by the total possible outcomes (which is 6 for a standard die). Therefore, the probability of rolling a 5 is 1/6, which is approximately 16.6%. To convert the probability to a percentage, you multiply the fraction by 100, giving you 16.6%. Hence, the correct answer is C, 16.60%.
Question 4 of 5
Which fraction represents the largest value?
Correct Answer: B
Rationale: To determine the largest fraction when the numerators are the same, compare the denominators. A smaller denominator indicates a larger fraction as it represents more significant parts of a whole. In this case, the fractions all have a common numerator of 3. Comparing the denominators, 6 is the smallest, making 3/6 the largest fraction. Therefore, 3/6 represents the largest value among the options. Remember, when fractions have the same numerator, the fraction with the smaller denominator is larger as it represents a larger portion of the whole.
Question 5 of 5
Ratio and Proportion: 0.5:20 :: X:200
Correct Answer: A
Rationale: To solve this proportion problem, you need to set up the ratio 0.5/20 equal to X/200. Cross-multiply to solve for X, which gives you 0.5 � 200 = 20X. Simplifying this, you get 100 = 20X, and then by dividing both sides by 20, you find that X = 5. Therefore, the correct answer is A, X = 50.