HESI A2
HESI A2 Version 1 HESI Mathematics Questions
Question 1 of 5
In the ratio 0.5 : 20 :: X : 200, what is X?
Correct Answer: B
Rationale: To find X, set up the proportion: (0.5/20) = (X/200). Cross multiply: 0.5 * 200 = 20 * X. Solve for X: 100 = 20X, so X = 100/20 = 5. Therefore, X is equal to 5 in the given ratio. The correct answer is B, as X equals 5 when the ratio is 0.5 : 20 :: X : 200.
Question 2 of 5
In a class of 25 students, 44% are boys. How many boys are there?
Correct Answer: B
Rationale: To find the number of boys in the class, we first calculate 44% of 25 students. 44% of 25 is 0.44 x 25 = 11 boys. Therefore, there are 11 boys in the class.
Question 3 of 5
A library contains 67,982 books. The children's section represents 1/3 of the total books. Of the remaining books, 75% are fiction. How many books are in the non-fiction section?
Correct Answer: A
Rationale: To find the number of books in the non-fiction section, start by calculating the number of books in the children's section: 67,982 * 1/3 = 22,661 books. Subtract the children's books from the total to determine the remaining books: 67,982 - 22,661 = 45,321 books. As 75% of the remaining books are fiction, calculate 75% of 45,321 = 33,990 (fiction books). To find the number of non-fiction books, subtract the fiction books from the remaining books: 45,321 - 33,990 = 11,331. Therefore, there are 11,331 non-fiction books in the library.
Question 4 of 5
A school district has a student population of 6,734 students. If the maximum class size is 25 students, how many teachers must the district hire to supplement their current staff of 217 teachers?
Correct Answer: C
Rationale: To calculate the number of additional teachers needed, first determine the total number of classes by dividing the total student population by the maximum class size: 6734 students � 25 students = 269.36, rounded up to 270 classes. Then subtract the current number of teachers from the total classes to find the additional teachers required: 270 classes - 217 current teachers = 53 additional teachers needed.
Question 5 of 5
Convert 0.60 to a ratio in simplest form.
Correct Answer: A
Rationale: To convert 0.60 to a ratio, start by expressing it as a fraction: 0.60 = 60/100. Then simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 20 in this case. Dividing 60 by 20 gives 3, and dividing 100 by 20 gives 5. Therefore, the simplified fraction is 3/5, which translates to the ratio 3:5 in simplest form.