HESI A2
HESI A2 Version 1 HESI Mathematics Questions
Extract:
Question 1 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 2 of 5
If 5 is to 30 as X is to 1, find the value of X. (Round to the nearest tenth.)
Correct Answer: A
Rationale: To find the value of X, set up a proportion: 5/30 = X/1. Cross-multiply to get 5 = 30X. Divide both sides by 30, which gives X = 5/30 = 0.1667. When rounded to the nearest tenth, X is 0.2, which is equivalent to 6 when rounded to a whole number. Therefore, the value of X is 6.
Question 3 of 5
Change 0.004 to a ratio.
Correct Answer: C
Rationale: To convert 0.004 to a ratio, you first express it as a fraction, which is 4/1000. Simplifying this fraction gives 1/250. Therefore, the correct ratio for 0.004 is 1:250. This ratio represents the relationship between the parts, where for every 1 unit in the first part, there are 250 units in the second part. It's essential to simplify fractions to their lowest terms to express the ratio in its simplest form.
Question 4 of 5
Ratio and Proportion 15:1000::x:100 = ?
Correct Answer: C
Rationale: To solve this proportion, set up the equation: 15/1000 = x/100. Cross multiply to get 15 * 100 = 1000 * x. Simplifying gives x = 1. Therefore, the correct answer is 1. The ratio 15:1000 is equivalent to the ratio 1:67. By setting up the proportion, we find that x = 1, making Option C the correct answer. This question assesses your understanding of ratios and proportions. Remember, when solving proportions, cross multiplication is a useful method to find the unknown value. In this case, the proportion is between 15 and 1000 in the first set, and x and 100 in the second set. By applying the cross multiplication method, you can determine that x equals 1, making Option C the correct answer.
Question 5 of 5
What is the result of adding 5 1/3 + 3 1/2?
Correct Answer: C
Rationale: To add mixed numbers, convert them to improper fractions. 5 1/3 = 16/3 and 3 1/2 = 7/2. Find a common denominator, in this case, 6: 16/3 = 32/6 and 7/2 = 21/6. Add the fractions: 32/6 + 21/6 = 53/6, which simplifies to 8 5/6. Therefore, the sum of 5 1/3 + 3 1/2 is 8 5/6.