HESI A2
HESI A2 Version 1 HESI Mathematics Questions
Extract:
Question 1 of 5
45:x=35:105. Find the value of X. (Enter the whole number only.)
Correct Answer: B
Rationale: To find the value of x in the proportion 45:x=35:105, we can cross multiply to solve for x. 45 * 105 = 35 * x x = (45 * 105) / 35 x = 135 Therefore, the correct answer is B: 135. Explanation: The correct answer is found by cross multiplying in a proportion. Choice A (100) is incorrect as it doesn't satisfy the proportion. Choice C (75) and Choice D (175) are also incorrect as they do not align with the calculated value of x (135) from the given proportion.
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.