HESI A2
HESI A2 Math Practice Test 2023
1. If a man reads 2 chapters a day and there are 6 pages per chapter in a 798-page book, how long will it take him to finish the book?
- A. 133 days
- B. 399 days
- C. 75 days
- D. 66.5 days
Correct answer: D
Rationale: To find the total number of chapters, divide the total number of pages by the number of pages per chapter: 798 ÷ 6 = 133 chapters. If he reads 2 chapters a day, it will take him 133 ÷ 2 = 66.5 days to finish the book. Therefore, the correct answer is 66.5 days. Choice A is incorrect because it miscalculates the number of days required. Choices B and C are incorrect as they do not consider the correct calculation based on the given information.
2. Jenny lost 3.2 lbs each month for 6 months. How much weight has Jenny lost?
- A. 19.2 lbs
- B. 15 lbs
- C. 20 lbs
- D. 18 lbs
Correct answer: A
Rationale: To determine how much weight Jenny has lost, you need to multiply the weight lost per month (3.2 lbs) by the number of months (6). 3.2 lbs x 6 = 19.2 lbs. Therefore, Jenny has lost a total of 19.2 lbs. Choice B (15 lbs) is incorrect because it does not account for the total weight lost over the 6 months. Choice C (20 lbs) is incorrect as it overestimates the total weight lost. Choice D (18 lbs) is incorrect as it underestimates the total weight lost.
3. Relatively prime numbers share no common factors other than 1. Which of the following pairs of numbers are relatively prime?
- A. 12 and 16
- B. 15 and 17
- C. 20 and 24
- D. 28 and 36
Correct answer: B
Rationale: Rationale: - Relatively prime numbers are numbers that share no common factors other than 1. - To determine if two numbers are relatively prime, we need to find the greatest common divisor (GCD) of the two numbers. If the GCD is 1, then the numbers are relatively prime. - Let's calculate the GCD for each pair of numbers: A) GCD(12, 16) = 4, not relatively prime B) GCD(15, 17) = 1, relatively prime C) GCD(20, 24) = 4, not relatively prime D) GCD(28, 36) = 4, not relatively prime Therefore, the pair of numbers 15 and 17 are relatively prime because their greatest common divisor is 1, meaning they share no common factors other than 1.
4. A bookshelf has triangular shelves with a base of 40cm and a height of 30cm. The depth of the shelf is 25cm. What is the volume of each shelf?
- A. 3000 cu cm
- B. 3750 cu cm
- C. 5000 cu cm
- D. 7500 cu cm
Correct answer: B
Rationale: To find the volume of the triangular shelf, first calculate the area of the triangle (1/2 * base * height) which is (1/2 * 40 * 30) = 600 sq cm. Then, multiply this area by the depth of the shelf (600 * 25) = 15000 cu cm. Therefore, the volume of each shelf is 3750 cu cm. Choice A, C, and D are incorrect as they do not correctly calculate the volume based on the dimensions provided.
5. A vitamin's expiration date has passed. It was supposed to contain 500 mg of calcium, but it has lost 325 mg of calcium. How many mg of calcium are left?
- A. 175 mg
- B. 135 mg
- C. 185 mg
- D. 200 mg
Correct answer: A
Rationale: The correct answer is A: 175 mg. The vitamin originally contained 500 mg of calcium. After losing 325 mg, the remaining amount of calcium is calculated as 500 mg - 325 mg = 175 mg. Choice B (135 mg) is incorrect because the vitamin lost more calcium than that. Choices C (185 mg) and D (200 mg) are incorrect as they do not consider the amount of calcium lost from the original 500 mg.
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