HESI A2
Math HESI A2 Practice Test
1. What is the result of adding 1/4 + 3/8?
- A. 5/8
- B. 7/12
- C. 2/3
- D. 1/2
Correct answer: A
Rationale: To add fractions with different denominators, find a common denominator. In this case, the common denominator of 4 and 8 is 8. Convert 1/4 to 2/8, then add it to 3/8. The sum is 5/8. Choice B (7/12) is incorrect as it is the result of adding 1/3 + 1/4. Choice C (2/3) is incorrect as it is the result of adding 3/8 + 1/4. Choice D (1/2) is incorrect as it is the result of adding 1/4 + 1/4.
2. Eighty percent of the class passed with a 75 or higher. If that percentage equals 24 students, how many students were in the whole class?
- A. 18
- B. 30
- C. 36
- D. 60
Correct answer: C
Rationale: If 80% of the class passed with a 75 or higher, and that equals 24 students, you can set up a proportion to find the total number of students in the class. Since 80% is equal to 24 students, 100% (the whole class) would be equal to (24/80) x 100 = 30 students. Therefore, the total number of students in the whole class is 30 / 80 x 100 = 36. Choice A (18) is incorrect as it does not match the calculation based on the information given. Choice B (30) is incorrect because it represents the intermediate calculation but not the total number of students in the class. Choice D (60) is incorrect as it is double the correct answer and does not align with the given information.
3. An architect is designing a rectangular room. The room has an area of 225 square feet and a width of 15 feet. What is the length of the room?
- A. 30 feet
- B. 15 feet
- C. 25 feet
- D. 45 feet
Correct answer: B
Rationale: The formula for the area of a rectangle is: Area = Length × Width. To find the length, divide the area by the width: 225 ÷ 15 = 15 feet. Therefore, the correct answer is 15 feet. Choice A (30 feet) is incorrect because it is the product of the area and the width, not the length. Choice C (25 feet) is incorrect as it does not match the result of dividing the area by the width. Choice D (45 feet) is incorrect as it is not the result of the calculation needed to find the length.
4. A farmer wants to plant trees around the outside boundaries of his rectangular field with dimensions of 650 meters × 780 meters. Each tree requires 5 meters of free space all around it from the stem. How many trees can he plant?
- A. 572
- B. 568
- C. 286
- D. 282
Correct answer: C
Rationale: To determine the number of trees, reduce the field dimensions by 10 meters (5 meters of space on each side). The effective area is 640 meters × 770 meters. Each tree occupies 10 meters × 10 meters. Dividing the effective area by the space for each tree gives: (640 × 770) ÷ (10 × 10) = 286 trees. Choice A, B, and D are incorrect because they do not consider the reduction in field dimensions and the space required for each tree.
5. Sally eats 3/5 of her lunch. John eats 75%. Who ate more?
- A. John
- B. Sally
- C. Both the same
- D. Neither
Correct answer: A
Rationale: To compare, convert both to decimals or percentages: Sally ate 3/5, which is 0.6 or 60%. John ate 75%. Since 75% is greater than 60%, John ate more than Sally. Thus, the correct answer is A. John. Choice B is incorrect because Sally ate a smaller percentage of her lunch compared to John. Choice C is incorrect as the percentages consumed are different. Choice D is incorrect as one of them ate more.
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