HESI A2
HESI A2 Math Practice Exam
1. Jan canned 5 gallons of homemade tomatoes. She needs to purchase quart jars to finish the process. How many quart jars will she need to buy for her tomatoes?
- A. 10
- B. 15
- C. 20
- D. 25
Correct answer: C
Rationale: To determine the number of quart jars needed, we first need to convert the gallons to quarts. Since 1 gallon equals 4 quarts, 5 gallons will be equal to 5 * 4 = 20 quarts. Therefore, Jan will need to buy 20 quart jars to store her canned tomatoes. Choices A, B, and D are incorrect as they do not correctly convert the gallons to quarts, leading to an incorrect quantity of jars required.
2. Sally was able to eat 5/8 of her lunch. John ate 75% of his lunch. Who ate more?
- A. John
- B. Sally
- C. Both ate the same
- D. Cannot be determined
Correct answer: A
Rationale: To compare the portions eaten by Sally and John, it's necessary to express both in the same denominator. Since 75% is equivalent to 6/8, John ate 6/8 while Sally ate 5/8 of their lunches. Therefore, John ate more than Sally. Choice A is correct. Choice B is incorrect as John ate 6/8 compared to Sally's 5/8. Choice C is incorrect as the amounts eaten are different. Choice D is incorrect as it can be determined based on the given information.
3. What is the area of a rectangular room with a length of 12 meters and a width of 10 meters?
- A. 120 square meters
- B. 130 square meters
- C. 140 square meters
- D. 100 square meters
Correct answer: A
Rationale: The correct answer is A: 120 square meters. To find the area of a rectangle, you multiply its length by its width. In this case, the length is 12 meters and the width is 10 meters. Therefore, the area of the room is 12m * 10m = 120 square meters. Choices B, C, and D are incorrect as they do not correctly calculate the area of the room based on its dimensions.
4. Farmer Juan has 14 acres with an average yield of 17460 eggs per acre. The profit per egg is $1.65. What profit should Farmer Juan expect?
- A. $403,326
- B. $148,145.45
- C. $244,440
- D. $2,057.79
Correct answer: A
Rationale: To calculate Farmer Juan's profit, multiply the number of acres (14) by the yield per acre (17460 eggs) and by the profit per egg ($1.65): 14 acres * 17460 eggs * $1.65 = $403,326. Therefore, Farmer Juan should expect a profit of $403,326. Choice A is correct as it accurately calculates the total profit based on the given information. Choices B, C, and D are incorrect as they do not correctly compute the total profit from the provided data.
5. A farmer wants to plant trees at the outside boundaries of his rectangular field with dimensions 650 meters × 780 meters. Each tree requires 5 meters of free space all around it from the stem. How much free area will be left?
- A. 478,800 m²
- B. 492,800 m²
- C. 507,625 m²
- D. 518,256 m²
Correct answer: A
Rationale: To calculate the area taken by the trees, we need to account for the space each tree requires. Each tree needs 5 meters of free space all around it, totaling 10 meters added to each dimension. Therefore, the new dimensions of the field are (650-10) meters by (780-10) meters. Calculating the area of the new field: (640m × 770m = 492,800m²). To find the free area remaining, subtract the new field's area from the original field's area: 507,000m² - 492,800m² = 14,200m². Therefore, the free area left after planting the trees is 14,200m². Choice A is the correct answer as it represents the free area left after planting the trees.
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