HESI A2
HESI A2 Math Questions
Question 1 of 5
If Andy runs five times as long as Jake, and Jake runs 24.5 miles each week, how many miles does Andy run in a day?
Correct Answer: A
Rationale:
To find how many miles Andy runs in a day, we need to calculate the distance Andy runs in a week. Since Andy runs five times as long as Jake, Andy runs 5 * 24.5 = 122.5 miles per week.
To convert this to miles per day, we divide by 7 (days in a week): 122.5 / 7 = 17.5 miles per day.
Therefore, the correct answer is A.
Choices B, C, and D are incorrect as they do not accurately reflect the calculation based on the given ratio.
Question 2 of 5
If a train travels at 80 kilometers per hour, how many kilometers will it travel in 3 hours?
Correct Answer: A
Rationale:
To find the total distance traveled, you need to multiply the speed of the train by the time it travels. So, 80 km/h * 3 hours = 240 kilometers.
Therefore, the correct answer is 240 kilometers.
Choice B (160 kilometers) is incorrect because it is the result of multiplying the speed by 2 hours instead of 3.
Choice C (240 kilometers) is the same as the correct answer, making it redundant.
Choice D (210 kilometers) is incorrect as it is the result of multiplying the speed by 2.5 hours instead of 3.
Question 3 of 5
A farmer buys 3 bags of feed weighing 50 kilograms each. How much feed does he have in total?
Correct Answer: B
Rationale: The correct answer is B: 150 kilograms.
To find the total amount of feed, you need to multiply the number of bags by the weight of each bag. In this case, 3 bags * 50 kilograms each = 150 kilograms.
Therefore, the farmer has a total of 150 kilograms of feed.
Choice A (100 kilograms) is incorrect because it doesn't consider the total weight of all 3 bags.
Choice C (200 kilograms) and
Choice D (250 kilograms) are incorrect as they are miscalculations of the total weight of the feed.
Question 4 of 5
A water fountain has a spherical base with a diameter of 50cm and a cylindrical body with a diameter of 30cm and a height of 80cm. What is the total surface area of the fountain (excluding the water surface)?
Correct Answer: C
Rationale:
To find the total surface area of the fountain, we first calculate the surface area of the sphere and the cylinder separately.
For the sphere:
- Radius = Diameter / 2 = 50 / 2 = 25 cm
- Surface area of a sphere = 4πr² = 4 x π x 25² = 500π cm²
For the cylinder:
- Radius = Diameter / 2 = 30 / 2 = 15 cm
- Surface area of a cylinder = 2πrh + 2πr² = 2 x π x 15 x 80 + 2 x π x 15² = 240π + 450π = 690π cm²
Total surface area = Surface area of sphere + Surface area of cylinder
= 500π + 690π = 1190π cm²
≈ 5486 sq cm.
Therefore, the correct answer is C.
Choice A (3142 sq cm) is incorrect as it is much smaller than the correct answer.
Choices B and D are also incorrect as they do not reflect the accurate calculation of the total surface area of the fountain.
Question 5 of 5
What is the result of adding 6 3/4 + 8 1/6?
Correct Answer: A
Rationale:
To add mixed numbers, first convert them to improper fractions. 6 3/4 = 27/4 and 8 1/6 = 49/6. Finding a common denominator, we get 27/4 + 49/6 = 81/12 + 98/12 = 179/12 = 14 & 11/12.
Therefore, the correct answer is A.
Choice B is incorrect as it does not simplify to the correct result.
Choice C is in fraction form and not in mixed number form, making it incorrect.
Choice D is not the correct sum of the given mixed numbers, so it is also incorrect.