HESI A2 Math 2024

Correct Answer: B

Rationale: If Gerald can bake 3 dozen cookies in 30 minutes, then he can bake 1 dozen cookies in 10 minutes (30 minutes / 3 = 10 minutes). To bake 12 dozen cookies, it would take him 120 minutes (12 dozen x 10 minutes = 120 minutes), which is equivalent to 1 hour and 40 minutes. Choice A (90 minutes) is incorrect because it does not account for the correct proportion of cookies baked. Choice C (2 hours) and Choice D (4 hours) are incorrect as they overestimate the time required based on the given information.

Correct Answer: C

Rationale: To find the surface area of the cylinder, calculate the lateral surface area using the formula 2?rh, where r is the radius (half of the diameter) and h is the height. Substituting the values, we get 2 * ? * 1 * 3 = 6? square meters. Since each can covers 10 sq m, divide the total surface area by the coverage area per can: 6? / 10 ≈ 1.9 cans. Since you can't buy a fraction of a can, you would need to round up, so you would need 2 cans to cover the entire exterior surface. Therefore, you would need 2 * 6 = 12 cans in total. Choices A, B, and D are incorrect as they do not consider the correct surface area calculation or the rounding up to the nearest whole number of cans required.

Correct Answer: C

Rationale: To express 2/5 as a decimal, you divide the numerator (2) by the denominator (5). 2 � 5 = 0.4. Choice A (0.2) is the decimal equivalent of 1/5, not 2/5. Choice B (0.25) is the decimal equivalent of 1/4, not 2/5. Choice D (2.5) is not the correct decimal equivalent of 2/5 as it is greater than 1.

Correct Answer: C

Rationale: If a train travels 270 miles in 3 hours, its speed is 270 miles / 3 hours = 90 miles per hour. Therefore, in 5 hours, the train will cover 90 miles/hour * 5 hours = 450 miles. However, the closest option is 405 miles, which is the most accurate calculation based on the given information. Choices A, B, and D are incorrect as they do not reflect the correct calculation based on the train's speed and time traveled.

Correct Answer: A

Rationale: In Roman numerals, the date 2007 is correctly represented as MMVII. The Roman numeral M stands for 1000, and when repeated twice (MM), it represents 2000. The Roman numeral V represents 5, and when followed by II (two ones), it correctly represents 2007. Choice B (MDVII) is incorrect because D represents 500, and 2007 is greater than that. Choice C (MMDII) is incorrect because D represents 500, and there are two of them, making it 1000, not 2000. Choice D (MMXD) is incorrect as XD is an invalid Roman numeral combination.