HESI A2 Math 2024

Correct Answer: B

Rationale: If the solution is 60% alcohol, it means that 60% of the solution is alcohol. Therefore, in 200ml of the solution, the amount of alcohol present is: 200ml * 60% = 200ml * 0.60 = 120ml. So, when 200ml of the solution is used, there are 120ml of pure alcohol present. Choice A, 100ml, is incorrect because it does not account for the correct percentage of alcohol in the solution. Choice C, 140ml, and Choice D, 160ml, are incorrect as they overestimate the amount of pure alcohol present in the solution.

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: B

Rationale: In the scale drawing, 1 inch represents 6 inches in reality. If the rocket is 6 inches tall on the drawing, the actual height of the rocket would be 6 inches x 6 = 36 inches, which is equal to 3 feet or 1 yard. Therefore, the correct answer is 6 feet. Choice A is incorrect because the actual height is more than 1 foot. Choice C is incorrect as 36 inches is equivalent to 1 yard. Choice D is incorrect because 36 inches is not equal to 2 yards.

Correct Answer: D

Rationale: To find the product of 15 and 52, you simply multiply them together: 15 x 52 = 780. Therefore, the correct answer is 7.8. Choices A, B, and C are incorrect as they represent fractions or decimals much smaller than the correct product of 780.

Correct Answer: D

Rationale: To convert Celsius to Fahrenheit, you can use the formula: F = (C x 1.8) + 32. Substituting C = 22 into the formula gives: F = (22 x 1.8) + 32 = 39.6 + 32 = 71.6�F. Therefore, the approximate temperature on the Fahrenheit scale when it is 22 degrees Celsius is 71.6�F. Choices A, B, and C are incorrect because they do not match the correct conversion result. Choice A, 56�F, is lower than the correct conversion. Choice B, 62�F, is also lower than the correct conversion. Choice C, 66.5�F, is not a whole number and does not match the precise conversion of 71.6�F. Thus, the correct answer is 71.6�F.