HESI A2 Math Practice Test 2024

Correct Answer: A

Rationale: To determine who ate more, we compare 3/5 of Sally's lunch to 75% of John's. Converting 75% to a fraction gives us 3/4. Thus, 3/5 is less than 3/4. Therefore, John ate more than Sally. Option A is correct. Option B is incorrect as Sally ate less. Option C is incorrect as their consumption is not equal. Option D is incorrect as both of them ate some portion of their lunch.

Correct Answer: A

Rationale: The correct answer is A: 19:40. To convert a fraction to a ratio, we simply write the numerator followed by a colon and then the denominator. In this case, 19/40 converts to 19:40. The other choices are incorrect because B switches the positions of the numbers, C simplifies the fraction incorrectly, and D simplifies the fraction to a different ratio. Therefore, the correct answer is A as it accurately represents the ratio of 19 to 40.

Correct Answer: C

Rationale: To find the volume of the frustum of a cone, we use the formula V = 1/3 * πh * (R^2 + r^2 + Rr), where h is the height, R is the radius of the larger base, and r is the radius of the smaller base. Plugging in the values (h=15cm, R=10cm, r=5cm), we get V = 1/3 * π * 15 * (100 + 25 + 50) = 1875 cu cm. This is why choice C is correct. Choice A is incorrect because it uses the incorrect formula for volume of a cone. Choices B and D are also incorrect as they do not consider the frustum shape and use the formula for a full cone.

Correct Answer: A

Rationale: To find x in the proportion 6:10=24:x, we first calculate the ratio of the given numbers, 6/10=24/x. Simplifying, we get 0.6=24/x. Cross multiplying, we get x=24/0.6=40. Therefore, the correct answer is A. Choice B is incorrect as it does not satisfy the proportion. Choice C is incorrect as it is too large compared to the correct answer. Choice D is incorrect as it is too small compared to the correct answer.

Correct Answer: A

Rationale: To find the number of days it will take the man to read 798 pages, first calculate the total number of chapters: 798 pages / (6 pages/chapter) = 133 chapters. Since he reads 2 chapters a day, divide the total chapters by 2 to get 133 chapters / 2 chapters/day = 66.5 days. Therefore, the correct answer is A: 66 & 1/2. Incorrect Choices: B: 399 - Incorrect as it does not reflect the correct calculation. C: 75 & 1/2 - Incorrect, the calculation is incorrect. D: 133 - Incorrect, this represents the total number of chapters, not the number of days.