HESI A2 Math Practice Test 2024

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 value of x, we can use the concept of proportional relationships. The ratio x:15 is equal to 120:225. To solve for x, we can set up a proportion equation: x/15 = 120/225. Cross multiply to get x = 15 * 120 / 225 = 8. Therefore, the correct answer is A: x=8. Summary: - Choice A is correct because it was derived from setting up and solving the proportion equation correctly. - Choices B, C, and D are incorrect because they do not match the solution obtained through the proportion equation.

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 the correct answer, we need to set up a proportion: 4 cups of sugar for 120 cookies is equivalent to x cups of sugar for 90 cookies. Cross multiply to get 4*90 = 120*x, which simplifies to 360 = 120x. Divide by 120 to get x = 3 cups. Therefore, the correct answer is A: 3 cups of sugar. The other choices are incorrect because they do not align with the proportional relationship between the amount of sugar and the number of cookies in the recipe. Choice B, 2 cups, is too few as it would be for fewer than 90 cookies. Choice C, 1.5 cups, is even less than 2 cups and doesn't fit the ratio. Choice D, 4 cups, is the amount needed for 120 cookies, not 90.