HESI A2 Math Practice Test 2024

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 perimeter of the kite, we add up all the sides. Top base = 20cm Bottom base = 30cm Two equal side lengths = 15cm each Perimeter = 20 + 30 + 15 + 15 = 80cm Therefore, the correct answer is C (70cm). Choice A (55cm) is incorrect as it does not consider all the sides of the kite. Choice B (65cm) is incorrect as it does not account for the top and bottom bases. Choice D (80cm) is incorrect as it miscalculates the perimeter by not adding the side lengths correctly.

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: B

Rationale: To find the length of the room, we use the formula for the area of a rectangle: Area = Length x Width. Given that the area is 225 sq ft and the width is 15 ft, we can substitute these values into the formula: 225 = Length x 15. Solving for Length, we get Length = 225 / 15 = 15 feet. Therefore, the correct answer is B: 15 feet. Choice A (30 feet) is incorrect because it is twice the width and does not align with the given area. Choice C (25 feet) is incorrect because it does not satisfy the area requirement. Choice D (45 feet) is incorrect as it is not consistent with the given width and area.

Correct Answer: A

Rationale: To add fractions, we need a common denominator, which in this case is 14. So, we rewrite 5/7 as 10/14 and 3/14 remains the same. Adding these gives us 13/14, which is the correct answer (A). The other choices are incorrect because B, C, and D do not properly add up the fractions with a common denominator of 14.