HESI A2 Math

Correct Answer: A

Rationale: To add 6 3/4 and 8 1/6, first convert both mixed numbers to improper fractions: 6 3/4 = 27/4 and 8 1/6 = 49/6. Then, add the fractions: 27/4 + 49/6 = 162/24 + 98/24 = 260/24 = 10 & 10/12 = 11 & 10/12 = 14 & 11/12. Therefore, the correct answer is A. Choice B is incorrect as it simplifies to 12 & 1/6, not 12 & 3/24. Choice C simplifies to 5 & 5/6, not 35/6. Choice D simplifies to 14 & 2/5, not 14 & 11/12.

Correct Answer: B

Rationale: The value of pi (?) is approximately 3.14159. When rounded to 2 decimal places, it becomes 3.14. This is because the decimal places after 3.14 are 1 and 5, which are greater than or equal to 5, so the 4 in the hundredths place rounds up to 5. Therefore, choice B (3.14) is the correct answer. Choices A, C, and D are incorrect because they do not accurately represent the value of pi rounded to 2 decimal places.

Correct Answer: B

Rationale: To find the perimeter of a square, you add up all the sides. Since a square has four equal sides, the perimeter is the side length multiplied by 4. In this case, the side length is 5 meters, so the perimeter would be 5 * 4 = 20 meters. Therefore, choice B (20 meters) is correct. Choice A (15 meters) is incorrect because it is the result of adding the side length once instead of multiplying by 4. Choice C (25 meters) and choice D (30 meters) are incorrect as they are the results of adding or multiplying incorrectly.

Correct Answer: C

Rationale: To find the GCF of 12 and 18, list the factors of each: 12: 1, 2, 3, 4, 6, 12; 18: 1, 2, 3, 6, 9, 18. The common factors are 1, 2, 3, and 6. The greatest common factor is the largest number that both 12 and 18 can be divided by without remainder, which is 6. Choice A (2) and B (3) are factors, but not the greatest common factor. Choice D (9) is a factor of 18 but not 12, so it cannot be the GCF.

Correct Answer: C

Rationale: To find the length of the second building's shadow, we can use the concept of similar triangles. The ratio of the first building's height to its shadow length is 1700/525. Since the second building is shorter, the ratio should remain the same. Cross-multiplying, we get (1700/525) = (1450/x), where x is the length of the shadow of the second building. Solving for x gives x = (1450*525)/1700 = 448.5 feet. Therefore, choice C is correct. Choices A, B, and D are incorrect because they do not correctly calculate the length of the shadow using the given information and the concept of similar triangles.