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: A

Rationale: To determine the number of cakes he can bake, first, find how many cakes can be baked per cup of sugar (4 cakes/10 cups = 0.4 cakes/cup). Since the bag is half full, he has 15 cups of sugar (30 cups/2). So, he can bake 6 cakes (0.4 cakes/cup * 15 cups = 6 cakes). Therefore, the correct answer is A: 6 cakes. The other choices are incorrect because they do not align with the calculations based on the given information.

Correct Answer: D

Rationale: The runner ran for 2 hours and 15 minutes (10:00 - 7:45). Distance = speed x time, so distance = 6 mph x 2.25 hours = 13.5 miles. The correct answer is D: 13.5 miles. Summary: A: 11.5 miles - Incorrect, less than the correct answer. B: 14.5 miles - Incorrect, more than the correct answer. C: 12 miles - Incorrect, less than the correct answer.

Correct Answer: D

Rationale: To convert 5 3/4 to a decimal, first convert the mixed number to an improper fraction: 5 * 4 + 3 / 4 = 23/4. Next, divide the numerator by the denominator: 23 ÷ 4 = 5.75. Since we are rounding to the nearest tenth, the answer is 5.8. Choice D (5.8) is correct because it correctly converts 5 3/4 to a decimal and rounds it to the nearest tenth. Choices A, B, and C are incorrect as they do not accurately represent the decimal equivalent of 5 3/4 when rounded to the nearest tenth.

Correct Answer: A

Rationale: To calculate the discounted price, we multiply the original price by (1 - discount percentage). In this case, 25% discount means 1 - 0.25 = 0.75. So, $120 * 0.75 = $90. Choice A is correct because it correctly calculates the discounted price. Choices B, C, and D are incorrect because they do not apply the discount correctly and provide incorrect values for the discounted price.