HESI A2 Math Practice Test 2023

Correct Answer: B

Rationale: To convert from kilograms to grams, you multiply by 1000 since 1 kilogram is equal to 1000 grams. So, 6 kilograms x 1000 = 6000 grams. Therefore, the correct answer is B: 6000 grams. Choice A (600 grams) is incorrect because it doesn't account for the conversion factor of 1000 between kilograms and grams. Choice C (600 grams) is also incorrect as it doesn't reflect the correct conversion. Choice D (60,000 grams) is incorrect as it misinterprets the conversion factor and multiplies incorrectly.

Correct Answer: C

Rationale: To find the volume of a cone, we use the formula V = (1/3)πr^2h. Plugging in the values, V = (1/3)π(5)^2(12) = 100π ≈ 314.16 cu cm. Therefore, the correct answer is C (150 cu cm), as it is the closest option to the calculated volume. Option A is too small, B is slightly larger, and D is too large compared to the actual volume.

Correct Answer: D

Rationale: To find 70% of 200, you multiply 200 by 0.70 (70%). So, 200 x 0.70 = 140. Therefore, the correct answer is D (140). Choice A (100) and B (100) are incorrect as they do not represent 70% of 200. Choice C (200) is incorrect as it represents the full 100% of 200, not 70%.

Correct Answer: A

Rationale: To add fractions with different denominators, first find a common denominator. In this case, the least common multiple of 8, 10, and 5 is 40. Then, convert each fraction to have a denominator of 40: 7/8 = 35/40, 9/10 = 36/40, and 6/5 = 24/40. Add them up to get 95/40 which simplifies to 2 & 15/40 = 3 & 3/8 = 3 & 39/40 (Choice A). Other choices are incorrect because they do not represent the correct sum of the fractions.

Correct Answer: A

Rationale: To determine the distance traveled by the train, we use the formula Distance = Speed x Time. Given the speed of 65 mph and time of 1.5 hours, we calculate 65 mph x 1.5 hours = 97.5 miles. Therefore, the correct answer is A: 97.5 miles. Option B, 100 miles, is incorrect as it does not match the calculated result. Options C and D, 98 miles and 95 miles, respectively, are also incorrect as they do not align with the calculated distance based on the given speed and time.