Math HESI A2 Practice Test

Correct Answer: C

Rationale: To find the perimeter (circumference) of a circle, we use the formula C = πd, where d is the diameter. Given the diameter of the pizza is 40cm, we substitute this into the formula: C = π * 40 = 125.6cm (Choice C). This is the correct answer as it accurately calculates the circumference. Choices A, B, and D are incorrect because they do not provide the correct calculation based on the given diameter. Choice A (62.8cm) seems to be using the formula for the circumference of a circle with radius, not diameter. Choices B and D are simply incorrect calculations.

Correct Answer: C

Rationale: To find the total words typed in 20 minutes, multiply words per minute by minutes: 45 words/minute x 20 minutes = 900 words. Thus, the correct answer is C (900 words). A is incorrect as it miscalculates the total. B is incorrect as it underestimates the total. D is incorrect as it duplicates option A.

Correct Answer: A

Rationale: To divide 5 3/4 by 1/2, we convert 5 3/4 to an improper fraction as 23/4. Then, we divide 23/4 by 1/2, which is equivalent to multiplying by the reciprocal of 1/2, which is 2. Therefore, 23/4 * 2 = 46/4 = 11 1/2. The correct answer is A. Other choices are incorrect as they do not result from the correct calculation process.

Correct Answer: A

Rationale: The correct answer is A: 50%. A six-sided die has 3 even numbers (2, 4, 6) out of a total of 6 possible outcomes (1, 2, 3, 4, 5, 6). To calculate the probability of rolling an even number, we divide the number of favorable outcomes (3) by the total number of outcomes (6), resulting in 3/6 = 0.5 or 50%. Explanation of other choices: B: 16.70% - Incorrect. This percentage does not represent the probability of rolling an even number on a six-sided die. C: 25% - Incorrect. This represents the probability of rolling any number divisible by 5 on a six-sided die, not just even numbers. D: 33.30% - Incorrect. This percentage does not reflect the probability of rolling an even number on a six-sided die.

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, find a common denominator, which is 12. Now, add the fractions: 27/4 + 49/6 = 81/12 + 98/12 = 179/12. Convert the improper fraction back to a mixed number: 179/12 = 14 11/12. Therefore, the correct answer is A (14 11/12). Choices B, C, and D are incorrect because they do not match the correct calculation.