Math HESI A2 Practice Test

Correct Answer: A

Rationale: To subtract 12 - 7 4\5, you first convert 12 to an improper fraction: 12 = 60\5. Then, subtract 60\5 - 7 4\5 = 60\5 - 39\5 = 21\5. Finally, convert 21\5 back to a mixed number, which is 4 1\5 or 5 1\5. Therefore, the correct answer is A. Choices B, C, and D are incorrect as they do not result from the correct subtraction process.

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: A

Rationale: The correct answer is A: 1/6. There is only one outcome of rolling a 2 on a six-sided die, and there are a total of six possible outcomes (1, 2, 3, 4, 5, 6). Therefore, the probability of rolling a 2 is 1 out of 6, which simplifies to 1/6. Explanation for why other choices are incorrect: B: 1/4 - This is incorrect because there is only one outcome of rolling a 2, not 2 outcomes out of 6. C: 1/3 - This is incorrect because the probability of rolling a 2 is not 1 out of 3, but 1 out of 6. D: 1/2 - This is incorrect because the probability of rolling a 2 is not 1 out of 2, but 1 out of 6.

Correct Answer: C

Rationale: To solve for x, add 7 to both sides of the equation: 2x - 7 + 7 = 9 + 7. This simplifies to 2x = 16. Then, divide by 2 on both sides to get x = 8. This is the correct answer (C) because it correctly follows the principles of algebra. Choices A, B, and D are incorrect as they do not yield the correct solution when substituted back into the original equation.

Correct Answer: C

Rationale: To calculate the surface area of the rectangular box, you need to find the area of each face. The box has 6 faces, and each face's area is 40*30cm=1200cm². Therefore, the total surface area is 6*1200cm²=7200cm²=0.72m². Since one sheet covers 0.5m², you need 0.72m²/0.5m²=1.2 sheets of cardboard, which is equivalent to 1.2m². This is why option C, 1.2 sq m, is the correct answer. Option A (0.3 sq m), B (0.6 sq m), and D (1.8 sq m) are incorrect as they do not align with the correct calculation of the surface area of the rectangular box.