HESI A2 Math Practice Test 2023

Correct Answer: A

Rationale: To solve for x in the proportion 120:x = 40:0.5, first cross multiply to get 120*0.5 = 40*x. This simplifies to 60 = 40x. Divide both sides by 40 to find x = 1.5, which is choice A. The other choices are incorrect because: - B: 60 - Incorrect, doesn't match the calculation. - C: 0.167 - Incorrect, not the result of the calculation. - D: 16 - Incorrect, doesn't match the calculation.

Correct Answer: A

Rationale: The correct answer is A: 1/6. The probability of getting a 1 on a six-sided die is calculated by dividing the number of favorable outcomes (rolling a 1) by the total number of possible outcomes (6 sides on the die). Since there is only 1 side with a 1, the probability is 1/6. Choice B (1/4) is incorrect as it represents the probability of rolling a 1 on a four-sided die, which only has 4 sides. Choice C (1/3) is incorrect as it represents the probability of rolling a 1 on a three-sided die, which is not a standard die. Choice D (1/2) is incorrect as it represents the probability of rolling a 1 on a two-sided die, which is not a standard die.

Correct Answer: C

Rationale: To convert 9/10 to a decimal, you divide 9 by 10. The result is 0.9. This is because in decimal form, the denominator becomes the place value. So 9 divided by 10 equals 0.9. Choice A (0.7) is incorrect because 7/10 is equivalent to 0.7. Choice B (0.8) is incorrect because 8/10 is equivalent to 0.8. Choice D (1) is incorrect as 1 represents the whole number equivalent, not the decimal form of 9/10. Therefore, the correct answer is C (0.9).

Correct Answer: C

Rationale: To calculate the distance traveled, we use the formula Distance = Speed x Time. Given speed is 60 mph and time is 5 hours, we get Distance = 60 mph x 5 hours = 300 miles. Therefore, the correct answer is C. Option A is incorrect as it miscalculates the product of 60 x 5. Option B is incorrect as it is a lower value. Option D is a duplicate of option A and is also incorrect.

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%.