Math HESI A2 Practice Test

Correct Answer: A

Rationale: To subtract mixed numbers, first convert them to improper fractions. 15 3/4 = (4*15+3)/4 = 63/4, and 8 2/5 = (5*8+2)/5 = 42/5. Then, find a common denominator, which is 20 in this case. Subtract the fractions: 63/4 - 42/5 = (63*5 - 42*4)/20 = (315 - 168)/20 = 147/20. Finally, convert the result back to a mixed number: 147/20 = 7 7/20. Therefore, the correct answer is A: 7 7/20. Choices B, C, and D are incorrect because they do not correctly represent the result of the subtraction calculation.

Correct Answer: B

Rationale: To divide 3.44 by 0.6, we perform the division as follows: 3.44 / 0.6 = 5.73 The correct answer is B. When dividing a decimal number by another decimal number, we move the decimal point in both numbers to make the divisor a whole number. Then we divide as usual. Choices A, C, and D are incorrect as they do not result from the correct division.

Correct Answer: B

Rationale: The correct answer is B: Decimal. The decimal number system is commonly used in the United States because it is based on powers of 10, making it easy for people to understand and use in everyday life, such as in currency, measurements, and calculations. Tertiary and Napoleonic number systems are not commonly used in the United States. Binary is a base-2 number system, which is used in computer science but not as widely used in everyday life in the US.

Correct Answer: A

Rationale: To subtract mixed numbers, first convert them to improper fractions. 15 3/4 = (4*15+3)/4 = 63/4, and 8 2/5 = (5*8+2)/5 = 42/5. Then, find a common denominator, which is 20 in this case. Subtract the fractions: 63/4 - 42/5 = (63*5 - 42*4)/20 = (315 - 168)/20 = 147/20. Finally, convert the result back to a mixed number: 147/20 = 7 7/20. Therefore, the correct answer is A: 7 7/20. Choices B, C, and D are incorrect because they do not correctly represent the result of the subtraction calculation.

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.