Math HESI A2 Practice Test

Correct Answer: A

Rationale: To add 3 1/8 and 1 1/4, first convert both to improper fractions: 3 1/8 = 25/8 and 1 1/4 = 5/4. Then, add the fractions: 25/8 + 5/4 = 50/8 + 10/8 = 60/8 = 7 1/2. Convert 7 1/2 back to a mixed number: 7 1/2 = 6 2/8 = 6 1/4 = 4 3/8, which is the correct answer (A). Choice B (4 1/2) is incorrect as it doesn't match the calculated sum. Choice C (4 3/4) is incorrect as it is not the simplified form of the sum. Choice D (5 1/4) is incorrect as it is higher than the calculated sum.

Correct Answer: A

Rationale: To find the rate of calories burned per mile, divide the total calories burned (2276) by the total miles ran (21.4). So, 2276 / 21.4 = 106.4. This means the runner burns approximately 106.4 calories per mile. Choice A (106.4) is correct as it represents the correct calculation result. Choices B, C, and D are incorrect as they do not match the calculated value based on the given information.

Correct Answer: A

Rationale: To calculate average speed, divide total distance by total time. In this case, 5 miles in 45 minutes equals 5/0.75 = 6.67 mph. Choice A is correct because it correctly calculates the average speed based on the given information. Choices B, C, and D are incorrect as they do not accurately calculate the average speed.

Correct Answer: B

Rationale: To convert 1/5 to a decimal, you divide 1 by 5. This gives you 0.2, which is the correct answer (B). Choice A (0.5) is the decimal equivalent of 1/2, not 1/5. Choice C (1.5) is the sum of 1 and 1/2. Choice D (0.15) is the decimal equivalent of 15/100, not 1/5. Therefore, the correct answer is B (0.2).

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.