HESI A2
HESI A2 Math Practice Test
1. For his daily commute, Paul drives about 115 miles round trip. If he fills up his gas tank with 9 gallons every other day, about how many miles per gallon is his car averaging?
- A. 12.8
- B. 23
- C. 25.6
- D. 57.5
Correct answer: C
Rationale: To find the miles per gallon Paul's car is averaging, we first need to determine the miles he drives on 9 gallons of gas. Since he drives about 115 miles round trip daily, he covers approximately 115/2 = 57.5 miles one way. If he fills up his gas tank with 9 gallons every other day, he covers 115 miles every 2 days. This means his car is averaging around 57.5 miles per 9 gallons, which equals approximately 6.38 miles per gallon. As he uses 9 gallons every other day, his car averages about 6.38 * 2 = 12.76 miles per gallon. Among the given options, the closest value to this calculation is option C, 25.6 miles per gallon. Choice A is incorrect because it does not accurately reflect the mileage per gallon calculation. Choice B is incorrect as it is not the closest to the calculated value. Choice D is incorrect as it is significantly higher than the calculated mileage per gallon.
2. Multiply: 35 × 25 =
- A. 0.00875
- B. 0.0875
- C. 0.875
- D. 8.75
Correct answer: D
Rationale: To multiply 35 × 25, break it down into (30 + 5) × 25. Now distribute: (30 × 25) + (5 × 25) = 750 + 125 = 875. Therefore, 35 × 25 = 875. Choices A, B, and C are incorrect because they do not represent the correct result of multiplying 35 by 25. Choice A is 1000 times smaller than the correct answer, Choice B is 100 times smaller, and Choice C is 10 times smaller, making them all incorrect. The correct answer is Choice D, 8.75.
3. A stop sign has five equal sides, each measuring 25cm. What is its perimeter?
- A. 100cm
- B. 125cm
- C. 150cm
- D. 175cm
Correct answer: C
Rationale: Rationale: - Since a stop sign has five equal sides, each measuring 25cm, the perimeter can be calculated by adding up the lengths of all five sides. - Perimeter = 25cm + 25cm + 25cm + 25cm + 25cm = 125cm - Therefore, the perimeter of the stop sign is 125cm.
4. Multiply: 54 × 45. Express the result in decimal form.
- A. 0.0243
- B. 0.243
- C. 2.43
- D. 24.3
Correct answer: D
Rationale: To multiply 54 by 45, you should multiply the two numbers together: 54 x 45 = 2430. The decimal point is placed after counting the total decimal places in the numbers being multiplied. As there are no decimal places in the numbers 54 and 45, the result is 2430, which is correctly expressed as 24.3 when considering the decimal point placement. Choice A (0.0243) and Choice B (0.243) are incorrect as they represent fractions of 2430. Choice C (2.43) is incorrect as it incorrectly places the decimal point one place before the actual result.
5. If x=11, solve (x+44)/2x.
- A. 33
- B. 2.5
- C. 13
- D. 55/22
Correct answer: B
Rationale: Given x=11, substitute into the expression: (11 + 44) / (2*11) = 55 / 22 = 2.5. Therefore, the correct answer is 2.5. Choice A (33) is incorrect as it does not represent the correct calculation. Choice C (13) is incorrect as it is not the result of the expression. Choice D (55/22) is incorrect as it is the same as the simplified form of the expression, not the answer to the calculation.
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