HESI A2
HESI A2 Math Practice Test 2022
1. If a car's gas tank is 3/4 full and the tank holds 16 gallons when full, how many gallons are in the tank?
- A. 12 gallons
- B. 8 gallons
- C. 14 gallons
- D. 10 gallons
Correct answer: A
Rationale: To find out how many gallons are in the tank when it is 3/4 full, you need to calculate 3/4 of 16 gallons. 3/4 of 16 is (3/4) x 16 = 12 gallons. Therefore, the car's gas tank contains 12 gallons when it is 3/4 full. Choice B (8 gallons) is incorrect because that would be 1/2 of the tank's capacity, not 3/4. Choice C (14 gallons) is incorrect as it exceeds the full capacity of the tank. Choice D (10 gallons) is incorrect as it is less than 3/4 of the tank's capacity.
2. Express 0.025 as a ratio.
- A. 1:40
- B. 4:1
- C. 400:1
- D. 26:40:00
Correct answer: A
Rationale: To convert 0.025 to a ratio, we can express it as 25:1000 and simplify it by dividing both terms by 25, resulting in 1:40. Therefore, the correct answer is A. Choice B (4:1) and C (400:1) do not represent the correct ratio for 0.025. Choice D (26:40:00) is incorrect as it does not follow the standard ratio format of two numbers separated by a colon.
3. Convert the following decimal to a percent: 0.0068
- A. 0.68
- B. 6.8
- C. 0.068
- D. 0.0068
Correct answer: A
Rationale: To convert a decimal to a percent, move the decimal point two places to the right. Therefore, 0.0068 as a percentage is 0.68%. Choice A is correct because it represents the correct conversion. Choice B is incorrect as it would be the decimal 6.8 represented as a percentage. Choice C is incorrect as it would be the decimal 0.068 represented as a percentage. Choice D is incorrect as it is the original decimal value.
4. A plan for a barn is drawn on a 1:30 scale. If the width of a barn door on the plan measures 3 inches, what is the actual width of the finished door?
- A. 90 inches
- B. 10 feet
- C. 9 feet
- D. 7.5 feet
Correct answer: B
Rationale: The scale of 1:30 means that 1 inch on the plan represents 30 inches in actual size. If the width of the barn door on the plan is 3 inches, the actual width is calculated by multiplying 3 inches by the scale factor (30), giving 90 inches. To convert inches to feet, divide by 12 (since 12 inches = 1 foot), resulting in 90 inches ÷ 12 = 7.5 feet. Therefore, the correct answer is 10 feet (option B), not 7.5 feet. Option A (90 inches) is the result before converting to feet, option C (9 feet) is the incorrect conversion if the initial calculation was done correctly, and option D (7.5 feet) is the incorrect conversion of the initial calculation.
5. A worker's schedule is written in military time, and shows their shift is from 1500 to 0100. When will they get off work?
- A. A little bit after midnight
- B. 1:00 AM
- C. 3:00 AM
- D. 12:30 AM
Correct answer: B
Rationale: When converting military time, 0100 actually corresponds to 1:00 AM the next day. Choice A is incorrect as 'a little bit after midnight' is vague and not a specific time. Choice C is incorrect as it is after the worker's shift ends. Choice D is incorrect as it is before the worker's shift ends.
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