HESI A2
HESI A2 Math Practice Test 2024
1. Scientific notation is a way to represent very large or small numbers in a compact form. If a number is written as 4.82 x 10^3, what is the value of the number in standard form?
- A. 0.004 82
- B. 0.482
- C. 4820
- D. 4820000
Correct answer: C
Rationale: Rationale: When a number is written in scientific notation as \(a \times 10^n\), the value of the number in standard form is obtained by multiplying \(a\) by \(10^n\). In this case, the number is \(4.82 \times 10^3\). To convert this to standard form, we multiply 4.82 by \(10^3\), which means moving the decimal point 3 places to the right. \(4.82 \times 10^3 = 4820\) Therefore, the value of the number in standard form is 4820, which corresponds to option C.
2. A teacher's aide is preparing a snack for the class. In order to prepare the powdered drink, the aide must convert the directions to metric. The directions say, 'Dilute contents of package in 2 quarts of water.' The aide has a measuring device marked in liters. How many liters of water should be used?
- A. 2
- B. 1
- C. 3 liters
- D. 5 liters
Correct answer: A
Rationale: To convert 2 quarts to liters, we can use the conversion factor that 1 quart is approximately equal to 0.95 liters. Therefore, 2 quarts would be approximately 1.9 liters, which is closest to 2 liters. As the measuring device is marked in liters, the teacher's aide should use 2 liters of water to dilute the contents of the package. Choice A is correct. Choice B is incorrect because it's the same as the original amount in quarts. Choice C is incorrect as it suggests using more water than necessary. Choice D is incorrect as it suggests using significantly more water than necessary.
3. Express 0.608 as a percent.
- A. 60.8%
- B. 68%
- C. 0%
- D. 6%
Correct answer: A
Rationale: To convert a decimal to a percentage, you move the decimal point two places to the right and add a percentage sign. Therefore, 0.608 as a percent is 60.8%. The correct answer is A. Choice B (68%) is incorrect because it represents the percentage for a different decimal value. Choice C (0%) is incorrect as it represents 0 as a percentage, not 0.608. Choice D (6%) is incorrect as it also represents a different decimal value, not 0.608.
4. Which of the following is equivalent to 0.0009?
- A. 0.09%
- B. 9%
- C. 0.01%
- D. 0.90%
Correct answer: A
Rationale: The correct answer is A: 0.09%. To convert 0.0009 to a percentage, move the decimal point four places to the right and add a percentage sign. Therefore, 0.0009 is equal to 0.09%. Choice B (9%) is incorrect as it represents 0.09 without the decimal point adjustment. Choice C (0.01%) is incorrect as it represents 0.0009 with one less zero. Choice D (0.90%) is incorrect as it represents 0.9 not 0.0009.
5. In the number 743.25, which digit represents the tenths place?
- A. 3
- B. 4
- C. 2
- D. 5
Correct answer: C
Rationale: In the number 743.25, the tenths place is the first digit to the right of the decimal point, which is 2. Therefore, the correct answer is C. Choice A (3) represents the hundredths place, choice B (4) represents the units place, and choice D (5) represents the hundredths place.
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