HESI A2
HESI A2 Math Practice Test
1. Which of these dates is represented by the Roman numeral MMXV?
- A. 2001
- B. 2015
- C. 2051
- D. 2105
Correct answer: B
Rationale: The Roman numeral MMXV represents the year 2015. In Roman numerals, M represents 1000, X represents 10, and V represents 5. Therefore, by converting the Roman numeral MMXV into its numerical equivalent (1000 + 10 + 5), it corresponds to the year 2015. Choice A (2001) is incorrect as it would be represented as MM + I, choice C (2051) would be represented as MM + LI, and choice D (2105) would be represented as MMCV in Roman numerals, making them all inaccurate representations of MMXV.
2. Multiply and express as a decimal: 6 × 55 =
- A. 0.0033
- B. 0.033
- C. 0.33
- D. 3.3
Correct answer: D
Rationale: To find the result of multiplying 6 by 55, you perform the operation 6 × 55, which equals 330. To express this product in decimal form, you place the decimal point one place from the right, resulting in 3.3. Therefore, the correct answer is D (3.3). Choices A, B, and C are incorrect as they do not represent the correct decimal equivalent of the multiplication of 6 and 55.
3. A bag contains 5 red marbles and 7 blue marbles. If you draw a marble without looking, what is the probability it will be red?
- A. 1/4
- B. 1/3
- C. 1/2
- D. 2/3
Correct answer: B
Rationale: The total number of marbles in the bag is 5 (red) + 7 (blue) = 12 marbles. The probability of drawing a red marble is the number of red marbles divided by the total number of marbles: 5/12. Simplifying 5/12 gives 1/3. Therefore, the correct probability of drawing a red marble is 1/3. Choice A (1/4) is incorrect because there are more red marbles than 1/4 of the total marbles. Choice C (1/2) is incorrect as it represents half of the total marbles. Choice D (2/3) is incorrect as it implies there are more red marbles than there actually are.
4. A train takes 1.5 hours at a constant speed of 65 mph to arrive at the destination. How many miles did the train travel?
- A. 97.5 miles
- B. 100 miles
- C. 98 miles
- D. 95 miles
Correct answer: A
Rationale: To calculate the distance traveled, multiply the speed by the time taken: 65 mph × 1.5 hours = 97.5 miles. Therefore, the correct answer is A. Choice B (100 miles) is incorrect as it results from rounding up, which is not necessary. Choice C (98 miles) and Choice D (95 miles) are incorrect as they do not reflect the correct calculation based on the given speed and time.
5. Simplify the expression: -5 + (-8)
- A. -13
- B. 8
- C. 13
- D. -5
Correct answer: A
Rationale: When adding two negative numbers, you add their absolute values and keep the negative sign. In this case, -5 + (-8) is equal to -13 because the absolute values of 5 and 8 add up to 13, and the negative sign is retained. Choice B (8) is incorrect because adding two negative numbers results in a negative sum. Choice C (13) is incorrect as it doesn't consider the negative signs of the numbers being added. Choice D (-5) is incorrect because it does not account for the addition of the two negative numbers.
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