HESI A2
HESI A2 Math Practice Test
1. What is the result of adding 12 + 2 + 312?
- A. 936
- B. 374.4
- C. 326
- D. 318.24
Correct answer: C
Rationale: To find the sum of 12 + 2 + 312, you simply need to add these numbers together. 12 + 2 = 14, and when you add 312 to 14, you get the correct total of 326. Therefore, the correct answer is C. Choice A (936), choice B (374.4), and choice D (318.24) are incorrect as they do not represent the correct sum of the given numbers.
2. Solve: 8x = x^2.
- A. 6
- B. 4
- C. 16
- D. 14
Correct answer: C
Rationale: To solve the equation 8x = x^2, rearrange it to x^2 - 8x = 0. Factor out an x to get x(x - 8) = 0. Set each factor to zero to find the solutions: x = 0 or x = 8. Therefore, x = 16 is the correct answer because x = 0 is not in the answer choices, and x = 8 is a distraction meant to confuse. Thus, choice C, 16, is the correct solution to the equation.
3. If the regular price of a bar is $2.50, how much do you save per bar if you purchase a value pack of 8 bars for $20?
- A. 15¢
- B. 40¢
- C. 75¢
- D. $1.20
Correct answer: B
Rationale: To determine how much you save per bar when buying a value pack of 8 bars for $20, calculate the individual price per bar by dividing the total price by the number of bars: $20 ÷ 8 = $2.50 per bar. When the pack price is lower than the individual price, you save money. The saving per bar is found by subtracting the pack price from the individual price: $2.50 (individual price) - $2.50 (pack price) = $0.40. Therefore, you save 40 cents per bar by purchasing the value pack. Choice A, 15¢, is incorrect because the actual saving is $0.40. Choice C, 75¢, is incorrect as it doesn't match the calculated saving. Choice D, $1.20, is incorrect as it is not the actual amount saved per bar.
4. If a recipe requires 3 eggs for every pound of cake, how many pounds of cake can be made with 40 eggs?
- A. 12 pounds
- B. 14 pounds
- C. 13 pounds
- D. 15 pounds
Correct answer: C
Rationale: To determine the pounds of cake that can be made with 40 eggs, divide the total number of eggs by the eggs needed per pound of cake: 40 eggs ÷ 3 eggs/pound = 13 pounds of cake. Therefore, the correct answer is 13 pounds. Choice A, 12 pounds, is incorrect because it does not consider the ratio of eggs to cake. Choice B, 14 pounds, and Choice D, 15 pounds, are incorrect as they do not reflect the correct calculation based on the given ratio in the question.
5. 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.
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