HESI A2
HESI A2 Math Practice Test 2023
1. Subtract 14.5 - 7.25.
- A. 7.15
- B. 7.25
- C. 7.15
- D. 7.5
Correct answer: B
Rationale: The correct answer is B. When you subtract 7.25 from 14.5, you get 7.25. The difference between 14.5 and 7.25 is 7.25. Choices A, C, and D are incorrect. Choice A (7.15) is the result of incorrectly subtracting 14.5 - 7.25. Choice C repeats choice A, so it is also wrong. Choice D (7.5) is not the correct result of the subtraction provided in the question.
2. A birdbath has a hemispherical bowl with a diameter of 30cm. What is its volume?
- A. 675 cu cm
- B. 1350 cu cm
- C. 2700 cu cm
- D. 4050 cu cm
Correct answer: C
Rationale: To find the volume of a hemispherical bowl, we use half the formula for a sphere's volume: (2/3) * π * (radius)^3. Given the diameter is 30cm, the radius is half of that, which is 15cm. Substitute the radius into the formula: (2/3) * π * (15cm)^3 ≈ 2700 cu cm. Therefore, the correct volume is approximately 2700 cu cm. Choices A, B, and D are incorrect as they do not correctly calculate the volume of the hemispherical bowl.
3. You need 4/5 cups of water for a recipe. You accidentally put 1/3 cups into the mixing bowl with the dry ingredients. How much more water in cups do you need to add?
- A. 7/15 cups
- B. 2/3 cups
- C. 1/3 cups
- D. 1/15 cups
Correct answer: A
Rationale: To find how much more water is needed, subtract 1/3 cup from 4/5 cup. First, find a common denominator: The least common denominator between 5 and 3 is 15. Convert the fractions: 4/5 = 12/15, 1/3 = 5/15. Now, subtract: 12/15 - 5/15 = 7/15. Therefore, you need to add 7/15 cups of water. Choice B (2/3 cups) is incorrect because it does not represent the correct amount of additional water needed. Choice C (1/3 cups) is incorrect because this is the amount of water that was accidentally added. Choice D (1/15 cups) is incorrect as it does not reflect the correct calculation of the additional water required.
4. Find x if 40:5 = 60:x.
- A. 12
- B. 7
- C. 1
- D. 8
Correct answer: B
Rationale: To find x in the proportion 40:5 = 60:x, set up the equation: 40/5 = 60/x. Cross-multiply to solve for x: 40x = 60 * 5 => 40x = 300. Divide by 40 to isolate x: x = 300 / 40 = 7.5. However, x should be a whole number since it represents a quantity, so x = 7. Therefore, the correct answer is 7 (B). Choices A, C, and D are incorrect as they do not satisfy the proportion equation.
5. Positive integers are numbers greater than zero. Which of the following expressions results in the largest positive number?
- A. (2 + 3)^2
- B. 5 x 7 + 2
- C. 10^2 - 4^2
- D. (8 - 1) x 3
Correct answer: C
Rationale: To find the largest positive number among the expressions, we evaluate each one: A) (2 + 3)^2 = 5^2 = 25 B) 5 x 7 + 2 = 35 + 2 = 37 C) 10^2 - 4^2 = 100 - 16 = 84 D) (8 - 1) x 3 = 7 x 3 = 21 Therefore, the expression that results in the largest positive number is 10^2 - 4^2, which equals 84. Choices A, B, and D result in smaller numbers.
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