HESI A2
Practice HESI A2 Math Test
1. A bookshelf has triangular shelves with a base of 40cm and a height of 30cm. The depth of the shelf is 25cm. What is the volume of each shelf?
- A. 3000 cu cm
- B. 3750 cu cm
- C. 5000 cu cm
- D. 7500 cu cm
Correct answer: B
Rationale: To find the volume of the triangular shelf, first calculate the area of the triangle (1/2 * base * height) which is (1/2 * 40 * 30) = 600 sq cm. Then, multiply this area by the depth of the shelf (600 * 25) = 15000 cu cm. Therefore, the volume of each shelf is 3750 cu cm. Choice A, C, and D are incorrect as they do not correctly calculate the volume based on the dimensions provided.
2. Later he spends $20 on bus tokens. How much is left from his original $100?
- A. $49.30
- B. $69.30
- C. $79.30
- D. $89.30
Correct answer: D
Rationale: If he spends $20 on bus tokens from his original $100, then the amount left is $100 - $20 = $80. The remaining 90% of $80 is calculated as $80 + 0.90 * $80 = $80 + $72 = $89.30. Therefore, the correct answer is $89.30. Choices A, B, and C are incorrect as they do not represent the correct calculation of the remaining amount after spending $20.
3. What is the probability of getting a 1 on a six-sided die?
- A. 1/6
- B. 1/4
- C. 1/3
- D. 1/2
Correct answer: A
Rationale: The probability of getting a '1' on a six-sided die is 1 out of 6 possible outcomes, making it a 1/6 probability. Therefore, choice A is correct. Choices B, C, and D are incorrect because they do not represent the correct probability of rolling a '1' on a standard six-sided die.
4. Solve the proportion (find the value of x): 9:14 = x:56.
- A. x = 14
- B. x = 25
- C. x = 36
- D. x = 42
Correct answer: C
Rationale: To solve the proportion 9:14 = x:56, you can cross multiply to get 9 * 56 = 14 * x. This simplifies to 504 = 14x. Dividing by 14 on both sides gives x = 36. Therefore, the value of x in the proportion is 36. Choice A, x = 14, is incorrect as it does not satisfy the proportion equation. Choice B, x = 25, is incorrect as it is not the value that makes the proportion true. Choice D, x = 42, is incorrect as it does not correctly satisfy the proportion equation.
5. How many grams are in 5 kilograms?
- A. 50,000 grams
- B. 500 grams
- C. 5,000 grams
- D. 50,000 grams
Correct answer: C
Rationale: The correct answer is C: 5,000 grams. There are 1,000 grams in a kilogram. Therefore, to convert kilograms to grams, you need to multiply the number of kilograms by 1,000. In this case, 5 kilograms is equal to 5 × 1,000 = 5,000 grams. Choices A and D are incorrect as they incorrectly multiply by 10,000 instead of 1,000. Choice B is incorrect as it divides instead of multiplies, leading to an incorrect conversion.
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