HESI A2
HESI A2 Math Practice Test
1. What is the result of dividing 2,032 by 25?
- A. 91 r3
- B. 81 r28
- C. 81 r7
- D. 9 r3
Correct answer: C
Rationale: When dividing 2,032 by 25, you find that 25 goes into 2,032 a total of 81 times without exceeding it. The remainder is 7, not 28 as stated in choice B. This is because 25 * 81 = 2,025, leaving a difference of 7, not 28. Choice A and D are incorrect because they do not correctly represent the division result of 2,032 by 25.
2. Erin has 6.25 peach pies. She gives Rose 3.75 of the peach pies. How many pies does Erin have left?
- A. 2 peach pies
- B. 3 peach pies
- C. 1 peach pie
- D. 2 peach pies
Correct answer: A
Rationale: To find how many pies Erin has left, subtract 3.75 from 6.25: 6.25 - 3.75 = 2.5 peach pies. Erin has 2.5 peach pies left, which rounds down to 2 pies, making choice A the correct answer. Choices B, C, and D are incorrect because they do not reflect the correct subtraction result.
3. What is the probability of rolling a 3 on a six-sided die?
- A. 1/6
- B. 1/4
- C. 1/3
- D. 1/2
Correct answer: A
Rationale: The probability of rolling a specific number on a six-sided die is calculated by dividing the favorable outcomes (rolling a 3) by the total possible outcomes. In this case, there is 1 favorable outcome (rolling a 3) out of 6 total possible outcomes (numbers 1 to 6 on the die). Therefore, the probability of rolling a 3 is 1/6. Choice B (1/4), C (1/3), and D (1/2) are incorrect because they do not represent the correct calculation of the probability for rolling a 3 on a six-sided die.
4. Solve for x: 3x - 5 = 10
- A. x = 5
- B. x = 10
- C. x = 15
- D. x = 20
Correct answer: A
Rationale: To solve the equation 3x - 5 = 10, start by isolating x. Add 5 to both sides of the equation to get 3x = 15. Then, divide by 3 on both sides to find x = 5. Therefore, the correct answer is x = 5. Choice B, x = 10, is incorrect because adding 5 to 10 does not yield 10. Choice C, x = 15, is incorrect as adding 5 to 15 does not equal 10. Choice D, x = 20, is incorrect because adding 5 to 20 does not result in 10.
5. A landscaping plan is drawn on a 1:50 scale. If a deck in the plan measures 12 cm by 10 cm, how large is the deck in real life?
- A. 12 m by 10 m
- B. 6 m by 5 m
- C. 5 m by 2 m
- D. 4 m by 3 m
Correct answer: B
Rationale: Since the landscaping plan is drawn on a 1:50 scale, the real-life dimensions of the deck can be calculated by multiplying the dimensions on the plan by the scale factor. The dimensions given are 12 cm by 10 cm. Multiplying these dimensions by the scale factor of 50 gives us 600 cm by 500 cm, which is equivalent to 6 m by 5 m in real life. Choice A is incorrect as it doesn't consider the scale factor. Choice C and Choice D are incorrect as they are not the result of multiplying the dimensions by the scale factor.
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