HESI A2
HESI A2 Math Portion
1. Write the date 1776 in Roman numerals.
- A. MDCCLXXVI
- B. MDDLXXI
- C. MCCDLXVI
- D. MCMLXXVI
Correct answer: A
Rationale: In Roman numerals, 1776 is correctly written as MDCCLXXVI. Here's the breakdown: M (1000) + D (500) + CCC (300) + L (50) + XX (20) + VI (6) = 1776. Therefore, the correct Roman numeral representation of the date 1776 is MDCCLXXVI. Choice A is correct because it follows the correct Roman numeral rules for representing 1776. Choices B, C, and D are incorrect as they do not add up to 1776 according to Roman numeral conventions.
2. If a party planner assumes 2 bottles of sparkling water per 5 guests, how many bottles must she purchase for a party of 145 guests?
- A. 27
- B. 36
- C. 49
- D. 58
Correct answer: D
Rationale: If the party planner assumes 2 bottles of sparkling water per 5 guests, for a party of 145 guests, she would need ((2/5) x 145) bottles of sparkling water. This calculation results in 58 bottles. Therefore, she must purchase 58 bottles for the party of 145 guests. Choices A, B, and C are incorrect as they do not reflect the correct calculation based on the given assumption.
3. What is the probability of rolling a 2 on a six-sided die?
- A. 1/6
- B. 1/4
- C. 1/3
- D. 1/2
Correct answer: A
Rationale: The correct answer is A: 1/6. A six-sided die has one face with a '2' out of six possible outcomes (numbers 1 to 6). Therefore, the probability of rolling a 2 is 1/6. Choices B, C, and D are incorrect because they do not reflect the specific probability of rolling a 2 on a six-sided die.
4. Express the number 1906 in Roman numerals.
- A. MCMIV
- B. MCMVI
- C. MDCCCCVI
- D. MCMVII
Correct answer: B
Rationale: To convert 1906 to Roman numerals, break it down into components: 1000 (M), 900 (CM), 6 (VI), resulting in MCMVI. Therefore, the correct Roman numeral representation for 1906 is MCMVI. Choice A (MCMIV) is incorrect as it represents 1904. Choice C (MDCCCCVI) is incorrect because it uses the subtractive notation incorrectly, and it's considered nonstandard. Choice D (MCMVII) is incorrect as it represents 1907, not 1906.
5. What is the opposite of -3?
- A. -6
- B. 3
- C. 0
- D. 6
Correct answer: B
Rationale: The opposite of a number is the number that, when added to it, results in zero. In this case, the opposite of -3 is a number that, when added to -3, gives 0. Therefore, the opposite of -3 is 3, as -3 + 3 = 0. Choice A, -6, is incorrect because -3 + (-6) = -9, not zero. Choice C, 0, is the additive inverse of 0, not -3. Choice D, 6, is also incorrect as -3 + 6 = 3, not zero.
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