HESI A2
HESI A2 Math
1. A family uses 12 gallons of water every day. How many gallons do they use in a non-leap year?
- A. 4,120 gallons
- B. 4,380 gallons
- C. 3,840 gallons
- D. 4,350 gallons
Correct answer: B
Rationale: To determine the total gallons the family uses in a non-leap year, you have to multiply the daily consumption by the number of days in a non-leap year. So, 12 gallons/day x 365 days = 4,380 gallons used per year. Therefore, the correct answer is B. Choice A is incorrect as it provides an inaccurate total by not considering the total days in a year. Choice C is incorrect as it offers a lower value due to not multiplying the daily usage by the total days in a year. Choice D is incorrect as it doesn't accurately calculate the total gallons used in a non-leap year.
2. How many grams are in 6 kilograms?
- A. 600 grams
- B. 6000 grams
- C. 600 grams
- D. 60,000 grams
Correct answer: B
Rationale: 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, 6 kilograms would be equal to 6 × 1,000 = 6,000 grams. Choices A, C, and D are incorrect because they do not apply the correct conversion factor from kilograms to grams.
3. 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.
4. If 7 is to 9 as x is to 63, find the value of x.
- A. x = 49
- B. x = 39
- C. x = 50
- D. x = 59
Correct answer: A
Rationale: To find the value of x, set up the proportion 7/9 = x/63. Cross multiply to get 7*63 = 9*x. This simplifies to 441 = 9x. Divide both sides by 9 to solve for x, giving x = 49. Therefore, the correct answer is A. Choice B (x = 39), Choice C (x = 50), and Choice D (x = 59) are incorrect as they do not match the correct calculation based on the proportion set up.
5. Solve for y if y = 3: 4y + 21/y
- A. 19
- B. 7.7
- C. 23/3
- D. 11
Correct answer: A
Rationale: To solve the expression 4y + 21/y when y = 3, substitute y = 3: 4 * 3 + 21 / 3 = 12 + 7 = 19. Therefore, the correct answer is 19. Choice A, '19,' is the correct result of the expression when y = 3. Choice B, '7.7,' is incorrect as the correct answer is an integer, not a decimal. Choice C, '23/3,' is incorrect as it is not the simplified integer result of the expression. Choice D, '11,' is incorrect as it does not result from the given expression when y = 3.
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