HESI A2
HESI A2 Math 2024
1. How many centimeters are there in 1 foot?
- A. 4.72 centimeters
- B. 10 centimeters
- C. 25.4 centimeters
- D. 30.48 centimeters
Correct answer: D
Rationale: To convert feet to centimeters, you need to consider that there are 2.54 centimeters in an inch. Since a foot is equal to 12 inches, you multiply 12 inches by 2.54 to get 30.48 centimeters. Therefore, there are 30.48 centimeters in 1 foot. Choice A (4.72 centimeters) is incorrect as it does not use the correct conversion factor. Choice B (10 centimeters) is incorrect as it is not the accurate conversion for 1 foot. Choice C (25.4 centimeters) is incorrect as it corresponds to 10 inches, not 1 foot.
2. In a class of 25 students, 44% are boys. How many boys are there?
- A. 10 boys
- B. 11 boys
- C. 9 boys
- D. 13 boys
Correct answer: B
Rationale: To find the number of boys in the class, calculate 44% of 25 students. 44% of 25 is calculated as follows: 0.44 x 25 = 11 boys. Therefore, there are 11 boys in the class. Choice A, 10 boys, is incorrect as it miscalculates the percentage. Choice C, 9 boys, is incorrect as it is less than 11. Choice D, 13 boys, is incorrect as it is greater than the correct calculation.
3. Which of these dates is represented by the Roman numeral MDXVI?
- A. 1106
- B. 1116
- C. 1506
- D. 1516
Correct answer: D
Rationale: The Roman numeral MDXVI translates to 1516 in Arabic numerals. The Roman numeral 'M' represents 1000, 'D' represents 500, 'X' represents 10, and 'VI' represents 6, which adds up to 1516. Therefore, the correct answer is 1516. Choices A, B, and C are incorrect as they do not match the Roman numeral MDXVI.
4. Find the value of x if x:15=120:225.
- A. x=8
- B. x=10
- C. x=6
- D. x=12
Correct answer: A
Rationale: To solve x:15=120:225, set it up as a proportion: x/15 = 120/225. Simplify the right-hand side: 120/225 = 8/15. Now, solve for x by cross-multiplying: x = 8. Therefore, the correct answer is A. Choices B, C, and D are incorrect as they do not align with the correct calculations.
5. 25 1/7 - 12 5/7 = ?
- A. 12 3/7
- B. 14 1/7
- C. 13 5/6
- D. 13
Correct answer: A
Rationale: To subtract mixed numbers, subtract the whole numbers and fractions separately. If necessary, borrow from the whole number when the fraction in the minuend is smaller than the fraction in the subtrahend. The whole numbers are: 25 - 12 = 13. The fractions: 1/7 - 5/7. Since 1/7 is smaller, borrow 1 from 13, making it 12. Then convert 1 whole into 7/7, so the fraction becomes: (7/7 + 1/7) - 5/7 = 8/7 - 5/7 = 3/7. Thus, 25 1/7 - 12 5/7 = 12 3/7.
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