HESI A2
HESI A2 Quizlet Math
1. 81:X::9:27. Find X.
- A. 3
- B. 27
- C. 21
- D. 9
Correct answer: B
Rationale: To find X in the given proportion 81:X::9:27, you can set up the equation 81/X = 9/27. Cross-multiplying gives 81 * 27 = 9 * X, which simplifies to 2187 = 9X. Dividing both sides by 9 results in X = 27. Therefore, the correct answer is B. Choice A (3) is incorrect as it does not satisfy the proportion. Choice C (21) is incorrect as it is not the correct value to make the proportion valid. Choice D (9) is incorrect as it does not align with the proportion provided.
2. Change the following percentage to a decimal: 76.3%
- A. 0.0763
- B. 7
- C. 0.763
- D. 7.63
Correct answer: C
Rationale: To convert a percentage to a decimal, divide by 100. In this case, to convert 76.3% to a decimal, you move the decimal point two places to the left, resulting in 0.763. Therefore, the correct answer is C. Choice A (0.0763) is incorrect as it represents 7.63% as a decimal. Choice B (7) and Choice D (7.63) are not correct conversions of the given percentage to a decimal.
3. Square: A garden bed has a side length of 8 meters. What is its perimeter?
- A. 16m
- B. 24m
- C. 32m
- D. 64m
Correct answer: C
Rationale: The perimeter of a square is found by adding up all four sides. Since all sides of a square are equal in length, the perimeter is calculated by multiplying the side length by 4. In this case, the side length of the square garden bed is 8 meters. Therefore, the perimeter is 8m x 4 = 32m. Choice A (16m) is incorrect as it represents only half of the perimeter. Choice B (24m) is incorrect because it is the perimeter of a square with a side length of 6 meters, not 8 meters. Choice D (64m) is incorrect as it represents the area of the square, not the perimeter.
4. What is three tenths of 90?
- A. 18
- B. 45
- C. 27
- D. 36
Correct answer: C
Rationale: To find three tenths of 90, you need to multiply 90 by 0.3 (since three tenths equals 0.3). Therefore, 90 * 0.3 = 27. This calculation shows that the correct answer is 27. Choice A (18), choice B (45), and choice D (36) are incorrect as they do not represent three tenths of 90.
5. A marathon runner completes 21.4 miles and burns 2276 calories. What is her rate of calories burned per mile?
- A. 106.3
- B. 106.4
- C. 106.355
- D. 106.36
Correct answer: B
Rationale: To find the rate of calories burned per mile, divide the total calories burned by the total miles run. In this case, 2276 calories ÷ 21.4 miles = 106.4 calories per mile. Therefore, the correct answer is B. Choice A (106.3) is incorrect because it is slightly lower than the calculated value. Choice C (106.355) is incorrect as it is a more precise value than the calculation result. Choice D (106.36) is also incorrect as it is a more precise value than the calculated answer.
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