HESI A2
HESI A2 Math
1. What is the greatest common factor (GCF) of 12 and 18?
- A. 2
- B. 3
- C. 6
- D. 9
Correct answer: C
Rationale: The greatest common factor (GCF) of two numbers is the largest number that divides both numbers without leaving a remainder. To find the GCF of 12 and 18, we factorize each number: 12 = 2 x 2 x 3 and 18 = 2 x 3 x 3. The common factors are 2 and 3. The GCF is the product of these common factors, which is 6. Therefore, 6 is the greatest common factor of 12 and 18. Choice A (2) and Choice B (3) are factors of both numbers but not the greatest common factor. Choice D (9) is not a factor of both 12 and 18, making it incorrect.
2. How many ounces are in 8 1/4 pints?
- A. 128 oz
- B. 132 oz
- C. 136 oz
- D. 140 oz
Correct answer: B
Rationale: To convert pints to ounces, multiply by 16 because 1 pint equals 16 ounces. Therefore, 8 1/4 pints is equal to 8.25 x 16 = 132 ounces. Choices A, C, and D are incorrect as they do not reflect the correct conversion from pints to ounces.
3. What is 28% of 100?
- A. 28
- B. 20
- C. 25
- D. 30
Correct answer: A
Rationale: The correct answer is A: 28. To find 28% of 100, you multiply 0.28 (the decimal equivalent of 28%) by 100. This calculation results in 28. Therefore, 28% of 100 is 28. Choice B, 20, is incorrect as it represents 20% of 100. Choice C, 25, is incorrect as it represents 25% of 100. Choice D, 30, is incorrect as it represents 30% of 100.
4. The least common multiple (LCM) of two numbers is the smallest number that is a multiple of both. Which of the following represents the LCM of 14 and 21?
- A. 42
- B. 63
- C. 84
- D. 168
Correct answer: C
Rationale: Rationale: To find the least common multiple (LCM) of 14 and 21, we need to determine the smallest number that is a multiple of both 14 and 21. First, list the multiples of 14: 14, 28, 42, 56, 70, 84, ... Next, list the multiples of 21: 21, 42, 63, 84, ... The smallest number that appears in both lists is 42. Therefore, the LCM of 14 and 21 is 42.
5. How many ounces are in 2.5 gallons?
- A. 240 ounces
- B. 160 ounces
- C. 320 ounces
- D. 240 ounces
Correct answer: C
Rationale: To convert gallons to ounces, we need to know that 1 gallon is equal to 128 ounces. Therefore, 2.5 gallons would be 2.5 x 128 = 320 ounces. This makes choice C, '320 ounces,' the correct answer. Choices A, B, and D are incorrect because they do not correctly calculate the conversion from gallons to ounces.
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