HESI A2
HESI A2 Math Portion
1. Olivia’s Bakery gives out one extra cupcake for each dozen sold, to make a “baker’s dozen†of 13 in all. How many extra cupcakes does the bakery add to a special order of 180 cupcakes?
- A. 12
- B. 13
- C. 14
- D. 15
Correct answer: B
Rationale: Olivia’s Bakery gives out one extra cupcake for each dozen sold. For a special order of 180 cupcakes, there would be 180 cupcakes ÷ 12 cupcakes per dozen = 15 dozens. Therefore, the bakery adds 15 extra cupcakes to make a 'baker's dozen' of 13 in all for each dozen, resulting in a total of 15 extra cupcakes added to the special order. The correct answer is 13 (choice B) because the bakery adds one extra cupcake to each dozen, making a 'baker's dozen' of 13.
2. Olivia currently earns $51,200 in her job. If her salary increases by 4% this year, what will her new salary be?
- A. $52,348
- B. $52,736
- C. $53,040
- D. $53,248
Correct answer: D
Rationale: To find Olivia's new salary after a 4% increase, we calculate 4% of $51,200, which is 0.04 x $51,200 = $2,048. Adding this increase to Olivia's current salary gives us the new salary: $51,200 + $2,048 = $53,248. Therefore, Olivia's salary after the 4% increase will be $53,248. Choices A, B, and C are incorrect as they do not reflect the correct calculation for the new salary after a 4% increase.
3. How many ounces are in 4 quarts?
- A. 64 ounces
- B. 128 ounces
- C. 32 ounces
- D. 16 ounces
Correct answer: B
Rationale: The correct answer is B: 128 ounces. There are 32 ounces in a quart, so when you have 4 quarts, you multiply 4 by 32 to get the total number of ounces, which equals 128. Choices A, C, and D are incorrect because they do not reflect the correct conversion from quarts to ounces.
4. Imaginary unit multiples are used to represent numbers that cannot be obtained on the number line. Which of the following is equivalent to 5i?
- A. -5
- B. i^5
- C. 5√-1
- D. 1/5i
Correct answer: C
Rationale: Rationale: - The imaginary unit, denoted as "i," is defined as the square root of -1. - Therefore, 5i can be expressed as 5 times the square root of -1, which is equivalent to 5√-1. - Option A, -5, is a real number and not an imaginary unit multiple. - Option B, i^5, is equal to i because i raised to any power that is a multiple of 4 results in 1, and i^5 is equivalent to i. - Option D, 1/5i, is the reciprocal of 5i and not equivalent to 5i.
5. What is the sum of 1/3, 1/4, and 1/6?
- A. 5/12
- B. 1/2
- C. 1/3
- D. 1/4
Correct answer: B
Rationale: To find the sum of 1/3, 1/4, and 1/6, we need to first find a common denominator. The least common multiple of 3, 4, and 6 is 12. So, we rewrite the fractions with the common denominator: 1/3 = 4/12, 1/4 = 3/12, and 1/6 = 2/12. Adding these fractions together gives us 4/12 + 3/12 + 2/12 = 9/12, which simplifies to 3/4 or 1/2. Therefore, the correct answer is 1/2. Choice A (5/12) is incorrect because it does not represent the sum of the fractions given. Choices C (1/3) and D (1/4) are also incorrect as they are individual fractions and do not represent the sum of the fractions provided.
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