multiply 34 13

HESI A2

HESI A2 Math Practice

1. Multiply: 3/4 × 1/3.

A. 1/4
B. 1/3
C. 3/5
D. 3/8

Correct answer: A

Rationale: To multiply fractions, multiply the numerators together and the denominators together. In this case, 3/4 × 1/3 = (3 × 1) / (4 × 3) = 3/12 = 1/4. Therefore, the correct answer is A: 1/4. Choices B (1/3), C (3/5), and D (3/8) are incorrect because they do not result from the correct multiplication of the given fractions.

2. 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.

3. The recipe states that 4 cups of sugar will make 120 cookies. How many cups of sugar are needed to make 90 cookies?

A. 3 cups
B. 2 cups
C. 1.5 cups
D. 4 cups

Correct answer: A

Rationale: To find out how many cups of sugar are needed for 90 cookies when 4 cups make 120 cookies, set up a proportion: 4/120 = x/90. Cross multiply to get 120x = 4 * 90. Solve for x to find x = 360/120 = 3. Therefore, 3 cups of sugar are needed for 90 cookies. Choice B (2 cups), Choice C (1.5 cups), and Choice D (4 cups) are incorrect because they do not align with the correct proportion calculation. The correct calculation shows that 3 cups of sugar are required for 90 cookies, as the recipe proportionally reduces when making fewer cookies.

4. 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.

5. What is the result of adding 9.43 and 11.3?

A. 20.73
B. 21.3
C. 22
D. 19.5

Correct answer: A

Rationale: The correct answer is A: 20.73. To calculate the sum of 9.43 and 11.3, you simply add the two numbers together. Therefore, 9.43 + 11.3 equals 20.73. Choice B (21.3) is incorrect because it represents the sum of rounding the numbers up. Choice C (22) and choice D (19.5) are also incorrect as they do not accurately reflect the sum of the provided numbers.