HESI Math Practice Exam 1

Question 1

Divide and simplify:  ÷   \/

Accepted Answer

2 1\/4

Answer

To divide fractions, you multiply the first fraction by the reciprocal of the second fraction. Assuming the fractions are 9/10 and 2/5, the operation becomes 9/10 * 5/2. Multiply the numerators (9*5=45) and the denominators (10*2=20) to get 45/20. Simplifying this improper fraction gives 9/4, which converts to the mixed number 2 1/4.

Question 2

Convert 0.60 to ratio in simplest form

Accepted Answer

3:5

Answer

To convert the decimal 0.60 to a ratio in simplest form, first write it as a fraction: 60/100. Then, simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 20. This reduces the fraction to 3/5, which can be expressed as the ratio 3:5.

Question 3

A shoe company sends out 7 trucks loaded with nursing shoes that cost the company $1,572 per truck. If they send out 750 boxes per truck, what would be the profit if the cost per box is $ 125.40?

Accepted Answer

647,346.00

Answer

First, calculate the total cost for the company: 7 trucks * $1,572/truck = $11,004. Next, determine the total number of boxes: 7 trucks * 750 boxes/truck = 5,250 boxes. Then, calculate the total revenue from selling the boxes: 5,250 boxes * $125.40/box = $658,350. Finally, subtract the total cost from the total revenue to find the profit: $658,350 - $11,004 = $647,346.

Question 4

Calculate the quotient of   54, 256  \/  45    (Round to the nearest tenth)

Accepted Answer

1,205.7

Answer

To calculate the quotient of 54,256 divided by 45, perform the division: 54,256 ÷ 45 = 1205.6888... To round to the nearest tenth, look at the hundredths digit. Since it is 8 (which is 5 or greater), round up the tenths digit. Therefore, 1205.6888... rounded to the nearest tenth is 1,205.7.

Question 5

Multiply and reduced to lowest terms 5\/13 x 3 3\/8

Accepted Answer

1 31\/104

Answer

To multiply 5/13 by 3 3/8, first convert the mixed number to an improper fraction: 3 3/8 becomes (3*8 + 3)/8 = 27/8. Now multiply the fractions: (5/13) * (27/8) = (5*27) / (13*8) = 135/104. Convert this improper fraction back to a mixed number by dividing 135 by 104, which gives 1 with a remainder of 31, resulting in 1 31/104.

HESI (ATI) Practice Test

HESI (ATI) Practice Test

HESI Math Practice Exam 1