HESI Math Practice Exam 1 — Questions and Answers

Question 1: Divide and simplify: ÷ \/

2 2\/8
16
2 1\/4 (Correct answer)
12 2\/3

Correct answer: 2 1\/4

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

2:50
2:6
1:6
3:5 (Correct answer)

Correct answer: 3:5

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?

79,490.40
614,400.00
45,357.60
647,346.00 (Correct answer)

Correct answer: 647,346.00

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)

1,205.7 (Correct answer)
1,200
5,122.5
1,235

Correct answer: 1,205.7

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

45\/104
104\/45
1 31\/104 (Correct answer)
5\/9

Correct answer: 1 31\/104

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.

Question 6: Add: 5 2\/3 + 4\/7

21\/131
6 5\/21 (Correct answer)
1 2\/5
5 26\/21

Correct answer: 6 5\/21

To add 5 2/3 and 4/7, first find a common denominator for the fractions, which is 21. Convert 2/3 to 14/21 and 4/7 to 12/21. Add the fractions: 14/21 + 12/21 = 26/21. Convert 26/21 to a mixed number, which is 1 5/21. Finally, add this to the whole number part of the original mixed number: 5 + 1 5/21 = 6 5/21.

Question 7: The average speed of a high velocity train is 200 kilometers per hour. The distance between Paris and Naples is 7,346 km (1 mile = 1.609 km). How long will the trip take? (Round to the nearest whole number).

38 hours
36.73 hours
37 hours (Correct answer)
3.8 hours

Correct answer: 37 hours

To find the time the trip will take, use the formula Time = Distance / Speed. The distance is 7,346 km and the speed is 200 km/h. Divide 7,346 by 200, which equals 36.73 hours. Rounding 36.73 to the nearest whole number gives 37 hours. The information about miles to kilometers is extraneous for this calculation.

Question 8: How many grams in 450 milligrams?

45 grams
0.45 grams (Correct answer)
4.5 grams
450 grams

Correct answer: 0.45 grams

To convert milligrams to grams, you need to know that 1 gram is equal to 1000 milligrams. Therefore, to convert 450 milligrams to grams, you divide 450 by 1000. This calculation yields 0.45 grams.

Question 9: 23\/15 divided by 16\/17 =

391\/240
3 3\/4
1 151\/240 (Correct answer)
1

Correct answer: 1 151\/240

To divide fractions, multiply the first fraction by the reciprocal of the second fraction. So, 23/15 ÷ 16/17 becomes 23/15 * 17/16. Multiply the numerators (23 * 17 = 391) and the denominators (15 * 16 = 240) to get 391/240. Finally, convert this improper fraction to a mixed number: 391 divided by 240 is 1 with a remainder of 151, resulting in 1 151/240.

Question 10: Convert 25.52 to a reduced fraction

25\/52
638\/52
2552\/100
25 13\/25 (Correct answer)

Correct answer: 25 13\/25

To convert 25.52 to a reduced fraction, separate the whole number (25) from the decimal part (0.52). Write 0.52 as a fraction: 52/100. Then, reduce this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 4. This simplifies to 13/25. Combine the whole number and the reduced fraction to get 25 13/25.

Question 11: Convert 3\/5 to a decimal.

0.06
1.6
0.6 (Correct answer)
3.50

Correct answer: 0.6

To convert a fraction to a decimal, divide the numerator by the denominator. For 3/5, divide 3 by 5. Performing this division, 3 ÷ 5 equals 0.6.

Question 12: Add 6 1\/4 + 8 1\/3 =

14 2\/7
19\/4
175\/12
14 7\/12 (Correct answer)

Correct answer: 14 7\/12

To add the mixed numbers 6 1/4 and 8 1/3, first add the whole numbers: 6 + 8 = 14. Next, add the fractions: 1/4 + 1/3. Find a common denominator for 4 and 3, which is 12, converting them to 3/12 and 4/12 respectively. Adding these gives 7/12. Combine the whole number sum and the fraction sum to get 14 7/12.

Question 13: A recent online survey published that a hospital needs 9 nurses for every 45 patients. How many nurses a hospital would need in order to take care of 255 patients?

51 nurses (Correct answer)
55 nurses
255 nurses
49 nurses

Correct answer: 51 nurses

The hospital needs 9 nurses for every 45 patients, which simplifies to a ratio of 1 nurse for every 5 patients (9/45 = 1/5). To find out how many nurses are needed for 255 patients, set up a proportion: 1 nurse / 5 patients = x nurses / 255 patients. Solve for x by multiplying 255 by (1/5), which gives 51 nurses.

Question 14: Convert 5\/8 to a decimal

0.0625
6.25
0.625 (Correct answer)
1.6

Correct answer: 0.625

To convert the fraction 5/8 to a decimal, divide the numerator (5) by the denominator (8). Performing this division, 5 ÷ 8 equals 0.625.

Question 15: Convert 0.65 to a fraction in lowest term

1\/65
20\/13
13\/20 (Correct answer)
65\/100

Correct answer: 13\/20

To convert the decimal 0.65 to a fraction in lowest terms, first write it as a fraction over 100: 65/100. Then, simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 5. This reduces the fraction to 13/20.

Question 16: A book store contains 75,972 books, divided in three sections: Science, Business, and Math. The science section represents 1\/3 of the total books. Of the remaining books, 75% are business. How many books are in the math section?

50,648
37986
12,662 (Correct answer)
25324

Correct answer: 12,662

First, calculate the number of science books: (1/3) * 75,972 = 25,324 books. Subtract these from the total to find the remaining books: 75,972 - 25,324 = 50,648 books. Next, calculate the number of business books: 75% of 50,648 = 0.75 * 50,648 = 37,986 books. Finally, subtract the business books from the remaining books to find the math books: 50,648 - 37,986 = 12,662 books.

Question 17: During final exams 172 students visited the math lab in total. If 4 out of 11 were male what is the percentage of female students who visited the math lab? (Round to the nearest tenth). a. 63.6%\t

63.6% (Correct answer)
63.64%
62.5%
63%

Correct answer: 63.6%

If 4 out of 11 students were male, then the remaining students are female. This means 11 - 4 = 7 out of 11 students were female. To find the percentage of female students, divide the number of female students by the total number of students in the ratio (7/11) and multiply by 100%. This calculation yields approximately 63.636%, which rounds to 63.6% to the nearest tenth.

Question 18: 0.2 divided by 1.1?

1.818
0.1818 (Correct answer)
181.8
18.18

Correct answer: 0.1818

To divide 0.2 by 1.1, perform the division operation. 0.2 ÷ 1.1 results in a repeating decimal, approximately 0.181818... When rounded to four decimal places, the result is 0.1818.

Question 19: What is 5 percent of 50?

25
2.5 (Correct answer)
0.25
250

Correct answer: 2.5

To find a percentage of a number, first convert the percentage to a decimal by dividing by 100. So, 5% becomes 0.05. Then, multiply this decimal by the given number: 0.05 × 50. This calculation yields 2.5, which is 5 percent of 50.

Question 20: Solve for x: 44:68::x: 236 (Round to the nearest tenth).

x= 155.53
x=152.7 (Correct answer)
x= 88.65
x= 135

Correct answer: x=152.7

The problem presents a proportion: 44:68::x:236, which can be written as 44/68 = x/236. To solve for x, cross-multiply, giving 44 * 236 = 68 * x. This simplifies to 10384 = 68x. Dividing 10384 by 68 gives x ≈ 152.70588. Rounding to the nearest tenth, x is 152.7.

Question 21: Miguel wants to get cheaper gas, so he drives out of his way to buy gas at $2.50 instead of $2.75 at his local station. If he needs 15.5 gallons to fill his SUV, how much did he save by going to the less expensive station? (Round to the nearest hundredth).

$3.875
$3.87
$3.88 (Correct answer)
$3.00

Correct answer: $3.88

First, calculate the savings per gallon by subtracting the cheaper price from the regular price: $2.75 - $2.50 = $0.25. Next, multiply this per-gallon saving by the total number of gallons Miguel needs: $0.25 × 15.5 gallons = $3.875. Finally, round the total savings to the nearest hundredth, which results in $3.88.

Question 22: Ben walks 25 miles from home to work. If he walks the first 5 miles in 1 hour, the second 5 miles in 1.4 hours, the third 5 miles in 1.7 hours and the last 5 miles in 1.8 hours, how long will it take him to complete the 25 mile walking distance? (Enter numeric value only. If rounding is required, round to the nearest tenth).

5.9 hours (Correct answer)
6 hours
5 hours
10 hours

Correct answer: 5.9 hours

To find the total time Ben will take, sum the time spent on each segment of his walk. Add the times for the first, second, third, and last 5-mile segments: 1 hour + 1.4 hours + 1.7 hours + 1.8 hours. The sum is 5.9 hours. Since the problem asks to round to the nearest tenth if required, 5.9 hours is already in the correct format.

Question 23: Convert 250 milliliters to litters

2.5 L
25L
0.25L (Correct answer)
250000L

Correct answer: 0.25L

To convert milliliters (mL) to liters (L), you must divide the milliliter value by 1000, as there are 1000 milliliters in 1 liter. Therefore, 250 mL divided by 1000 equals 0.25 L.

Question 24: Convert the metric equivalent: 500 mg equals x grams. (Enter the numerical value only).

0.5 grams (Correct answer)
55 grams
5.0 grams
25 grams

Correct answer: 0.5 grams

To convert milligrams (mg) to grams (g), divide the milligram value by 1000, because 1 gram is equivalent to 1000 milligrams. Thus, 500 mg divided by 1000 results in 0.5 grams.

Question 25: How many liters are in 300 milliliters?

30 liters
0.3 liters (Correct answer)
3 liters
0.03 liters

Correct answer: 0.3 liters

The conversion factor between milliliters and liters is 1000, meaning 1 liter equals 1000 milliliters. To convert 300 milliliters to liters, divide 300 by 1000. This calculation yields 0.3 liters.

HESI Math Practice Exam 1

Divide and simplify: ÷ \/