HESI Math Practice Exam 2 — Questions and Answers

Question 1: Ratio and proportion: 0.5:20:: x:200

x = 25
x= 5 (Correct answer)
x= 50
x= 4

Correct answer: x= 5

To solve a ratio and proportion problem like 0.5:20::x:200, you can set it up as a fraction: 0.5/20 = x/200. Cross-multiply to solve for x: 0.5 * 200 = 20 * x. This simplifies to 100 = 20x, and dividing both sides by 20 yields x = 5.

Question 2: Change 66\/4 to a decimal

1.65
32\/2
0.165
16.5 (Correct answer)

Correct answer: 16.5

To convert a fraction to a decimal, you simply divide the numerator by the denominator. For the fraction 66/4, divide 66 by 4. Performing this division results in 16.5.

Question 3: Which is the largest decimal?

0.0688
0.667
0.68 (Correct answer)
0.6

Correct answer: 0.68

To determine the largest decimal, compare the numbers digit by digit from left to right, starting after the decimal point. It's helpful to add trailing zeros so all numbers have the same number of decimal places for an easier comparison. Comparing 0.0688, 0.6670, 0.6800, and 0.6000, 0.68 has the largest value in the hundredths place (8), making it the largest decimal among the options.

Question 4: Convert the metric equivalent: 8,500 grams equals x kg. (Enter numerical value only).

8.5 kilograms (Correct answer)
8 kilograms
0.8 kilograms
85 kilograms

Correct answer: 8.5 kilograms

To convert grams to kilograms, you need to know that 1 kilogram (kg) is equal to 1,000 grams (g). Therefore, to convert 8,500 grams to kilograms, you divide 8,500 by 1,000. This calculation results in 8.5 kilograms.

Question 5: Convert the fraction into decimals 7\/4=175% (Enter numerical value only).

1.75 (Correct answer)
.175
175
17.5

Correct answer: 1.75

To convert a fraction to a decimal, divide the numerator by the denominator. For the fraction 7/4, divide 7 by 4. The result of this division is 1.75. (The 175% is the decimal multiplied by 100, indicating the percentage equivalent).

Question 6: \tHow many milliliters are contained in 3 table spoons of fluid? (Enter numerical value only).

45 milliliters (Correct answer)
4.5 milliliters
450 milliliters
405 milliliters

Correct answer: 45 milliliters

To convert tablespoons to milliliters, you use the standard conversion factor where 1 tablespoon (tbsp) is equal to 15 milliliters (ml). Therefore, to find the milliliters in 3 tablespoons, you multiply 3 by 15. This calculation yields 45 milliliters.

Question 7: Solve for x:\t5:50:: x:500

4
50 (Correct answer)
5
5.5

Correct answer: 50

To solve a ratio and proportion problem like 5:50::x:500, you can set it up as a fraction: 5/50 = x/500. Cross-multiply to solve for x: 5 * 500 = 50 * x. This simplifies to 2500 = 50x, and dividing both sides by 50 yields x = 50.

Question 8: \tConvert 2\/3 to a decimal

0.2222(repeating)
0.3333 (repeating)
0.6666 (repeating) (Correct answer)
1.5

Correct answer: 0.6666 (repeating)

To convert a fraction to a decimal, divide the numerator by the denominator. For the fraction 2/3, divide 2 by 3. This division results in a repeating decimal, 0.6666..., where the 6 continues infinitely.

Question 9: Subtract 2\/ − 6\/ (Enter numerical value only).

2 17\/21 (Correct answer)
2 8\/10
7 8\/10
7 5\/13

Correct answer: 2 17\/21

The question 'Subtract 2/ - 6/' is incomplete, but assuming it refers to a subtraction of mixed numbers that results in 2 17/21, the general process involves finding a common denominator for the fractions, converting mixed numbers to improper fractions if necessary for borrowing, and then subtracting the numerators and whole numbers. For example, if the problem was 6 1/7 - 3 1/3, you would convert to 6 3/21 - 3 7/21, then borrow to get 5 24/21 - 3 7/21, resulting in 2 17/21.

Question 10: How many pints are in 80 ounces?

16 pints
1,280 pints
15 pints
5 pints (Correct answer)

Correct answer: 5 pints

To convert ounces to pints, you need to know that 1 pint (pt) is equal to 16 ounces (oz). Therefore, to find how many pints are in 80 ounces, you divide the total ounces by the number of ounces per pint. This calculation is 80 ÷ 16, which equals 5 pints.

Question 11: There are 200 ounces in 6 liters. How many milliliters (ml) are in 6 liters? (Enter numerical value only).

6,000 milliliters (Correct answer)
60,000 milliliters
6 milliliters
6,100 milliliters

Correct answer: 6,000 milliliters

To convert liters to milliliters, you use the standard conversion factor where 1 liter (L) is equal to 1,000 milliliters (ml). Therefore, to find the milliliters in 6 liters, you multiply 6 by 1,000. This calculation yields 6,000 milliliters.

Question 12: How many gallons are in 576 ounces?

4.5 gallons (Correct answer)
288 gallons
4 gallons
5 gallons

Correct answer: 4.5 gallons

To convert ounces to gallons, you need to know that 1 gallon is equal to 128 ounces (since 1 gallon = 4 quarts, 1 quart = 2 pints, and 1 pint = 16 ounces, so 4 * 2 * 16 = 128 ounces). To find how many gallons are in 576 ounces, divide 576 by 128. This calculation results in 4.5 gallons.

Question 13: How many ounces are in 8 1\/4 pints?

136 oz
132 oz (Correct answer)
2.25 oz
128 oz

Correct answer: 132 oz

To convert pints to ounces, you use the standard conversion factor where 1 pint (pt) is equal to 16 ounces (oz). First, convert the mixed number 8 1/4 pints to a decimal or improper fraction (8.25 pints). Then, multiply 8.25 by 16 to find the total number of ounces. This calculation yields 132 ounces.

Question 14: Multiply 1.25 x 2.0

250.0
2.50 (Correct answer)
0.250
25.0

Correct answer: 2.50

To multiply decimals, perform the multiplication as you would with whole numbers, ignoring the decimal points initially. Then, count the total number of decimal places in the numbers being multiplied and place the decimal point in the product so it has that same total number of decimal places. For 1.25 x 2.0, multiply 125 by 2 to get 250. Since 1.25 has two decimal places and 2.0 has one, the product needs three decimal places, resulting in 2.500, which simplifies to 2.50.

Question 15: Add 4\/5 + 3\/15 (reduced to lowest terms)

1 (Correct answer)
7\/15
12\/15
1\/15

Correct answer: 1

To add fractions, they must have a common denominator. For 4/5 + 3/15, the least common denominator is 15. Convert 4/5 to an equivalent fraction with a denominator of 15 by multiplying both the numerator and denominator by 3, which gives 12/15. Now add the fractions: 12/15 + 3/15 = 15/15. Finally, reduce the fraction to its lowest terms, which is 1.

Question 16: How far does a runner run (in kilometers) in a 1,000 meter race?

1 km (Correct answer)
1\/2 km
3 km
0.10 km

Correct answer: 1 km

To convert meters to kilometers, you need to know that 1 kilometer (km) is equal to 1,000 meters (m). Therefore, to find how many kilometers are in a 1,000-meter race, you divide 1,000 by 1,000. This calculation results in 1 kilometer.

Question 17: Henry was able to help 4 out of 9 of students that requested help in the math lab and Michelle helped 45% of the total students who asked for help. Who helped more students, Henry or Michelle?

The amount cannot be calculated.
Henry
Michelle (Correct answer)
They both helped the same number of students.

Correct answer: Michelle

To compare who helped more students, convert Henry's fraction to a percentage. Henry helped 4 out of 9 students, which is 4 ÷ 9 ≈ 0.4444, or approximately 44.4%. Michelle helped 45% of the students. Comparing 44.4% to 45%, Michelle helped a slightly higher percentage of students.

Question 18: 27 students attended a HESI session in the Math Lab if 8 out of 11 were females, how many were male? (Round to a whole number)

7 males (Correct answer)
3 males
15
17

Correct answer: 7 males

First, determine the proportion of male students. If 8 out of 11 students were females, then 11 - 8 = 3 out of 11 students were males. To find the number of male students, multiply this proportion by the total number of students: (3/11) * 27. This calculation yields 81/11, which is approximately 7.36. Rounding to the nearest whole number, there were 7 male students.

Question 19: 3 gallons is equal to how many ounces?

384 ounces (Correct answer)
250 ounces
300 ounces
3000 ounces

Correct answer: 384 ounces

To convert gallons to ounces, you need to know that 1 gallon is equal to 128 ounces (since 1 gallon = 4 quarts, 1 quart = 2 pints, and 1 pint = 16 ounces, so 4 * 2 * 16 = 128 ounces). Therefore, to find how many ounces are in 3 gallons, you multiply 3 by 128. This calculation results in 384 ounces.

Question 20: 45.\t5 1\/2 divide by 2 1\/2

21
2.0
2 1\/5 (Correct answer)
2 3\/4

Correct answer: 2 1\/5

To divide mixed numbers, first convert them into improper fractions. 5 1/2 becomes 11/2, and 2 1/2 becomes 5/2. Then, multiply the first fraction by the reciprocal of the second fraction: (11/2) * (2/5). The 2s cancel out, leaving 11/5. Finally, convert the improper fraction back to a mixed number: 11 divided by 5 is 2 with a remainder of 1, so the answer is 2 1/5.

Question 21: How many teaspoons are there in 5 tablespoons?

1.67 Tsps.
0.6 Tsps
\t15 Tsps. (Correct answer)
1.5 Tsps

Correct answer: \t15 Tsps.

To convert tablespoons to teaspoons, you use the standard conversion factor where 1 tablespoon (tbsp) is equal to 3 teaspoons (tsp). Therefore, to find the number of teaspoons in 5 tablespoons, you multiply 5 by 3. This calculation yields 15 teaspoons.

Question 22: Evaluate the expression: 4x - 5y x = -3 and y=2

22
-2
2
-22 (Correct answer)

Correct answer: -22

To evaluate an algebraic expression, substitute the given values for the variables into the expression and then perform the arithmetic operations according to the order of operations. For 4x - 5y with x = -3 and y = 2, substitute these values: 4(-3) - 5(2). This simplifies to -12 - 10, which equals -22.

Question 23: Solve the equation for m: 2m + 1 = -3m - 1

2\/5
-5\/2
-2\/5 (Correct answer)
0

Correct answer: -2\/5

To solve the equation 2m + 1 = -3m - 1 for m, first gather all terms with 'm' on one side and constant terms on the other. Add 3m to both sides to get 5m + 1 = -1. Next, subtract 1 from both sides, resulting in 5m = -2. Finally, divide both sides by 5 to isolate m, which gives m = -2/5.

Question 24: Dr. Henry has his nursing staff line up at 4:30PM for the annual meeting. What would that be in military time?

0430
4030
1630 (Correct answer)
2030

Correct answer: 1630

To convert regular time to military time for any hour in the afternoon (P.M.), you add 12 to the hour. For 4:30 P.M., add 12 to 4, which equals 16. The minutes remain the same. Therefore, 4:30 P.M. in military time is 1630.

Question 25: 330 is 165% of what number

150
200 (Correct answer)
20
545

Correct answer: 200

To find the number when 330 is 165% of it, set up the equation: 330 = 165% * x. Convert the percentage to a decimal by dividing by 100, so 165% becomes 1.65. The equation is now 330 = 1.65 * x. Divide 330 by 1.65 to solve for x, which yields x = 200.

Question 26: Write 1,763 as a Roman numeral

MDCCLII
\tMCDXXXVI
MDCCLXIII (Correct answer)
MDCCLXII

Correct answer: MDCCLXIII

To write 1,763 as a Roman numeral, break down the number by place value. M represents 1000, DCC represents 700 (500 + 100 + 100), LX represents 60 (50 + 10), and III represents 3 (1 + 1 + 1). Combining these, 1,763 becomes MDCCLXIII.

Question 27: What is the regular time for the given military time: 0507?

5:07 A.M (Correct answer)
5:07 P.M
7:05 A.M
7:07 P.M

Correct answer: 5:07 A.M

In military time, the first two digits represent the hour and the last two represent the minutes. Since 0507 has an hour value (05) less than 12, it indicates A.M. The 05 corresponds to 5 A.M., and 07 corresponds to 7 minutes. Therefore, 0507 military time is 5:07 A.M.

Question 28: Subtract: 3 1 \/ 2 - 2 2\/3

6\/5
1 1\/5
5\/6 (Correct answer)
5\/16

Correct answer: 5\/6

To subtract mixed numbers, first convert them into improper fractions. 3 1/2 becomes 7/2 and 2 2/3 becomes 8/3. Find a common denominator, which is 6, so 7/2 becomes 21/6 and 8/3 becomes 16/6. Subtracting these gives 21/6 - 16/6 = 5/6.

Question 29: What is the correct answer for MDCXLIV?

1544
1654
1554
1644 (Correct answer)

Correct answer: 1644

To convert the Roman numeral MDCXLIV to a number, break it down by value. M is 1000, D is 500, C is 100. XL is 40 (50-10, as X comes before L), and IV is 4 (5-1, as I comes before V). Adding these values together: 1000 + 500 + 100 + 40 + 4 equals 1644.

Question 30: What % of 200 is 34?

34%
68%
17% (Correct answer)
20%

Correct answer: 17%

To find what percentage of 200 is 34, set up the equation: (Part / Whole) * 100% = Percentage. Here, the part is 34 and the whole is 200. So, (34 / 200) * 100%. Dividing 34 by 200 gives 0.17, and multiplying by 100% yields 17%.

HESI Math Practice Exam 2

Ratio and proportion: 0.5:20:: x:200