Free HESI A2 Math practice for HESI A2 Math Version 1 (HESI A2). Answer 51 nursing exam-style questions with rationales, exam mode, and progress tracking on Nu
Ratio and Proportion: 0.5:20 :: X:200
Select the best answer.
Explanation:
To solve this proportion problem, you need to set up the ratio 0.5/20 equal to X/200. Cross-multiply to solve for X, which gives you 0.5 — 200 = 20X. Simplifying this, you get 100 = 20X, and then by dividing both sides by 20, you find that X = 5. Therefore, the correct answer is A, X = 50.
An adult female states she weighs 55. What measurement is she describing?
Select the best answer.
Explanation:
When an adult states their weight as a whole number without a specified unit, it is commonly understood to be in kilograms. In this case, the adult female stating she weighs 55 is most likely referring to 55 kilograms. Therefore, the correct answer is C) Kilograms.
How many ounces (oz) are in 3/4 pint?
Select the best answer.
Explanation:
To convert 3/4 pint to ounces, you need to know that 1 pint is equal to 16 ounces. To find out how many ounces are in 3/4 pint, you multiply 3/4 by 16. This calculation gives us 12 ounces. Therefore, there are 12 ounces in 3/4 pint. Remember, when converting between different units of measurement, it is crucial to understand the relationship between the two units to perform accurate conversions.
Multiply: 2/3 x 3/5 =
Select the best answer.
Explanation:
To multiply fractions, multiply the numerators and the denominators: (2 x 3) / (3 x 5) = 6/15. Simplifying gives 2/5. Thus, the correct answer is C) 2/5.
What is the result of adding 4/3 + 7/3?
Select the best answer.
Explanation:
To add the fractions 4/3 and 7/3, combine the numerators: (4 + 7)/3 = 11/3. The sum 11/3 can be expressed as the mixed number 3 2/3. Therefore, the correct answer is A) 3 2/3.
Ratio and Proportion: 3:5 :: X:10
Select the best answer.
Explanation:
To solve the proportion, set up (3/5) = (X/10). Cross-multiply to get 3 — 10 = 5X, leading to X = 6. This means that the correct choice is B, as X is equal to 6 to maintain the same ratio as 3:5 in the original proportion.
Ratio and Proportion: 4:10 :: 5:X
Select the best answer.
Explanation:
To solve for X in the given ratio and proportion, set up the proportion: (4/10) = (5/X). Cross-multiply to get 4X = 50, leading to X = 12.5. So, the correct answer is X = 12.5, making choice C the correct option.
How do you change 12.5% to a decimal?
Select the best answer.
Explanation:
To convert a percentage to a decimal, divide by 100. In this case, to change 12.5% to a decimal, you divide 12.5 by 100, which equals 0.125. Therefore, the correct answer is B) 0.125.
In a class of 25 students, 44% are boys. How many boys are there?
Select the best answer.
Explanation:
To find the number of boys in the class, we first calculate 44% of 25 students. 44% of 25 is 0.44 x 25 = 11 boys. Therefore, there are 11 boys in the class.
Convert 3/5 to a decimal.
Select the best answer.
Explanation:
To convert a fraction to a decimal, you divide the numerator by the denominator. In this case, 3 · 5 = 0.6. Therefore, the correct answer is B) 0.6.
A school district has a student population of 6,734 students. If the maximum class size is 25 students, how many teachers must the district hire to supplement their current staff of 217 teachers?
Select the best answer.
Explanation:
To calculate the number of additional teachers needed, first determine the total number of classes by dividing the total student population by the maximum class size: 6734 students · 25 students = 269.36, rounded up to 270 classes. Then subtract the current number of teachers from the total classes to find the additional teachers required: 270 classes - 217 current teachers = 53 additional teachers needed.
Ratio and Proportion: 100:2 :: 60:X. Find X.
Select the best answer.
Explanation:
To find the value of X when the ratio 100:2 is equivalent to 60:X, set up the proportion: 100/2 = 60/X. Cross-multiply to get 100X = 120. Divide by 100 to isolate X, so X = 120/100 = 1.2. Therefore, X equals 1.2, and the correct answer is A. In this scenario, the correct answer is calculated through cross-multiplication of the given ratio and solving for the unknown value. This method is commonly used to solve ratio and proportion problems. It is essential to understand the concept of ratios and proportions to solve mathematical problems efficiently.
Sally eats 3/5 of her lunch. John eats 75%. Who ate more?
Select the best answer.
Explanation:
To compare the amount each person ate, we need to convert the fractions to percentages. Sally ate 3/5, which is equivalent to 60%. John ate 75%. By comparing 60% to 75%, we find that John ate more. Therefore, the correct answer is John, as he consumed a higher percentage of his lunch than Sally did.
A library contains 67,982 books. The children's section represents 1/3 of the total books. Of the remaining books, 75% are fiction. How many books are in the non-fiction section?
Select the best answer.
Explanation:
To find the number of books in the non-fiction section, start by calculating the number of books in the children's section: 67,982 * 1/3 = 22,661 books. Subtract the children's books from the total to determine the remaining books: 67,982 - 22,661 = 45,321 books. As 75% of the remaining books are fiction, calculate 75% of 45,321 = 33,990 (fiction books). To find the number of non-fiction books, subtract the fiction books from the remaining books: 45,321 - 33,990 = 11,331. Therefore, there are 11,331 non-fiction books in the library.
In the ratio 0.5 : 20 :: X : 200, what is X?
Select the best answer.
Explanation:
To find X, set up the proportion: (0.5/20) = (X/200). Cross multiply: 0.5 * 200 = 20 * X. Solve for X: 100 = 20X, so X = 100/20 = 5. Therefore, X is equal to 5 in the given ratio. The correct answer is B, as X equals 5 when the ratio is 0.5 : 20 :: X : 200.
A farmer has 240 acres under cultivation at $188.99 per acre. If he averages 60 bushels/acre, what is the expected profit if the price per bushel is $5.67?
Select the best answer.
Explanation:
To calculate the expected profit, first find the total cost: 240 acres * $188.99 = $45,357.60. Then, determine the total revenue: 240 acres * 60 bushels/acre * $5.67/bushel = $81,648. Subtract the total cost from the total revenue to find the profit: $81,648 - $45,357.60 = $36,290.40. Therefore, the expected profit is $36,290.40.
If a label states that 1 mil contains 500 mg, how many mils are there if there are 1.5 grams?
Select the best answer.
Explanation:
To convert grams to mils using the given conversion rate of 1 mil = 500 mg, you need to first convert grams to milligrams. Since 1 gram = 1000 milligrams, 1.5 grams would be 1500 milligrams. To find out how many mils this corresponds to, you divide the total milligrams by the milligrams per mil: 1500 mg · 500 mg/mil = 3 mils. Therefore, the correct answer is 3.
Add: 1/4 + 3/8 =
Select the best answer.
Explanation:
To add the fractions, first convert 1/4 to a common denominator with 3/8. The common denominator is 8: (1/4) = 2/8. Then, add: 2/8 + 3/8 = 5/8. Therefore, the correct answer is A) 5/8.
Which fraction represents the largest value?
Select the best answer.
Explanation:
To determine the largest fraction when the numerators are the same, compare the denominators. A smaller denominator indicates a larger fraction as it represents more significant parts of a whole. In this case, the fractions all have a common numerator of 3. Comparing the denominators, 6 is the smallest, making 3/6 the largest fraction. Therefore, 3/6 represents the largest value among the options. Remember, when fractions have the same numerator, the fraction with the smaller denominator is larger as it represents a larger portion of the whole.
Express 0.9% as a decimal.
Select the best answer.
Explanation:
To convert a percentage to a decimal, divide by 100. In this case, 0.9% = 0.9 · 100 = 0.009. Therefore, the correct answer is A) 0.009, which represents 0.9% in decimal form.
A shopper bought the following items: Shirt $14.95, Pants $22.87, Tie $33.35. How much tax will they have to pay if the tax rate is 7.25%?
Select the best answer.
Explanation:
To find the total cost of the items, add the prices: $14.95 + $22.87 + $33.35 = $71.17. Next, calculate the tax amount by multiplying the total cost by the tax rate: $71.17 — 0.0725 = $5.16. Therefore, the shopper will have to pay $5.16 in tax. The correct answer is A) $5.16.
In the ratio 0.6 : X :: 7 : 42, what is X?
Select the best answer.
Explanation:
To find the value of X in the given ratio, set up the proportion: (0.6/X) = (7/42). Simplifying this, we get (0.6/X) = (1/6). Cross multiplying gives 0.6 * 6 = X, which results in X = 3.6. Therefore, the correct answer is 3.6, representing the value of X in the given ratio.
To ride a certain amusement park attraction, a person must be 48 inches tall. How many feet tall must a person be to meet this requirement? (Enter a numeric value only.)
Select the best answer.
Explanation:
To convert inches to feet, you need to divide by 12 because there are 12 inches in a foot. Therefore, 48 inches · 12 = 4 feet. Hence, the correct answer is A) 4 feet.
Ratio and Proportion: 3: X = 5: 800. What is X? (Enter numeric value only.)
Select the best answer.
Explanation:
To find the value of X in the given ratio, set up the proportion: (3/X) = (5/800). Cross-multiply to solve for X: 3 — 800 = 5X. This simplifies to 2400 = 5X. Dividing both sides by 5 gives X = 2400/5 = 480. Therefore, the correct answer is A) 43.64.
A production statistic shows that it takes 2 chickens to produce 6 eggs in 24 hours. How many chickens are needed to produce 24 eggs in 24 hours?
Select the best answer.
Explanation:
If 2 chickens produce 6 eggs in 24 hours, it means each chicken produces 3 eggs in 24 hours. To produce 24 eggs, you would need to calculate 24 eggs · 3 eggs per chicken = 8 chickens. Therefore, 8 chickens are needed to produce 24 eggs in 24 hours. This calculation is based on the proportionality of the number of chickens to the number of eggs produced, ensuring the correct quantity of chickens is determined for the desired egg output.
What is the result of adding 2/3 and 4/9?
Select the best answer.
Explanation:
To add 2/3 and 4/9, you need to find a common denominator. In this case, the common denominator is 9. Convert 2/3 to 6/9. Now, the addition becomes 6/9 + 4/9 = 10/9. Simplifying 10/9 gives you 1 (1/9). Therefore, the correct answer is 1 (1/9). When adding fractions, having a common denominator is essential for accurate calculation.
Subtract: 9/10 - 2/5
Select the best answer.
Explanation:
To subtract fractions, you need a common denominator. In this case, convert 2/5 to an equivalent fraction with a denominator of 10, giving you 4/10. Now subtract: 9/10 - 4/10 = 5/10. Simplifying 5/10 to its lowest terms, you get 1/2. Therefore, the correct answer is 1/2, which represents the result of subtracting 2/5 from 9/10.
Convert 11:32 A.M. to Military time. (Enter the numerical value only.)
Select the best answer.
Explanation:
To convert 11:32 A.M. to Military time, A.M. hours from 1:00 to 11:59 are represented with a leading zero if required. In the 24-hour clock system, 11:32 A.M. is correctly converted to 1132. The correct answer is option A, as it represents 11:32 A.M. in the correct 24-hour time format. Remember that in military time, the hours are always represented with two digits, so a leading zero is added if the hour is a single digit to maintain consistency.
A parent is planning a birthday party for their child and wants to give each child 15 balloons. How many packets are needed for 16 children?
Select the best answer.
Explanation:
To find the total number of balloons needed, multiply the number of children by the number of balloons per child: 15 balloons x 16 children = 240 balloons. Since each packet contains 50 balloons, divide the total balloons needed by the balloons per packet: 240 balloons · 50 balloons per packet = 4.8 packets. As we cannot have a fraction of a packet, round up to the nearest whole number, which is 5 packets. Therefore, 5 packets are needed for 16 children to have 15 balloons each at the birthday party.
How many pints are in 56 ounces?
Select the best answer.
Explanation:
To convert ounces to pints, you need to know that there are 16 ounces in a pint. To find out how many pints are in 56 ounces, you divide 56 by 16 (56 ounces · 16 ounces/pint), which equals 3.5 pints. Therefore, there are 3.5 pints in 56 ounces.
Convert 5 3/4 to a decimal. Round to the nearest tenth.
Select the best answer.
Explanation:
To convert a mixed number to a decimal, divide the numerator by the denominator. In this case, 3 · 4 = 0.75. Adding this to 5 gives us 5.75. Rounding 5.75 to the nearest tenth results in 5.8. Therefore, the correct answer is A, 5.8.
A die is rolled. What is the probability of getting a 5?
Select the best answer.
Explanation:
The probability of rolling a specific number on a fair six-sided die is calculated by taking the total number of favorable outcomes (which is 1 in this case, as there is only one face with a 5) divided by the total possible outcomes (which is 6 for a standard die). Therefore, the probability of rolling a 5 is 1/6, which is approximately 16.6%. To convert the probability to a percentage, you multiply the fraction by 100, giving you 16.6%. Hence, the correct answer is C, 16.60%.
If 5 is to 30 as X is to 1, find the value of X. (Round to the nearest tenth.)
Select the best answer.
Explanation:
To find the value of X, set up a proportion: 5/30 = X/1. Cross-multiply to get 5 = 30X. Divide both sides by 30, which gives X = 5/30 = 0.1667. When rounded to the nearest tenth, X is 0.2, which is equivalent to 6 when rounded to a whole number. Therefore, the value of X is 6.
Change 0.004 to a ratio.
Select the best answer.
Explanation:
To convert 0.004 to a ratio, you first express it as a fraction, which is 4/1000. Simplifying this fraction gives 1/250. Therefore, the correct ratio for 0.004 is 1:250. This ratio represents the relationship between the parts, where for every 1 unit in the first part, there are 250 units in the second part. It's essential to simplify fractions to their lowest terms to express the ratio in its simplest form.
Ratio and Proportion 15:1000::x:100 = ?
Select the best answer.
Explanation:
To solve this proportion, set up the equation: 15/1000 = x/100. Cross multiply to get 15 * 100 = 1000 * x. Simplifying gives x = 1. Therefore, the correct answer is 1. The ratio 15:1000 is equivalent to the ratio 1:67. By setting up the proportion, we find that x = 1, making Option C the correct answer. This question assesses your understanding of ratios and proportions. Remember, when solving proportions, cross multiplication is a useful method to find the unknown value. In this case, the proportion is between 15 and 1000 in the first set, and x and 100 in the second set. By applying the cross multiplication method, you can determine that x equals 1, making Option C the correct answer.
What is the result of adding 5 1/3 + 3 1/2?
Select the best answer.
Explanation:
To add mixed numbers, convert them to improper fractions. 5 1/3 = 16/3 and 3 1/2 = 7/2. Find a common denominator, in this case, 6: 16/3 = 32/6 and 7/2 = 21/6. Add the fractions: 32/6 + 21/6 = 53/6, which simplifies to 8 5/6. Therefore, the sum of 5 1/3 + 3 1/2 is 8 5/6.
Which of the following decimals is the largest?
Select the best answer.
Explanation:
To determine the largest decimal among the options, you need to compare them by looking at the digits after the decimal point. When comparing 0.6, 0.667, 0.0688, and 0.68, consider that 0.6 is equivalent to 0.600, 0.667 remains 0.667, 0.0688 is already in its most precise form, and 0.68 is the same as 0.680. By comparing them, you can see that 0.68 is the largest decimal among the options provided. Remember, when comparing decimals, it's important to line up the decimal points to make accurate comparisons.
Convert 7/10 to a decimal.
Select the best answer.
Explanation:
To convert a fraction to a decimal, divide the numerator by the denominator. In this case, 7 · 10 = 0.7. Dividing by 10 shifts the decimal point one place to the left, making the conversion straightforward. Therefore, the correct decimal form of 7/10 is 0.7.
Subtract: 9/12 - 3/12
Select the best answer.
Explanation:
To subtract fractions with the same denominator, subtract the numerators. In this case, 9/12 - 3/12 = (9-3)/12 = 6/12. Then, simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 6. Thus, 6/12 simplifies to 1/2.
Ratio and Proportion: 9 : X :: 5 : 300
Select the best answer.
Explanation:
To find the value of X, set up the proportion: 9/X = 5/300. Cross-multiply to get 9 * 300 = 5 * X. Solve for X by dividing 2700 by 5, which equals 540. Therefore, the correct answer is A, which is 540.
What is the result of dividing 18.104 by 0.002?
Select the best answer.
Explanation:
When dividing by a small decimal like 0.002, it's equivalent to multiplying by 500 (since 1 · 0.002 = 500). Thus, 18.104 — 500 = 9052. This process involves shifting the decimal point three places to the right to calculate the answer.
Convert 0.60 to a ratio in simplest form.
Select the best answer.
Explanation:
To convert 0.60 to a ratio, start by expressing it as a fraction: 0.60 = 60/100. Then simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 20 in this case. Dividing 60 by 20 gives 3, and dividing 100 by 20 gives 5. Therefore, the simplified fraction is 3/5, which translates to the ratio 3:5 in simplest form.
What is 7/8 + 9/10 + 6/5 as a mixed number?
Select the best answer.
Explanation:
To add these fractions, first find a common denominator, which is 40 in this case. The fractions are then converted to have a denominator of 40: 35/40 + 36/40 + 48/40 = 119/40. On simplification, 119/40 equals 2 39/40. However, to express it as a mixed number, divide 119 by 40 to get 2 with a remainder of 39. Therefore, the correct mixed number form is 3 22/23.
What is 54% of $789.56?
Select the best answer.
Explanation:
To calculate 54% of $789.56, you multiply $789.56 by 0.54 (which is the decimal form of 54%). This gives you approximately $426.36. Therefore, the correct answer is A, as it represents 54% of the given amount.
Ratio and Proportion: 100:2 :: 60:X
Select the best answer.
Explanation:
To solve for X, set up the proportion: (100/2) = (60/X). Cross-multiply to get 100X = 120. Divide by 100 to isolate X, giving X = 1.2. Therefore, X = 1.6.
A new mother changes her baby's diaper 6 times a day, on average. How many diapers will the child use in a year?
Select the best answer.
Explanation:
To calculate the total number of diapers used in a year, you need to multiply the daily diaper changes (6 diapers) by the number of days in a year (365): 6 — 365 = 2,190. Therefore, the correct answer is 2,190 diapers.
Compare the relationships of these numbers: 0.045 is ______ to 0.054.
Select the best answer.
Explanation:
When comparing decimal numbers like 0.045 and 0.054, we look at their values. In this case, 0.045 is smaller than 0.054 because in decimal numbers, a larger number signifies a greater value. Therefore, the correct relationship between 0.045 and 0.054 is 'less than'. In this context, 'less than' accurately describes the relationship between the two numbers, with 0.045 being smaller than 0.054.
If a reader reads 5 pages a day in a book that has 1,025 pages, how many days will it take the reader to finish the book? (Enter a numeric value only.)
Select the best answer.
Explanation:
To determine the number of days needed to finish the book, divide the total number of pages in the book (1,025) by the number of pages read per day (5): 1,025 · 5 = 205. It will take 205 days for the reader to finish the book by reading 5 pages per day. Therefore, the correct answer is A) 205.
One side of a 6-sided die is numbered 4, 9, 12, 16, 20, and 24. What is the probability of rolling an even number?
Select the best answer.
Explanation:
To find the probability of rolling an even number, we identify the even numbers on the die, which are 4, 12, 16, 20, and 24 (5 even numbers). Since there are 6 total outcomes on a 6-sided die, the probability of rolling an even number is the number of favorable outcomes (5) divided by the total number of outcomes (6), resulting in a probability of 5/6.
Convert the military time 0056 to 12-hour time.
Select the best answer.
Explanation:
Military time 0056 represents 12:56 A.M. in the 12-hour clock format. When converting from military time to the 12-hour clock, you keep the hour as is if it's 1 to 12. In this case, 0056 corresponds to just after midnight, so it's 12:56 A.M. The 'A.M.' indicator signifies the time is in the morning.
How many cakes are needed to provide 24 servings for a class of 70 students and 3 staff members?
Select the best answer.
Explanation:
To calculate the total number of servings needed, we add the number of students and staff members: 70 students + 3 staff members = 73 individuals. Next, we divide the total servings required by the servings per cake: 73 · 24 = 3 with a remainder of 1. Since each cake provides 24 servings, we need 4 cakes to accommodate 73 servings, ensuring there are enough servings for everyone in the class.
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