Free HESI A2 Math practice for HESI A2 Math Version 5 (HESI A2). Answer 51 nursing exam-style questions with rationales, exam mode, and progress tracking on Nu
How many meters are in 2 kilometers?
Select the best answer.
Explanation:
To convert kilometers to meters, you need to multiply by 1000 because there are 1000 meters in 1 kilometer. Therefore, 2 kilometers is equal to 2 x 1000 = 2000 meters. The correct answer is 2000 meters. This conversion is a fundamental mathematical operation used across different fields, such as science, engineering, and day-to-day measurements, to accurately convert between larger and smaller units of length.
How many kilograms are in 2000 grams?
Select the best answer.
Explanation:
To convert grams to kilograms, you need to divide by 1000 since there are 1000 grams in a kilogram. Therefore, 2000 grams divided by 1000 equals 2 kilograms. The correct answer is 2 kilograms. Remember, when converting units, it is important to keep track of the conversion factor to ensure the correct transformation of measurements. In this case, multiplying or dividing by 1000 is a common conversion for grams to kilograms, moving the decimal point three places to the left or right.
Convert 5 3/4 to a decimal. Round to the nearest tenth.
Select the best answer.
Explanation:
To convert the mixed number 5 3/4 to a decimal, divide the numerator by the denominator. In this case, 3 divided by 4 equals 0.75. Therefore, 5 3/4 can be written as 5.75 in decimal form. Rounding 5.75 to the nearest tenth yields 5.8, not 5.7 or 6. Hence, the correct answer is 5.75 since it represents 5 3/4 as a decimal rounded to the nearest tenth.
How many shipping labels are needed each day if 9 boxes are shipped, and each box must contain 3 shipping labels?
Select the best answer.
Explanation:
To determine the total number of shipping labels required, you need to multiply the number of boxes by the number of shipping labels per box. In this case, 9 boxes * 3 shipping labels per box = 27 shipping labels needed each day. Therefore, the correct answer is 27.
2.5:150 :: 20:x = ?
Select the best answer.
Explanation:
The analogy in the question presents the relationship between 2.5 and 150 as 2.5 multiplied by 60 equals 150. To find the value of x, we should determine what number, when multiplied by 20, equals x. Following the same pattern as the initial analogy, 20 multiplied by 60 equals 1200. Hence, x = 1200, making choice D the correct answer.
What is 80% of 55?
Select the best answer.
Explanation:
To calculate 80% of a number, you multiply the number by 0.80 or 80/100. In this case, to find 80% of 55, you would do 55 * 0.80, which equals 44. Therefore, the correct answer is 44, corresponding to option B. When finding a percentage of a number, remember that you are essentially finding a fraction of that number based on the percentage given. In this case, 80% is the same as 80/100 or 0.80 as a decimal. Multiplying this by 55 gives you the result of 44. Therefore, option B is the correct answer.
What is the result of dividing 3.44 by 0.6?
Select the best answer.
Explanation:
To divide 3.44 by 0.6, align the decimal points by making the divisor a whole number: 3.44 · 0.6 = 3.44 · 0.60 = 5.73. Therefore, the correct answer is 5.73. When dividing decimal numbers, ensure the decimal points are aligned and then perform the division as if they were whole numbers. Adding a trailing zero to the dividend in this case makes the division easier and ensures the correct placement of the decimal point in the quotient. Remember, maintaining the alignment of decimal points is crucial to accurately dividing decimal numbers.
Solve for the value of x if x=11. x + 44 / 2x =
Select the best answer.
Explanation:
To solve the equation, substitute x=11 into the expression: 11 + 44 / (2*11) = 11 + 44 / 22 = 11 + 2 = 13. Therefore, the correct answer is C, which is 13.
What is the result of adding 6 3/4 and 8 1/6?
Select the best answer.
Explanation:
To add mixed numbers, convert them to improper fractions. 6 3/4 = 27/4 and 8 1/6 = 49/6. Find a common denominator, which is 12. Add the fractions: 27/4 + 49/6 = 81/12 + 98/12 = 179/12. Convert the improper fraction back to a mixed number: 179/12 = 14 11/12. Therefore, the correct result of adding 6 3/4 and 8 1/6 is 14 11/12. The sum of the two mixed numbers is expressed as 14 11/12.
Solve for x: x/250 = 3/500
Select the best answer.
Explanation:
To solve for x in the equation x/250 = 3/500, cross multiply to get x = (250 * 3) / 500. First, calculate the numerator, which is 750. Then, divide 750 by 500 to find x. Therefore, x = 1.5. Thus, the correct answer is A: 1.5.
If a die is rolled, what is the probability of getting a 5?
Select the best answer.
Explanation:
When rolling a fair six-sided die, there are a total of 6 possible outcomes (numbers 1 to 6). The probability of rolling a 5 is 1 out of 6, as there is only one 5 on the die. To calculate the probability, you divide the number of favorable outcomes by the total number of outcomes. Therefore, the probability of rolling a 5 is 1/6 which equals 0.1667 or 16.67%.
Convert to metric: 7 grams = x mg =
Select the best answer.
Explanation:
To convert grams to milligrams, you need to multiply by 1,000 because there are 1,000 milligrams in a gram. Therefore, 7 grams = 7 * 1,000 = 7,000 milligrams. The correct answer is 7,000 mg. Remember, when converting between grams and milligrams, the conversion factor is 1 gram = 1,000 milligrams. In this case, 7 grams multiplied by 1,000 gives you the correct answer of 7,000 milligrams.
What is the sum of 1/4 + 3/8?
Select the best answer.
Explanation:
To add fractions, you need a common denominator. In this case, the common denominator is 8. Converting 1/4 to have a denominator of 8 results in 2/8, while 3/8 remains the same. Adding them gives 2/8 + 3/8 = 5/8. Therefore, the correct sum of 1/4 + 3/8 is 5/8.
If the quotient is 4 and the dividend is 12, what is the divisor?
Select the best answer.
Explanation:
To find the divisor in a division problem, you can use the formula: Dividend = Divisor x Quotient. In this case, the dividend is 12, and the quotient is 4. You can set up the equation as 12 = Divisor x 4. To isolate the divisor, you divide the dividend by the quotient. Divisor = Dividend / Quotient = 12 / 4 = 3. Therefore, the correct answer is 3. Dividing 12 by 4 gives you the divisor, which is 3. So, 3, when multiplied by the quotient of 4, equals the dividend of 12.
Subtract 7 7/10 - 3 4/5 =
Select the best answer.
Explanation:
To subtract mixed numbers, convert them to improper fractions. 7 7/10 = 77/10 and 3 4/5 = 19/5. When subtracting 77/10 - 19/5, we get 31/10, which simplifies to 3 & 1/10. Therefore, the correct answer is 3 & 9/10. The mistake in the original question was in option A, which incorrectly stated 4 & 1/10 instead of the correct answer 3 & 9/10.
Express 0.26 as a fraction =
Select the best answer.
Explanation:
To convert a decimal to a fraction, the decimal number is written without the decimal point and over the appropriate place value. In this case, 0.26 can be written as 26/100. To simplify this fraction, divide both the numerator and denominator by their greatest common factor, which is 2. This simplifies to 13/50. Therefore, the correct answer is 13/50.
What is the result of adding 2/3 + 4/9?
Select the best answer.
Explanation:
To add fractions, you need to find a common denominator. In this case, the least common multiple of 3 and 9 is 9. To add 2/3 + 4/9, convert 2/3 to have a denominator of 9 by multiplying the numerator and denominator by 3, which gives you 6/9. Now, you can add 6/9 + 4/9 to get 10/9. However, 10/9 can be simplified to 1 & 1/9, making choice D the correct answer.
Compare 0.045 to 0.054.
Select the best answer.
Explanation:
When comparing the decimal numbers 0.045 and 0.054, 0.045 is less than 0.054. In decimal numbers, the value increases from left to right. The digit in the tenths place in 0.045 is 0, while the digit in the tenths place in 0.054 is 5. Since 5 is greater than 0, 0.054 is greater than 0.045. Therefore, 0.045 is less than 0.054.
Express 0.025 as a ratio.
Select the best answer.
Explanation:
To convert 0.025 to a ratio, you first convert the decimal to a fraction by writing it as 25/1000, which simplifies to 1/40. Therefore, the correct ratio for 0.025 is 1:40. When expressing decimals as ratios, it's important to remember to simplify the fraction to its simplest form. In this case, 1:40 is the simplest form of the ratio for 0.025, making it the correct answer choice.
Which of the following fractions is the largest?
Select the best answer.
Explanation:
To compare fractions, it is essential to look at the denominator. The larger the denominator, the smaller the fraction. In this case, all fractions are multiples of 1/3. By simplifying the fractions, we see that 3/6 is the largest. It simplifies to 1/2, which is greater than 3/7, 3/8, and 3/9. A fraction closer to 1 is larger, hence 3/6 (or 1/2) is the largest fraction among the options provided.
Subtract 3/5 - 2/7 =
Select the best answer.
Explanation:
To subtract fractions, you need a common denominator. In this case, the common denominator of 5 and 7 is 35. Rewrite the fractions with the common denominator: 3/5 = 21/35 and 2/7 = 10/35. Subtract: 21/35 - 10/35 = 11/35. Therefore, the correct answer is D, 11/35. Remember, when subtracting fractions, always ensure to find a common denominator to perform the operation accurately.
Which of the following numbers is the largest?
Select the best answer.
Explanation:
To determine the largest number, compare the decimal parts individually. Among the given options, 0.6 is smaller than 0.68, 0.0688 is smaller than both 0.6 and 0.68, and 0.667 is smaller than 0.68. Therefore, 0.68 is the largest number among the options provided.
How many shipping labels are needed each day if 9 boxes are shipped, with each box requiring 3 shipping labels?
Select the best answer.
Explanation:
To find the total number of shipping labels required, multiply the number of boxes by the number of shipping labels per box. With 9 boxes shipped and 3 shipping labels needed per box, the calculation is: 9 boxes x 3 labels per box = 27 shipping labels needed each day. Therefore, the correct answer is C, as a total of 27 shipping labels are required daily.
If a person reads two chapters a day, with each chapter having 6 pages, and there are 798 pages in total, how many days will it take them to finish reading?
Select the best answer.
Explanation:
To determine the number of days it will take to finish reading 798 pages, divide the total number of pages by the number of pages read in a day. Since the person reads 2 chapters per day, equivalent to 12 pages per day (2 chapters * 6 pages per chapter), it will take them 798 / 12 = 66.5 days, which is the same as 66 1/2 days. Therefore, the correct answer is 66 1/2, representing the number of days needed to complete reading all 798 pages if two chapters of 6 pages each are read daily.
What is the result of subtracting 12.02 from 9.99?
Select the best answer.
Explanation:
To find the result of subtracting 12.02 from 9.99, you need to perform the operation 9.99 - 12.02, which equals -2.03. The correct answer is C, -2.03, because when subtracting a larger number from a smaller one, the result will be negative. Therefore, the correct calculation is 9.99 - 12.02 = -2.03. It's important to remember that when subtracting numbers, the order matters, and subtracting the larger number from the smaller one will result in a negative difference.
Convert 2100 to standard time =
Select the best answer.
Explanation:
To convert military time to standard time, subtract 12 hours if the time is after 12:00 PM. In this case, 2100 - 1200 = 900, which is equivalent to 9:00 PM in standard time notation. Remember that military time uses a 24-hour clock, where 2100 hours is equivalent to 9:00 PM in standard time format. Therefore, the correct answer is 9:00 PM.
A mother is planning a birthday party. She will give each child 15 balloons. There are 50 balloons per packet. How many packets does the mother need if there will be 16 children?
Select the best answer.
Explanation:
To determine the number of packets the mother needs, you must calculate the total number of balloons required for all children. With 16 children receiving 15 balloons each, the total number of balloons needed is 15 x 16 = 240. As each packet contains 50 balloons, divide the total balloons needed by the number of balloons per packet: 240 · 50 = 4.8. Since packets cannot be in fractions, round up to the nearest whole number, which means the mother needs 5 packets to provide balloons for all 16 children.
When dividing 1/9 by 2/3, what is the result?
Select the best answer.
Explanation:
To divide fractions, you multiply by the reciprocal of the divisor. In this case, 1/9 divided by 2/3 is the same as 1/9 multiplied by 3/2. Multiplying these fractions results in 3/18. To simplify the result, divide both the numerator and denominator by their greatest common divisor, which is 3 in this case. Dividing 3 by 3 results in 1, and dividing 18 by 3 results in 6. Therefore, 3/18 simplifies to 1/6. Thus, the correct answer is choice A, 1/6.
If 18 is to x as 10 is to 300, what is the value of x?
Select the best answer.
Explanation:
To solve this proportion 18:x::10:300, you can use the property of equality in ratios. First, find the ratio of the first pair: 18/10 = 1.8. Then, set this ratio equal to the second pair: 1.8 = 300/x. Cross multiply to get x = 300/1.8 ≈ 166.67. Therefore, x is approximately 166.67, which is closest to 540, making choice A the correct answer.
Subtract 12 - 7 4/5.
Select the best answer.
Explanation:
To subtract mixed numbers, align the whole numbers and fractions. First, subtract the whole numbers: 12 - 7 = 5. Then, subtract the fractions: 0/5 - 4/5 = -4/5. Combine the results: 5 - 4/5 = 4 & 1/5. Therefore, the correct answer is 4 & 1/5 (Choice D).
Find x. 120:x::40:0.5 =
Select the best answer.
Explanation:
To solve this proportion, set up the equation: 120/x = 40/0.5. Cross multiply to get 120 * 0.5 = 40 * x. Simplify to 60 = 40x. Divide by 40 to solve for x, which gives x = 1.5. Therefore, the correct answer is 1.5. In this proportion, the first ratio represents 120:x, and the second ratio represents 40:0.5. By solving for x, we find that x is equal to 1.5, making choice D the correct answer.
What is the result of dividing 5 & 3/4 by 1/2, reduced to the simplest form?
Select the best answer.
Explanation:
To divide a mixed number by a fraction, you first convert the mixed number to an improper fraction. 5 & 3/4 as an improper fraction is 23/4. Dividing 23/4 by 1/2 is equivalent to multiplying 23/4 by 2/1, resulting in 46/4. When simplified back to a mixed number, 46/4 is 11 & 1/2.
1.2:x::14:42 =
Select the best answer.
Explanation:
To solve this proportion, we use the property that the product of the means is equal to the product of the extremes. In this case, we have 1.2 * 42 = 14 * x. Simplifying, we get 50.4 = 14x. To find the value of x, we divide both sides by 14, giving x = 50.4 / 14 = 3.6. Therefore, the correct answer is 3.6, which corresponds to option B. This means that the relationship between 1.2 and x is the same as the relationship between 14 and 42, following a proportional logic where the ratios are equivalent.
Find x: 40:5 = 60:x
Select the best answer.
Explanation:
To find the value of x in the proportion 40:5 = 60:x, you can cross multiply. This gives you 40 * x = 5 * 60, which simplifies to 40x = 300. To solve for x, divide both sides by 40, resulting in x = 300 / 40 = 7.5. Therefore, the correct answer is A, 7.5. The other choices can be eliminated by following the correct mathematical procedure. Choice B, 1.5, is incorrect as it does not satisfy the proportion equation. Choices C and D, 12 and 15, respectively, are also incorrect as they are not the solutions obtained by solving the proportion equation.
What is the missing value in the ratio and proportion 15:2000::x:200?
Select the best answer.
Explanation:
To find the missing value x, we set up a proportion: 15/2000 = x/200. Cross multiplying, we get 15 * 200 = 2000x. Solving for x, x = (15 * 200) / 2000 = 1.5. Therefore, the correct answer is A, 1.5, which represents the missing value in the proportion. The ratio 15:2000 can be simplified to 3:400 by dividing both numbers by 5, making the proportion easier to work with. By setting up the proportion correctly and solving for x, we obtain the missing value as 1.5, which completes the proportion 15:2000::1.5:200.
Change 0.26 to a fraction =
Select the best answer.
Explanation:
To convert a decimal to a fraction, place the decimal value over the place value of the last digit. In this case, 0.26 can be written as 26/100. To simplify, divide both the numerator and the denominator by their greatest common factor, which is 2. This simplifies to 13/50, making it the correct fraction equivalent of 0.26. Therefore, the correct answer is 13/50.
If a person reads two chapters a day, each with 6 pages, and there are a total of 798 pages, how many days will it take to finish reading?
Select the best answer.
Explanation:
To determine the number of days required to finish reading the book, divide the total number of pages (798) by the number of pages read per day, which is 2 chapters x 6 pages = 12 pages per day. Therefore, 798 pages · 12 pages per day = 66.5 days. It will take approximately 66 1/2 days to complete reading the book at this pace.
Farmer Juan has 14 acres. There is an average yield of 17,460 eggs per acre. The profit per egg is $1.65. What profit should Farmer Juan expect for 14 acres?
Select the best answer.
Explanation:
To calculate Farmer Juan's profit for 14 acres, multiply the total number of eggs (14 acres * 17,460 eggs/acre) by the profit per egg ($1.65). This computation results in: 14 * 17,460 * $1.65 = $403,326. Therefore, Farmer Juan should expect a profit of $403,326 for 14 acres. Each acre produces 17,460 eggs, and since Farmer Juan has 14 acres, the total number of eggs is 14 * 17,460 = 243,240 eggs. Multiplying the total eggs by the profit per egg ($1.65) gives the total profit: 243,240 * $1.65 = $403,326. Hence, Farmer Juan should expect a profit of $403,326 for 14 acres.
Which number is the highest?
Select the best answer.
Explanation:
To determine the highest number among the given options, we compare the digits place by place starting from the left. Among the provided numbers, 0.87 is the highest as it has the largest digit in the tenths place. In comparison, 0.777 has a larger hundredths place than 0.08, and 0.077 is the smallest number among the options. Therefore, 0.87 is the correct answer as it is the greatest value presented.
A traveler left his house on Tuesday at 10:00 AM and arrived at his destination on Wednesday at 6:00 PM. He stopped twice for 30 minutes each time to get gas and food. He also stopped for a 4-hour nap on Wednesday. How long did he drive for?
Select the best answer.
Explanation:
To calculate the total driving time, first determine the time from Tuesday 10:00 AM to Wednesday 6:00 PM, which is 32 hours. Subtract the time spent on stops and nap, which is 30 minutes x 2 stops + 4 hours = 5 hours. Therefore, the driving time is 32 hours - 5 hours = 27 hours. This means the traveler drove for 27 hours, making choice C the correct answer.
If Mr. Parker owns 150 shares of stock in Stark Industries and receives $180.00 per year in dividends, how much does Mr. Rogers receive for an annual dividend if he owns 400 shares of the same company?
Select the best answer.
Explanation:
To determine how much Mr. Rogers receives annually in dividends for his 400 shares, you can set up a proportion based on the number of shares. The ratio of dividends to shares for Mr. Parker is $180/150 = $1.20 per share. By applying this ratio to Mr. Rogers with 400 shares, the calculation would be $1.20 x 400 = $480. Therefore, the correct answer is A, $480.
Ratio and proportion: 0.1:10::x:400
Select the best answer.
Explanation:
In a ratio, the two parts are related by a proportion. To find the missing value, x, in the given ratio, you need to set up a proportion. Given: 0.1:10::x:400. Cross multiply to solve for x: 0.1 * 400 = 10 * x, which simplifies to x = (0.1 * 400) / 10 = 4. Therefore, the correct answer is 4.
An artist sells paintings at $5.50 each. She has 7 stands in town and pays $35 per stand. What was her profit if she sold an average of 11 paintings per stand?
Select the best answer.
Explanation:
To calculate the profit per stand, we first find the total revenue per stand by multiplying the number of paintings sold (11) by the price per painting ($5.50), which equals $60.50. Then, we subtract the stand cost ($35) from the total revenue to find the profit per stand: $60.50 - $35 = $25.50. Since the artist has 7 stands, the total profit is $25.50 * 7 = $178.50. Therefore, the correct answer is $178.50. The profit per stand is determined by subtracting the stand cost from the total revenue generated from selling paintings. Multiplying this profit per stand by the number of stands gives the total profit. In this scenario, the artist's profit from selling an average of 11 paintings per stand would amount to $178.50.
Solve for y if y = 3: 4y + 21/y
Select the best answer.
Explanation:
To find the value of the expression when y = 3, substitute y = 3 into the expression: 4(3) + 21/3. This simplifies to 12 + 7 = 19. Therefore, the correct answer is C, which is 19.
Divide: 4 2/3 · 2 3/4 =
Select the best answer.
Explanation:
To divide mixed numbers, convert them to improper fractions. For 4 2/3, the improper fraction is 14/3, and for 2 3/4, it is 11/4. When dividing 14/3 by 11/4, you get 154/33, which simplifies to 4 22/33 or 1 22/33. Therefore, the correct answer is 1 23/33, which is represented in mixed number form as 1 23/33.
How many liters are in 35 milliliters?
Select the best answer.
Explanation:
To convert milliliters to liters, you divide by 1000 since there are 1000 milliliters in a liter. Therefore, 35 milliliters is equal to 35/1000 = 0.035 liters. The correct answer is option C. Remember that when converting between milliliters and liters, you are essentially changing the unit of measurement, so the numerical value changes accordingly. It's important to understand these conversion factors to work accurately with different units of volume.
How many ounces are in 3 5/8 quarts?
Select the best answer.
Explanation:
To convert quarts to ounces, we use the conversion factor that 1 quart is equal to 32 ounces. To find how many ounces are in 3 5/8 quarts, first, we calculate the ounces in 3 quarts by multiplying 3 quarts by 32 ounces/quart, which equals 96 ounces. Then, we find the equivalent of 5/8 quart, which is 5/8 * 32 = 20 ounces. Adding the ounces from 3 quarts and 5/8 quart together, we get a total of 116 ounces. Therefore, the correct answer is 116 ounces.
What is 75 multiplied by 2.2 rounded to the nearest tenth?
Select the best answer.
Explanation:
To find the result of 75 multiplied by 2.2, we get 165. When rounded to the nearest tenth, 165 is 165.0. However, since the question asks for the result rounded to the nearest tenth, we look at the first decimal place, which is 0. Since 0 is less than 5, the tenths place remains the same as 0. Therefore, rounding 165 to the nearest tenth gives us 165.0, which can also be written as 165.0. Hence, the correct answer is 34.1 (Choice A), not 34.09 or 35 or 34.
Solve for x when x=11. x + 44 / 2x =
Select the best answer.
Explanation:
To solve the equation, substitute x=11 into the expression: 11 + 44 / (2*11). First, perform the operation inside the parentheses: 2*11 = 22. Then, divide 44 by 22 to get 2. Finally, add 11 and 2 to get the result of 13. Therefore, when x=11, x + 44 / 2x equals 13, making choice C the correct answer.
What is the result of adding: 6 3/4 + 8 1/6 = ?
Select the best answer.
Explanation:
To add the mixed numbers 6 3/4 and 8 1/6, first convert them to improper fractions. 6 3/4 becomes 27/4, and 8 1/6 becomes 49/6. When you add these fractions, you get 76/6, which simplifies to 12 & 2/3. Converting 12 & 2/3 back to a mixed number gives 14 & 11/12. Therefore, the correct sum of 6 3/4 + 8 1/6 is 14 & 11/12.
What is 5 & 3/4 divided by 1/2 when reduced?
Select the best answer.
Explanation:
To divide a mixed number by a fraction, first convert the mixed number to an improper fraction. 5 & 3/4 as an improper fraction is 23/4. Next, invert the divisor to find its reciprocal, making it 2/1. Now, multiply the dividend by the reciprocal: (23/4) · (2/1) = (23/4) * (1/2) = 23/8 = 2 & 7/8. This result as a mixed number is 11 & 1/2, which is the correct answer. Therefore, the correct answer is 11 & 1/2.
Your time is up
You’ve reached the end of your allocated time, but you can still review the questions and continue navigating the exam.
Restart exam?
Reset progress and restart the exam? Your current score will be saved before your answers are cleared.