Free HESI A2 Math practice for HESI A2 Math Version 2 (HESI A2). Answer 49 nursing exam-style questions with rationales, exam mode, and progress tracking on Nu
Add: 5 1/3 + 3 1/2 =
Select the best answer.
Explanation:
To solve this problem, first convert the mixed numbers to improper fractions. 5 1/3 is equal to 16/3, and 3 1/2 is equal to 7/2. Next, find a common denominator, which in this case is 6. Convert 16/3 to 32/6 and 7/2 to 21/6. Add these fractions together: 32/6 + 21/6 = 53/6. Finally, simplify 53/6 to the mixed number 8 5/6. Therefore, the correct answer is D) 8 5/6.
Solve for X: 2X + 90 = 270. (Enter the numerical value only, rounded to the nearest whole number.)
Select the best answer.
Explanation:
To solve for X, first subtract 90 from both sides: 2X = 270 - 90, which simplifies to 2X = 180. Then, divide by 2: X = 180/2 = 90. Therefore, the correct answer is A) 90.
Which is the largest fraction?
Select the best answer.
Explanation:
To determine the largest fraction, we need to compare the decimal equivalents of each fraction. Converting the fractions to decimals, we get: 3/5 = 0.6, 4/25 = 0.16, 4/19 ≈ 0.2105, 3/15 = 0.2. Comparing these decimals, we see that 3/5 (0.6) is the largest fraction among the options provided. Therefore, the correct answer is A) 3/5.
Subtract: 12 1/8 - 9 1/2 =
Select the best answer.
Explanation:
To solve this problem, first convert the mixed numbers to improper fractions. 12 1/8 can be written as 97/8, and 9 1/2 can be written as 19/2. Ensure a common denominator (8) by rewriting 19/2 as 76/8. Now, subtract the fractions: 97/8 - 76/8 = 21/8 = 2 5/8. Therefore, the correct answer is 2 5/8.
How many gallons are in 576 fluid ounces?
Select the best answer.
Explanation:
To convert fluid ounces to gallons, you need to divide by 128, as 1 gallon is equivalent to 128 fluid ounces. So, 576 fluid ounces divided by 128 equals 4.5 gallons. Therefore, there are 4.5 gallons in 576 fluid ounces. Understanding conversion factors is essential for accurately working with different units of volume.
Convert the following military time to standard time: 1700 hours
Select the best answer.
Explanation:
Military time is based on a 24-hour clock system, where 0000 (12:00 AM) to 2359 (11:59 PM) represents the full day. To convert military time to standard time, subtract 1200 from the given military time if it is greater than 1200. In this case, 1700 hours - 1200 = 5:00 PM. Therefore, the correct answer is D) 5:00 PM.
In a nursing school with 89 students, if 7 out of 8 are female, what percentage of students are female?
Select the best answer.
Explanation:
To find the percentage of female students, first determine the number of female students by multiplying (7/8) by 89, resulting in 78 females. Then, to calculate the percentage, divide the number of female students (78) by the total number of students (89) and multiply by 100 to get 87.50%. Therefore, 87.50% of the students in the nursing school are female.
A person is responsible for replacing light bulbs when they stop working in an outdoor sign. The sign has 1,652 bulbs, and 42% of the bulbs burn out every week. How many light bulbs should the person expect to replace each day when working 7 days a week?
Select the best answer.
Explanation:
To find out how many light bulbs the person should expect to replace each day, first, calculate the number of bulbs that burn out each week: 1,652 bulbs — 0.42 = 694 bulbs. Then, divide by the number of days worked per week, which is 7: 694 · 7 = 99. Therefore, the person should expect to replace approximately 99 bulbs each day.
How many ounces are in 3 gallons?
Select the best answer.
Explanation:
To convert gallons to ounces, you should multiply by the conversion factor of 128 (1 gallon = 128 ounces). Therefore, to find the number of ounces in 3 gallons, you calculate: 3 gallons x 128 ounces/gallon = 384 ounces. Hence, there are 384 ounces in 3 gallons.
Convert 1/5 to a decimal.
Select the best answer.
Explanation:
To convert a fraction to a decimal, divide the numerator by the denominator. For 1/5, you calculate 1 · 5 = 0.2. Therefore, the decimal equivalent of 1/5 is 0.2. It is important to note that when the numerator is smaller than the denominator, the resulting decimal value will be less than 1.
How many ounces are in 8 1/4 pints?
Select the best answer.
Explanation:
To convert pints to ounces, we use the conversion factor that 1 pint equals 16 ounces. To find the number of ounces in 8 1/4 pints, we multiply 8.25 pints by 16 ounces/pint: 8.25 * 16 = 132 ounces. Therefore, there are 132 ounces in 8 1/4 pints.
Ratio and Proportion: 240 : X :: 80 : 0.8 (Enter a numeric value only.)
Select the best answer.
Explanation:
To solve for X, set up the proportion: 240/X = 80/0.8. Cross-multiply to get 240 * 0.8 = 80 * X, which simplifies to 192 = 80X. Dividing both sides by 80 gives X = 192/80 = 2.4. Therefore, the correct answer is A) 2.4.
A mother is planning a birthday party for her son and she wants to give each child 15 balloons. There are 50 balloons in each packet she purchases. How many packets of balloons does she need to purchase for a party of 16 children?
Select the best answer.
Explanation:
First, calculate the total number of balloons needed: 15 balloons/child * 16 children = 240 balloons. Next, divide by the number of balloons per packet: 240/50 = 4.8 packets. Since she cannot purchase a fraction of a packet, she needs to round up to the nearest whole number. Therefore, she needs to purchase 5 packets to have enough balloons for the party. Hence, the correct answer is C) 5.
Ratio and Proportion: 240 : X = 80 : 0.8 (Enter a numeric value only.)
Select the best answer.
Explanation:
To solve for X, set up the proportion: 240/X = 80/0.8. Cross-multiply to get 240 — 0.8 = 80 — X, which simplifies to 192 = 80X. Dividing both sides by 80 gives X = 192/80 = 2.4. Therefore, the correct answer is A) 2.4.
Express 0.608 as a percent.
Select the best answer.
Explanation:
To convert a decimal to a percent, multiply by 100. Therefore, 0.608 — 100 = 60.8%. Thus, the correct answer is D) 60.80%.
Multiply 4/9 x 1 4/5 x 2/5
Select the best answer.
Explanation:
To multiply the given fractions, first convert the mixed numbers to improper fractions. 1 4/5 = (5*1 + 4)/5 = 9/5. Now the expression becomes 4/9 * 9/5 * 2/5. Multiply the numerators together and the denominators together to get (4*9*2)/(9*5*5) = 72/225. Simplify the fraction by dividing both numerator and denominator by their greatest common divisor, which is 9, to get 8/25. Therefore, the correct answer is 8/25.
20:5 = 30:x. Find the value of x. (Enter the numerical value only. Round to the nearest tenth.)
Select the best answer.
Explanation:
To find the value of x, set up the proportion: 20/5 = 30/x. Cross-multiply to get 20x = 150. Dividing both sides by 20 gives x = 7.5. Therefore, the value of x is 7.5 when rounded to the nearest tenth.
Express 0.004 as a ratio.
Select the best answer.
Explanation:
To convert 0.004 to a ratio, we first express it as a fraction, which is 4/1000. Simplifying this fraction by dividing the numerator and denominator by their greatest common factor, which is 4, we get 1/250. Therefore, the ratio of 0.004 is 1:250. Remember that to express a decimal as a ratio, you need to convert it to a fraction first, simplify the fraction, and then express it in the form of a ratio.
Evaluate the expression when x=11: x + 44 / (2x) =
Select the best answer.
Explanation:
To evaluate the expression, substitute x=11 into the equation: 11 + 44 / (2*11). First, calculate 2*11 = 22. Then, simplify the expression: 11 + 44 / 22 = 11 + 2 = 13. Therefore, the correct answer is 13, which corresponds to choice C.
Subtract 7 7/10 - 3 4/5 =
Select the best answer.
Explanation:
To subtract mixed numbers, you need to convert them to improper fractions. So, 7 7/10 = 77/10 and 3 4/5 = 19/5. Subtracting these fractions, you get 77/10 - 19/5 = 77/10 - 38/10 = 39/10. Converting 39/10 back to a mixed number, you get 3 & 9/10, which is the correct answer.
How many liters are in 300 milliliters?
Select the best answer.
Explanation:
To convert milliliters to liters, divide by 1000 because 1 liter is equal to 1000 milliliters. Therefore, 300 milliliters is equal to 0.3 liters (300 · 1000 = 0.3). The correct answer is 0.3 liters, as 300 milliliters is a fraction of a liter, not a whole liter.
Ratio and Proportion: 15:1000 :: X:100
Select the best answer.
Explanation:
To solve this proportion problem, we set up the ratio 15:1000 equal to X:100. This gives us (15/1000) = (X/100). Cross-multiplying, we get 15 — 100 = 1000X, which simplifies to 1500 = 1000X. Dividing both sides by 1000, we find X = 1.5. Therefore, the correct answer is X = 1.5.
A young adult is running a 24-mile course. If they run the first 6 miles in 1 hour, the second 6 miles in 1.2 hours, the third 6 miles in 1.5 hours, and the fourth 6 miles in 1.6 hours, how long will it take them to complete the run? (Round to the nearest tenth.)
Select the best answer.
Explanation:
To find the total time taken to complete the 24-mile run, add the times for each segment: 1 + 1.2 + 1.5 + 1.6 = 5.3 hours. Therefore, it will take them 5.3 hours to finish the 24-mile course. The correct answer is A, 5.3 hours.
Compare the relationships of these numbers: 0.25 is _______ to 25%.
Select the best answer.
Explanation:
0.25 is equivalent to 25% because they represent the same value in different forms. 0.25 is the decimal representation of 25% (0.25 = 25/100), making them equal in value. When comparing these two numbers, they are not greater or lesser than each other; they are exactly the same amount, just expressed differently. Therefore, the correct answer is 'equal' as 0.25 and 25% are essentially the same numeric value in different formats, demonstrating an equal relationship between them.
How many grams are in 4 kilograms? (Enter numeric value only.)
Select the best answer.
Explanation:
To convert kilograms to grams, you need to know that there are 1,000 grams in 1 kilogram. Therefore, to find out how many grams are in 4 kilograms, you multiply 4 (kilograms) by 1,000 (grams/kilogram), which equals 4,000 grams. Thus, the correct answer is 4000 grams, as there are 4,000 grams in 4 kilograms.
What is the result of dividing 0.9 by 3?
Select the best answer.
Explanation:
When dividing 0.9 by 3, you perform the operation 0.9 · 3, which equals 0.3. Dividing a number by another number means finding how many times the divisor can fit into the dividend. In this case, 3 can fit into 0.9 a total of 0.3 times, resulting in the answer of 0.3.
Ratio and Proportion: 100: 2 :: 60 : X
Select the best answer.
Explanation:
To find X, set up the proportion: (100/2) = (60/X). Cross-multiply to get 100X = 120. Dividing both sides by 100 gives X = 1.2. Therefore, the correct answer is X = 1.2, which is option D.
What is 9.6 divided by 0.8?
Select the best answer.
Explanation:
To divide 9.6 by 0.8, you should perform the division operation: 9.6 · 0.8 = 12. Therefore, the correct answer is 12. When dividing decimals, remember to move the decimal point to the right in both numbers until the divisor is a whole number. In this case, by multiplying both numbers by 10, you get 96 · 8 = 12.
What is the result of dividing 0.6 by 0.12?
Select the best answer.
Explanation:
To divide 0.6 by 0.12, you can perform the operation as follows: 0.6 · 0.12 = 5. Therefore, the correct answer is 5, as the result of dividing these two numbers. When dividing decimals, you can move the decimal point to the right on both numbers until the divisor is a whole number, then divide as you would with whole numbers. In this case, you can multiply both 0.6 and 0.12 by 10 to make the divisor a whole number, resulting in 6 · 1 = 5.
What is the result of multiplying 20.3 by 2? (Enter a numerical value only.)
Select the best answer.
Explanation:
To find the result of multiplying 20.3 by 2, you simply multiply the two numbers: 20.3 x 2 = 40.6. When multiplying decimals, multiply as if they were whole numbers and then adjust the decimal point in the product. In this case, the product is 40.6. Therefore, the correct answer is 40.6, rounded to the nearest tenth.
After the expiration date, a vitamin's calcium content decreases. If each tablet initially contains 500 mg of calcium, and 325 mg deteriorates, what is the remaining total amount of calcium per tablet?
Select the best answer.
Explanation:
To determine the remaining calcium content per tablet, subtract the deteriorated amount from the initial amount: 500 mg - 325 mg = 175 mg. After deterioration, each tablet will have 175 mg of calcium remaining. Therefore, the correct answer is A (175 mg). The calculation involves simple subtraction to find the difference between the initial calcium content and the deteriorated amount, providing the accurate remaining total calcium content per tablet.
Ratio and Proportion: 3 : 10 :: 12 : X
Select the best answer.
Explanation:
To solve this proportion, set up the equation: 3/10 = 12/X. Cross-multiply to get 3X = 120. Dividing both sides by 3 gives X = 40. Therefore, the correct answer is B. X equals 40 to maintain the proportional relationship. The ratio 3:10 is equivalent to the ratio 12:40, hence X equals 40.
What is the result of subtracting 2 5/8 from 7/8, reduced to lowest terms?
Select the best answer.
Explanation:
To subtract mixed numbers, convert them to improper fractions. 2 5/8 as an improper fraction is 21/8. Subtracting 7/8 from 21/8 results in 14/8. Simplifying 14/8 to lowest terms gives 1 3/4, which is the final answer.
Multiply: 1/2 x 1 3/5 x 2 7/9 =
Select the best answer.
Explanation:
To solve this multiplication problem, convert the mixed numbers to improper fractions: 1 3/5 = 8/5 and 2 7/9 = 25/9. Then multiply the fractions: (1/2) x (8/5) x (25/9) = 200/90, which simplifies to 20/9 or 2 2/9. Therefore, the correct answer is 2 2/9. Remember to multiply the numerators together and the denominators together when multiplying fractions.
How many meters are in 3 kilometers? (Enter a numeric value only.)
Select the best answer.
Explanation:
To convert kilometers to meters, remember that 1 kilometer is equivalent to 1,000 meters. Therefore, to determine how many meters are in 3 kilometers, you multiply 3 (kilometers) by 1,000 (meters), resulting in 3,000 meters. The correct answer is 3,000 meters, which corresponds to option B.
Ratio and Proportion: 9 : X :: 5 : 300 (Enter numeric value only.)
Select the best answer.
Explanation:
To find the value of X in the proportion 9 : X :: 5 : 300, we can set up the equation (9/X) = (5/300) and cross-multiply. This gives us 9 * 300 = 5 * X. Simplifying further, we get X = (9 * 300) / 5 = 540. Therefore, the correct answer is 540, which is option B.
A person is advised by their healthcare provider to reduce their daily coffee consumption by 75%. If they typically drink 5 cups of coffee daily, how many ounces of coffee are they allowed to consume after following the advice?
Select the best answer.
Explanation:
To determine how much coffee the person can consume after reducing by 75%, first calculate 75% of 5 cups, which is 3.75 cups. Subtracting 3.75 from 5 gives 1.25 cups remaining. Since 1 cup equals 8 ounces, the person can have 1.25 cups x 8 ounces = 10 ounces of coffee daily after the reduction. Therefore, the correct answer is 10 ounces (Choice B).
How many ounces are equivalent to 3 gallons?
Select the best answer.
Explanation:
To convert gallons to ounces, you need to know that 1 gallon is equal to 128 ounces. Therefore, to find out how many ounces are in 3 gallons, you multiply 3 (gallons) by 128 (ounces per gallon) which equals 384 ounces. Hence, the correct answer is 384 oz.
Ratio and Proportion: 0.5 : 20 :: X : 200
Select the best answer.
Explanation:
To find the value of X in the proportion 0.5 : 20 :: X : 200, you can set up the equation as (0.5/20) = (X/200). Cross-multiply to solve for X: 0.5 — 200 = 20 — X. This simplifies to X = (0.5 — 200)/20 = 5. Therefore, the correct answer is B, X = 5.
Solve for x: 7:42 :: 4:x
Select the best answer.
Explanation:
To solve the analogy 7:42 :: 4:x, we first simplify the ratio 7:42 to 1:6 by dividing both numbers by 7. Maintaining the same simplification, we apply it to 4:x, resulting in 4:24. Therefore, x = 24, making choice C the correct answer as it completes the analogy.
What is the result of adding the fractions 2/3 + 1/6 + 2/5?
Select the best answer.
Explanation:
To add fractions with different denominators, first, find a common denominator. In this case, the common denominator is 30. Convert each fraction to have a denominator of 30: 2/3 = 20/30, 1/6 = 5/30, and 2/5 = 12/30. Now, add the numerators: 20/30 + 5/30 + 12/30 = 37/30. Simplifying 37/30 gives 1 7/30 as the final result.
What is the sum of 2/3 + 4/9?
Select the best answer.
Explanation:
To add fractions, find a common denominator, which is 9 in this case. Convert 2/3 to 6/9. Now, add 6/9 + 4/9 to get 10/9, which simplifies to 1 1/9.
Ratio and proportion: 0.8:10 :: x:100
Select the best answer.
Explanation:
To solve this proportion problem, start by setting up the given ratio 0.8:10 as a fraction, which is 0.8/10. Then, set this fraction equal to the unknown ratio x:100, represented as x/100. Cross multiplying gives us 0.8 * 100 = 10x. Simplifying the equation, we get 80 = 10x. Solving for x, x = 80/10 = 8. Therefore, the correct answer is D, as x equals 8, not 0.8, 80, or 800.
Change the decimal to a percent: 0.000026 =
Select the best answer.
Explanation:
To convert a decimal to a percentage, you multiply by 100. In this case, 0.000026 * 100 = 0.0026%. When rounded to the nearest hundredth, it becomes 0.00%. Therefore, the correct answer is A, 0.00%.
What is the result of adding 9.98 and 0.065?
Select the best answer.
Explanation:
To find the sum of 9.98 and 0.065, you align the decimal points and add the numbers as you would with whole numbers: 9.98 + 0.065 = 10.045. Therefore, the correct answer is B, which is 10.045. When adding decimal numbers, it's essential to keep the decimal points aligned to ensure an accurate sum. In this case, the sum is 10.045.
Convert the percentage to a decimal: 38% =
Select the best answer.
Explanation:
To convert a percentage to a decimal, you divide by 100. In this case, 38% is equal to 38/100 = 0.38 when converted to a decimal. Therefore, the correct answer is D.
What is the sum of 6, 12.55, and 5.022?
Select the best answer.
Explanation:
To find the sum of 6, 12.55, and 5.022, you add the numbers together: 6 + 12.55 + 5.022 = 23.572. The correct answer is B, 23.572, as this is the total sum of the three numbers provided. Therefore, the sum of 6, 12.55, and 5.022 is 23.572.
Convert the percent to a decimal: 17.6% =
Select the best answer.
Explanation:
To convert a percentage to a decimal, divide the percentage value by 100. In this case, 17.6% divided by 100 is 0.176. Therefore, the correct answer is 0.176, choice C. Remember, moving the decimal point two places to the left when converting a percentage to a decimal is a common method to follow. In this case, 17.6% as a decimal becomes 0.176, where 17.6% is equal to 17.6/100 = 0.176.
If a die is rolled, what is the probability of getting an odd number?
Select the best answer.
Explanation:
When a fair six-sided die is rolled, there are 3 odd numbers (1, 3, 5) out of a total of 6 possible outcomes (1, 2, 3, 4, 5, 6). The probability of rolling an odd number is calculated by taking the number of favorable outcomes (3) divided by the total number of outcomes (6), which simplifies to 3/6 or 1/2, equivalent to 50%. Therefore, the correct answer is 50%. This means that when rolling a fair six-sided die, there is a 50% chance of getting an odd number.
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