ASVAB Arithmetic Reasoning Practice Test

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• Which operation is described by multiplying a number by its multiplicative inverse?
• What is the equivalent of 24 hours in days?
• How many seconds are there in one degree?
• If a set contains the numbers 2, 3, 5, 7, and 11, what can you identify about these numbers?
• If you multiply the number 12 by $3.50, what is the resultant amount?
• What is the smallest whole unit of digital storage?
• What is the prime factorization of 140?
• What are statements that indicate relationships between variables where the values are not equal called?
• What is the centimeter equivalent of 1 meter in decimeters?
• What term describes the number that, when added to any number, results in that number?
• What would be the product of 9 and 6?
• What is the clue word associated with division?
• Which identity is represented when adding 0 to any number?
• If a car is towed 12 miles to the repair shop and the tow charge is $3.50 per mile, how much does the tow cost?
• What must be done if the denominators of the fractions being added or subtracted are different?
• In geometry, what is the relationship between the radius and the diameter?
• What would an unknown number divided by 5 look like?
• Which of the following describes whole numbers?
• What is the average value of a set of numbers known as?
• What process involves breaking down a number until only prime numbers are left?
• How many meters are in 1 mile?
• How many residents can be fed from a food truck carrying 3 tons of food for a 10-day period if each meal weighs a total of 48 ounces?
• How many teaspoons are equivalent to 1 gallon?
• What formula is used to calculate the area of a circle?
• A sales manager buys antacid in bottles the gross. If he goes through 3 bottles of antacid every day, how long will the gross last?
• In the expression 4^3, what is 4 considered?
• What method can be used to adjust decimals for addition or subtraction?
• When two lines meet at a point, what geometric figure do they form?
• How many minutes are in one hour?
• How fast is Karl traveling in miles per hour if he is driving at 75 kilometers per hour?
• What does the median represent in a set of numbers?
• What is the sale price of a camera that normally costs $160 after a 20% discount?
• Which operation is performed to both sides of the equation when solving x/5 - 4 = 2?
• What does the formula A = 3.14(d) calculate?
• The sum of two numbers is 70. One number is 8 more than the other. What's the smaller number?
• How many bytes are there in a kilobyte?
• How many deciliters are there in 1 liter?
• What is the total degree measure of the angles in a quadrilateral?
• What is the metric equivalent of 2 pints?
• What is represented by an exclamation mark (!) and is calculated by multiplying a whole number by all the whole numbers less than it down to 1?
• A 2-ton truck is taxed at a rate of $0.12 per pound. What is the total tax bill?
• In arithmetic, what does "addition" signify?
• What is the fixed quantity called that represents a percentage, such as 5% interest?
• How many centimeters are in 1 meter?
• How many days are in 52 weeks?
• What is the value of x in the equation 3x = 18?
• A security guard walks the equivalent of six city blocks when he makes a circuit around the building. If he walks at a pace of eight city blocks every 30 minutes, how long will it take him to complete a circuit around the building?
• What type of lines meet to form a right angle?
• What is the first step to multiply two fractions?
• To change a fraction to a decimal, you must perform which operation?
• Which of the following includes whole numbers, negative whole numbers, and zero?
• Which term describes an equation that includes the square of a variable?
• In the context of data analysis, what does it mean for a series of numbers to have a mode?
• How can any decimal be represented?
• How many centuries are there in 10 centuries?
• If the scale on a road map is 1 inch = 250 miles, how many inches represent 1,250 miles?
• How many decades are there in 1 century?
• What is the area of a rectangle with a length of 10 feet and a width of 5 feet?
• How many degrees are in a right angle?
• What is the probability that a pen randomly pulled from a backpack containing 5 blue pens, 6 black pens, and 4 red pens is either red or black?
• What is the difference in parking costs for 5 hours between garage (A) and garage (B) given their rates?
• Which term describes lines that are always the same distance apart and never meet?
• What is the total cost Micheal paid for 2 1/4 pounds of lumber at $4.00 per pound, including a 7% sales tax?
• Which number comes closest to the square root of 54 when multiplied by itself?
• To isolate x in the equation 3x = 18, which operation should be performed?
• If an angle measures 30 degrees, what is its complementary angle?
• To convert the equation y - 4 = 20 into a solution, what should be added to both sides?
• What is the number of months in one year?
• To calculate your gas mileage, what operation should you perform?
• What is the total amount Kiya paid for two frozen turkey breasts that each cost $8.50 with a 10% off coupon?
• Alice leaves her house, driving east at 45 miles per hour (mph). Thirty minutes later her husband Dave notices she forgot her cell phone and sets off after her. How fast must Dave travel in order to catch up with Alice 3 hours after he leaves?
• What is 20 - (-5)?
• What is the metric equivalent of 1 inch?
• What is the metric equivalent of 1 liter in deciliters?
• The area of a square is determined by:
• What is the next step after determining if the percent change is an increase or decrease?
• Which function would yield the highest value if x is increased continuously?
• What is the equivalent of 10 millimeters in centimeters?
• In the equation a + b = b + a, which law is represented?
• By how much will the number 258,546 increase if each digit 5 is replaced with the digit 7?
• What does 10 years equal in decades?
• What is the sum of the angles in a triangle?
• What must you do to the denominator when converting a fraction to a decimal?
• What is the definition of volume in relation to solid shapes?
• Which term refers to an equation where a number multiplied by zero equals zero?
• Which formula represents the area of a trapezoid?
• How many days are there in a leap year?
• What is the boiling point of water in Fahrenheit?
• What is the identity property of multiplication?
• What is the expression for 15 divided by some number?
• The population of Grand Island, Nebraska, grew by 600,000 people between 1995 and 2005, one-fifth more than the town council predicted. The town originally predicted the city's population to grow by?
• What do you get if you change 3 and 1/3 into an improper fraction?
• A 25 ounce solution is 20% alcohol. If 50 ounces of water are added, what percent of the new solution is alcohol?
• How many ounces are in 1 pint?
• Which type of polygon has at least one angle greater than 180 degrees?
• The term used for a percentage expressed in decimal form is?
• If a train travels 60 miles in 1 hour, how long will it take to cover 180 miles?
• Miriam bought five cases of motor oil on sale. A case of motor oil normally costs $24.00, but she was able to purchase the oil for $22.50 a case. How much money did Miriam save on her entire purchase?
• What is the solution for z in the equation 16 + z = 24?
• What is the cube root of 27?
• How many total pizzas are there if there are six pepperoni, seven hamburger, four cheese, and three "with everything"?
• If Jack loans Bob $1,500 at a 7% annual interest rate, how much will Bob owe after one year?
• What does the formula rate (speed) x time calculate?
• What is the freezing point of water in Celsius?
• Which triangle has all sides of equal length?
• How many items are there in 1 dozen?
• How many feet are there in 5,280 feet?
• If an item costs $90 and is on sale for 30% off, what will the sale price be?
• What shape is formed by three or more lines that are connected to enclose an area?
• Which property is indicated when stating that a + 0 = a?
• What defines decimal fractions?
• What is another term for "difference" in mathematical operations?
• What is the process of limiting a number to fewer decimal places called?
• How many jelly beans does each group of four need originally if each of four people consume jelly beans proportional to their original numbers?
• What is the sum of angles in a straight line?
• What mathematical measure represents the difference between the highest and lowest values in a dataset?
• Which of the following is not a type of inequality?
• To change a percentage to a decimal, what operation do you perform with the decimal point?
• What would be the time it takes for an adult fare of $3 charged if the child cost is half?
• What is the result of adding a number and its additive inverse?
• What is an exponent?
• What is the conversion of 60 seconds to minutes?
• If a person invests $1,000 at a 5% interest rate for 2 years, what is the amount of simple interest earned?
• Which of the following fractions is the largest?
• If you know 25 ounces of a solution is 20% alcohol, how would you express the total alcohol in ounces?
• What is the value of x in the equation x/5 - 4 = 2?
• Which of these expressions represents a linear equation?
• The total cost for the subway stations passed by the subway car traveling for one hour is based on what unit rate?
• How many yards are in 1 mile?
• How many degrees Celsius are equivalent to 32 degrees Fahrenheit?
• If two children at varying costs and adult charges sum to $14, what is the cost per child if adults are paying double?
• What does the symbol ≠ signify in mathematical expressions?
• How many pints are equivalent to 1 gallon?
• How many days are in 7 days?
• What is the equivalent of 1 mile in kilometers?
• What does the expression 7 - y represent, if y is a number greater than 7?
• How many small sodas contain the same amount as eight large sodas, given the relationships between large, medium, and small sodas?
• What is the solution for y in the equation 7y = 3y - 12?
• What is the result of 7.3 x 7.3?
• Which operation is referred to as the "product"?
• How many days are in one standard year?
• By what percent must a stock price increase to reach its former value after a 20% decrease?
• If the initial population was set at 100, what number represents the population after a 100% increase followed by a 50% increase?
• Which type of angles add up to 180 degrees?
• How do you convert a percentage to a fraction?
• Which of the following shapes always has right angles?
• What is the correct expression for the perimeter of a rectangle?
• Which of the following is true when adding or subtracting fractions with the same denominator?
• How many yards are there in 1 mile?
• How many square feet of carpeting are needed to carpet a 12-foot × 12-foot room?
• When adding or subtracting decimals, what should you do to the decimal points?
• What do you call two angles that add up to 90 degrees?
• What is the relationship between days and weeks in a standard week?
• A man earns $200 for his first 40 hours and is paid one-and-one-half times his rate for overtime. How many hours must he work to earn $230?
• If an aircraft travels 120 miles in 12 minutes, what is its speed in miles per hour?
• Which property is defined by (a+b) + c = a + (b+c)?
• How would you simplify the fraction 12/16?
• What type of quadrilateral has four sides of equal length, but angles may not be right angles?
• If you have a piece of ribbon that is 80 inches long and you cut it into 5 equal pieces, how long is each piece?
• What is the term for the number that when multiplied by itself equals the original number?
• How many pints are in 2 cups?
• The total fare for two adults and three children on a boat is $14. If the child's fare is half of the adult's, what is the adult fare?
• How many pounds are there in 1 ton?
• Which scenario is best represented by the term side x side x side?
• What does the associative property deal with?
• How would you express an unknown number multiplied by 6?
• Given ab = 10 and a² + b² = 30, what is the value of y in the equation y = (a + b)²?
• How many deciliters is equivalent to 10 centiliters?
• What is the term for the reciprocal of a number, which results in one when multiplied by that number?
• What is the correct fraction representation of 25%?
• What sum do complementary angles equal?
• The formula to convert a fraction to a decimal involves what operation?
• What is 1 year equivalent to in weeks and days?
• Which of the following best describes a composite number?
• What is the correct method to change a decimal to a percentage?
• A student spends 2/3 of the total exam time on the first half of a one-hour exam. How many minutes does he spend on the first half?
• What is the sum of a, b, and c if a = 2, b = 4, and c = 3?
• Which of the following represents the cumulative effect of adding quantities?
• When determining the percent increase from 110 to 440, what is necessary to check first?
• Which of the following is a prime number?
• Which theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides?
• In prime factorization, the final result consists only of what type of numbers?
• The cost of a protein bar increased from $2.50 to $2.80. What is the percent increase?
• What is the formula for the area of a triangle?
• If x = 2 and y = 3, what is the value of 2x² + 4y + 5?
• How would you express an unknown number decreased by 12?
• Which term refers to a quantity calculated by multiplication?
• What word indicates a multiplication operation?
• What is the decimal representation of the fraction 1/2?
• What formula represents the volume of a cylinder?
• What is the name of the point where two lines intersect?
• From 1980 to 1990, the population of Country X increased by 100%, and then by 50% from 1990 to 2000. What was the overall increase in population from 1980 to 2000?
• What should be added to a decimal to convert it correctly to a percentage if it requires more digits?
• What does the ratio of 6 to some number look like?
• If a man has a salary of $30,000 and receives a 10% raise, what will his new salary be?
• What is the formula for calculating the volume of a box?
• In percentage calculations, what does adding zeros help achieve?
• What is the formula for the area of a circle?
• If the train to Wichita travels at 55 mph, how far does it travel in 2 hours?
• Which of the following terms is a clue for subtraction?
• Which formula calculates the rate of travel?
• What does the term "quotient" refer to in arithmetic?
• What is the equivalent of 1 gallon in fluid ounces?
• What does the statement a x 1 = a demonstrate?
• How many yards are in 3 feet?
• What is the term for a line passing through the center of a circle from one side to the other?
• What is the expression for 12 less the sum of 3 and some number?
• If 1 liter equals 10 deciliters, how many deciliters are in 10 liters?
• What is the term for a three-dimensional rectangular space?
• How many feet are equal to 12 inches?
• How much does a carpenter earn in a week if he works 40 hours at $12.30 per hour?
• What formula represents the volume of a cube?
• Which method should be used to solve an equation for the unknown variable?
• A man has $420 left after spending 5/12 of his salary. What is his total salary?
• What is the law represented by a x b = b x a?
• How is the mean of a series of numbers calculated?
• Which formula represents the area of a parallelogram?
• To find the Greatest Common Factor (GCF), what must you do with the integers?
• Which law is associated with the operation a + b = b + a?
• How is the space a solid shape occupies measured?
• What is the value of 4! (factorial)?
• In the context of basic operations, what does "subtraction" typically represent?
• Which term is synonymous with the word "sum"?
• A rectangular garden measures 8 feet by 10 feet. What is the area of the garden?
• Ms. Smith drove 700 miles at 35 miles per gallon. If gas costs $1.25 per gallon, what was her total fuel cost?
• The circumference of a circle is calculated by:
• What is the law that describes (a x b) x c = a x (b x c)?
• What is 10 liters in decaliters?
• If a car travels 300 miles in 5 hours, what is its average speed?
• What is the total weekly pay for a carpenter who earns $12.30 per hour and works 46 hours in a week?
• Which term describes a whole number that can be divided evenly by itself and by 1, as well as by one or more other whole numbers?
• How would you express 9 times some number plus the sum of 5 and y?
• If x = 5, what does 4x - 2 represent?
• How do you convert a decimal into a percentage?
• What does the term 'base' refer to in exponential notation?
• Joe received an hourly wage of $8.15. His boss gave him a 7% raise. How much does Joe make per hour now?
• What type of triangle has two equal sides?
• How would you represent the sum of two consecutive integers starting from x?
• If a painter charges $12 an hour and his son charges $6 an hour, how many hours did they work if their combined charge was $108?
• What is the key process when multiplying mixed numbers?
• What is a variable in mathematical terms?
• A half-pint of cream is what part of a gallon?
• What is the probability of not rolling a five on either die when rolling two six-sided dice?
• What is the value of the expression (a + b) over 4 + (a / b) + c if a = 2, b = 6, c = 10?
• What is the formula to calculate the volume of a cube?
• In a right triangle, what is the longest side called?
• Four people shared a taxi fare of $36 with a tip of 25%. How much did each person pay?
• What is the fourth root of 16?
• Which type of number can be divided evenly by itself and by 1, but not by any other number?
• What is the square root of 54 rounded to the nearest tenth?
• If there are 3 feet in a yard, how many inches are in 1 yard?
• What is the expression for the product of 5 and the sum of x and y?
• If a car needs 16 gallons of gas for a trip and gas costs $2.82 per gallon, what is the total cost for the gas?
• How many kiloliters are in 10 hectoliters?
• How many inches are in 1 foot?
• What is the metric equivalent of 1 gallon in quarts?
• What type of numbers are whole numbers with square roots that are decimals and do not repeat?
• Which law is represented by a(b+c) = ab + ac?
• How many days are in one week?
• What is the term used for the result of a multiplication operation?
• What is the probability that a randomly selected pizza is pepperoni?
• What does the acronym PEMDAS stand for in the order of operations?
• Which operation is unnecessary when converting a decimal to a percentage?
• How many weeks are in 365 days?
• Which type of triangle has one angle greater than 90 degrees?
• What is the conversion of 10 deciliters to liters?
• The cost of an item is $150. If there is a discount of 20%, what is the sale price of the item?
• What is the total cost of a monster truck that requires a $2,000 down payment and a monthly payment of $450 for five years?
• Which clue word can indicate both division and sharing?
• How long of a board should a carpenter buy if she needs to cut four sections, each 3 feet 8 inches long?
• What is a composite number?
• What is the metric equivalent of 1 quart in liters?
• What is the metric equivalent of 8 fluid ounces?
• What is the result of calculating the percent decrease from $60 to $39?
• What is the first step when dividing decimals by powers of 10?
• Which expression represents some number divided by 4?
• In the conversion of a mixed number to an improper fraction, what is done with the whole number?
• How many hectoliters are in 10 decaliters?
• When changing an improper fraction to a mixed number, what do you calculate first?
• What is the speed equivalent of 1 knot in miles per hour?
• What distance in miles is represented by 1 3/4 inches on a map where 3/4 inch represents one mile?
• How many cups are in 1 gallon?
• How many months are there in 2 years?
• How would you express the product of some number and 12?
• What is the Fahrenheit equivalent of 100 degrees Celsius?
• A full circle always equals how many degrees?
• How much does it cost to park for 4 hours at garage (A) and what is the added cost for garage (B) for the same period?
• June's weekly salary is $70 less than Kelly's, who earns $50 more than Eileen, who makes $280 per week. How much does June earn?
• After three hours, how far apart are two trains traveling in opposite directions at speeds of 55 mph and 70 mph?
• What is the measure of the angles in a quadrilateral?
• What is the equivalent of one hectare in acres?
• Which of the following is not one of the basic arithmetic operations?
• How many bits are there in a byte?
• What expression represents an unknown number subtracted from 8?
• The term "factors" in mathematics refers to what?
• What is the total result when adding 25 to 100?
• How many milliliters are in 1 liter?
• What is the equivalent of 1 liter in centiliters?
• If 50% of (x) equals 150, what is 75% of (x)?
• When adding mixed numbers, what is the first operation you should perform?
• How many square meters are in 1 hectare?
• What do we call a quadrilateral that has exactly two sides that are parallel?
• Which example represents the fraction form of 6.1?
• How is 403,000,000,000,000 expressed in scientific notation?
• What is the equation to determine the total amount each person would pay if the fare is split among four people?
• After Brett ate 25% of his jelly beans, he had 72 left. How many did he have originally?
• To convert a fraction to a decimal, what action must be taken?
• What is the term for an angle that measures more than 0 degrees but less than 90 degrees?
• What is the expression for an unknown number increased by 7?
• What is the best option for Michael if he needs to buy 55 gallons of paint at the least cost?
• In the equation 2/3 a - 5 = 9, what is the first step to isolate a?
• How many kiloliters are in 10 hectoliters?
• To subtract two decimals accurately, what must you ensure?
• How many square feet are there in one acre?
• Which property states that the order of addition or multiplication does not affect the sum?
• What is the main purpose of understanding measurement conversions in geometry?
• What is the equivalent of 212 degrees Fahrenheit in Celsius?
• How many gallons of paint does Michael need to paint an apartment building?
• What is the measure of a straight angle?
• How many tablespoons are in 1 gallon?
• If a car travels 1/100 of a kilometer each second, how many kilometers does it travel in one hour?
• What is the metric equivalent of 10 decimeters in meters?
• What term describes the number that appears most frequently in a series of numbers?
• What is the value of the exponent in the expression 2^5?
• What is the reciprocal of 1/2?
• Which identity results in zero when asked about its additive inverse?
• How many miles are equivalent to 1,760 yards?
• What is the term for the negative of a number that results in zero when added to that number?
• How many gallons of gasoline does Ms. Smith require for her 700-mile trip if her car averages 35 miles per gallon?
• How many millimeters are in 1 meter?
• What is the formula used to calculate simple interest?
• What is a quadrilateral called that has opposite sides that are parallel?
• Which of the following operations is used to convert a percentage to a decimal?
• To convert 25% to a fraction, what is the correct form?
• Which type of angle measures more than 90 degrees but less than 180 degrees?
• What is the identity property of addition?
• If a baker has S lbs of sugar and uses 50 lbs, how much is left?
• What is the equivalent of one acre in square miles?
• What sum do supplementary angles equal?
• How many years are there in 1 century?
• What is the term for positive, negative, or zero whole numbers?
• How do you solve x/3 = 12?
• What is the result called when you divide two numbers?
• How many hectares are there in one acre?
• The ratio of 3 1/4 to 5 1/4 is equivalent to which of the following ratios?
• What is the equivalent of 0 degrees Celsius in Fahrenheit?
• What is the solution to the equation y - 4 = 20?
• What does the volume of a cylinder depend on?
• What do you call the factors that two numbers have in common?
• How many feet are in 1 mile?
• Which of the following formulas corresponds to the area of a rectangle?
• How long will it take Jan to type 100 pages if he types at an average rate of 12 pages per hour?
• Jenny's test grades are 93, 89, 96, and 98. If she wishes to raise her average to 95, what does she need to score on her next test?
• Dividing a fraction is the same thing as which of the following?
• If a subway car passes 3 stations every 10 minutes, how many stations will it pass in one hour?
• Which angle type is exactly 90 degrees?
• What is the range of degrees for an acute angle?
• Which of the following terms is a clue word for addition?
• What is defined as a number that can divide another number with no remainder?
• Which shape has opposite sides equal and all angles equal, but is not a square?
• What is the process to change a percentage to a decimal?
• If an office building has 30 employees and provides 42 square feet of workspace per employee, how much less workspace will each employee have after adding 5 more employees?
• How many fluid ounces are in a quart?
• What is the conversion of 10 milliliters to centiliters?
• Which mathematical operation would you perform to find a total result?
• What is the product of 15 and 4?
• Which identity is known to result in the same number when multiplied by any other number?
• In a box containing baseballs and golf balls in a ratio of 2:3, if there are 30 baseballs, how many golf balls are in the box?
• What is the cost of gasoline for a car that travels 336 miles at a rate of 21 miles per gallon if gasoline costs $2.82 per gallon?
• How many quarts are there in 4 quarts?
• In algebra, what does the variable 'D' represent in the formula D = rt?
• When is a number neither prime nor composite?
• What is the term for a mathematical statement that contains an equal sign?
• What is the formula for the area of a rectangle?
• What is the equivalent of 12 months in years?
• How many degrees are in a right angle?
• How many decimeters are in 10 centimeters?
• If Joan shovels a driveway in 50 minutes and Mary in 20 minutes, how long will it take them together?
• What is the solution for a in the equation 2/3 a - 5 = 9?
• What is the approximate value of Pi?
• How do you perform division with fractions?
• When calculating the percent change from $60 to $39, what is the first step?
• If a cat is fed 3/8 pound of cat food every day, how many days will 72 pounds feed the cat?
• In the fraction 37/5, what is the improper fraction derived when it's expressed as a mixed number?
• How many square kilometers are in 1 hectare?
• What are the measures of the angles in a triangle?