Arithmetic Reasoning
Word problems that require setting up and solving basic arithmetic operations.
~36m
Practice this sectionPractice Questions
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A baker sells a dozen donuts for $3.99. The cost to make three donuts is $0.45. How much is the total profit on 5-dozen donuts?
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Your piggy bank contains $19.75 in dimes and quarters. There are 100 coins in all. How many dimes are there?
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A bricklayer charges $8 per square foot to lay a patio. How much would it cost for the bricklayer to lay a 12- foot-x-16-foot patio?
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Terry earns three times more per hour than Tim. Tim earns $2 more per hour than Angie. As a group they earn $43 per hour. What's Angie's hourly wage?
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If 4 people can run 8 machines, how many machines can 2 people run? http://www.gratisexam.com/
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The price of daily admission at an amusement park is $36. The park sells an unlimited season pass for $240. How many trips would you need to make with the season ticket in order for it tC. st less than paying the daily admission rate?
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A plumber needs four lengths of pipe, each 3-feet, 6-inches long. Pipes are sold by the foot. How many feet does he need to buy?
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The product of twC. nsecutive odd numbers is 399. What are the numbers?
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A personal trainer earns a 65% commission on her training sales. If she sells $530.00 worth of training, how much commission does she make?
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A rectangle is one inch longer than it is wide. Its diameter is five inches. What's the width of the rectangle?
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A treasure map is drawn to a scale of 2 inches = 3 miles. On the map, the distance between Point A and Xmarks-the-spot is 91/2 inches. How many actual miles does this represent?
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A painter has painted a picture on a piece of canvas that measures 10 x 14 inches. In order to accommodate a frame, he has left an un-painted margin of 1 inch all the way around. What part of the canvas has been painted?
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A dog trainer is building a dog run that measures 9 x 16 feet. If she wants to fence the perimeter of the run, how many feet of chain link fence will she need?
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A rectangle is 11/2 times as long as it is wide. The perimeter of the rectangle is 100 inches. What's the length of the rectangle?
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Miguel passed seven of his history-class quizzes and failed three. The fraction of quizzes he passed is correctly expressed as:
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A 3-yard-long ribbon was used to trim four dresses. Each dress used the same amount of ribbon. How much ribbon was used for each dress?
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Sarah found a wallet containing $500 in the street. She returned the wallet to its owner, who gave her a $30 reward. What percentage of the $500 was the reward?
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A bin of bolts at the hardware store contains 7-dozen bolts when full. The stock clerk is supposed to reorder bolts when the bin is 1/6 full. How many bolts are in the bin when it's time to reorder?
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Two bicyclists head toward each other from the opposite ends of Main Street, which is six miles long. The first biker started at 2:05 going 12 mph. The second biker began peddling 4 minutes later at a rate of 14 mph. What time will they meet?
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A recipe calls for 8 ounces of black beans or red beans. The cheapest option to buy and use would be:
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A street vendor sells $25.70 worth of pretzels on Friday, $32.30 on Saturday, and $31.80 on Sunday. He spends a fourth of the money over the weekend. How much money does he have left?
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A recruit has $30.00. He saw some camouflage socks for $3.95 a pair. How many pairs of socks can he buy?
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A crate containing a puppy weighs 60 pounds, 5 ounces. The puppy weighs 43 pounds, 7 ounces. How much does the crate alone weigh?
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In a manufacturing plant that produces new computers, a 0.15 probability exists that a computer will be defective. If five computers are manufactured, what's the probability that all of them will be defective?
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A house contains one 12-foot-x-14-foot bedroom, one 12-foot-x-10-foot bedroom, and one 8-foot-x- 12-foot bedroom. What's the total amount of carpeting needed to carpet all three bedrooms?
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Rafael can type 9 pages an hour. How long will it take him to type 126 pages?
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In a 60-minute gym class, 40 girls want to play volleyball, but only 10 can play at a time. For each player to get the same amount of playing time, how many minutes should each person play?
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The video-rental store charges $2.00 for the first day a rented video is overdue and $1.25 for each day after that. If a person paid $8.25 in late fees, how many days was the video overdue?
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Janet is trying to watch her weight. A 1/2 cup of pudding has 150 calories. The same amount of broccoli has 60 calories. How much broccoli can Janet eat to equal the same number of calories in the 1/2 cup of pudding?
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The neighbor's dog barks at a squirrel every 15 minutes at night. If he first barks at 10 p.m., when you're trying to fall asleep, how many times will he bark by 2 a.m., when you give up trying to sleep and decide to read a book instead?
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If a barber is capable of cutting the hair of 35 people per day, and he works 7 days per week, how many haircuts could he give during the months of April, May, and June?
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If you typed 45 words per minute, how many words would you be able to type in 12 minutes?
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Tom is flying a kite at the end of a 500-foot string. His friend Kathy is standing directly under the kite 300 feet away from Tom. How high is the kite flying?
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Amy wants to fence in a yard using 400 feet of fencing. If she wants the yard to be 30-feet wide, how long will it be?
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A three-digit code must be used to access a computer file. The first digit must be an A or a B. The second digit must be a number between 0 and 9. The final digit is a single letter from the alphabet from A to Z. How many possible access codes can there be?
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The sun is 93 million miles from Earth and light travels at a rate of 186,000 miles per second. How long does it take for light from the sun to reach the Earth?
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A tanning-bed pass for unlimited tanning costs $53 per month this year, but it was only $50 per month last year. What was the percentage of increase?
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Eleven plus forty-one is divided by a number. If the result is 13, what's the number?
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Mark received an hourly wage of $9.25. His boss gave him a 4% raise. How much does Mark make per hour now?
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How many pounds of nails costing $7 per pound must be mixed with 6 pounds of nails costing $3 per pound to yield a mixture costing $4 per pound?
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Theodore has 20 baseball cards. He sells 1/4 of his cards to Tom, 1/3 of his cards to Larry, and his Mom accidentally throws away 1/6 of his cards. How many baseball cards does Theodore have left?
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Theresa bought 5 karaoke CDs on sale. A karaoke CD normally costs $24, but she was able to purchase the CDs for $22.50 each. How much money did Theresa save on her entire purchase?
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On a trip to the beach you travel 200 miles in 300 minutes. How fast did you travel?
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21 students, or 60% of the class, passed the final exam. How many students are in the class?
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Joan invests $4,000 in an account that earns 3% simple interest. How much will Joan have in the account in 10 years?
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A rectangle has a perimeter of 36 inches. It's length is 3 inches greater than twice the width. What's the rectangle's length?
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A back yard is 50 feet by 100 feet. What's its area?
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Eric is driving a car in which the speedometer is calibrated in kilometers per hour (kph). He notes that his car is traveling at a rate of 75 kph, when he passes a speed limit sign stating the limit is 40 miles per hour (mph). He knows that a kilometer is about 5/8 of a mile. If a police officer stops him at this point, how many mph over the limit will the ticket read?
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Three apples and twice as many pears add up to one-half the number of grapes in a fruit basket. How many grapes are in the basket?
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Apples are on sale for "Buy 2 get 1 free." How many pounds must Janet purchase to get 2 pounds free?
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If 4 pipes of equal length measure 44 feet when they're connected together, how long is each pipe?
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A German shepherd and an Alaskan Malamute are both headed toward the same fire hydrant. The German Shepherd is 120 feet away from the hydrant and the Alaskan Malamute is 75 feet away from the hydrant. How much closer to the hydrant is the Alaskan Malamute?
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A recruit reporting to boot camp took a bus from her home to the military processing center in another city. The trip took 14 hours. If she left at 6 a.m., what time did she arrive at the processing center?
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A farmer sold 3 pints of strawberries for $1.98 each, 5 pints of raspberries for $2.49 each, and a bushel of peaches for $5.50 at his roadside stand. How much money did the farmer make?
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A librarian wants to shelve 532 books. If 4 books fit on a 1-foot length of shelving, how many feet of shelving does she need to shelve all the books?
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A student buys a science textbook for $18.00, a math textbook for $14.50, and a dictionary for $9.95. What's the total cost of the books?
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Debra works an 8-hour shift on Friday. How many minutes does she work on Friday?
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Six people can run 3 machines in the factory. How many machines can 18 people run?
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On a map drawn to scale, 1/2 inch equals 1 mile. What length on the map equals 5 miles?
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A man bought a pair of jeans for $23.00, a shirt for $14.95, and two ties for $7.98 each. What was the total cost of his clothing?
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A rectangular block of brown metal folding chairs is set up on the floor of Reed Arena for the annual freshman convocation. The block of seats has x rows, withy folding chairs in each row. How many folding chairs are there on the floor of the arena?
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Jolie wants to get a new car before her second year of college. The sticker price of the kind of car she wants went up from $22,399 last year to $23,999 for this year's model. What percentage did the price increase?
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During his senior year a high school football wide receiver was thrown 82 passes and caught 57 of them. What is his reception percentage (what percentage of the passes thrown to him did he catch)?
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Amanda has a 20-year term life insurance policy for $100,000. The annual premium is $ 12.00 per thousand. How much is her total premium payment every six months?
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If two pounds of salmon cost $13.98, what is the cost of five ounces of the same brand of salmon?
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If five SUV tires and four rims cost $1,730 and each rim costs $120, what is the cost of one tire?
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Calculate the volume of a semi truck trailer that is 23 feet long, 15 feet wide, and 11 feet high.
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A college student spent $119 on tickets for family and friends to a sporting event. If tickets were $7 and $10, and she bought an equal number of both kinds of tickets, how many $7 tickets did she buy?
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Amanda earns an average of $22 an hour in tips as a waitress at the best steak restaurant in town. If her hourly wage is $2.50 and she has to pay a 10% tip share to the hostesses and busboys, how much does she take home at the end of a day when she worked from 10:00 a.m. to 5:00 p.m.?
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During Friday night's high school performance of the play Seven Brides for Seven Brothers, 76% of the seats in the performing arts center (with a seating capacity of 500 people) were occupied, and threequarters of those attending were parents. How many high school students attended the play?
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Jonathan spent four hours doing calculus problems, one hour playing Web-based video games, half an hour talking to his girlfriend, and two hours lifting weights and exercising. What percentage of his time was spent on math problems?
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Mrs. H.B. found a display model of a notebook computer to use for her business for $1,400, including software. However, since the model had been discontinued and the display had no packaging material or instructions, the store manager discounted the price to $1,150. What was the percentage of the reduction?
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Heather bought a rectangular Persian rug with an outer perimeter measurement of 45 feet. If the long sides measure 15 feet each, how long is each short side of the rug?
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In the circulation department of a city newspaper, four customer service representatives each receive $320 a week, while two assistant managers earn $12 an hour each plus an average $100 per day commission. What is the average total weekly compensation paid to these six employees for a five-day, 40-hour work week?
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A commercial truck driver drives x miles the first day, y miles the second day, and z miles the third day. What is the average number of miles driven per day?
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If a train can travel 500 miles in five hours, how far can it travel in 15 minutes?
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An employee of a chocolate factory earns $7.20 an hour. She is paid time and a half for overtime beyond a 40-hour week. How much will she earn in a week in which she works 43 hours?
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A man died suddenly from a heart attack brought on by too much work and not enough exercise. Upon his death, his life insurance policies paid $750,000 to his wife and three children. The policies were set up to pay the wife and children in the ratio of 5:1:1:1. How much did the three children receive altogether?
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B Company ("Bulldogs"), 3rd Battalion, 144th Infantry, is authorized a total of 131 soldiers. However, Bulldog Company only has 125 total soldiers and officers assigned. Of those assigned, four percent are officers. How many enlisted soldiers are assigned to the company?
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A technology reseller purchasing agent procured 20 mid-brand DVD players for the listed wholesale price of $80 each, but receives a 25% discount because he is an established customer and friend of the wholesale dealer. His store then sells these DVD players at a 20% markup above the original wholesale price. What is the store's profit margin on each DVD player?
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A special-purpose cartographer (mapmaker) receives an order requiring a customized map with a scale of one inch = 50 miles. If the actual straight-line ground distance between two points is 120 miles, how far apart should the cartographer show them on the map?
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In Hendricks on Township, houses are assessed at 80% of the purchase price. If Mr. Thomas buys a house in Hendricks on for $120,000 and rea estate taxes are $4.75 per $100 of assessed valuation, how much property tax must he pay per year?
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The fuel tank of a gasoline generator holds enough fuel to operate the generator for one hour and 15 minutes. About how many times must the fuel tank be filled to run the generator from 6:15 p.m. to 7:00
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When Highway 2011 was converted from toll-free to a toll road, the traffic density per day declined from 11,200 vehicles to 10,044. What was the percentage decline in traffic?
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June drove for two hours at an average speed of 70 miles per hour, then drove another 90 minutes at an average speed of 65 miles per hour. If her vehicle gets 25 miles per gallon on the highway in this speed range, about how many gallons of gas did she use for the trip?
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Jonathan earns $350 before taxes every two weeks at his part-time job His withholdings are $27.75 for federal income taxes, $5.65 for Social Security (FICA), and $12.87 for Medicare tax. How much will his net paycheck be?
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A training certificate composed on a personal computer that was designed to be nine inches long and six inches wide has to be proportionately enlarged so that its length will be 12 inches. How many inches wide will the enlarged certificate be?
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A basketball team won 70% of the 40 games it played. How many games did it lose?
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The two members of Hoosiephaffer LLC, a limited liability company, operate their business such that it shows a profit for the year of $63,000. Their LLC operating agreement calls for them to share the profits in the ratio 5:4. How much of the profit should go to the member who gets the larger share?
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A corporate purchaser paid $17.16 for an item that had recently been increased in price by the wholesaler by four percent. What was the price of the item before the increase?
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A fire team is made up of four junior enlisted men and one noncommissioned officer as the team leader. A group of 64 privates fresh from basic training is to be divided into fire teams. How many team leaders will be needed?
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A man working a part-time job earns $350.00 per week. His weekly check has $27.75 withheld for federal income taxes, $5.65 for FICA, and $ 12.87 for state income taxes. How much will his net pay for the week be?
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Temperature readings on a certain day ranged from a low of-4*F to a high of 16*F. What was the average temperature for the day?
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On a particular scale drawing, 1/4 inch represents 1 foot 1 low long would a line on the drawing have to be to represent a length of 3V£ feet?
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An automobile manufacturer offers a 15% rebate on the list price of a new car. What would be the rebate on a car that lists for $13,620?
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The price of gasoline rose from $3.90 to $4.08 per gallon. What was percentage of increase?
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A team won 70% of the 40 games it played. How many games did the team lose?
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A flight is scheduled for departure at 3:50 P.M. If the flight takes 2 hours and 55 minutes, at what time is it scheduled to arrive at its destination?
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How many 4-ounce candy bars are there in a 3-pound package of candy?
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In a restaurant, a diner orders an entree with vegetables for $10.50, dessert for $1.50, and coffee for $0.50. If the tax on meals is 6%, what tax should be added to his check?
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A 55-gallon drum of oil is going to be used to fill cans that hold 2 quarts each. How many cans can be filled from the drum?
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In a factory that makes wooden spindles, a lathe operator takes 45 minutes to do the finishing work on nine spindles. How many hours will it take him to finish 96 spindles at the same rate?
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A triangle has two equal sides. The third side has a length of 13 feet, 2 inches. If the perimeter of the triangle is 40 feet, what is the length of one of the equal sides?
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A lawn is 21 feet wide and 39 feet long. How much will it cost to weed and feed it if a gardening service charges $0.40 per square yard for this treatment?
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A bonded courier drove for 7 hours on back roads at an average speed of 48 miles per hour. Her car gets 21 miles per gallon of gas. How many gallons of gas did she use?
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Two partners operate a business that shows a yearly profit of $63,000. Their partnership agreement calls for them to share the profits in the ratio 5:4. How much of the profit should go to the partner who gets the larger share?
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A purchaser paid $17.16 for an article that had recently been increased price by 4%. What was the price of the article before the increase?
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A tree 36 feet high casts a shadow 8 feet long. At the same time, another tree casts a shadow 6 feet long. How tall is the second tree?
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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?
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A waitress earns an average tip of 12% of the cost of the food she serves. If she serves $375 worth of food in one evening, how much money in tips will she earn on average?
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How many square feet of carpeting are needed to carpet a 12-foot x 12-foot room?
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Carpet stain protector costs $0.65 per square yard to apply. How much will it cost to apply the protectant to a 16-foot x 18-foot carpet?
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A printing plant that produces baseball cards has a monthly overhead of $6,000. It costs 18 cents to print each card, and the cards sell for 30 cents each. How many cards must the printing plant sell each month in order to make a profit?
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Joe received an hourly wage of $8.15. His boss gave him a 7% raise. How much does Joe make per hour now?
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In a clothing factory, 5 workers finish production of 6 garments each per day, 3 others turn out 4 garments each per day, and 1 worker turns out 12 per day. What is the average number of garments produced per worker per day?
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A man makes a 255-mile trip by car. He drives the first 2 hours at 45 miles per hour. At what speed must he then travel for the remainder of the trip in order to arrive at his destination 5 hours after he started?
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A contractor bids $300,000 as her price for erecting a building. She estimates that 1/10 of this amount will be spent for masonry materials and labor, 1/3 for lumber and carpentry, 1/5 for plumbing and heating, and 1/6 for electrical and lighting work. The balance will be her profit. How much profit does she expect to make?
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The list price of a TV set is $325, but the retailer offers successive discounts of 20% and 30%. What price does a customer actually pay?
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A certain brand of motor oil is regularly sold at a price of two cans holding a quart each for $1.99. On a special sale, a carton containing six quart cans is sold for $5.43. What is the saving per quart if the oil is bought at the special sale price?
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A worker earns $7.20 an hour. She is paid time and a half for overtime beyond a 40-hour week. How much will she earn in a week in which she works 43 hours?
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A company spends 3/5 of its advertising budget on newspaper ads and 1/3 on radiC. mmercials. What portion of the advertising budget is left for TV commercials?
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A digital video recorder is programmed to record a TV show that lasts for a half hour. If the digital video recorder has enough memory left to hold 180 minutes of recording, what percentage of the remaining capacity is used for this recording?
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We bought 5 pounds of cashew nuts worth $1.80 per pound, mixed with 4 pounds of peanuts worth $1.62 per pound. What is the value per pound of the mixture?
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A wall is 7 feet 8 inches in height; four vertical pieces of wallpaper are needed tC. ver the wall. Assuming there is no waste, what is the minimum length that a roll of wallpaper must be tC. ver the wall?
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A night watchman is required to check in every 40 minutes while making his rounds, t lis tour of duty extends from 9:00 p.m. to 5:00 A.M If he checks in at the start of his rounds and also when lie finishes, how many times does he check in during the night?
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If a car is towed 12 miles to the repair shop, and the tow charge is $3.50 per mile, how much did the tow cost?
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The sum of two numbers is 70. One number is 8 more than the other. What's the smaller number?
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A sales manager buys antacid in bottles by the gross. If he goes through 3 bottles of antacid every day, how long will the gross last?
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Darla spent $120.37 on groceries in January, $108.45 in February, and $114.86 in March. What was the average monthly cost of Darla's groceries?
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Keith is driving from Reno to Kansas City to meet his girlfriend. The distance between the two cities is 1,650 miles. If Keith can average 50 miles per hour, how many hours will it take him tC. mplete his trip?
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Michael needs 55 gallons of paint to paint an apartment building. He would like to purchase the paint for the least amount of money possible. Which of the following should he buy?
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As a member of FEMA, you're required to set up a contingency plan to supply meals to residents of a town devastated by a tornado. A breakfast ration weighs 12 ounces and the lunch and dinner rations weigh 18 ounces each. Assuming a food truck can carry 3 tons and that each resident will receive 3 meals per day, how many residents can you feed from one truck during a 10-day period?
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A baker made 20 pies. A Boy Scout troop buys one-fourth of his pies, a preschool teacher buys one- third of his pies, and a caterer buys one-sixth of his pies. How many pies does the baker have left?
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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?
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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 tC. mplete a circuit around the building, assuming he doesn't run into any thieves?
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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 council originally predicted the city's population would grow by:
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Joan is taking an admissions examination. If she has to get at least 40 of the 60 questions right to pass, what percent of the questions does she need to answer correctly?
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A teacher deposited $3,000 in a retirement fund. If she didn't add any more money to the fund, which earns an annual interest rate of 6%, how much money would she have in 1 year?
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The high-school track measures one quarter of a mile around. How many laps would you have to run in order to run three and a half miles?
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Karl is driving in Austria, where the speed limit is posted in kilometers per hour. The car's speedometer shows that he's traveling at a rate of 75 kilometers per hour. Karl knows that a kilometer is about 5/8 of a mile. Approximately how many miles per hour is Karl traveling?
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A carpenter earns $12.30 an hour for a 40-hour week. His overtime pay is 11/2 times his base pay. If he puts in a 46-hour week, how much is his weekly pay?
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An office building has 30 employees and allows 42 square feet of work space per employee. If five more employees are hired, how much less work space wills each employee have?
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Stan bought a monster truck for $2,000 down and payments of $450 a month for five years. What's the total cost of the monster truck?
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A train headed south for Wichita left the station at the same time a train headed north for Des Moines left the same station. The train headed for Wichita traveled at 55 miles per hour. The train headed for Des Moines traveled at 70 miles per hour. How many miles apart were the trains at the end of 3 hours?
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A carpenter needs to cut four sections, each 3-feet 8-inches long, from a piece of molding. If the board is only sold by the foot, what's the shortest length of board she can buy?
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Kiya had a coupon for 10% off one frozen turkey breast. The turkey breasts cost $8.50 each, and Kiya bought two. How much did she pay?
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A recruiter travels 1,100 miles during a 40- hour workweek. If she spends 2/5 of her time traveling, how many hours does she spend traveling?
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Your car uses gasoline at the rate of 21 miles per gallon. If gasoline costs $2.82 per gallon, and you drive for 7 hours at a speed of 48 miles per hour, how much will you pay for gasoline for the trip?
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The cost of a protein bar increased from $2.50 to $2.80. The percent increase to the $2.80 rate was how much?
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An aircraft flies over Boondock Air Force Base at 10:20 a.m. At 10:32 a.m., the plane passes over Sea Side Naval Air Station, 120 miles away. How fast is the aircraft traveling?
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Last year, Margot grew 50 bushels of corn in her backyard. This year, the yield has increased 8%. How many bushels of corn did Margot grow this year?
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Junior has saved money in his piggybank over the winter. He wants to buy a $30 computer game. If he has 14 one-dollar bills, 16 half dollars, 12 quarters, 8 dimes, 25 nickels, and 10 pennies, how much more does he need to borrow from Dad to buy the game?
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Debbie receives a weekly salary of $80, plus a 5% commission on any sales. During the week, she has $800 in total sales. What's the ratio of her commission to her salary?
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A balloonist circumnavigated the globe in 13 days, 12 hours, 16 minutes, and 13 seconds. A plane circumnavigates the globe in 4 days, 10 hours, 15 minutes, and 7 seconds. How much longer did it take for the balloon to go around the world?
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Darlene bought 12 boxes of cookies for $48.00. What was the cost of each box of cookies?
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A tune-up increases a car's fuel efficiency by 5%. If a car averaged 20 miles per gallon before the tune- up, how many miles per gallon will it average after the tune-up?
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A lumberjack wishes to drive a spike through the center of a tree with a circumference of 43.96 feet. What's the minimum length of the spike needed to gC. mpletely through the tree, passing through the center?
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A bin of hard candy holds 101/2 pounds. How many 3/4-pound boxes of candy can be filled from the bin?
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A patio measures 12 feet by 14 feet. How many 8-inch-square paving stones are needed to pave the patio?
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A computer programmer is making $25,000 per year. 28% of her salary is withheld for federal and state deductions. How much is the computer programmer's net pay?
Hard - View question →
Pam cuts a pie in half in a straight line. She then cuts a line from the center to the edge, creating a 55- degree angle. What's the supplement of that angle?
Medium - View question →
A stack of lumber is 6-feet high. If each piece of lumber is 4-inches thick, how many pieces of lumber are in the stack?
Hard