If you multiply a number by ten and then subtract one, the result is divisible by three. But if you add twelve to the number, the result is divisible by eleven. Which of the following could be the number?

As part of their finale, each of the 18 members of a juggling troupe is juggling either six or seven balls. Altogether, the troupe is juggling 120 balls. How many members are juggling exactly seven balls?

The sum of two numbers is 44, and their difference is 4. What is the product of these two numbers?

Bob lives 24 miles North of his office and 10 miles East of the university he attends. How far apart are the office and the university?

The expression “seven times the difference of four and a number” is equivalent to which of the following?

If Sheila had one more dollar, Eileen would have three times as much money as Sheila does. And if Eileen had six dollars more, she would have four times as much money as Sheila. How much money do they have altogether?

David sells d boxes of cookies, Tyrone sells three times as many boxes as David, and Kendall sells half as many boxes as Tyrone. How many boxes did they sell altogether?

Two cars leave from the same starting point at the same time on a straight road heading West. The faster car is traveling at 60 miles per hour, and after two and a half hours, it’s 40 miles ahead of the slower car. What is the speed of the slower car?

Xavier left his office and drove 75 miles south for his first appointment of the day. After that, he drove east for 40 miles for a second appointment. To finish up, he took a direct route back to his office. How much distance did he cover altogether?

Six added to the product of a number n and two is equal to five less than the product of n and three. Which of the following is true of n?

Marion is reading a book for a report. So far, she has read half the book plus 10 pages. When she reads another 35 pages, she’ll be finished with of the book. What is the total length of the book?

The sum of two numbers x and y is 30, and the quotient of x and y is 4. What is the difference of x and y?

Tracy’s age in whole years is three times greater than the age of his sister, Maxine. In three years, Maxine’s age will be of Tracy’s age. How much older is Tracy than Maxine?

Stephanie set a goal of running a certain number of laps on a track in four days. She completed of her goal on Monday and completed another of her goal on Tuesday. Then she completed her goal by running an equal number of laps on both Wednesday and Thursday. If her goal was to run 24 laps, how many laps did she run on Thursday?

Coltonville is located due north of Bellemeade and exactly 80 miles east of Ramsay. If Ramsay is 100 miles from Bellemeade, what is the distance from Coltonville to Bellemeade?

Angel has half as much money as his older sister and three times as much money as his younger brother. Altogether, the three children have $230. How many dollars does Angel have?

Eight minus the product of seven and a positive number is equal to the same number multiplied by itself. What is the number?

At 10:00 a.m., two boats leave a port headed in opposite directions, one traveling 5 miles per hour faster than the other. At noon, the boats are 44 miles apart. What is the speed of the faster boat in miles per hour?

The product of two positive numbers is 27 more than their sum. If the greater number minus the smaller number equals 3, what is the smaller number?

Roger had three times more money than Stephen at the beginning of the day. They each earned $200, and now Roger has twice as much money as Stephen. How many dollars do they both have together now?