Mathematics
Word Problems and Applications
Practice questions
The difference between the square of a number and (12) times the number is (589). What is the positive number?The sum of a number and its square is 342. What is the positive number?The sum of a number and its square is (506). What is the positive number?When 9 is added to a number, the square of the resulting number is 676. Taking the positive square root, what is the original number?When 11 is subtracted from a number, the square of the result is 196. If the original number is positive, what is the number?The legs of a right triangle are (x) cm and (x+12) cm, and the hypotenuse is (60) cm. What is the value of (x)?The lengths of the two legs of a right triangle are x m and (x+9) m, while its hypotenuse is 45 m. What is the length of the shorter leg?A rectangular garden has perimeter (74) m and length (7) m more than breadth. What is the breadth?A rectangular room has perimeter (90) m and length (9) m more than breadth. What is its length?In a school arrangement, there are (x) rows and (x+8) students in each row. There are (425) students in total. How many rows are there?A library has \(x\) racks, with \(x+6\) books in each rack. If the library has a total of \(391\) books, how many racks are there?A bus has x rows, and each row contains x + 5 seats. If the bus has 500 seats in total, how many rows does it have?A garden has \(x\) rows, and each row contains \(x+11\) plants. If there are 702 plants in total, how many rows are there?In an assembly, there are (x) rows and each row has (x+12) chairs. There are (640) chairs in total. What is the number of rows?A student practised for x days and solved x + 7 questions each day. The student solved a total of 408 questions. For how many days did the student practise?In a drawing, (x) colours were used and (x+9) shapes were made with each colour. A total of (700) shapes were made. What is the number of colours?When 71 is added to the square of a number, the result is 512. What is the positive number?When 119 is subtracted from the square of a number, the result is 457. What is the positive number?A square card and a rectangular card have equal area. The side of the square is (18) cm and the breadth of the rectangle is (12) cm. What is the length of the rectangle?A square field has a side length of x metres. Its area is 729 square metres. What is the value of x?