Mathematics
Word Problems and Applications
Practice questions
The side length of a square is \(x+12\) cm, and its area is \(1764\) square cm. What is the value of \(x\)?The side of a square tile is (x-13) cm, and its area is 1600 square cm. What is the value of (x)?The legs of a right triangle are (x) cm and (x+24) cm and the hypotenuse is (120) cm. What is the smaller leg?The hypotenuse of a right triangle is 145 cm. One leg is 17 cm longer than the other leg. What is the length of the shorter leg?A ladder reaches (80) m up a wall. Its foot is (x) m away from the wall and the ladder length is (x+20) m. What is (x)?A ladder reaches (96) m up a wall. The ladder length is (32) m more than the distance of its foot from the wall. What is that distance?A car covers a distance of 720 km. Its speed is \(x\) km per hour, and the time taken to cover this distance is \((x-72)\) hours. What is the speed of the car?A bus covers a distance of 990 km. Its speed is \(x\) km/h and its travel time is \((x-89)\) hours. How much time will the bus take to cover the distance?A boat goes (154) km downstream. Its speed in still water is (x) km per hour and stream speed is (4) km per hour. If time is (7) hours, what is (x)?The width of a rectangular garden is \(x\) metres, and its length is 5 metres more than its width. If the area of the garden is 84 square metres, which quadratic equation correctly represents the situation for \(x\)?A worker completes (1176) units of work in (x) days by doing (x+14) units daily. What is the number of days?In which of the following situations will the equation formed for the unknown \(x\) be quadratic?A library has 1530 books in total. If the number of shelves is x and each shelf contains (x+21) books, how many shelves are there?In an assembly, there are x rows, with (x+23) chairs in each row. If there are 1674 chairs in total, how many rows are there?A garden has 1408 plants in total. If there are x rows and each row contains (x−12) plants, what is the number of rows?In an examination, the number of students is \(x\), and each student is given \((x-11)\) questions. If the total number of questions given is \(1092\), how many students are there?The product of the numbers that are 6 and 13 more than a number is 1394. What is the original number?The product of the numbers that are 9 less and 16 more than a number is 1650. What is the positive original number?The product of the numbers that are 8 less than and 19 more than a positive number is 2368. What is the original number?The square of a number is 640 more than 24 times the number. What is the positive number?