Mathematics
Word Problems and Applications
Practice questions
A present age is (x) years. The product of the age after (10) years and the age (10) years ago is (1500). What is the present age?A square field has a side length of \(x\) metres. If its side is increased by 12 metres, the area increases by 2448 square metres. What is the original side length \(x\)?The side of a square is \(x\) cm. If reducing the side by 9 cm makes the new area 1681 square cm, what was the original side of the square?When both length and breadth of a rectangle are increased by (10) cm, the area increases by (1520) square cm. If the original length is (22) cm more than the breadth, what is the breadth?The length of a rectangle is 20 m more than its breadth. If the length is increased by 8 m and the breadth by 6 m, the new area becomes 3360 square metres. What was the original breadth of the rectangle?A wire is bent into a square and the area is (3025) square cm. What is the length of the wire?A wire is bent into a rectangle. The length is (30) cm more than the breadth and area is (2800) square cm. What is the length of the wire?A uniform path 5 m wide is built outside a rectangular garden on all four sides. The garden is 60 m long and 42 m wide. What is the total area of the outer rectangle, including the path?A uniform path of width x metres is built around a garden that is 64 metres long and 44 metres wide. The total area of the garden together with the path is 3996 square metres. What is the value of x?A uniform border of width (x) metres surrounds a square field. The side of the square inside the border is 60 metres, while the outer side of the field is 92 metres. What is the width (x) of the border?The length of a rectangular garden is (5\text{ m}) more than its breadth and its area is (300\text{ m}^2). What is the breadth of the garden?A train covers (360\text{ km}). If its speed were (10\text{ km/h}) more, it would take (3\text{ h}) less. What was the original speed?Two pipes together fill a tank in (6\text{ h}). One pipe takes (5\text{ h}) less than the other. In how much time will the faster pipe alone fill the tank?In a class, every student shook hands once with every other student. The total number of handshakes is (190). What is the number of students?The hypotenuse of a right triangle is \(25\text{ cm}\), and one leg is \(5\text{ cm}\) longer than the other. What is the length of the shorter leg?A square field has a (2\text{ m}) wide path around it. The total area including the path is (196\text{ m}^2). What is the side of the field?In a two-digit number, the sum of digits is (11). The product of the digits is (30). What is the larger possible number?A ball is thrown upward with speed (20\text{ m/s}). Its height is (h=20t-5t^2). At what times will it be at height (15\text{ m})?A boat travels (40\text{ km}) downstream and (24\text{ km}) upstream in the same time. The speed in still water is (8\text{ km/h}) more than the speed of the stream. What is the speed of the stream?A rectangle has perimeter (46\text{ cm}) and area (120\text{ cm}^2). What is its length?