Mathematics
Word Problems and Applications
Practice questions
A farmer fences a rectangular area of (240\text{ m}^2). The length is (4\text{ m}) more than the breadth. What is the total perimeter of the fence?A shopkeeper buys some pens for (₹800). If each pen cost (₹2) less, he would buy (20) more pens. What was the actual price per pen?The sum of the squares of two consecutive positive odd integers is (394). What is the smaller integer?The square of a positive number is 22 more than nine times the number. What is the number?A ladder is \(10\text{ m}\) long, and its foot is \(6\text{ m}\) from a wall. If the foot is moved \(2\text{ m}\) farther away from the wall, how high will the ladder reach on the wall?An exam has (30) questions. A correct answer gives (4) marks and a wrong answer deducts (1) mark. A student attempts all questions and scores (85). How many answers are correct?A rectangular photo has length (7\text{ cm}) more than its breadth. After adding a (1\text{ cm}) wide frame around it, the total area becomes (180\text{ cm}^2). What is the breadth of the photo?A number multiplied by the number (5) more than it gives (204). What is the number?A person travels (150\text{ km}) by car. On return, the speed is (25\text{ km/h}) less and the time is (1\text{ h}) more. What was the onward speed?The diagonal of a rectangle is (17\text{ cm}), and its length is (7\text{ cm}) more than its breadth. What is the area of the rectangle?Two friends together complete a work in (12\text{ days}). The first friend alone takes (10\text{ days}) less than the second. How many days will the first friend alone take?A (3\text{ cm}) wide strip is cut from one side of a square sheet. The remaining rectangle has area (70\text{ cm}^2). What was the side of the original square?A park has length (12\text{ m}) more than its breadth. A (2\text{ m}) wide path runs inside around it, and the area of the path is (184\text{ m}^2). What is the breadth of the park?A book has (n) pages. Numbering the pages uses (272) digits. If (n) is a three-digit number, what is (n)?The difference between the length and breadth of a rectangle is \(9\text{ cm}\), and its area is \(252\text{ cm}^2\). What is the length of the smaller side?When (14) times a number is subtracted from its square, the result is (-45). What is the larger number?A classroom has \(x\) rows, with \(x+3\) students in each row. If there are 180 students in total, how many rows are there?Pipe (A) takes (4\text{ h}) less than pipe (B) to fill a tank. Together they fill it in (4\text{ h}). In how much time will pipe (A) alone fill it?The sum of two positive numbers is (21), and their product is (108). What is the larger number?The length of a rectangular field is (2\text{ m}) less than three times its breadth. Its area is (161\text{ m}^2). What is the breadth?