Mathematics
Word Problems and Applications
Practice questions
The difference between two numbers is (6) and their product is (160). What is the larger number?The difference between two numbers is (8) and their product is (425). What is the smaller number?The length of a rectangular book cover is 3 cm more than its breadth. If the area of the cover is 154 square cm, what is its breadth?A rectangular window has length (5) cm more than its breadth and area (126) square cm. What is its length?A square card has an area of \(361\) square cm. What is the length of one of its sides?A square courtyard has area (400) square m. What is its perimeter?In a school arrangement, there are (x) rows and (x+6) students in each row. There are (187) students in total. How many rows are there?In a book fair, there are (x) stalls and each stall displays (x+1) books. There are (272) books in total. How many stalls are there?A bus has \(x\) rows, with \(x-2\) seats in each row. If there are 224 seats in total, how many rows are there?A garden has \(x\) rows, and each row contains \((x+7)\) flowers. If there are 330 flowers in total, how many rows are there?In an assembly, there are \(x\) rows, and each row has \((x+10)\) chairs. If there are 416 chairs in total, how many rows are there?How many rows did a farmer make for planting trees if he planted 4 more trees in each row than the number of rows, and planted 221 trees in total? Let the number of rows be \(x\), and the number of trees in each row be \(x+4\).A student practised for (x) days and solved (x+3) questions each day. If the student solved a total of 130 questions, for how many days did the student practise?In a drawing, (x) colours were used and (x+5) shapes were made with each colour. A total of (216) shapes were made. What is the number of colours?The square of a number becomes (202) after adding (6). What is the positive value of the number?When (25) is subtracted from the square of a number, the result is (119). What is the positive number?When 39 is added to the square of a number, the result is 208. What is the positive number?A rectangular path has length (18) m more than its breadth and area (648) square m. What is its breadth?A rectangular ground has length (21) m more than its breadth and area (550) square m. What is its length?The legs of a right triangle are (x) cm and (x+8) cm, and the hypotenuse is (40) cm. What is the value of (x)?