Mathematics
Word Problems and Applications
Practice questions
The length of a rectangular tile is 4 cm more than its breadth, and its area is 320 square cm. What is the breadth of the tile?The length of a rectangular sheet is 6 cm more than its breadth, and its area is 667 square cm. What is the breadth of the sheet?A number and (15) more than it have sum (53). What is the smaller number?Which situation will form a quadratic equation?If a rectangle has breadth (x) and length (x+10) and area (651), which equation is correct?A garden has \(x\) rows, with \(x-4\) plants in each row. If there are 525 plants in total, how many rows are there?In an exam, (x) students participated and each student got (x+2) questions. A total of (483) question counts were made. What is the number of students?In an age problem, the father's present age is (x) years and the son's present age is (x-30) years. The product of their ages is 175. What is the father's present age?The product of the numbers that are 2 and 3 more than a positive number is 306. What is the original number?The product of the number that is 4 less than a number and the number that is 5 more than it is 360. What is the positive original number?The product of two consecutive positive integers is 156. What is the larger integer?The product of two consecutive positive odd integers is (195). What is the smaller integer?The product of two consecutive positive even integers is 168. What is the larger integer?The sum of a number and its reciprocal is (\frac{5}{2}). What is the larger number?The length of a rectangle is 3 units more than its breadth, and its area is 70 square units. What is the length of the rectangle?The perimeter of a rectangle is (34) and its area is (60). What is the larger side?The area of a rectangle is 96 square units, and its length is 4 units more than its breadth. What is the breadth of the rectangle?The numerical value of the area of a square is 45 more than the numerical value of its perimeter. What is the side length of the square?The sum of two numbers is (15) and their product is (54). What is the larger number?The sum of squares of two positive numbers is (130) and their difference is (2). What is the larger number?