Mathematics
Word Problems and Applications
Practice questions
Multiplying a positive integer by its next integer gives 210. What is the integer?When (11) is subtracted from the square of a number, the result is (85). What is the positive number?A ladder is 13 metres long. The distance of its foot from the wall is 7 metres less than the height it reaches on the wall. What is the height reached on the wall?The hypotenuse of a right triangle is 17 units, and one leg is 7 units longer than the other. What is the length of the shorter leg?The length of a rectangular garden is 8 units more than its breadth, and its area is 240 square units. What is the breadth of the garden?The area of a rectangle is \(180\) square units, and its length is \(3\) times its breadth. What is the breadth?An item sold at (₹x) gives total revenue (x(50-x)). If the total revenue is (600), what is the larger value of (x)?A farmer makes a rectangular field with an area of 200 square metres. The length of the field is 5 metres more than its breadth. What is the length of the field?A train covers a distance of 300 kilometres. If its speed is increased by 10 kilometres per hour, the travel time decreases by 1 hour. What was the original speed of the train?A person travels a distance of 240 kilometres. If the speed is reduced by 20 kilometres per hour, the journey takes 2 hours longer. What was the person's original speed?A boat moves at (15) kilometres per hour in still water. The stream speed is (x). It takes (4) hours to go (36) kilometres downstream and (24) kilometres upstream. What is (x)?A person distributed (₹1200) equally among some students. If there were (5) more students, each would get (₹8) less. What was the original number of students?₹900 was distributed equally among the students in a class. If there had been 6 fewer students, each student would have received ₹5 more. What was the original number of students?A father's present age is 30 years more than his son's present age. After 5 years, the product of their ages will be 1375. What is the son's present age?The sum of the ages of two friends is 40 years, and their product is 375 years². What is the age of the older friend?In three consecutive positive integers, the product of the first and the third is (143). What is the middle integer?In three consecutive even integers, the product of the first and the third is (320). What is the middle even integer?The diagonal of a rectangle is 13 units long, and its length is 7 units more than its breadth. What is the breadth of the rectangle?A square park has area (144). If its side is increased by (3), what will be the new area?The square of a number is 24 more than 10 times the number. What is the positive number?