Mathematics
Word Problems and Applications
Practice questions
The product of two consecutive positive integers is (72). What is the smaller integer?The product of two consecutive positive integers is (132). What is the larger integer?A rectangle has length (3) cm more than its breadth and area (70) square cm. What is the breadth?A rectangle has breadth (6) m and area (96) square m. If its length is (x) m, which equation is correct?A square garden has area (169) square m. What is its side?A square field has area (225) square m. What is its perimeter?A number multiplied by its next integer gives (56). What is the number?The square of a positive number is (24) more than (5) times the number. What is the number?The square of a positive number is (45) more than (4) times the number. What is the number?The sum of two numbers is (17) and their product is (72). What is the smaller number?The sum of two numbers is (19) and their product is (90). What is the larger number?A rectangle has length (5) m more than its breadth and area (84) square m. What is its length?A rectangle has length (4) cm more than its breadth and area (96) square cm. What is the breadth?A rectangle has length (2) m more than its breadth and area (120) square m. What is the breadth?A rectangle has area (150) square cm. Its length is (5) cm more than its breadth. What is its length?In a right triangle, the smaller leg is (x) cm and the other leg is (x+7) cm. The hypotenuse is (13) cm. What is (x)?The perpendicular sides of a right triangle are \(x\) cm and \((x+1)\) cm, and its hypotenuse is 5 cm. What is the length of the shorter perpendicular side?The legs of a right-angled triangle are \(x\) cm and \(x+2\) cm, and its hypotenuse is 10 cm. What is the positive value of \(x\)?When 3 is added to a number, the square of the resulting number is 100. What is the number when the positive square root is taken?When 4 is subtracted from a number, the square of the result is 81. If the original number is positive, what is the number?