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Â Class 10 Situational problems based on quadratic equations. Worksheets

1.

If the price of a book is reduced by Rs. 5, a person can buy 5 more books for Rs. 300. Find the original list price of the book.

2.

The product of Taniya's age 5 years ago and his age 10 years later is 16. Determine Taniya present age.

3.

The perimeter of a rectangular field is 82 m and its area is 400 sq. m. Find the length and breadth of the rectangle.

4.

The length of the sides forming right angle of a right triangle are 5x cm and (3x-1). If the area of the triangle is . Find the hypotenuse.

5.

A train takes 2 hrs less for a journey of 300 km if speed is increased by 5 km/hr from its usual speed. Find the speed of train.

6.

The sum of squares of two consecutive odd number is 394. Find the numbers.

7.

The sum of squares of two consecutive even number is 340. Find the numbers.

8.

The difference of two numbers is 5 and the difference of their reciprocal is 1/10. Find the numbers.

9.

The sum of squares of two consecutive multiples of 7 is 637. Find the multiples.

10.

A motor boat whose speed is 18 km/hr in still water takes 1 hour more to go 24 km upstream than to return downstream to the same spot. Find the speed of the stream.

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