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CBSE Board PYQ |Top 10 Quadratic Equations | Class 10
CBSE Class 10 Math Previous Year Questions / PYQ’s
Most Important Questions for Boards

CBSE Class 10 Maths with this Top 10 Previous Year Questions (PYQ) video.
In this video, we cover the most important and frequently asked quadratic equation questions for CBSE Grade 10 Board Exams, explained step-by-step in a simple and exam-oriented way. You’ll learn how to solve quadratic equations using factorisation and quadratic formula, along with smart tips to avoid common mistakes and score full marks. Perfect for board exam preparation, last-minute revision, and concept clarity.
Watch till the end for exam tricks, solved PYQs, and confidence-boosting practice. 👍

1) Find the discriminant of the quadratic equation 4x2 – 5 = 0 and hence comment on the nature of roots of the equation.
2) Find the roots of the following quadratic equations by the factorisation method.
3x2 + 5√5 x – 10 = 0
3) Express the equation (x -2/ x – 3) + (x – 4/x -5) = 10/3, x is not equals to 3, 5 as a quadratic equation in standard form. Hence, find the roots of the equation so formed.
4) A train travels a distance of 480 km at a uniform speed. If the speed had been 8 km/h less, then it would have taken 3 hours more to cover the same distance. Find the speed of the train.
5) A 2-digit number is seven times the sum of its digits and two more than 5 times the product of its digits. Find the number.
6) The sum of the areas of two squares is 52 sq.cm. and difference of their perimeters is 8 cm. Find the lengths of the sides of the two squares.
7) Two pipes together can fill a tank in 15/8 hr. The pipe with larger diameter takes 2 hours less than the pipe with smaller diameter to fill the tank separately. Find the time in which each pipe can fill the separately.
8) Find the value(s) of p for which the quadratic equation given as
(p +4) x2 – (p + 1) x + 1 = 0 has real and equal roots. Also, find the roots of the equation(s) so obtained.
9) Speed of a boat in still water is 15 𝑘𝑚/ℎ. It goes 30 𝑘𝑚 upstream and returns back at the same point in 4 hours 30 minutes. Find the speed of the stream.
10) Case Study Question

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