Quadratic Equations: Class 10 Mathematics (ICSE) important questions and practice
Quadratic Equations is chapter 5 of 22 in ICSE Class 10 Mathematics. Below are the topics the paper draws from, the question types that come up again and again, and a free practice test on this chapter alone.
Topics in this chapter
- Standard form ax^2 + bx + c = 0
- Solution by factorisation
- Quadratic formula and discriminant
- Nature of roots: real and distinct, equal, no real roots
- Word problems on speed-time, area, consecutive numbers and ages
What examiners usually ask
- Find the value of k for which 2x^2 + kx + 3 = 0 has equal roots
- Solve for x: 1/(x+4) - 1/(x-7) = 11/30
- A train travels 360 km at a uniform speed; if the speed had been 5 km/h more it would have taken 1 hour less; find the speed
Exam tip
Write the discriminant b^2 - 4ac and its sign before concluding the nature of roots, and in word problems reject the negative or impractical root with a one-line reason to get the final mark.
Quadratic Equations on other boards and exams
Frequently asked questions
What are the important questions from Quadratic Equations for ICSE Class 10?
The question types listed above repeat most often in ICSE Class 10 Mathematics papers for this chapter. Practise them with the chapter test and then attempt them inside a full previous-year paper under time.
Is Quadratic Equations in the ICSE Class 10 Mathematics syllabus?
Yes. Quadratic Equations is part of the current ICSE Class 10 Mathematics syllabus, as listed on this site from the prescribed textbook.
Can I practise Quadratic Equations MCQs in Hindi?
Yes. The chapter test and explanations are available in Hindi and English, with an AI doubt solver for any question.