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Class 10 Quadratic Equations worksheet
CBSE Mathematics. Factorisation, quadratic formula, nature of roots; word problems. Every sheet has 20 questions in three sections and an answer key, and the numbers change every time.
Sample questions
Real questions from this chapter, as the app sets them. Tap Answer to see the answer and working.
Section A · multiple choice
- 1.
The roots of x² + 5x − 6 = 0 are:
- −6 and −1
- −1 and 6
- −6 and −5
- −6 and 1
Answer
(d) −6 and 1
(x + 6)(x − 1) = 0
- 2.
The discriminant of 5x² + 5x + 5 = 0 is:
- 125
- 75
- −75
- −95
Answer
(c) −75
b² − 4ac = 25 − 4 × 5 × 5 = −75
- 3.
The roots of x² − 5x + 9 = 0 are:
- real and equal
- always zero
- real and distinct
- not real (no real roots)
Answer
(d) not real (no real roots)
b² − 4ac = −11 < 0
Section B · short answer
- 4.
Solve by factorisation: 2x² + 9x + 10 = 0
Answer
x = −5/2 or x = −2
(x + 2)(2x + 5) = 0
- 5.
Solve using the quadratic formula: 2x² + 8x + 3 = 0
Answer
x = (−4 ± √10)/2
b² − 4ac = 40; x = (−8 ± √40)/4
Section C · long answer
- 6.
The product of two consecutive positive integers is 306. Find them.
Answer
17 and 18
x(x + 1) = 306; x² + x − 306 = 0; x = 17
Fresh sheets for your child
In the app, every Quadratic Equations sheet is new: the app remembers the questions your child has already had and leaves them out. Print the sheet as a PDF, or use notebook mode and write the answers in a notebook.
Coming soon for Android and iPhone.