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Quadratic Equations PYQs (previous year questions) for CBSE Class 10: Quadratic Equations (Mathematics) had 22 questions across the 40 official CBSE Class 10 papers we tagged (2016–2026), and appeared in 10 of them. Asked in 10 of 10 years. The concepts asked in the most papers: Word Problems on Quadratics, Nature of Roots, Equations Reducible to Quadratic.
Year-wise question count
Asked in 10 of 10 years.
Most-asked concepts
Sorted by the number of papers a concept appeared in.
| Concept | Questions | Papers | Years |
|---|---|---|---|
| Word Problems on Quadratics | 11 | 10 | 2026, 2025, 2024, 2023, 2022, 2020, 2019, 2018, 2017, 2016 |
| Nature of Roots | 6 | 6 | 2024, 2023, 2022, 2019, 2017, 2016 |
| Equations Reducible to Quadratic | 3 | 2 | 2017, 2016 |
| Roots and Coefficients | 1 | 1 | 2017 |
| Roots of Quadratic | 1 | 1 | 2018 |
How to practise Quadratic Equations PYQs
- Start with the concepts at the top of the table. They have come back the most.
- Solve one year’s Quadratic Equations questions from the official PDF against the clock, then check the answer listed below.
- Log every miss as a concept gap, a calculation slip or a misread. Each needs a different fix.
- Once a concept is clean in two papers, move to the next. Then sit a full paper from the year pages.
Questions by year
Each line gives the question number and paper, type, concept, our one-line summary, with a link to the official PDF.
CBSE Class 102026
- Q.33 (Mathematics Standard (30/1/1)) · Long answer · Word Problems on Quadratics: Speeds of two trains from journey time difference PDF
CBSE Class 102025
- Q.34 (Mathematics Standard (30/1/1)) · Long answer · Word Problems on Quadratics: Legs of right triangle from perimeter and hypotenuse PDF
CBSE Class 102024
CBSE Class 102023
CBSE Class 102022
CBSE Class 102020
- Q.29 (Mathematics Standard (30/1/1)) · Short answer · Word Problems on Quadratics: Original flight duration after speed reduction PDF
CBSE Class 102019
CBSE Class 102018
- Q.1 (Mathematics (30/1)) · Very short answer · Roots of Quadratic: Find k given one root of a quadratic PDF
- Q.16 (Mathematics (30/1)) · Short answer · Word Problems on Quadratics: Usual speed of a delayed plane that speeds up PDF
- Q.23 (Mathematics (30/1)) · Long answer · Word Problems on Quadratics: Speed of stream from upstream/downstream time difference PDF
CBSE Class 102017
- Q.5 (Mathematics (30/1)) · Short answer · Roots and Coefficients: Find p when one root is six times the other PDF
- Q.11 (Mathematics (30/1)) · Short answer · Nature of Roots: Prove a quadratic has no real roots when ad is not bc PDF
- Q.21 (Mathematics (30/1)) · Long answer · Equations Reducible to Quadratic: Solve a rational equation in x PDF
- Q.22 (Mathematics (30/1)) · Long answer · Word Problems on Quadratics: Time for each of two taps to fill a tank PDF
CBSE Class 102016
- Q.5 (Mathematics (30/1)) · Short answer · Nature of Roots: Use a given root to find p, then k for equal roots of second equation PDF
- Q.16 (Mathematics (30/1)) · Short answer · Equations Reducible to Quadratic: Solve a rational equation in x leading to a quadratic PDF
- Q.25 (Mathematics (30/1)) · Long answer · Equations Reducible to Quadratic: Solve a rational equation with three fractional terms PDF
- Q.31 (Mathematics (30/1)) · Long answer · Word Problems on Quadratics: Speed of stream from upstream/downstream time difference PDF
Other Mathematics chapters
- Real Numbers PYQs
- Polynomials PYQs
- Pair of Linear Equations in Two Variables PYQs
- Arithmetic Progressions PYQs
- Triangles PYQs
- Coordinate Geometry PYQs
- Introduction to Trigonometry PYQs
- Some Applications of Trigonometry PYQs
- Circles PYQs
- Constructions PYQs
- Areas Related to Circles PYQs
- Surface Areas and Volumes PYQs
- Statistics PYQs
- Probability PYQs
FAQ
How many Quadratic Equations questions come in CBSE Class 10?
In the official papers we tagged: 1 in 2026, 1 in 2025, 2 in 2024, 2 in 2023, 2 in 2022, 1 in 2020, 2 in 2019, 3 in 2018, 4 in 2017 and 4 in 2016. That is 22 questions in all, about 7% of Mathematics.
Which Quadratic Equations topics repeat in CBSE Class 10?
Asked in the most papers: Word Problems on Quadratics, Nature of Roots, Equations Reducible to Quadratic. The concept table lists every one with its count.
Are these official CBSE Class 10 questions?
Yes. Every question is from an official CBSE Class 10 paper hosted on our year pages. The one-line summaries are ours; open the PDF linked beside each question for the full text.