CBSE Class 10 Mathematics Basic Previous Year Question Papers (2022–2025)
Download every CBSE Class 10 Mathematics Basic board paper from 2022–2025 as a free PDF, with the official CBSE marking scheme. Or practise all 289 questions online, one by one, with answers (166 have marking-scheme solutions).
Class 10 Mathematics Basic board papers with marking schemes
Two sets per year from different CBSE regions. Question papers are published by CBSE; click a PDF to download it free.
| Paper | Questions | Free download | Answers | Online |
|---|---|---|---|---|
| Board exam 2025 · Set 430/1/1 | 38 | Question paper PDF | Marking scheme PDF | Practise online |
| Board exam 2025 · Set 430/2/1 | 38 | Question paper PDF | Marking scheme PDF | Practise online |
| Board exam 2024 · Set 430/1/1 | 36 | Question paper PDF | Marking scheme PDF | Practise online |
| Board exam 2024 · Set 430/2/1 | 38 | Question paper PDF | Marking scheme PDF | Practise online |
| Board exam 2023 · Set 430/1/1 | 38 | Question paper PDF | Marking scheme PDF | Practise online |
| Board exam 2023 · Set 430/2/1 | 38 | Question paper PDF | Marking scheme PDF | Practise online |
| Board exam 2022 · Set 430/1/1 · Term 2 | 14 | Question paper PDF | Marking scheme PDF | Practise online |
| Board exam 2022 · Set 430/2/1 · Term 2 | 13 | Question paper PDF | Marking scheme PDF | Practise online |
Class 10 Mathematics Basic sample paper 2026-27
CBSE released the 2026-27 Sample Question Paper on 21 September 2026 and confirmed there is no change in the question paper design for 2026-27. Practise it first: it shows exactly how your board paper will look.
| Paper | Questions | Free download | Answers | Online |
|---|---|---|---|---|
| Sample paper 2026-27 | 36 | Question paper PDF | Marking scheme PDF | Practise online |
Chapter-wise weightage (from 6 board papers)
Average marks each chapter carried per board paper. Start revision with the chapters at the top.
| Chapter | Share | Avg. marks per paper |
|---|---|---|
| Trigonometry | 14.7 | |
| Circles | 8.7 | |
| Statistics | 8.0 | |
| Probability | 6.3 | |
| Surface Areas & Volumes | 5.7 | |
| Real Numbers | 4.3 | |
| Quadratic Equations | 4.2 | |
| Polynomials | 4.0 | |
| Heights & Distances | 3.5 | |
| Coordinate Geometry | 3.3 | |
| Pair of Linear Equations | 3.0 | |
| Arithmetic Progressions | 2.2 | |
| Areas Related to Circles | 1.7 | |
| Triangles | 1.3 |
Most repeated Mathematics Basic questions in CBSE board exams
These questions (or near-identical ones) appeared in more than one board exam year.
- Assertion (A): A tangent to a circle is perpendicular to the radius through the point of contact. Reason (R) : The lengths of tangents drawn from the external point to a circle are equal. Page 11 430/1/1 P.T.O. 20. (A)· …
Asked in 2022, 2023, 2024, 2025Trigonometry1 mark - From a point P, two tangents PQ and PR are drawn to a circle with centre at O. T is a point on the major arc QR of the circle. If QPR = 50 , then QTR equals : (a) 50 (b) 130 (c) 65 (d) 90
Asked in 2022, 2023, 2024, 2025Circles1 mark - 0/2/1/DA2AB/21 Page 5 P.T.O. 6. If sin A = 5 3 , then value of cot A is : 1 (A) 4 3 (B) 3 4 (C) 5 4 (D) 4 5 430/2/1/DA2AB/21 Page 6 7. A cot 1 A tan 1 2 2 + + 1 (A) sec2 A (B) –1 (C) cot2 A (D) tan2 A 8. 2 tan…
Asked in 2022, 2023, 2024, 2025Trigonometry1 mark - In the given figure, tangents PA and PB from a point P to a circle with centre O are inclined to each other at an angle of 80°. ÐABO is equal to 1 (A) 40° (B) 80° (C) 100° (D) 50°
Asked in 2022, 2023, 2024, 2025Circles1 mark - A wooden article was made by scooping out a hemisphere (of same diameter) from one end of a solid cylinder as shown in the given figure. If the height of the cylinder is 10 cm and the diameter of the cylinder is 14 cm, f…
Asked in 2022, 2023, 2024, 2025Surface Areas & Volumes5 marks - If ·, · are zeroes of the quadratic polynomial x2 + 3x + 2, find a quadratic polynomial whose zeroes are · + 1, · + 1.
Asked in 2022, 2023, 2024, 2025Polynomials3 marks - (a) Find the nature of the roots of the quadratic equation x2 5x + 9 = 0. 2 OR (b) Write a quadratic equation with roots 3 and 5.
Asked in 2022, 2023, 2024, 2025Quadratic Equations1 mark - Find the nature of the roots of the quadratic equation : 4x2 - 5x - 1 =
Asked in 2022, 2023, 2024, 2025Quadratic Equations1 mark
Class 10 Mathematics Basic paper pattern
Based on the board exam 2025 · set 430/1/1 (80 marks).
| Section | Questions | Marks |
|---|---|---|
| Section A | 20 × 1 mark | 20 |
| Section B | 5 × 2 marks | 10 |
| Section C | 6 × 3 marks | 18 |
| Section D | 4 × 5 marks | 20 |
| Section E | 3 × 4 marks | 12 |
Frequently asked questions
Where can I download CBSE Class 10 Mathematics Basic previous year question papers for free?
All CBSE Class 10 Mathematics Basic board papers from 2022–2025 are listed on this page as free PDF downloads, together with the official marking schemes. You can also practise every question online in the free BoardPrep app.
Are marking schemes included with the Class 10 Mathematics Basic papers?
Yes. The official CBSE marking scheme is linked next to each paper where CBSE has published it. In the app, 166 of the 289 questions show their marking-scheme answer.
Which chapters carry the most marks in Class 10 Mathematics Basic?
In recent board papers the highest-weightage chapters were Trigonometry, Circles, Statistics. See the chapter-wise weightage table above for the full list.
Has the CBSE exam pattern changed for 2026-27?
No. CBSE's notification of 21 September 2026 says there is no change in the question paper design or assessment pattern for 2026-27, and the passing criteria stay the same as 2025-26.
Is BoardPrep free?
Yes. All papers, the question bank, the paper generator, mock tests and the Pattern Challenge are free to use.
Practise Class 10 Mathematics Basic free
Question-wise practice with answers, chapter tests, board-pattern paper generator with PDF download, and a daily streak to keep you going.