CBSE Class 10 Mathematics Basic Previous Year Question Papers (2022–2025)

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.

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.

Chapter-wise weightage (from 6 board papers)

Average marks each chapter carried per board paper. Start revision with the chapters at the top.

Most repeated Mathematics Basic questions in CBSE board exams

The same question, or a near-identical one, appeared in more than one CBSE board exam year.

1. Find the zeroes of the polynomial p(x) = 2x2 7x 15 and verify the relationship between its coefficients and zeroes.
   Asked in 2023, 2024, 2025Polynomials3 marks
2. (a) Zeroes of the quadratic polynomial x2 – 3x + 2 are a and b. Construct a quadratic polynomial whose zeroes are 2a + 1 and 2b + 1. 3 OR (b) Find the zeroes of the polynomial 4x2 – 4x + 1 and verify the relationship bet…
   Asked in 2023, 2024, 2025Polynomials3 marks
3. (a)In the given figure, DE II AC and DF II AE 31. Prove that BF BE FE EC OR Page 15 (b) AO. CO BO=OD ABCD 32. (b) I l I n 14··13 3425 () 100 - 150 150 - 200 200-250 250 - 300 300 - 350 12 3+2 Page 16 (b) The diagonals of…
   Asked in 2023, 2025Trigonometry3 marks
4. In a quadrilateral ABCD, diagonals AC and BD intersect each other at O such that = as shown in the given figure. Prove that ABCD is a trapezium.
   Asked in 2023, 2025Trigonometry5 marks
5. (A) If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, then prove that other two sides are divided in the same ratio. OR (B) Sides AB and BC and median AD of a ·ABC…
   Asked in 2023, 2024Statistics5 marks
6. A chord of a circle of radius 14 cm subtends an angle of 90° at the centre. Find the area of the corresponding minor and major segments of the circle.
   Asked in 2024, 2025Circles5 marks
7. Prove that the tangent drawn at any point of the circle is perpendicular to the radius through the point of contact.
   Asked in 2022, 2025Circles2 marks
8. Prove that if a line is drawn parallel to one side of a triangle intersecting the other two sides in distinct points, then the other two sides are divided in the same ratio.
   Asked in 2023, 2024Probability5 marks

See all repeated questions with answers →

Class 10 Mathematics Basic paper pattern

Based on the board exam 2025 · set 430/1/1 (80 marks).

Frequently asked questions