CBSE Math RevisionCBSE Class 10 Maths question papers and sample papers
Official CBSE Class 10 Mathematics board papers and sample question papers with marking schemes, linked straight to CBSE. Class 10 has two levels: Mathematics Standard (041) and Mathematics Basic (241). Both are a 3-hour, 80-mark theory paper plus 20 marks of internal assessment.
Board exam in 2027: Class 10 still choose Mathematics Standard or Basic (how to choose). From the 2028 board exams, Basic and Standard end: one common maths paper plus an optional Mathematics Advanced paper. What changes, with two practice papers.
Papers are © CBSE; we link to the official copies. Details
CBSE posts each year's board papers (all sets, as a zip) and marking schemes on cbse.gov.in. We list Class 10 (Standard and Basic) and Class 12 Mathematics from 2022 to 2026. CBSE Academic publishes a sample question paper and marking scheme for each session on cbseacademic.nic.in.
Sit it under exam conditions: open the paper, press Start timer, press Finish when time is up, then mark it against the mark scheme. Timing is free, no sign-in; a free account saves your time and lets you enter your mark to track your progress.
Sit one of our 5 sample papers on the same pattern and get its full step-marking scheme. Free account, no card. Join free
Worked solutions to a board paper
Our own step-by-step solutions to one set of CBSE's paper, with the marks for each step:
Class 10 Maths unit weightage
| Unit | Marks (of 80) | Chapters: free notes and practice |
|---|---|---|
| Number Systems | 6 | Real Numbers |
| Algebra | 20 | Polynomials · Pair of Linear Equations in Two Variables · Quadratic Equations · Arithmetic Progressions |
| Coordinate Geometry | 6 | Coordinate Geometry |
| Geometry | 15 | Triangles · Circles |
| Trigonometry | 12 | Introduction to Trigonometry · Some Applications of Trigonometry |
| Mensuration | 10 | Areas Related to Circles · Surface Areas and Volumes |
| Statistics and Probability | 11 | Statistics · Probability |
Marks often lost in these chapters
Algebra (20 marks) and Geometry (15 marks) carry the most marks in the Class 10 paper. When you mark a past paper, check these chapters for these slips first.
- Polynomials: Sign slip: the sum of zeroes is \(-b/a\), not \(b/a\). Also: Writing \(x^2 + Sx + P\) instead of \(x^2 - Sx + P\). More on one page
- Pair of Linear Equations in Two Variables: Comparing only \(a\) and \(b\) ratios and forgetting \(c\) when deciding between parallel and coincident. Also: Sign errors when subtracting equations; check the answer in both original equations. More on one page
- Quadratic Equations: Dividing both sides by \(x\) and losing the root \(x = 0\). Also: Using \(b\) instead of \(-b\) in the formula, or dividing only the root term by \(2a\). More on one page
- Arithmetic Progressions: Using \(a + nd\) instead of \(a + (n-1)d\). Also: Finding the number of terms as \(\dfrac{l - a}{d}\) and forgetting the “\(+1\)”. More on one page
- Triangles: Writing \(\dfrac{AD}{DB} = \dfrac{DE}{BC}\) — wrong; use \(\dfrac{AD}{AB} = \dfrac{DE}{BC}\). Also: Matching vertices in the wrong order, leading to wrong side ratios. More on one page
- Circles: Using \(OP^2=PA^2-r^2\): \(OP\) is the hypotenuse, not a leg. Also: Claiming \(\angle APB=\angle AOB\). They are supplementary, not equal. More on one page
More practice: our 5 sample papers on the same pattern
Original Class 10 Maths papers written to the CBSE 2026-27 pattern by us (not official CBSE papers): 80 marks, 38 questions, sections A to E, a 3-hour timer, an A4 print view and a step-marking scheme with where toppers lose marks.
Formula booklet
CBSE Mathematics (Class 10 and Class 12) · CBSE · No official formula booklet
CBSE does not publish a formula booklet and none is given in the exam: formulas must be learnt. Use our one-page sheets to revise them.
Questions students ask
When does CBSE release the sample paper?
CBSE Academic usually publishes the next session's sample question papers and marking schemes during the school year on cbseacademic.nic.in. We add each one here once it is out.
How many marks is the Class 10 Maths paper?
Class 10 has two levels: Mathematics Standard (041) and Mathematics Basic (241). Both are a 3-hour, 80-mark theory paper plus 20 marks of internal assessment.