CBSE Class 10 Maths Official Sample Paper 2026-27 (Standard and Basic)

CBSE's official sample question paper and marking scheme for the 2026-27 session, linked straight to CBSE. Time yourself, mark it against the scheme, then practise the weakest units.

On this page, after the 2026-27 sample paper: 4 questions of our own on Real Numbers, Polynomials, Arithmetic Progressions and Coordinate Geometry, each with a worked answer, then the marks students most often drop in those chapters.

The official sample paper and marking scheme

Class 10 Mathematics Standard: sample question paper 041 Specimen

3 h · 80 marks · No calculator

Question paper (opens in a new tab)Mark scheme (opens in a new tab)
Class 10 Mathematics Basic: sample question paper 241 Specimen

3 h · 80 marks · No calculator

Question paper (opens in a new tab)Mark scheme (opens in a new tab)

Sit it under exam conditions: open the paper, press Start timer, press Finish when time is up, then mark it against the mark scheme.

Next: sit a full mock paper on the same pattern

Our Class 10 Sample paper 1 (Board standard) is written by us to the CBSE 2026-27 pattern: 38 questions, 80 marks, sections A to E, with a 3-hour timer. Free to sit, no sign-up. Want an easier or harder one? All 5 Class 10 sample papers.

Sit Sample paper 1

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4 Class 10 questions like these, with worked solutions

Written and checked by us, not taken from the CBSE paper. Try each one, then tap "Worked solution" to see every step and its marks.

Real Numbers · 2 marks

Express $5005$ as a product of its prime factors.

Worked solution
$5005 = 5 \times 1001 = 5 \times 7 \times 143$ M1
$= 5 \times 7 \times 11 \times 13$ A1
Polynomials · 2 marks

Find the zeroes of $6 x^{2} - 7 x - 3$ and verify the relationship between the zeroes and the coefficients.

Worked solution
$6 x^{2} - 9 x + 2 x - 3 = (2 x - 3) (3 x + 1)$ ; zeroes $\frac{3}{2}, - \frac{1}{3}$ A1
Sum $= \frac{3}{2} - \frac{1}{3} = \frac{7}{6} = - \frac{- 7}{6}$ ; product $= - \frac{1}{2} = \frac{- 3}{6}$ ✓ A1
Arithmetic Progressions · 2 marks

For the AP $7, 3, - 1, - 5, \dots$ , find $a_{42} - a_{27}$ without finding the two terms.

Worked solution
$a_{42} - a_{27} = (a + 41 d) - (a + 26 d) = 15 d$ M1
$= 15 \times (- 4) = - 60$ A1
Coordinate Geometry · 2 marks

Find the distance between $P (- 1, 7)$ and $Q (4, - 5)$ .

Worked solution
$P Q = \sqrt{(4 + 1)^{2} + (- 5 - 7)^{2}} = \sqrt{25 + 144}$ M1
$= 13$ units A1

More on these topics: Real Numbers · Polynomials · Arithmetic Progressions · Coordinate Geometry

Marks often lost in these chapters

Check your answers to the questions above, and this paper's questions on the same chapters, for these slips.

Real Numbers: Using $HCF \times LCM = product$ for three numbers. Also: Taking the highest power for HCF (or the lowest for LCM). More on one page
Polynomials: Sign slip: the sum of zeroes is $- b / a$ , not $b / a$ . Also: Writing $x^{2} + S x + P$ instead of $x^{2} - S x + P$ . More on one page
Arithmetic Progressions: Using $a + n d$ instead of $a + (n - 1) d$ . Also: Finding the number of terms as $\frac{l - a}{d}$ and forgetting the “ $+ 1$ ”. More on one page
Coordinate Geometry: Swapping $m_{1}$ and $m_{2}$ in the section formula — $m_{1}$ multiplies the coordinates of the second point. Also: Forgetting the square root, or squaring a negative difference incorrectly. More on one page

Examiner Insights: common mistakes in CBSE Class 10 Maths, with fixes (our analysis of public sources) →

What the paper covers

The unit weightage, with each unit's chapters, is on the Class 10 Maths papers page. We haven't mapped this paper question by question yet.

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.

Our one-page formula sheet (Class 10)

More Class 10 papers

Questions students ask

Where do I download the Class 10 Maths official sample paper 2026-27?

The buttons above open CBSE's own copy on cbseacademic.nic.in. We link to CBSE rather than host the file, so you always get the current version.

Is there a marking scheme?

Yes: the marking scheme button opens CBSE's own copy (a dashed button opens CBSE's page where it is listed). Mark your answers against it, then enter your mark.