Download the CBSE Class 10 Maths Basic Sample Paper 2027 PDF with its marking scheme (solutions) – the official CBSE sample question paper (SQP) for the 2026-27 session, the paper to practise for the CBSE Class 10 board exam 2027. It is an 80-mark, 3-hour paper with 38 questions in 5 sections. The pattern is the same as the 2026 sample paper. The 2026 and 2025 sample papers are also here. Students also call it the CBSE 10th Maths Basic model question paper 2027 or model test paper – it is the same official CBSE paper.
CBSE Class 10 Maths Basic Sample Paper 2027 PDF Download
Open a paper to read it online or download the PDF. The marking scheme has the answers, with the marks for each step.
| Year | Document | Download |
|---|---|---|
| 2027 | CBSE Class 10 Sample Paper 2027 for Maths Basic | View PDF |
| 2027 | CBSE Class 10 Sample Paper 2027 Solution (Marking Scheme) for Maths Basic | View PDF |
| 2026 | CBSE Class 10 Sample Paper 2026 for Maths Basic | View PDF |
| 2026 | CBSE Class 10 Sample Paper 2026 Solution for Maths Basic | View PDF |
| 2025 | CBSE Class 10 Sample Paper 2025 for Maths Basic | View PDF |
CBSE 10th Maths Basic Model Question Paper 2027 – Quick Facts
| Board | Central Board of Secondary Education (CBSE) |
| Class | Class 10 |
| Subject | Maths Basic (code 241) |
| Session | 2026-27 – for the board exam 2027 |
| Marks and time | 80 marks, 3 hours |
| Questions | 38 questions in 5 sections |
| Solutions | Yes – official CBSE marking scheme |
| Older papers | 2026, 2025 |
| Released by | CBSE (cbseacademic.nic.in) |
CBSE Class 10 Maths Basic Sample Paper 2027 – Read Online
CBSE Class 10 Maths Basic Paper Pattern 2027
How the 2027 sample paper is set (from the paper itself) – 80 marks, 3 hours, 38 questions:
| Section | Questions | Type | Marks each | Total |
|---|---|---|---|---|
| A | 1–20 | Q1–18 Multiple Choice Questions (MCQs); Q19–20 Assertion-Reason | 1 | 20 |
| B | 21–25 | Very Short Answer (VSA) | 2 | 10 |
| C | 26–31 | Short Answer (SA) | 3 | 18 |
| D | 32–35 | Long Answer (LA) | 5 | 20 |
| E | 36–38 | Case study-based (three sub-parts of 1, 1 and 2 marks) | 4 | 12 |
| Total | 38 | 80 |
Choice: No overall choice; internal choice in 2 questions each of Section B (Q21, Q25), Section C (Q27, Q30) and Section D (Q33, Q35), and in the 2-mark sub-part (iii) of every Section E case study.
- All 38 questions are compulsory.
- Draw neat and clean figures wherever required.
- Take π = 22/7 wherever required, if not stated.
- Use of calculators is not allowed.
Unit-wise Marks in the Maths Basic Sample Paper 2027
Marks for each unit (counted question by question from the 2027 paper):
| Unit | Questions | Marks |
|---|---|---|
| Number Systems (Real Numbers) | Q1, Q21, Q26 | 6 |
| Algebra (Polynomials, Pair of Linear Equations, Quadratic Equations, Arithmetic Progressions) | Q2, Q3, Q4, Q5, Q6, Q7, Q23, Q31, Q33, Q37 | 20 |
| Coordinate Geometry | Q8, Q25, Q28 | 6 |
| Geometry (Triangles, Circles) | Q11, Q15, Q16, Q17, Q20, Q24, Q27, Q32 | 15 |
| Trigonometry (incl. Heights and Distances) | Q13, Q14, Q22, Q29, Q35 | 12 |
| Mensuration (Areas Related to Circles, Surface Areas and Volumes) | Q18, Q34, Q36 | 10 |
| Statistics & Probability | Q9, Q10, Q12, Q19, Q30, Q38 | 11 |
What Is New in the Maths Basic Sample Paper 2027?
Compared with the 2026 sample paper (session 2025-26):
- No change in pattern – same sections, marks and number of questions as the 2026 sample paper (38 questions, 80 marks, 3 hours, Sections A–E with 20/10/18/20/12 marks; 18 MCQs + 2 assertion-reason in Section A; case studies with 1-1-2 sub-parts; no calculators).
- Footer note changed from ‘the assessment scheme of the Academic Session 2024-25 will continue in the current session i.e. 2025-26’ to ‘There is no change in the Question Paper Design and Assessment Pattern for Academic Session 2026-27’.
- Internal-choice questions moved: 2026 had choices in Q21, Q25 (B), Q27, Q29 (C), Q33, Q34 (D); 2027 has them in Q21, Q25 (B), Q27, Q30 (C), Q33, Q35 (D). Section E choice rule unchanged.
- Visually-impaired alternatives reduced: 2026 gave them for Q10, Q11, Q16, Q22, Q28 and Q29; 2027 gives them for Q24, Q27(A) and Q36.
- Section headings now print marks totals (e.g. ‘SECTION – A (20 × 1 = 20)’) and the paper is shorter: 8 pages in 2027 vs 11 pages in 2026.
Questions from the Maths Basic Sample Paper 2027
Two questions from the 2027 paper, to show the level:
- Section A, 1 mark: Which term of the AP: 21, 42, 63, 84 … is 210? (A) 9th (B) 10th (C) 11th (D) 12th
- Section E, 4 marks: Case study (Q38): A labourer prints 400 T-shirts in a day; 312 prints are good, 54 have minor defects and the rest have major defects. Harish buys a T-shirt only if it is good; a trader buys it if it has no major defect. If a T-shirt is picked at random, (i) find the probability that Harish will buy it (1); (ii) find the probability that the trader will buy it (1); (iii)(A) find the probability that the T-shirt is not good OR (B) find the probability that neither Harish nor the trader buys it (2).
CBSE Class 10 Maths Basic Marking Scheme 2027 (Solutions)
The 2027 marking scheme gives the answer option with a short working/hint for every MCQ and assertion-reason question (‘no part marks’ in Section A) and step-wise solutions for Sections B–E with ½/1-mark splits, including answers for both internal-choice options and the visually-impaired alternatives. The BPT proof (Q32) is marked 4 × ½ for figure, given, to prove and construction plus 3 for the proof, and the heights-and-distances answers (Q35) give 1 mark for a correct figure. Check your answers against it after you solve the paper.
Maths Basic Marking Scheme 2027 – Read Online
How to Score Well – Tips from the 2027 Paper
- Learn the Basic Proportionality Theorem proof thoroughly: Q32 asks for the proof itself (5 marks), with 2 marks just for figure, given, to prove and construction – and Q20 tests its converse as an assertion.
- Tangent properties appear in four questions (Q11, Q17, Q24, Q27) – practise ‘tangents from an external point are equal’ and ‘radius ⟂ tangent’ proofs such as AP = ½(AB + BC + CA).
- Every Section E case study ends with a 2-mark choice (e.g. total trees planted vs. which class planted 34 trees in Q37) – read the case carefully and pick the option you can finish fastest.
- In heights-and-distances (Q35, drone over an accident site / statue on a pedestal) 1 mark is for the correct figure, so always draw and label it.
- No calculators and π = 22/7: practise arithmetic such as 21^3 − (2/3)(22/7)(21/2)^3 = 6835.5 cm^3 (Q34) by hand.
- Solve the 2027 paper in one sitting with a timer, check it with the marking scheme, then solve the 2026 paper a few days later.
More Class 10 Maths Basic Papers and Study Material
Practise past board papers, or plan your revision with the syllabus and important questions for Class 10 Maths Basic:
CBSE Class 10 Maths Basic Sample Paper 2027 – FAQs
Is the CBSE Class 10 Maths Basic Sample Paper 2027 out?
Yes. CBSE has released the Class 10 Maths Basic sample paper 2027 for the 2026-27 session with its marking scheme – both are in the table on this page, free.
Is the CBSE Class 10 Maths Basic Sample Paper 2027 available with solutions?
Yes. The official CBSE marking scheme is the solution – it gives the answers and the marks for each step. Download it from the table above or read it online on this page.
Has the CBSE Class 10 Maths Basic paper pattern changed for 2027?
No. CBSE says there is no change in the question paper design for 2026-27. The 2027 sample paper keeps the 2026 pattern – 80 marks, 3 hours, 38 questions in 5 sections. Small changes: Footer note changed from ‘the assessment scheme of the Academic Session 2024-25 will continue in the current session i.e. 2025-26’ to ‘There is no change in the Question Paper Design and Assessment Pattern for Academic Session 2026-27’.; Internal-choice questions moved: 2026 had choices in Q21, Q25 (B), Q27, Q29 (C), Q33, Q34 (D); 2027 has them in Q21, Q25 (B), Q27, Q30 (C), Q33, Q35 (D). Section E choice rule unchanged..
How many marks and questions are in the CBSE Class 10 Maths Basic Sample Paper 2027?
It is a 80 marks, 3 hours, 38 questions paper – Section A: 1–20 (20 marks); Section B: 21–25 (10 marks); Section C: 26–31 (18 marks); Section D: 32–35 (20 marks); Section E: 36–38 (12 marks).
Which units carry the most marks in the Maths Basic sample paper 2027?
In the 2027 sample paper: Algebra (Polynomials, Pair of Linear Equations, Quadratic Equations, Arithmetic Progressions) (20 marks), Geometry (Triangles, Circles) (15 marks), Trigonometry (incl. Heights and Distances) (12 marks).
Is the CBSE 10th Maths Basic model question paper 2027 the same as the sample paper?
Yes. CBSE calls it the sample question paper (SQP); students also search for it as the 10th Maths Basic model question paper or model test paper – it is the same official paper on this page.
Will the board exam paper be the same as the sample paper?
No – the CBSE Class 10 board exam 2027 has different questions, but it follows the same pattern as the sample paper: the same sections, marks and question types.