In short: CBSE released the official Sample Question Paper (SQP) for Class 10 Mathematics Standard on September 21, 2026. The paper has 38 compulsory questions across 5 sections, worth 80 marks, to be completed in 3 hours. This post breaks down every section, compares the pattern with the 2026 paper, identifies the 20 most expected questions based on SQP trends and previous year analysis, and gives you a time management strategy that works.
Official SQP 2026-27 — Paper Structure at a Glance
| Detail | Specification |
|---|---|
| Total Marks | 80 |
| Duration | 3 hours |
| Total Questions | 38 (all compulsory) |
| Sections | 5 (A through E) |
| Internal Choices | Available in some questions |
| Paper Type | Standard (not Basic) |
| Released On | September 21, 2026 |
| Available At | CBSE Academic website (cbseacademic.nic.in) |
Section-Wise Breakdown
Section A — MCQs and Assertion-Reason (20 marks)
| Question Type | Number of Questions | Marks Each | Total Marks |
|---|---|---|---|
| Multiple Choice Questions (MCQs) | 18 | 1 | 18 |
| Assertion-Reason Questions | 2 | 1 | 2 |
| Section A Total | 20 | — | 20 |
What to expect: Straightforward application of formulas and concepts. MCQs test recall and quick calculation. Assertion-Reason questions require understanding of why a mathematical statement is true, not just what is true.
Common traps: Negative sign errors in coordinate geometry, confusing AP formula (nth term vs sum), misreading assertion-reason relationship options.
Section B — Very Short Answers (10 marks)
| Question Type | Number of Questions | Marks Each | Total Marks |
|---|---|---|---|
| Very Short Answer (VSA) | 5 | 2 | 10 |
| Section B Total | 5 | — | 10 |
What to expect: Direct questions requiring 2-3 steps. Typically covers HCF/LCM, finding zeroes of polynomials, basic trigonometric identities, or simple coordinate geometry problems.
Scoring tip: Show all steps clearly even though the answer is short. Marks are often split — 1 mark for the method, 1 mark for the final answer.
Section C — Short Answers (18 marks)
| Question Type | Number of Questions | Marks Each | Total Marks |
|---|---|---|---|
| Short Answer (SA) | 6 | 3 | 18 |
| Section C Total | 6 | — | 18 |
What to expect: Problems requiring 4-5 steps. Proving trigonometric identities, solving quadratic equations, finding coordinates using section formula, constructing a triangle similar to another. Internal choice available in some questions.
Scoring tip: For proof-based questions, write each step on a separate line with clear logical progression. Do not skip steps — 1 mark is usually awarded per key step.
Section D — Long Answers (20 marks)
| Question Type | Number of Questions | Marks Each | Total Marks |
|---|---|---|---|
| Long Answer (LA) | 4 | 5 | 20 |
| Section D Total | 4 | — | 20 |
What to expect: Multi-part questions from Algebra (quadratic word problems), Geometry (circle theorems with proofs), Mensuration (combined solid problems), Statistics (mean/median calculation from grouped data). Internal choice available.
Scoring tip: For 5-mark questions, the marking scheme usually has specific breakpoints (1+1+1+1+1 or 2+3). Attempt all parts even if you cannot complete the full question — partial marks are awarded.
Section E — Case-Based Questions (12 marks)
| Question Type | Number of Questions | Marks Each | Total Marks |
|---|---|---|---|
| Case-Based / Source-Based | 3 | 4 | 12 |
| Section E Total | 3 | — | 12 |
What to expect: Real-world scenarios (park dimensions, building height, survey data) with 3-4 sub-questions based on the given data. Concepts tested include coordinate geometry, trigonometry (heights and distances), statistics, and AP.
Scoring tip: Read the entire case carefully before answering any sub-question. The data given in the introduction is often needed for later parts. Draw diagrams if the question involves geometry or trigonometry.
Chapter-Wise Expected Marks Distribution
Based on SQP analysis and CBSE weightage pattern:
| Chapter | Expected Marks | Percentage | Priority |
|---|---|---|---|
| Real Numbers | 6 | 7.5% | Medium |
| Polynomials | 4 | 5% | Medium |
| Pair of Linear Equations | 5 | 6.25% | High |
| Quadratic Equations | 6 | 7.5% | High |
| Arithmetic Progressions | 6 | 7.5% | High |
| Triangles | 6 | 7.5% | High |
| Coordinate Geometry | 6 | 7.5% | High |
| Introduction to Trigonometry | 6 | 7.5% | High |
| Applications of Trigonometry | 4 | 5% | Medium |
| Circles | 4 | 5% | Medium |
| Areas Related to Circles | 4 | 5% | Medium |
| Surface Areas and Volumes | 6 | 7.5% | High |
| Statistics | 6 | 7.5% | High |
| Probability | 5 | 6.25% | High |
| Total | 80 | 100% | — |
High-value chapters: Quadratic Equations, AP, Triangles, Coordinate Geometry, Trigonometry, Statistics, and Surface Areas/Volumes together account for over 50 marks. Master these first.
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20 Most Expected Questions for 2027
Based on SQP pattern analysis, previous year trends (2024-2026), and chapter weightage:
Algebra (Questions 1-6)
| # | Expected Question | Chapter | Marks | Likely Section |
|---|---|---|---|---|
| 1 | Find HCF and LCM of two numbers using prime factorization and verify HCF × LCM = Product of numbers | Real Numbers | 2 | B |
| 2 | Find the zeroes of a quadratic polynomial and verify the relationship between zeroes and coefficients | Polynomials | 3 | C |
| 3 | Solve a pair of linear equations by substitution or elimination method (word problem format) | Linear Equations | 3 | C |
| 4 | Solve a quadratic equation using the quadratic formula; determine the nature of roots using discriminant | Quadratic Equations | 5 | D |
| 5 | Word problem on quadratic equations (age, speed-distance, or area) | Quadratic Equations | 5 | D |
| 6 | Find the sum of first n terms of an AP; determine number of terms given sum and common difference | AP | 3-4 | C/E |
Geometry (Questions 7-11)
| # | Expected Question | Chapter | Marks | Likely Section |
|---|---|---|---|---|
| 7 | Prove Basic Proportionality Theorem (Thales Theorem) with application | Triangles | 5 | D |
| 8 | Prove that tangent at any point of a circle is perpendicular to the radius; related numerical | Circles | 3-5 | C/D |
| 9 | Find the area of a triangle using coordinate geometry (vertices given) | Coordinate Geometry | 2-3 | B/C |
| 10 | Section formula — find the coordinates of a point dividing a line segment in a given ratio | Coordinate Geometry | 2 | B |
| 11 | Distance formula application — show that given points form a specific type of triangle or quadrilateral | Coordinate Geometry | 3 | C |
Trigonometry (Questions 12-14)
| # | Expected Question | Chapter | Marks | Likely Section |
|---|---|---|---|---|
| 12 | Prove a trigonometric identity (e.g., involving sin²θ + cos²θ, sec²θ - tan²θ) | Intro to Trigonometry | 3 | C |
| 13 | Height and distance problem — angle of elevation/depression from a building, tower, or cliff | Applications of Trig | 4-5 | D/E |
| 14 | Evaluate a trigonometric expression using standard angle values (0°, 30°, 45°, 60°, 90°) | Intro to Trigonometry | 1-2 | A/B |
Mensuration (Questions 15-17)
| # | Expected Question | Chapter | Marks | Likely Section |
|---|---|---|---|---|
| 15 | Find the area of a shaded region involving circles inscribed in/circumscribing squares or triangles | Areas Related to Circles | 3 | C |
| 16 | A solid is melted and recast into another shape — find the dimensions of the new solid | Surface Areas & Volumes | 5 | D |
| 17 | Combined solid problem (cone on cylinder, hemisphere on cylinder) — find total surface area or volume | Surface Areas & Volumes | 5 | D |
Statistics and Probability (Questions 18-20)
| # | Expected Question | Chapter | Marks | Likely Section |
|---|---|---|---|---|
| 18 | Find the mean of grouped data using step-deviation or assumed mean method | Statistics | 5 | D |
| 19 | Find the median of grouped data from a cumulative frequency table; draw an ogive | Statistics | 3-4 | C/E |
| 20 | Probability problem involving cards, dice, or real-life scenario (defective items, survey results) | Probability | 2-3 | B/C |
Case-Study Question Patterns
The 3 case-based questions in Section E typically follow these themes:
| Case Study Theme | Concepts Tested | Example Scenario |
|---|---|---|
| Architecture/Construction | Trigonometry (heights and distances) | Height of a tower observed from two points |
| Park/Garden Layout | Coordinate Geometry | Coordinates of features in a rectangular park |
| Survey/Data Analysis | Statistics + Probability | Frequency table from a student survey |
Pattern from SQP: Each case study gives a real-world scenario with a diagram or data table, followed by 3-4 sub-questions of 1-2 marks each, totalling 4 marks.
Preparation strategy: Practice at least 10 case-study questions from the CBSE SQP and previous year papers. Focus on reading data carefully — most errors come from misreading the given information, not from wrong calculations.
Comparison: 2027 SQP vs 2026 Paper
| Feature | 2026 Paper | 2027 SQP |
|---|---|---|
| Total questions | 38 | 38 |
| Total marks | 80 | 80 |
| Sections | 5 (A-E) | 5 (A-E) |
| MCQs | 18 + 2 A-R = 20 | 18 + 2 A-R = 20 |
| Case-based questions | 3 | 3 |
| Internal choices | Yes (select questions) | Yes (select questions) |
| Difficulty level | Moderate | Moderate to slightly higher |
| Application-based focus | Medium | Increased emphasis |
Key change: The 2027 SQP shows a slight increase in application-based and HOTS questions compared to 2026. Expect more word problems and fewer direct formula-plug questions.
Time Management Strategy
| Section | Questions | Marks | Recommended Time | Per Question |
|---|---|---|---|---|
| A (MCQs) | 20 | 20 | 30 minutes | 1.5 min |
| B (VSA) | 5 | 10 | 15 minutes | 3 min |
| C (SA) | 6 | 18 | 30 minutes | 5 min |
| D (LA) | 4 | 20 | 40 minutes | 10 min |
| E (Case-Based) | 3 | 12 | 20 minutes | 6-7 min |
| Review | — | — | 15 minutes | — |
| Total | 38 | 80 | 150 minutes | — |
Time Management Tips
- Start with Section A — MCQs are quick confidence-builders. Do not spend more than 1.5 minutes on any MCQ. If stuck, mark it and move on.
- Tackle Section E before D — Case-based questions are worth 12 marks and are often easier than the 5-mark long answers. Secure these marks early.
- Use internal choices wisely — Read both options in a choice question before deciding. Pick the one where you can write more complete steps.
- Save 15 minutes for review — Check Section A answers (sign errors, option bubbling), verify calculations in Section D, and ensure all parts of case-based questions are answered.
Preparation Checklist
| Task | Timeline | Details |
|---|---|---|
| Solve the official SQP | Now | Available on cbseacademic.nic.in |
| Previous year papers (2024-2026) | 8 weeks before exam | Focus on Section D and E patterns |
| Chapter-wise NCERT Exemplar | 6 weeks before exam | Especially Chapters 1-8 |
| Full mock tests (timed) | 4 weeks before exam | At least 5 full papers under exam conditions |
| Revision of formulas | Ongoing | Maintain a formula sheet — revise weekly |
| Case-study practice | 3 weeks before exam | At least 15 case studies from various sources |
Frequently Asked Questions
Q1: Is the 2027 Maths paper harder than 2026?
Based on the SQP, the overall difficulty is similar but with slightly more emphasis on application-based questions. If you have practiced well, the difficulty difference is negligible.
Q2: What is the difference between Maths Standard and Maths Basic SQP?
Both papers have the same structure (38 questions, 5 sections, 80 marks). The Basic paper has easier questions — simpler numericals, more direct formula application. Standard has more word problems and multi-step questions. Students who took Maths Standard in Class 9 will appear for the Standard paper.
Q3: Are NCERT Exemplar problems enough for Section D?
NCERT Exemplar covers the difficulty level well for most Section D questions. However, supplementing with 2-3 previous year papers will give you exposure to the exact phrasing and format CBSE uses.
Q4: How should I handle a question I cannot solve in the exam?
Write whatever you know — the formula, the diagram, the first step. Even partial attempts score marks in CBSE evaluation. A blank answer always scores zero; a partial answer might score 1-2 marks.
Q5: Will there be questions from deleted syllabus topics?
No. CBSE will only ask questions from the current syllabus for 2026-27. Check the official syllabus document along with the SQP to confirm which topics are included.
Q6: How important are constructions for the 2027 paper?
Constructions typically carry 2-3 marks. While not the highest-weightage topic, these are easy marks if you practice. Keep your geometry box ready and practice at least 5 construction problems before the exam.
Final Word
The CBSE Class 10 Maths Standard paper for 2027 follows a familiar and predictable pattern. There are no surprises in the structure — 38 questions, 5 sections, 80 marks. Your job is to master the high-weightage chapters, practice case-based questions, and manage your time effectively. The 20 expected questions above cover the most likely topics — start your preparation there.
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