CBSE Class 10 Maths Sample Paper 2026–27: Practice Guide, Solutions & Revision Plan

Quick answer: To prepare with the CBSE Class 10 Maths sample paper for 2026–27, download the official Mathematics Basic or Standard paper for your registered subject, solve it without looking at answers, compare your working with CBSE's marking scheme and revise the topics behind your mistakes. Review matters more than the number of papers you finish.

A familiar problem can feel surprisingly difficult when it appears in the middle of a timed paper. The challenge is not always the mathematics. Sometimes it is recognising the method quickly, writing enough steps or managing your time. That is exactly what deliberate sample-paper practice can improve.

Download the official CBSE Class 10 Maths sample paper 2026–27

Visit CBSE Academic's official Class X sample-paper page. It lists Mathematics (Basic) and Mathematics (Standard) separately, with a question paper and marking scheme for each. Download the pair that matches your registered subject. For more authentic practice, use CBSE's previous question-paper archive.

Mathematics Basic vs Mathematics Standard

Do not assume the two papers are interchangeable. They are separately published assessments. Follow your school's guidance and your registered subject when selecting the paper for timed practice. If you try a different paper for extra challenge, do not treat that as a replacement for your own exam preparation.

How to use a sample paper in five steps

1. Check your fundamentals

Start with the prescribed textbook. If you struggle with an ordinary equation or diagram, review the concept and a few examples before attempting a complete paper.

2. Attempt the paper independently

Follow the duration, instructions and permitted materials printed on the official paper. Avoid checking answers while working. Mark questions you cannot solve immediately and return to them if time remains.

3. Compare your working with the marking scheme

Check reasoning, substitutions, diagrams, units and final answers. A wrong answer can reveal a small arithmetic slip or a deeper concept gap. The distinction matters because the fixes are different.

4. Maintain an error log

Use four categories: concept error, calculation error, misread question and time-management issue. Write down the correction. For example: “Used the diameter instead of radius; underline the given measurement before calculating.”

5. Solve missed questions again

Close the solution and redo the problem after a break. A few days later, try a similar question with changed numbers to check whether you understand the method.

Three worked maths examples

Example 1: Linear equations

Solve 2x + y = 11 and x − y = 1. Add the equations to get 3x = 12, so x = 4. Substitute into x − y = 1 to get y = 3. Check: 2(4) + 3 = 11. Answer: x = 4, y = 3.

Example 2: Quadratic equations

Solve x² − 5x + 6 = 0. Factorise as (x − 2)(x − 3) = 0. Therefore x = 2 or x = 3. Verify both values in the original equation rather than assuming the factorisation is correct.

Example 3: Arithmetic progressions

Find the 12th term of 5, 8, 11, 14, ... . Here a = 5 and d = 3. Use aₙ = a + (n − 1)d. Then a₁₂ = 5 + 11 × 3 = 38.

These are original practice examples, not questions claimed to appear in the official 2026–27 sample paper.

A flexible 30-day revision plan

Days	Focus	What to do
1–7	Find weak topics	Review the prescribed syllabus, try mixed questions and list concepts you cannot explain.
8–14	Build accuracy	Practise textbook exercises and correct recurring calculation or method errors.
15–21	Mixed and timed practice	Attempt the official sample paper, review the marking scheme and revisit weak chapters.
22–30	Consolidate	Try another suitable paper, redo missed questions and revise formulas in context.

Adjust this plan to your current level, school timetable and actual exam date. No revision schedule guarantees a particular score.

Common mistakes to avoid

• Reading solutions before attempting questions.
• Practising the wrong Basic or Standard paper.
• Checking only the final answer instead of the method.
• Skipping units, diagrams or essential steps.
• Repeating easy questions while ignoring weak chapters.
• Assuming sample-paper questions are guaranteed to repeat.

How Krutsha AI can support your revision

Use the Krutsha NCERT study-material directory to explore currently published class and chapter resources. Read available explanations to clarify a concept, then return to the prescribed textbook and official CBSE paper. Krutsha is an independent supplementary learning platform.

Before you begin: a quick exam-paper checklist

Open the official sample paper and confirm the subject name, examination session, total marks, permitted time, general instructions, section structure and internal choices. These details belong to the actual paper, not to a generic blog checklist. Read the marking scheme only after your first attempt.

What to do when a question looks unfamiliar

First identify what the question gives you and what it asks you to find. Write down the relevant formula, theorem or relationship before substituting numbers. For word problems, define variables clearly. For geometry, sketch and label the figure. For statistics, organise the values in a small table if that helps. If you cannot make progress, mark the question and return after completing easier ones.

How to check your paper fairly

Use the official marking scheme for your exact Basic or Standard sample paper. Mark each answer as correct, partially correct or incorrect based on the stated evaluation guidance. Keep a separate count of questions where your concept was correct but arithmetic failed. Do not invent marks for methods that the official scheme does not address; ask your teacher when alternative reasoning is uncertain.

Build a chapter-wise improvement tracker

Topic	Typical difficulty	Next action
Real numbers and algebra	Signs, factorisation, algebraic steps	Redo textbook examples and check each transformation
Coordinate geometry	Formula selection and substitution	Label coordinates and verify arithmetic
Geometry and trigonometry	Diagram interpretation and reasoning	Draw clear figures and state the theorem or ratio used
Mensuration	Units and dimensions	Distinguish radius from diameter, area from volume
Statistics and probability	Reading data and defining outcomes	Organise data and verify totals

This is a practice tracker, not a claim about the official 2026–27 chapter weightage. Check the applicable CBSE curriculum for scope.

One-hour practice session for busy school days

Spend 10 minutes recalling a concept, 30 minutes solving questions without help, 15 minutes checking your reasoning, and 5 minutes recording mistakes. If you have more time, increase the problem-solving portion. Short, consistent sessions can complement occasional full-length timed papers.

Important formulas to understand, not just memorise

• Quadratic formula: for ax² + bx + c = 0 with a ≠ 0, x = (−b ± √(b² − 4ac)) / (2a), when real roots exist.
• Arithmetic progression: aₙ = a + (n − 1)d, where a is the first term and d the common difference.
• Distance formula: between (x₁, y₁) and (x₂, y₂), distance = √[(x₂ − x₁)² + (y₂ − y₁)²].
• Basic probability: for equally likely outcomes, P(event) = favourable outcomes / total outcomes, when the total is positive.

Use formulas only when they fit the question and your prescribed syllabus. Understand what each symbol means and check your answer's units or domain restrictions.

Frequently asked questions

Where is the official 2026–27 Maths sample paper?

Download the Mathematics Basic or Standard sample question paper and matching marking scheme from CBSE Academic's Class X 2026–27 page.

Are Basic and Standard sample papers identical?

No. CBSE publishes separate papers and marking schemes; use the version matching your registered subject.

How many papers should I solve?

There is no fixed number. Start with the official paper, review mistakes thoroughly, then practise additional relevant papers as time allows.

Do sample-paper questions repeat in the board exam?

There is no guarantee. Sample papers illustrate assessment formats and should not be treated as predictions.

How do I improve maths speed?

Strengthen concepts, practise mixed questions, time full attempts occasionally and analyse where you lose time.

Should I revise NCERT before sample papers?

Yes. Work through your prescribed textbook concepts and exercises before relying on full timed papers.

Official references

• CBSE Academic: Class X sample question papers and marking schemes, 2026–27
• CBSE: Previous years' question papers
• NCERT: Official educational resources

Check current official instructions and your prescribed syllabus before making exam-specific decisions.