Class 6–12Maths & ScienceCBSE · NCERT 2026-27

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Pick the class, chapters, total marks and difficulty. CraftExam drafts a balanced paper with MCQs, assertion-reason, case-based and long-answer questions, proper sections and internal choice. You review it, then download PDF or Word, with an answer key on paid plans. Free for 5 papers a month.

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Class 10 CBSE Mathematics sample paper excerpt, with exam details, multiple-choice questions, and a short-answer section. — Sample paper · Class 10 Mathematics

The Problem

Setting a good paper takes more time than it should

The same problems come up in every staff room, from unit tests to pre-boards.

Hours lost to manual paper setting

Picking questions, balancing marks, and formatting sections by hand takes hours that belong in the classroom.

Uneven difficulty from paper to paper

Without a clear blueprint, one test is too easy and the next too hard, so students prepare unevenly.

Generic tools miss the board pattern

Most generators ignore CBSE section structure, NCERT chapter scope, and internal choice.

The Solution

CraftExam handles the drafting. You make the decisions.

Less repetitive work for you, and every question still gets your review before it reaches students.

AI-assisted question drafting

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AI-assisted workflows suggest relevant, difficulty-aware board-style questions from the selected scope.

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Choose board, class, subject, chapters, marks, and difficulty, then move from settings to draft paper fast.

CBSE pattern and NCERT aligned

Available

Papers follow CBSE section structure, marks and internal choice, with questions from current NCERT chapters, including the new 2026-27 Class 9 books.

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Illustration of the CraftExam paper settings dashboard showing subject, class, board, question count, difficulty, and chapters. — CraftExam · Paper settings

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Sample Output

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Class_10_Maths_CBSE_Sample.pdf

Central Board of Secondary Education

Class X — Mathematics (Standard)

Sample Question Paper — Annual Examination (2025–26)

Subject: Mathematics (Std)

Board: CBSE

Class: X

Time Allowed: 3 Hours

Maximum Marks: 80

Set: 1

General Instructions

This question paper contains five sections — A, B, C, D, and E.
Section A has 20 MCQs carrying 1 mark each (total 20 marks).
Section B has 5 Very Short Answer questions of 2 marks each (total 10 marks).
Section C has 6 Short Answer questions of 3 marks each (total 18 marks).
Section D has 4 Long Answer questions of 5 marks each (total 20 marks).
Section E has 3 Case Study questions of 4 marks each (total 12 marks).
Internal choices are provided in 2 questions of Section B, 2 of Section C, and 2 of Section D.
Use of calculators is not permitted. All working must be shown clearly.

SECTION – A

Multiple Choice Questions (1 × 20 = 20 Marks)

Choose the most appropriate option for each question.

1.Which of the following is an irrational number?

(a)√9

(b)√16

(c)√7

(d)√49

2.If the HCF of two numbers is 6 and their LCM is 120, and one of the numbers is 24, then the other number is:

(a)28

(b)30

(d)40

3.The roots of the quadratic equation 3x² − 7x + 2 = 0 are:

(a)1/3 and 2

(b)−1/3 and 2

(d)2/3 and 1

4.The 15th term of the arithmetic progression 3, 7, 11, 15, … is:

(a)55

(b)57

(d)61

5.If tan θ = 4/3, then sin θ equals:

(a)4/5

(b)3/5

(d)5/4

6.The probability that a randomly chosen two-digit number is a multiple of 7 is:

(a)13/90

(b)7/45

(d)2/15

⋯ more questions in the full paper ⋯

SECTION – B

Very Short Answer Questions (2 × 5 = 10 Marks)

Answer each question in 2–3 steps. Each question carries 2 marks.

21.Find the value of k for which the pair of linear equations kx + 3y = k − 2 and 12x + ky = k has no solution.[2 marks]

22.In triangle PQR, if PQ = 12 cm and the angle bisector from R meets PQ at S such that PS = 4 cm, find SR if QR = 9 cm.[2 marks]

(Use the Angle Bisector Theorem)

⋯ more questions in the full paper ⋯

SECTION – C

Short Answer Questions (3 × 6 = 18 Marks)

Answer each question showing complete steps. Each question carries 3 marks.

26.Prove that (sin θ + cosec θ)² + (cos θ + sec θ)² = 7 + tan²θ + cot²θ.[3 marks]

27.A hemispherical bowl of radius 9 cm is filled completely with water. This water is poured into small cylindrical glasses each of diameter 3 cm and height 4 cm. How many glasses can be filled completely?[3 marks]

⋯ more questions in the full paper ⋯

SECTION – D

Long Answer Questions (5 × 4 = 20 Marks)

Show all working clearly. Internal choice is provided in Q33 and Q34.

32.A train travels a distance of 480 km at a uniform speed. If the speed had been 8 km/h more, the train would have taken 2 hours less for the same journey. Find the original speed of the train.[5 marks]

Two taps A and B together can fill a tank in 6 hours. Tap A alone fills the tank 5 hours faster than tap B alone. Find the time each tap would take to fill the tank independently.[5 marks]

⋯ more questions in the full paper ⋯

SECTION – E

Case Study Based Questions (4 × 3 = 12 Marks)

Read each passage carefully before answering the questions.

Case Study – 1 (Q37)

The school annual fundraiser offers two types of entry tickets — Standard (₹25 each) and Premium (₹50 each). On the opening day, a total of 420 tickets were sold, and the total revenue collected was ₹14,250. The organiser wants to analyse the distribution and plan seating accordingly. Answer the following questions based on this situation.

(i) Set up a pair of linear equations to represent the above situation. [1 mark]

(ii) Find the number of Standard and Premium tickets sold on the opening day. [2 marks]

(iii) If the Premium section has 40 fewer seats than 3 times the number of Standard-ticket holders, verify whether the seating plan is consistent with the solution. [1 mark]

⋯ 2 more case studies in the full paper ⋯

— End of Question Paper —

Print-ready A4 format·CBSE-pattern structure·Section-wise marks and internal choice

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Question paper generator FAQs

Prices and plan limits are on the pricing page.

Is CraftExam a free question paper generator?

Yes. The Free plan gives you 5 question papers every month with PDF download. Paid plans start at ₹99 a month for 10 papers and add answer keys and Word export.

Which classes and subjects can I make question papers for?

CBSE Maths and Science for Classes 6 to 12, with Physics, Chemistry, Biology and Maths at Classes 11 and 12. Coverage depends on the chapter; Create Paper shows what is available before you generate.

Are the questions based on the 2026-27 NCERT syllabus?

Yes. The question bank follows current NCERT chapters, including the new 2026-27 Class 9 books (Exploration for Science and Ganita Manjari for Maths).

Can I make a unit test, half-yearly or pre-board paper?

Yes. Choose the chapters, total marks and difficulty, and CraftExam builds the paper with sections, marks and internal choice. Use it for unit tests, periodic tests, half-yearly exams, pre-boards and weekly tuition tests.

What types of questions does the generator include?

MCQs, assertion-reason, case-based, short-answer and long-answer questions, arranged in CBSE-style sections. You can replace or regenerate any question before you download.

Do I get an answer key?

Paid plans (Starter, Growth and Pro) include an answer key with solutions. The Free plan lets you preview answers.

Can I download the question paper in Word?

Starter, Growth and Pro include editable Word (DOCX) export as well as PDF, so you can make final changes in MS Word.

Can I add my school name and logo?

Every plan prints your school or tuition name on the paper. Growth and Pro also add your school logo and paper branding.

Is there a question paper making app for mobile?

CraftExam works in the browser on your phone, tablet or laptop, so there is nothing to install.

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