The Central Board of Secondary Education (CBSE) has released the Class 10 Sample Question Papers (SQPs) and Marking Schemes for the 2026-27 academic session. Students preparing for the CBSE Class 10 Board Exams 2027 can access the official Mathematics (Basic) Sample Paper 2027 and its corresponding marking scheme through the CBSE Academic website.
The official CBSE Class 10 SQP page includes separate Sample Question Paper and Marking Scheme links for Mathematics (Basic) as well as Mathematics (Standard). The sample papers are intended to familiarise students with the question paper design and help them understand the assessment pattern for the upcoming board examination.
CBSE Class 10 Maths Basic Sample Paper 2027: Key Highlights
The CBSE Class 10 Mathematics (Basic) Sample Paper 2026-27 is designed as per the latest exam pattern and evaluation scheme. Below are the key details, including marks distribution, number of questions, and section-wise structure of the paper:
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Particulars
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Details
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Board
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Central Board of Secondary Education
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Class
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Class 10
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Subject
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Mathematics (Basic)
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Subject Code
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241
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Academic Session
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2026-27
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Board Exam
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CBSE Class 10 Board Exam 2027
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Sample Paper
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Available
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Marking Scheme
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Available
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Official Website
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cbseacademic.nic.in
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General Instructions Read the following instructions carefully and follow them:
1. This question paper contains 38 questions. All questions are compulsory.
2. This question Paper is divided into 5 Sections A, B, C, D and E.
3. In Section A, Question numbers 1-18 are multiple choice questions (MCQs) and question no.19 and 20 are Assertion- Reason based questions of 1 mark each.
4. In Section B, Question numbers 21-25 are very short answer (VSA) type questions, carrying 02 marks each.
5. In Section C, Question numbers 26-31 are short answer (SA) type questions, carrying 03 marks each.
6. In Section D, Question numbers 32-35 are long answer (LA) type questions, carrying 05 marks each.
7. In Section E, Question numbers 36-38 are case study-based questions carrying 4 marks each with sub parts of the values of 1, 1 and 2 marks each respectively.
8. There is no overall choice. However, an internal choice in 2 questions of Section B, 2 questions of Section C and 2 questions of Section D has been provided. An internal choice has been provided in all 2 marks questions of Section E.
9. Draw neat and clean figures wherever required. Take 𝝅 = 22/7 wherever required if not stated.
10. Use of calculators is not allowed.
SECTION – A (20 × 1 = 20)This section comprises of 18 multiple choice questions and two assertion and reason type questions of 1 mark each.
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Q. No
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Question
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Marks
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| 1. |
If HCF (2520, 6600) = 40 and LCM (2520, 6600) = 252 × k, then the value of k is
(A) 165 (B) 1600 (C)1625 (D)1650 |
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| 2. |
If α and β are the Zeroes of the polynomial 2x 2 − 4x − 5, the value of (α − β) 𝟐 is
(A) 4 (B) 6 (C) 14 (D) 56
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| 3. |
For what value of 𝑝 does the pair of Linear equations 4𝑥 + 𝑝𝑦 + 8 = 0 and 2𝑥 +2𝑦 + 2 = 0 has a unique solution
(A) 𝑝 = 4 only (B) 𝑝 = 2 only (C) 𝑝 ≠ 4 (D)𝑝 ≠ 2
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1 | |||||||||||
| 4. |
The sum of the numerator and denominator of a fraction is 11. If the denominator is increased by 1, the fraction becomes 1/2, then the fraction is
(A) 2/9 (B) 3/8 (C) 4/7 (D) 5/6
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1 | |||||||||||
| 5. |
If one root of the quadratic equation 𝑎x 2 + 𝑏𝑥 + 𝑐 = 0 is the reciprocal of the other, then
(A) 𝑏 = 𝑐 (B) 𝑎 = 𝑏 (C) 𝑎𝑐 = 1 (D) 𝑎 = c
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1 | |||||||||||
| 6. |
The first term of AP is 𝑝 and the common difference is 𝑞 , then its 10th term is
(A) 𝑞 + 10𝑝 (B) 𝑝 − 9𝑞 (C) 𝑝 + 9𝑞 (D) 𝑝 + 10q
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1 | |||||||||||
| 7. |
Which term of the AP: 21, 42, 63, 84 ... is 210?
(A) 9 th (B) 10th (C) 11th (D) 12th
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| 8. |
If the point P (5, 2) divides the line segment joining A( 8, 5) and B( 4, 𝒚) in the ratio 3 : 1, then the value of 𝒚 is
(A) 4 (B) 3 (C) 2 (D) 1
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| 9. |
A letter from the word INDEPENDENCE is selected at random. What is the probability that the letter selected is a vowel which occurs the maximum number of times in the given word?
(A) 1/12 (B) 1/4 (C) 1/3 (D) 5/12
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| 10. |
For the following distribution
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The lower limit of the median class is
(A) 5 (B) 10 (C) 15 (D) 20
The length of a tangent drawn from a point at a distance of 10 cm from the centre of the circle is 8 cm. The radius of the circle is
(A) 4 cm (B) 5 cm (C) 6 cm (D) 7 cm
Mean and median of certain data are 32 and 30 respectively. Using empirical formula, the value of mode is
(A) 36 (B) 26 (C) 30 (D) 20
A ladder 15 m long reaches a window 12 m above the ground. The distance of the foot of the ladder from the base of the wall is
(A) 8 m (B) 9 m (C) 10 m (D) 13 m
The value of sin2 60° − 2 tan2 45° − cos230° is
(A) −2 (B) −1 (C) 1 (D) 2
If in ∆ABC and ∆PQR , ∠B = ∠Q, ∠R = ∠C and AB = 2PQ, then the two triangles are
(A) Congruent but not similar
(B) Similar but not congruent
(C)Neither congruent nor similar
(D) Congruent as well as similar
If tangents PA and PB from a point P to a circle with centre O and respective point of contacts as A and B, are inclined to each other at angle of 80°, then ∠AOB is equal to
(A) 60° (B) 70° (C) 80° (D)100°
The perimeter of two similar triangles is 28 cm and 35 cm respectively. If one side of the first triangle is 8cm, then the corresponding side of the second triangle is
(A) 10 cm (B) 12cm (C) 14cm (D) 16cm
Two cubes each of volume 64cm3 are joined end to end to form a cuboid. The total surface area of the resulting cuboid is
(A) 128 cm2 (B) 160 cm2 (C) 176 cm2 (D) 192 cm2
Assertion-Reason Based Questions Directions:
Questions number 19 and 20 are Assertion and Reason based questions carrying 1 mark each. Two statements are given, one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer from the options (A), (B), (C) and (D) as given below:
(A) Both Assertion (A) and Reason(R) are true and (R) is the correct explanation of Assertion (A).
(B) Both Assertion (A) and Reason (R) are true but (R) is not the correct explanation of Assertion (A).
(C) Assertion (A) is true but Reason (R) is false.
(D) Assertion (A) is false but Reason (R) is true.
ASSERTION (A): The probability of getting number 8 on rolling a die is zero (0)
REASON (R): The probability of an impossible event is zero (0)
ASSERTION (A): If a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side.
REASON (R): Line drawn from midpoint of one side of triangle parallel to another will bisect the third side.
CBSE Class 10 Maths Question Paper Pattern 2026
The question paper will contain 38 questions, all of which are compulsory. It will be divided into five sections: A, B, C, D, and E as described below:
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Section
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Question Numbers
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Question Type
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Marks per Question
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Total Marks
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A
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1–18
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Multiple Choice Questions (MCQs)
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1 mark each
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20
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19–20
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Assertion-Reason Based
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1 mark each
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B
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21–25
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Very Short Answer (VSA)
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2 marks each
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10
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C
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26–31
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Short Answer (SA)
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3 marks each
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18
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D
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32–35
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Long Answer (LA)
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5 marks each
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20
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E
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36–38
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Case Study-Based Questions
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4 marks each (sub-parts: 1, 1, 2 marks)
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12
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To download the rest of the sample paper, we are providing the link below:
CBSE Class 10 Maths (Basic) Marking Scheme 2026-27
Since students are now receiving a sample paper, we are also giving them the marking guidelines and the solutions. The marking scheme and answers are available for students to view after completing the example papers.
Students will first be able to view some images of the marking scheme before downloading the PDF for free.
CBSE Class 10 Maths Standard Sample Paper 2027: How to Use It for Preparation
Students should avoid simply reading the sample paper. Instead, they should attempt it as a full-length mock examination.
Set a timer and solve the complete paper without referring to textbooks, notes or solution material. After completing the paper, compare the answers with the official marking scheme.
Students should also maintain a list of questions they could not solve or where they lost marks. These questions can then be categorised into calculation errors, formula-related mistakes, conceptual gaps or time-management issues.
This approach can make sample-paper practice more useful than repeatedly solving questions without analysing mistakes.
Also Check: Stream Wise CBSE 12 Sample Papers 2027