CBSE Class 10 Maths Standard Sample Paper 2027: The Central Board of Secondary Education (CBSE) has released the Class 10 Mathematics Standard Sample Question Paper (SQP) 2026-27 along with its official marking scheme. The sample paper is applicable to students appearing for the CBSE Class 10 Board Exams 2027 and is available on the official CBSE Academic website.
Students can use the CBSE Class 10 Maths Standard Sample Paper 2027 to understand the question paper pattern, section-wise marks distribution, question types and the nature of questions expected in the board examination. The official marking scheme can also help students understand the expected approach and allocation of marks for different questions.
Also Check: CBSE Class 10 Maths Basic Sample Paper 2027 with Marking Scheme
CBSE Class 10 Maths Standard Sample Paper 2027: Highlights
According to the official CBSE sample paper, the Mathematics Standard question paper carries 80 marks and is to be completed in three hours. The paper contains 38 compulsory questions divided into five sections: A, B, C, D and E.
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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 Standard
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Subject Code
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041
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Academic Session
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2026-27
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Board Exam
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2027
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Sample Paper
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Released
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Maximum Marks
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80
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Exam Duration
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3 hours
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Total Questions
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38
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Marking Scheme
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Released
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CBSE Class 10 Maths Standard Sample Paper 2027 PDF
The official CBSE Class 10 Maths Standard Sample Paper 2027 PDF is available on the CBSE Academic website. Students can download the PDF directly from the board's official portal.
General Instructions:Read the following instructions very carefully and strictly follow them:
(i) This Question paper contains 38 questions. All questions are compulsory.
(ii) This Question paper is divided into five Sections – A, B, C, D and E.
(iii) In Section A, Question number 1 to 18 are Multiple Choice Questions (MCQs) and Question number 19 and 20 are Assertion - Reason based questions of 1 mark each.
(iv) In Section B, Question number 21 to 25 are Very Short Answer (VSA)-type questions, carrying 2 marks each.
(v) In Section C, Question number 26 to 31 are Short Answer (SA)-type questions carrying 3 marks each.
(vi) In Section D, Question number 32 to 35 are Long Answer (LA)-type questions carrying 5 marks each.
(vii) In Section E, Question number 36 to 38 are case study-based questions carrying 4 marks each.
(viii) There is no overall choice. However, an internal choice has been provided in 2 questions in Section B, 2 questions in Section C and 2 questions in Section D. An internal choice has been provided in all the sub parts having 2 marks of questions in section E.
(ix) Draw neat and clean figures wherever required. Take π = 22/7 wherever required, if not stated.
(x) Use of calculators is not allowed.
SECTION – A (20 x 1 = 20)This section comprises 18 multiple choice questions and two questions of assertion and reasoning type 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.
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The greatest number which divides both 134 and 188, leaving remainders 4 and 6 respectively, is:
(A) 13 (B) 26 (C) 39 (D) 65
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1 |
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2.
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If f(x) = px 2 + qx + r, p ≠ 0 and p + r = q, then one of the zeroes of f(x) is:
(A) q/p (B) r/p (C) −r/p (D) −q/p
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1
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3.
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Tarun correctly solved a pair of linear equations in two variables and found their only point of intersection as (5, – 1). One of the lines was x – y = 6. Which of the following could have been the other line?
I: 3x – 3y = 18
II: 2x – 3y = 13
III: 2x – 3y = 16
(A) I only (B) II only (C) I and II (D) II and III
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1
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4.
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If (1 – p) is a root of the quadratic equation x 2 + px + 1 – p = 0, then its roots are:
(A) 0, 1 (B) – 1, 1 (C) 0, – 1 (D) – 1, 2
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1
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5.
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The middle term of the A.P.: 10, 7, 4, …, – 62 is:
(A) – 26 (B) – 29 (C) – 32 (D) – 35
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1
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6.
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The perimeters of two similar triangles are 56 cm and 70 cm respectively. If one side of the first triangle is 14 cm, then the corresponding side of the second triangle (in cm) is:
(A) 5 (B) 7.5 (C) 10 (D) 17.5
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1
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7.
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The point which lies on the perpendicular bisector of the line segment joining the points A (– 3, – 4) and B (3, 4) is:
(A) (0, 0) (B) (0, 3) (C) (3, 0) (D) (0, 4)
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1
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8.
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If tan (A + B) = √3 and tan (A – B) = 1/√3 , 0° < A + B < 90°, A > B, then the value of A and B respectively are:
(A) 60°, 30° (B) 60°, 45° (C) 45°, 15° (D) 60°,15°
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1
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9.
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T-shirts marked with numbers 4 to 99 are placed in a box. Gunika is fond of numbers. She randomly takes out a T-shirt from this box. The probability that she gets a T-shirt marked with a number that is either a perfect square or a perfect cube is:
(A) 1/12 (B) 1/32 (C) 11/96 (D) 5/48
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1
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10.
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The diameter of a car wheel is 21 cm. The number of complete revolutions it will make in moving 66 km is:
(A) 10 4 (B) 10 5 (C) 10 6 (D) 10 7
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1
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11.
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Two cubes each of volume 64 cm3 are joined end to end to form a solid. The surface area of the resultant cuboid is:
(A) 192 cm 2 (B) 160 cm 2 (C) 96 cm 2 (D) 80 cm 2
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1
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12.
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The mean age of a combined group of men and women is 35 years. If the mean ages of the men and women are 38 years and 30 years respectively, then the percentage of women in the group is:
(A) 15 (B) 25.5 (C) 35 (D) 37.5
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1
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13.
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Two dice are rolled simultaneously. The probability of getting number less than 4 on each die is:
(A) 1/4 (B) 1/9 (C) 1/36 (D) 1/6
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1
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14.
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PM is a median of Δ PQR with vertices P (5, – 6), Q (6, 4) and R (0, 0). The length of PM is:
(A) 2√17 units (B) 2√15 units (C) √101 units (D) 10 units
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1
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15.
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The arc of a circle is of length 6𝜋 cm and the sector it bound has an area of 24𝜋 cm 2 . The radius of the circle is:
(A) 4 cm (B) 8 cm (C) 16 cm (D) 18 cm
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1
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16
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The mean and median of the data are 35.5 and 32 respectively. The value of mode for this data is:
(A) 23 (B) 26 (C) 25 (D) 30
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1
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17.
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A flying kite is tied to a point on the ground with the help of a string. The string makes an angle θ with the ground level such that tan θ = 12/5 . If the length of the string is 52 m, then the height of the kite above the ground is:
(A) 40 m (B) 45.5 m (C) 48 m (D) 50 m
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1
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18.
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2 cards of diamonds and 4 cards of spades are missing from a pack of 52 cards. A card is drawn at random from this pack. The probability of getting a card of heart is:
(A) 13/52 (B) 13/46 (C) 11/52 (D) 11/46
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1
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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 Reason (R) is the correct explanation of Assertion (A).
(B) Both Assertion (A) and Reason (R) are true but Reason (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.
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19.
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Assertion (A): If three vertices of a parallelogram taken in order are (–1, –6), (2, – 5) and (7, 2), then its fourth vertex is (4,1).
Reason (R): Diagonals of a parallelogram bisect each other.
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1
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20.
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Assertion (A): If zeroes of the polynomial (2k – 1) x 2 + 4x – 3 are reciprocal of each other, then k = –1.
Reason (R): If a = c, then zeroes of the polynomial ax 2 + bx + c, a ≠ 0 are reciprocal of each other.
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1
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To download the rest of the sample paper, we are providing the link below:
CBSE Class 10 Maths Standard Marking Scheme 2027 PDF
Along with the sample question paper, CBSE has also released the official Mathematics Standard marking scheme. It provides answers and solution hints for the questions and indicates the marks allotted to different steps wherever applicable.
CHECK: CBSE Class 10 Maths (Standard) Marking Scheme 2026-27
CBSE Class 10 Maths Standard 2027 Question Paper Pattern
The Mathematics Standard sample paper has been divided into five sections: A, B, C, D and E. The section-wise pattern is as follows:
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Section
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Question Numbers
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Type of Questions
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Marks
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Section A
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1–20
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MCQs and Assertion-Reason
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20
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Section B
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21–25
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Very Short Answer
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10
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Section C
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26–31
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Short Answer
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18
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Section D
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32–35
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Long Answer
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20
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Section E
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36–38
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Case Study-Based
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12
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Total
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1–38
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80
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Section A contains 20 questions carrying one mark each. Questions 1 to 18 are multiple-choice questions, while Questions 19 and 20 are assertion-reasoning-based questions.
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Section B consists of five very short answer questions, carrying two marks each. The sample paper provides internal choices in two questions in this section.
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Section C contains six short-answer questions of three marks each. Internal choices are provided in two questions.
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Section D consists of four long-answer questions carrying five marks each. Students are required to show appropriate steps and mathematical reasoning while solving these questions.
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Section E includes three case-study-based questions carrying four marks each. Each case study has three sub-parts carrying 1, 1 and 2 marks respectively.
How to Use the CBSE Class 10 Maths Standard Sample Paper 2027?
Students should first attempt the complete sample paper within the prescribed three-hour duration without referring to the solutions. After completing it, they can use the official marking scheme to check their answers and identify where marks may be lost.
The marking scheme is particularly useful for checking step-wise calculations, mathematical reasoning and the method used to arrive at an answer. Students should therefore avoid checking only the final answer and instead compare their complete solution with the official marking scheme.
Practicing the official SQP can also help students become familiar with the distribution of questions across MCQs, assertion-reason questions, short-answer questions, long-answer questions and case-study-based questions.