CBSE ExamCBSE Class 12 Maths Sample Paper 2024-25: Download Sample Paper PDF With Marking Scheme For Free!

CBSE Class 12 Maths Sample Paper 2024-25: Download Sample Paper PDF With Marking Scheme For Free!

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Are you a Class 12 CBSE student looking for an updated Mathematics sample paper to strengthen your exam preparation? Don’t worry, we’ve got you covered! This article provides the latest Class 12 Maths sample paper to help students practice effectively. Sample papers or model papers are great resources for board exam preparation. By solving this sample paper, students can gain a better understanding of the subject before their final exams. It also helps them identify important questions and their weightage in the exam.

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    CBSE Class 12 Maths Sample Paper 2024-25

    We are offering a free math sample paper for students to download in PDF format. PDFs are easy to access and can be saved on computers, laptops, and phones. Students can also view images of the sample papers before downloading.

    Year-wise CBSE 12 Maths Sample Paper Download PDF

    Year Maths
    2024 CBSE class 12 maths sample paper 2023-24 Basic
    2024 CBSE class 12 maths sample paper 2023-24 Standard
    2023 CBSE class 12 maths sample paper 2022-23 Basic
    2023 CBSE class 12 maths sample paper 2022-23 Standard

    CBSE Class 10 Maths Sample Paper 2024-25

    Time Allowed: 3 hours | Maximum Marks: 80

    General Instructions:

    1. All questions are compulsory.
    2. The question paper consists of 30 questions divided into four sections A, B, C, and D.
    3. Section A contains 6 questions of 1 mark each.
    4. Section B contains 6 questions of 2 marks each.
    5. Section C contains 10 questions of 3 marks each.
    6. Section D contains 8 questions of 4 marks each.
    7. Use of calculators is not permitted.

    Section A (1 mark each)

    1. What is the distance between the points (1, 2) and (4, 6)?
    Answer: 5
    2. Find the zeroes of the quadratic polynomial \(x^2 – 5x + 6\).
    Answer: Zeroes are 2 and 3.
    3. If the mean of 10, 12, 14, x, and 16 is 12, find the value of x.
    Answer: x = 8
    4. Find the value of \(\sin 30^\circ\).
    Answer: \(\sin 30^\circ = \frac{1}{2}\)
    5. A coin is tossed 3 times. What is the probability of getting exactly two heads?
    Answer: Probability = \(\frac{3}{8}\)
    6. Write the pair of linear equations that represent the following situation: The sum of two numbers is 12, and their difference is 4.
    Answer: \(x + y = 12\), \(x – y = 4\)

    Section B (2 marks each)

    7. Solve the following quadratic equation: \(2x^2 – 5x + 3 = 0\).
    Answer: x = \(\frac{3}{2}, \frac{1}{2}\)
    8. Find the mode of the following data: 5, 7, 7, 8, 10, 10, 10, 12, 14.
    Answer: Mode = 10
    9. A circle has a radius of 7 cm. Find the area of the circle.
    Answer: Area = 49π ≈ 153.94 cm²
    10. Prove that \(\triangle ABC \sim \triangle PQR\) if \(\frac{AB}{PQ} = \frac{BC}{QR} = \frac{CA}{PR}\).
    Answer: \(\triangle ABC \sim \triangle PQR\) by AA similarity criterion
    11. Find the median of the following data: 2, 6, 9, 12, 15, 18, 20.
    Answer: Median = 9
    12. If the probability of an event occurring is \( \frac{1}{5} \), find the probability of the event not occurring.
    Answer: Probability = \( \frac{4}{5} \)

    Section C (3 marks each)

    13. Find the roots of the quadratic equation \(x^2 + 7x + 10 = 0\) using the factorization method.
    Answer: Roots = -2 and -5
    14. Solve for x and y: \( 3x + 4y = 10 \) and \( 5x – 2y = 4 \).
    Answer: x = 2, y = 1
    15. Prove that the tangent at any point of a circle is perpendicular to the radius at that point.
    Answer: Proof using geometry
    16. A solid cylinder has a radius of 5 cm and a height of 14 cm. Find the volume of the cylinder.
    Answer: Volume = 1100 cm³
    17. If a pair of linear equations in two variables has infinitely many solutions, what is the condition on the coefficients?
    Answer: Condition: \(a_1/a_2 = b_1/b_2 = c_1/c_2\)
    18. Calculate the probability of drawing a red card from a deck of 52 cards.
    Answer: Probability = \( \frac{26}{52} = \frac{1}{2} \)
    19. Find the value of \(\tan 45^\circ + \cot 45^\circ\).
    Answer: 2
    20. Find the area of a triangle with base 8 cm and height 12 cm.
    Answer: Area = 48 cm²
    21. Calculate the mean of the following data: 5, 9, 12, 15, 18.
    Answer: Mean = 11.8

    Section D (4 marks each)

    22. A bag contains 3 red balls, 4 green balls, and 5 blue balls. A ball is drawn at random. Find the probability of drawing a red ball or a green ball.
    Answer: Probability = \( \frac{7}{12} \)
    23. Prove that the sum of the angles of a quadrilateral is 360°.
    Answer: Proof using angles of a quadrilateral
    24. If the sum of the first n terms of an AP is given by \(S_n = 3n^2 + 5n\), find the 10th term.
    Answer: 10th term = 355
    25. Solve the following system of equations by substitution: \(x + y = 7\) and \(2x – 3y = 4\).
    Answer: x = 5, y = 2
    26. Find the area of a sector of a circle with radius 7 cm and angle 60°.
    Answer: Area = 25.48 cm²
    27. In a right-angled triangle, if one angle is 30°, find the length of the side opposite the angle if the hypotenuse is 10 cm.
    Answer: Opposite side = 5 cm
    28. A spherical ball has a radius of 5 cm. Find the surface area of the ball.
    Answer: Surface area = 314.16 cm²
    29. Prove that the lengths of tangents drawn from an external point to a circle are equal.
    Answer: Proof using geometry

    Benefits of Practicing Sample Papers

    1. Understand Exam Pattern: Sample papers give you a clear understanding of the types of questions (MCQs, short answers, long answers), marks distribution, and time allocation.
    2. Time Management: Solve papers within the exam time limit to improve speed and accuracy.
    3. Identify Weak Areas: Highlight topics where you need more practice and work on them.
    4. Improve Confidence: Regular practice reduces anxiety and boosts confidence before the exam.
    5. Get Familiar with Marking Scheme: Understand how marks are allocated to ensure you include all necessary steps in your solutions.

    Where to Find CBSE Class 12 Maths Sample Papers

    1. CBSE Official Website: CBSE releases sample papers every year. Download the latest sample papers for Class 12 Maths from cbseacademic.nic.in.
    2. NCERT Website: Practice NCERT exemplar problems for additional preparation.
    3. Educational Apps and Websites: Platforms like Infinity Learn offer free and paid sample papers with solutions.
    4. Reference Books: Books like “Oswaal CBSE Sample Question Papers” and “Arihant’s All-in-One” include a variety of sample papers for practice.
    5. School Materials: Schools often provide additional practice papers curated by teachers.

    FAQs on CBSE Class 12 Maths Sample Paper 2024-25

    Is CBSE Class 12 maths paper tough?

    The difficulty of the CBSE Class 12 maths paper depends on the preparation level of the student. For well-prepared students, the paper is generally moderate and application-based. However, it can seem tough if the concepts are unclear or practice is insufficient. CBSE also balances the paper with a mix of easy, moderate, and challenging questions to cater to all students.

    Has CBSE released sample paper 2024 Class 12?

    Yes, CBSE has released the official sample papers for the Class 12 board exams 2024 on their official website. Students can access these sample papers to understand the exam pattern, question types, and marking scheme for the 2024 board exams.

    Is CBSE sample paper released for 2024-25?

    As of now, CBSE has not released the sample papers for the 2024-25 academic year. Sample papers for the next academic session are usually released closer to the start of the academic year or a few months before the board exams.

    Has CBSE released 2024-25 sample paper?

    No, CBSE has not yet released the sample papers for the 2024-25 academic session. Students should regularly check the official CBSE website for updates.

    Is CBSE released sample paper for 2025 for Class 12?

    No, CBSE has not released the sample papers for the Class 12 board exams for the 2025 academic year. The sample papers for the upcoming academic session are typically made available later in the year.

    What is the pattern of CBSE Class 12 2024-25?

    The exact pattern for the CBSE Class 12 exams for the 2024-25 academic session will be confirmed once CBSE releases the sample papers or curriculum guidelines for that session. Generally, the pattern includes a mix of multiple-choice questions (MCQs), short answer questions (SAQs), and long answer questions (LAQs). The weightage for theory and practicals depends on the subject. It's best to refer to the latest CBSE curriculum for updates.

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