CBSE Class 10 Mathematics Compartment Question Paper 2025 (Available):Download Solution with answer Key

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Shivam Yadav

Updated 3+ months ago

CBSE Class 10 Mathematics Compartment Exam 2025 was conducted on 16 July 2025 (Wednesday) for 3 hours, from 10:30 AM to 1:30 PM. The exam was held for a total of 100 marks, out of which 80 marks are allotted to the theory paper and 20 marks are for internal assessment.

CBSE Class 10 Compartment Question Paper 2025 for Mathematics along with the solutions is available here. The exam included key topics like Algebra, Geometry, Mensuration, Statistics, Probability, Coordinate Geometry and Trigonometry.

Also Check: CBSE Class 10 Question Paper 2025 With Solution Pdf

CBSE Class 10 Mathematics Compartment Exam 2025 (Memory Based)

CBSE Class 10 Maths Compartment Question Paper 2025 Download PDF Check Solution
CBSE Class 10 2025 Mathematics Compartment Question Paper with Solution


Question 1:

If the given figure shows the graph of polynomial \( y = ax^2 + bx + c \), then:


  • (A) \( a < 0 \)
  • (B) \( b^2 < 4ac \)
  • (C) \( c > 0 \)
  • (D) \( a and b are of same sign \)

Question 2:

The total number of factors of the square of a prime number is:

  • (A) 1
  • (B) 2
  • (C) 3
  • (D) 4

Question 3:

The value of \( k \) for which the pair of linear equations
\( (k+1)x + 2y = 15, \quad 4y = 3x - 8 \) has no solution, is:

  • (A) 3
  • (B) \( \dfrac{1}{5} \)
  • (C) 5
  • (D) \( \dfrac{37}{8} \)

Question 4:

The 6th term of the AP \( \sqrt{27}, \sqrt{75}, \sqrt{147}, \ldots \) is:

  • (A) \( \sqrt{243} \)
  • (B) \( \sqrt{363} \)
  • (C) \( \sqrt{300} \)
  • (D) \( \sqrt{507} \)

Question 5:

In the given figure, \( PQ \) and \( PR \) are tangents to the circle such that \( PQ = 7 \, cm \) and \( \angle RPQ = 60^\circ \).




The length of chord QR is:

  • (A) 5 cm
  • (B) 7 cm
  • (C) 9 cm
  • (D) 14 cm

Question 6:

Raina is 1.5 m tall. At an instant, his shadow is 1.8 m long. At the same instant, the shadow of a pole is 9 m long. How tall is the pole?

  • (A) 6.5 m
  • (B) 7.5 m
  • (C) 8.5 m
  • (D) 6.2 m

Question 7:

Cards numbered 10, 11, 12, ..., 30 are kept in a box and shuffled thoroughly. Rahit draws a card at random from the box. The probability that the number on the card is a multiple of 6 or 5 is:

  • (A) \( \dfrac{9}{20} \)
  • (B) \( \dfrac{9}{21} \)
  • (C) \( \dfrac{10}{20} \)
  • (D) \( \dfrac{10}{21} \)

Question 8:

M is a point on y-axis at a distance of 4 units from x-axis and it lies below the x-axis. The distance of point M from point Q(3, 1) is:

  • (A) \( \sqrt{2} \, units \)
  • (B) \( \sqrt{24} \, units \)
  • (C) \( \sqrt{50} \, units \)
  • (D) \( \sqrt{60} \, units \)

Question 9:

If \( x = p \cos^3 \alpha \) and \( y = q \sin^3 \alpha \), then the value of
\( \left( \frac{x}{p} \right)^{2/3} + \left( \frac{y}{q} \right)^{2/3} is: \)

  • (A) 1
  • (B) 2
  • (C) p
  • (D) q

Question 10:

In the given figure, a circle inscribed in \( \triangle ABC \) touches \( AB, BC, \) and \( CA \) at \( X, Z, \) and \( Y \) respectively.




If \( AB = 12 \, cm, AY = 8 \, cm, \) and \( CY = 6 \, cm \), then the length of \( BC \) is:

  • (A) 14 cm
  • (B) 12 cm
  • (C) 10 cm
  • (D) 8 cm

CBSE Class 10 Compartment Exam 2025 – Difficulty Levels

The CBSE Class 10 Compartment Exam 2025 was slightly easier than the previous year, with most questions based on core NCERT concepts and designed to test basic understanding

Subject Difficulty Level Remarks
Mathematics (Standard) Moderate to Difficult Application-based questions, tricky topics like Algebra & Trigonometry
Mathematics (Basic) Easy to Moderate Mostly formula-based and straightforward questions
Science Easy to Moderate Well-balanced between theory and numericals
English Easy to Moderate Focus on grammar, comprehension, and writing skills
Hindi Easy to Moderate Straightforward questions from textbook and grammar
Social Science Moderate Includes case studies, maps, and concept-based questions
Computer Applications Easy Basic theory and simple programming logic
Sanskrit / Other Languages Moderate Grammar-focused, needs memorization and clarity

Important Questions For CBSE Class 10 Maths Compartment Exam 2025

CBSE X Questions

  • 1.
    If the roots of quadratic equation \(4x^2 - 5x + k = 0\) are real and equal, then value of \(k\) is:

      • \(\frac{5}{4}\)
      • \(\frac{25}{16}\)
      • \(-\frac{5}{4}\)
      • \(-\frac{25}{16}\)

    • 2.
      The roots of the quadratic equation \(x^2 + x – p (p + 1) = 0 \)are :

        • p, p + 1
        • – p, p + 1
        • – p, – (p + 1)
        • p, – ( p + 1)

      • 3.
        A quadratic polynomial having zeroes 0 and -2, is

          • \( x(x-2) \)
          • \( 4x(x+2) \)
          • \( x^2 + 2 \)
          • \( 2x^2 + 2x \)

        • 4.
          $(\sec \theta + \tan \theta)(1 - \sin \theta)$ is equal to:

            • $\sec \theta$
            • $\sin \theta$
            • $\cosec \theta$
            • $\cos \theta$

          • 5.
            The roots of the quadratic equation \(x^2 + x – p (p + 1) = 0 \)are :

              • p, p + 1
              • – p, p + 1
              • – p, – (p + 1)
              • p, – ( p + 1)

            • 6.
              Choose the correct option. Justify your choice. \(\frac{(1 + \text{tan}^2 A)}{(1 +\text{ cot}^ 2 A)}\)

                • sec2A

                • -1

                • cot2A

                • tan2A

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