CBSE Class 10 Maths Sample Paper 2025: CBSE Class 10 Mathematics Board Examination 2025: The CBSE Class 10 Mathematics Standard examination is set to take place on March 10, 2025 (Monday). This subject is crucial as it significantly contributes to enhancing overall scores in the board examinations. To assist students in their preparation, we offer the CBSE Class 10 Mathematics Sample Paper along with Solutions. Crafted by professionals in the field, this resource is perfect for last-minute revisions and for practising essential questions. The provided solutions clarify the correct answers. You can download the CBSE Class 10 Mathematics Paper PDF from the links below to bolster your preparation and achieve a commendable score in the examination.
Math Sample Paper 2025 for CBSE Class 10 with Answers
Review and download the Class 10 Mathematics Standard Sample Paper with Solutions to enhance your preparation for the forthcoming CBSE Class 10 Mathematics Examination 2025.
Determine the value of k for which the system of equations x + (k + l) y = 5 and (k + l) x + 9 y = 8k – 1 has infinitely many solutions. (a) 2 (b) 3 (c) 4 (d) 5
∆ABC is similar to ∆PQR. If AM and PN represent the altitudes of ∆ABC and ∆PQR respectively, and the ratio of the squares of the sides AB and PQ is 25 : 36, Thus, the AM to PN ratio is ——–. 2: 5 (a) 5: 6 (b) 25: 36 (c) (d) 2 : 3
If the circumference of a circle increases from 2π to 4π, what happens to its area in relation to the original area? (a) half (b) double (c) three times (d) four times
The coordinates of the vertices of triangle PQR are P (5,1), Q (1,4), and R (8,5). What type of triangle is ∆PQR? (a) triangle with equal sides (b) A right-angled triangle scalene (c) Right-angled triangle isosceles (d) acute-angled, isosceles triangle
A point (x, y) is located 7 units from the origin. How many such points exist in the third quadrant? (a) 0 (b) 1 (c) 2 (d) Infinitely many
What is the angle in the center of a circle if the area of its sectors makes up 20% of the circle’s overall area? (a) 30˚ (b) 36˚ (c) 45˚ (d) 60˚
If –2 and 3 are the roots of the quadratic polynomial x² + (p + l)x + q, what are the values of p and q? (a) -7, 2; (b) -6, -2; (c) 2, 6; (d) -2, -6
Given that g – 1, g + 3, and 3g – 1 are in arithmetic progression, determine the value of g.
The ratios of the heights and radii of two right circular cones are 1:3 and 3:1, respectively. How do their volumes compare?
(a) 1:3 (b) 2:3 (c) 3:1 (d) 9:1
Identify the 11th term from the end of the sequence 10, 7, 4, …, –62.
(a) –32 (b) –16 (c) –25 (d) 0
In triangles ABC and DEF, if ∠B = ∠E, ∠F = ∠C, and AB = 3DE, then the two triangles are classified as:
(a) congruent but not similar
(b) similar but not congruent
(c) neither congruent nor similar
(d) congruent and similar
Statement A (Assertion): The highest common factor (HCF) of 26 and 91 is 13, and the least common multiple (LCM) is 182. Statement R (Reason): The relationship HCF(a,b) × (a × b) = LCM(a,b) holds true.
(a) Both Assertion (A) and Reason (R) are true, and Reason (R) correctly explains Assertion (A) (b) Both Assertion (A) and Reason (R) are true, but Reason (R) does not correctly explain 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 midpoint of a line segment divides it in the ratio of 1:1. Reason (R): Three points are collinear if they lie on the same straight line.
(a) Both Assertion (A) and Reason (R) are true, and Reason (R) correctly explains Assertion (A) (b) Both Assertion (A) and Reason (R) are true, but Reason (R) does not correctly explain Assertion (A) (c) Assertion (A) is true, but Reason (R) is false Assertion (A) is incorrect, while Reason (R) is accurate.
What is the highest common factor (HCF) of the smallest prime number and the smallest composite number?
If the mode and mean of a dataset are 8 and 9, respectively, what is the median of the dataset?
(a) 8.57
(b) 8.67
(c) 8.97
(d) 9.24
If the area of a sector of a circle is 2/20 of the total area of the circle, what is the angle at the center?
(a) 30˚
(b) 36˚
(c) 45˚
(d) 60˚
Section B
Determine a quadratic polynomial whose roots are (3 + √3) and (3 – √3).
Determine the values of x and y from the equations: 71x + 37y = 253 and 37x + 71y = 287. OR Find the values of x and y for the equations: 26x + 28y – 269 = 0 and 28x + 26y – 271 = 0.
If the volumes of two spheres are in the ratio of 27:64, what is the ratio of their surface areas?
Demonstrate that the lengths of the tangents drawn from an external point to a circle are equal. OR Prove that a parallelogram that circumscribes a circle is a rhombus.
A cow is tethered to a peg at one corner of a rectangular grass field measuring 20 m in length and 16 m in width, using a 14 m long rope. Calculate the area that the cow cannot graze.
