CBSE Class 10 Standard Mathematics Answer Key 2025

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CBSE has conducted Class 10 Mathematics paper on 10.03.2025. So, as usual, we are going to provide you CBSE Class 10 Standard Mathematics Answer Key 2025. These answer keys pertain to Standard Mathematics code 30/3/1.

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These answer keys of mathematics have been prepared by the expert with having more than 15 years of experience teaching.

Q.1 If tan 3θ = √3 , then θ/2 equals

Answer

Answer: Option (D) – 10°

Q.2 If x is the LCM of 4, 6, 8 and y is the LCM of 3, 5, 7 and p is the LCM of x and y, then which of the following is true?

Answer

Answer: Option (A) – (p=35x)

Q.3 The value of ‘k’ for which the system of linear equations 6x + y = 3k and 36x + 6y = 3 have infinitely many solutions is:

Answer

Answer: Option (B) – 1/6

Q.4 If α and β are the zeroes of the polynomial p(x) = x² – ax – b, then the value of (α + β + αβ) is equal to:

Answer

Answer: Option (C) (a-b)

Q.5 If x/12 – 3/x = 0, then the values of x are:

Answer

Answer: Option (A) (±6)

Q.6 The line represented by x/4 + y/6 = 1, intersects x-axis and y-axis respectively at P and Q. The coordinates of the mid-point of line segment PQ are:

Answer

Answer: Option (A) (2,3)

Q.7 Two of the vertices of ΔPQR are P(-1, 5) and Q(5, 2). The coordinates of a point which divides PQ in the ratio 2:1 are:

Answer

Answer: Option (C) (3,3)

Q.8 If tangents PA and PB drawn from an external point P to the circle with centre O are inclined to each other at an angle of 80° as shown in the given figure, then the measure of ∠POA is:

Answer

Answer: Option (B) – 50°

Q.9 (cot θ + tan θ) equals:

Answer

Answer: Option (A) (cosec θ sec θ)

Q.10 If in two triangles Δ DEF and Δ PQR, ∠D = ∠Q and ∠R = ∠E, then which of the following is not true?

Answer

Answer: Option (D) (DE/PQ = EF/RP)

Q.11 The measurements of Δ LMN and Δ ABC are shown in the figure given below. The length of side AC is:

Answer

Answer: Option (C) – 8cm

Q.12 If the volumes of two cubes are in the ratio 8:125, then the ratio of their surface areas is:

Answer

Answer: Option (B) (4:25)

Q.13 If the area of a sector of circle of radius 36 cm is 54π cm², then the length of the corresponding arc of the sector is:

Answer

Answer: Option (C) (3π cm)

Q.14 A die is thrown once. The probability of getting a number which is not a factor of 36, is:

Answer

Answer: Option (C) (1/6)

Q.15 If the mean of 2, 9, x+6, 2x+3, 5, 10, 5 is 7, then the value of x is:

Answer

Answer: Option (D) – 3

Q.16 AOBC is a rectangle whose three vertices are A(0, 2), O(0, 0) and B(4, 0). The square of the length of its diagonal is equal to:

Answer

Answer: Option (B) (20)

Q.17 Zeroes of the polynomial p(x) = x² – 3√2x + 4 are:

Answer

Answer: Option (B) (2√2, √2)

Q.18 In the given figure, in ΔABC, AD ⊥ BC and ∠BAC = 90°. If BC = 16 cm and DC = 4 cm, then the value of x is:

Answer

Answer: Option (C) (8 cm)

Q.19 Assertion (A): A ladder leaning against a wall, stands at a horizontal distance of 6 m from the wall. If the height of the wall up to which the ladder reaches is 8 m, then the length of the ladder is 10 m.

Reason (R): The ladder makes an angle of 60° with the ground.

Answer

Answer: Option (C) – Assertion (A) is true, but Reason (R) is false.

Q.20 Assertion (A): If two tangents are drawn to a circle from an external point, then they subtend equal angles at the centre of the circle.

Reason (R): A parallelogram circumscribing a circle is a rhombus.

Answer

Answer: Option (B) – Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).

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