CBSE Class 10 Math Answer Key 2025 (Available): Detailed Exam Analysis

Ques 1: The diameter of a wheel is 63 cm. The distance travelled by the wheel in 100 revolutions is

(B) 198 m

Ques 2: The mean of seven observations is 17. If the mean of the first four observations is 15 and that of the last four observations is 18, then the fourth observation is 

(B) 13

Ques 3: The distance of the point (4, 0) from x-axis is

(C) 0 Units

Ques 4: If a and ß are zeroes of the polynomial p(x) = kx2 - 30x + 45k and a +ß = aß, then the value of 'k' is :

(D) 2/3

Ques 5: The radii r' of a sphere and that of the base of a cone are same. If their volumes are also same, then the height of the cone is :

(A) r

Ques 6: If in a lottery, there are 10 prizes and 30 blanks, then the probability of winning a prize is

(B) 1/3

Ques 7:  If tan 30 = √3, then θ/2 equals :

(D) 10°

Ques 8: If in two triangles DEF and A PQR, < D = L Q and < R = L E, then which of the following is not true?

(C) EF/RP = DE/QR

Ques 9: In the given figure, in triangle ABC, AD ⊥ BC and < BAC = 90°. If BC = 16 cm and DC = 4 cm, then the value of x is :

(D) 3

Ques 10: Two of the vertices of A PQR are P(-1, 5) and Q(5, 2). The coordinates of a point which divides PQ in the ratio 2: 1 are

(C) 3,3

Ques 11: (cot θ + tan θ) equals :

(A) cosec θ Sec θ

Ques 12: Zeroes of the polynomial p(x) = x2 - 3√2 x + 4are :

(B) 2√2, √2

Ques 13: The value of K' for which the system of linear equations 6x + y = 3k and 36х + 6y = 3 have infinitely many solutions is :

(B) 1/6

Ques 14: The measurements of triangle LMN and triangle ABC are shown in the figure given below. The length of side AC is :

(C) 8 cm

Ques 15: 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 :

(A) 2,3

Ques 16: 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 ?

(A) P=35X

Ques 17: If X/12-3/X= 0, then the values of x are :

(A) + 6

Ques 18: 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

(B) 50°

Ques 19: 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.

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

Ques 20: Assertion: 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: The ladder makes an angle of 60° with the ground.

(D) Assertion (A) is false, but Reason (R) is true.

Overall Difficulty Level of Math Question Paper

Moderate

Difficulty Level of Section A 

Easy

Difficulty Level of Section B

Easy to Moderate

Difficulty Level of Section C

Moderate

Difficulty Level of Section D

Moderate

Difficulty Level of Section E

Moderate to Difficult (Mixed Reactions)

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Students's Reactions

• The questions were of standard level
• Quesyions were doable.
• The case-based questions were tricky.