Mathematics – Class 10 – Solved Question Papers – For 2025 Board Examination

,General Instructions for: solution scan or click qr code
Read the following instructions very carefully and strictly follow them :
(i) This question paper contains 38 questions. All questions are compulsory.
(ii) This question paper is divided into five Sections A, B, C, D and E.
(iii) In Section A, Questions no. 1 to 18 are multiple choice questions (MCQs) and
questions number 19 and 20 are Assertion-Reason based questions of 1 mark
each.
(iv) In Section B, Questions no. 21 to 25 are very short answer (VSA) type
questions, carrying 2 marks each.
(v) In Section C, Questions no. 26 to 31 are short answer (SA) type questions,
carrying 3 marks each.
(vi) In Section D, Questions no. 32 to 35 are long answer (LA) type questions
carrying 5 marks each.
(vii) In Section E, Questions no. 36 to 38 are case study based questions carrying
4 marks each. Internal choice is provided in 2 marks questions in each
case-study.
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(viii) There is no overall choice. However, an internal choice has been provided in
2 questions in Section B, 2 questions in Section C, 2 questions in Section D and
D C

3 questions in Section E.
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(ix) Draw neat diagrams wherever required. Take = wherever required, if not
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stated.
(x) Use of calculators is not allowed.

SECTION A


This section comprises multiple choice questions (MCQs) of 1 mark each.


1. The values of k for which the equation 4x2 + kx + 9 = 0 has real and equal
roots are :
(a) 11 (b) 12
(c) 6 (d) 3

2. The distance of the point (4, 7) from the x-axis is :
(a) 7 units (b) 5 units
(c) 4 units (d) 10 units 1
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3. In a family of two children, the probability of having at least one girl is :
1 2
(a) (b)
2 5
3 1
(c) (d)
4 4

4. The condition for which the pair of equations ax + 2y = 7 and 3x + by = 16
represent parallel lines is :
7
(a) ab = (b ) ab = 6
16
(c) ab = 3 (d) ab = 2

5. The zeroes of the polynomial 3x2 + 11x 4 are :
1 1
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(a) , 4 (b) , 3
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2 4
D C

1 1
(c) , 4 (d) ,4
3 3
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6. cot2 is equal to :
sin 2

(a) 1 (b) 2
(c) 2 (d) 1

7. The coordinates of the point A, where AB is the diameter of the circle
whose centre is (3, 2) and B (7, 4) is :
(a) ( 1, 8) (b) ( 1, 8)
(c) (1, 8) (d) (1, 8)

8. If x, 2x + 9, 4x + 3 are three consecutive terms of an A.P., then the
value of x is :
(a) 3 (b) 10
(c) 13 (d) 15 2
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9. The height of a tower is 20 m. The length of its shadow made on the level
, is :
20 20
(a) m (b) m
3 3

(c) 20 3 m (d) 20 m

10. In the given figure, DE || BC and all measurements are given in
centimetres. The length of AE is :




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D C
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(a) 2 cm (b) 2·25 cm

(c) 2·5 cm (d) 2·75 cm

11. A vertical pole 10 m long casts a shadow of length 5 m on the ground. At
the same time, a tower casts a shadow of length 12·5 m on the ground.
The height of the tower is :

(a) 20 m (b) 22 m

(c) 25 m (d) 24 m

12. Using empirical relationship, the mode of a distribution whose mean is
7·2 and the median 7·1, is :

(a) 6·2 (b) 6·3

(c) 6·5 (d) 6·9
3
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