Class 10th mathematics question paper

SAMPLE QUESTION PAPER
Class X Session 2024-25
MATHEMATICS BASIC (Code No.241)
TIME: 3 hours MAX.MARKS: 80

General Instructions:
Read the following instructions carefully and follow them:
1. This question paper contains 38 questions.
2. This Question Paper is divided into 5 Sections A, B, C, D and E.
3. In Section A, Questions no. 1-18 are multiple choice questions (MCQs) and questions no. 19
and 20 are Assertion- Reason based questions of 1 mark each.
4. In Section B, Questions no. 21-25 are very short answer (VSA) type questions, carrying 02 marks
each.
5. In Section C, Questions no. 26-31 are short answer (SA) type questions, carrying 03 marks each.
6. In Section D, Questions no. 32-35 are long answer (LA) type questions, carrying 05 marks each.
7. In Section E, Questions no. 36-38 are case study based questions carrying 4 marks each with
sub parts of the values of 1, 1 and 2 marks each respectively.
8. All Questions are compulsory. However, an internal choice in 2 Questions of section B, 2
Questions of section C and 2 Questions of section D has been provided. And internal choice has
been provided in all the 2 marks questions of Section E.
9. Draw neat and clean figures wherever required.
10. Take π =22/7 wherever required if not stated.
11. Use of calculators is not allowed.



Section A

Section A consists of 20 questions of 1 mark each.

1. HCF OF (33 × 52 × 2), (32 × 53 × 22 ) 𝑎𝑛𝑑 (34 × 5 × 23 ) is 1
(A) 450 (B) 90 (C) 180 (D) 630

2. The system of linear equations represented by the lines l and m is 1




(A) consistent with unique solution (B) inconsistent
(C) consistent with three solutions (D) consistent with many solutions

3. The value of k for which the quadratic equation 𝑘𝑥 2 − 5𝑥 + 1 = 0 does not have 1
a real solution, is
25 4
(A) 0 (B) (C) 25 (D) 7
4



1

, 4. The distance between the points (𝑎, 𝑏) and (−𝑎, −𝑏) is 1
(A)√𝑎2 + 𝑏 2 (B) 𝑎2 + 𝑏 2 (C) 2 √𝑎2 + 𝑏 2 (D) 4√𝑎2 + 𝑏 2

5. In the given figure, PQ and PR are tangents to a circle centred at O. If 1
∠QPR=35∘ then ∠QOR is equal to




(A) 70∘ (B) 90∘ (C) 135∘ (D) 145∘

6. If △ 𝐴𝐵𝐶 ∼△ 𝑃𝑄𝑅 such that 3AB = 2PQ and BC=10 cm, then length QR is 1
equal to
20
(A) 10 cm (B) 15 cm (C) cm (D) 30 cm
3

7. If 3 cot 𝐴 =4, where 0° < 𝐴 < 90°, then sec 𝐴 is equal to 1
5 4 5 3
(A) 4 (B) (C) 3 (D) 4
3

8. In the given figure, 𝛥𝐵𝐴𝐶 is similar to 1




(A) 𝛥𝐴𝐸𝐷 (B) 𝛥𝐸𝐴𝐷 (C) 𝛥𝐴𝐶𝐵 (D) 𝛥𝐵𝐶𝐴

9. If H.C.F(420,189) = 21 then L.C.M(420,189) is 1
(A) 420 (B) 1890 (C) 3780 (D) 3680

10. The 4𝑡ℎ term from the end of the A.P −8, −5, −2, … ,49 is 1
(A) 37 (B) 40 (C) 1 (D) 43

11. In the given figure, if △ 𝑂𝐶𝐴 ∼△ 𝑂𝐵𝐷 then ∠𝑂𝐴𝐶 is equal to 1




2