CBSE Class 10 Maths (Basic) Sample Paper and Marking Scheme 2024-25, Download FREE PDF

CBSE Class 10 Mathematics Sample Paper 2025: This article comprises 2024-25 CBSE Class 10 Sample Paper for Maths. Check and download the free sample paper PDF along with the marking scheme.

Oct 15, 2024, 12:26 IST
Get here Maths Sample Paper 10th Class 2024-25 With Solutions PDF:.
Get here Maths Sample Paper 10th Class 2024-25 With Solutions PDF:.

CBSE Class 10 Maths Sample Paper 2024-25: The 2025 sample paper for CBSE Class 10 Mathematics (Basic) is out on the official website of the Central Board of Secondary Education (CBSE). The sample question paper is provided along with the solved marking scheme to help students know the paper structure and right to tackle the questions.

Solving the sample papers is crucial to experience the pressure of a real exam. It develops time management and answering skills. Unlike entrance exams, CBSE demands elaborative answers, and thus having a look at the marking scheme is a must. Scroll down to check the question paper design, CBSE Class 10 Maths (Basic) sample paper 2024-25, and its solutions.

CBSE Class 10 Maths (Basic) Question Paper Design 2024-25

Here's a tabular format for the question paper design based on the details given in CBSE 10th Maths Basic sample paper 2024-25.

Section

Question Numbers

Question Type

Marks per Question

Total Questions

Total Marks

Internal Choice

A

1 - 18

Multiple Choice Questions (MCQs)

1

18

18

None

 

19 - 20

Assertion-Reason Based Questions

1

2

2

None

B

21 - 25

Very Short Answer (VSA) Questions

2

5

10

2 Questions

C

26 - 31

Short Answer (SA) Questions

3

6

18

2 Questions

D

32 - 35

Long Answer (LA) Questions

5

4

20

2 Questions

E

36 - 38

Case Study-Based Questions (with sub-parts of 1, 1, and 2 marks each)

4

3

12

Provided for each question

Total

-

-

-

38

80 Marks

-

Additional Instructions:

  • All questions are compulsory.
  • Draw neat figures wherever required.
  • Use π = 22/7 as directed if not specified otherwise.
  • Calculators are not permitted.

This layout provides a structured view for both teachers and students to follow the question paper's format effectively.

CBSE Class 10 Maths Basic Sample Paper 2024-25

The sample questions for Mathematics Basic Class 10 are given below which can be solved and their answers can be checked from the marking scheme.

  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
(A) 450 (B) 90 (C) 180 (D) 630
1
2 The system of linear equations represented by the lines l and m is


(A) consistent with unique solution (B) inconsistent
(C) consistent with three solutions (D) consistent with many solutions
1
3 The value of k for which the quadratic equation 𝑘𝑥2 − 5𝑥 + 1 = 0 does not have a real solution, is
(A) 0 (B) 25/4 (C) 4/25 (D) 7
1
4 The distance between the points (𝑎, 𝑏) and (−𝑎, −𝑏) is
(A)√𝑎2 + 𝑏2 (B) 𝑎2 + 𝑏2 (C) 2 √𝑎2 + 𝑏2 (D) 4√𝑎2 + 𝑏2
1
5 In the given figure, PQ and PR are tangents to a circle centred at O. If
∠QPR=35 then ∠QOR is equal to


(A) 70 (B) 90 (C) 135 (D) 145
1
6 If △ 𝐴𝐵𝐶 ∼△ 𝑃𝑄𝑅 such that 3AB = 2PQ and BC=10 cm, then length QR is equal to
(A) 10 cm (B) 15 cm (C) 20/3 cm (D) 30 cm
1
7 If 3 cot 𝐴 =4, where 0° < 𝐴 < 90°, then sec 𝐴 is equal to
(A) 5/4 (B) 4/3 (C) 5/3 (D) 3/4
1
8 In the given figure, 𝛥𝐵𝐴𝐶 is similar to



(A) 𝛥𝐴𝐸𝐷 (B) 𝛥𝐸𝐴𝐷 (C) 𝛥𝐴𝐶𝐵 (D) 𝛥𝐵𝐶𝐴
1
9 If H.C.F(420,189) = 21 then L.C.M(420,189) is
(A) 420 (B) 1890 (C) 3780 (D) 3680
1
10 The 4𝑡ℎ term from the end of the A.P −8, −5, −2, … ,49 is
(A) 37 (B) 40 (C) 1 (D) 43
1
11

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

(A) 58 (B) 55 (C) 128 (D) 52

1
12 If perimeter of given triangle is 38 cm, then length AP is equal to


(A)19 cm (B) 5 cm (C) 10 cm (D)8 cm
1
13 1−𝑡𝑎𝑛230 /1+𝑡𝑎𝑛230 is equal to
(A) cos 60 (B) sin 60 (C) 1 (D) 𝑡𝑎𝑛260
1
14 The total surface area of solid hemisphere of radius 𝑟 is
(A) 𝜋𝑟2 (B) 2𝜋𝑟2 (C) 3𝜋𝑟2 (D) 4𝜋𝑟2
1
15 Which of the following cannot be the probability of an event?
(A) 0.4 (B) 4% (C) 0.04% (D) 4
1
16 The roots of quadratic equation 3𝑥2 − 4√3𝑥 + 4 = 0 are
(A) not real (B) real and equal
(C) rational and distinct (D) irrational and distinct
1
17 The following distribution shows the marks distribution of 80 students.
Marks Below 10 Below 20 Below 30 Below 40 Below 50 Below 60
No. of Students 2 12 28 56 76 80
The median class is
(A) 20-30 (B) 40-50 (C) 30-40 (D) 10-20
1
18 A quadratic polynomial whose zeroes are 2/5 𝑎𝑛𝑑 −1/5 is
(A) 25𝑥2 + 5𝑥 − 2 (B) 5𝑥2 − 2𝑥 + 1 (C) 5𝑥2 + 2𝑥 − 1 (D) 25𝑥2 − 5𝑥 − 2
1
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