Assam Board SEBA Class 10 Maths Sample Paper 2024-25: Download In PDF!

HSLC Maths Sample Paper 2025: The Board of Secondary Education, Assam, has released sample questions for Class 10 Mathematics. These are intended to help students familiarize themselves with the format of questions and identify important topics for the Internal examinations and the annual HSLC Exam 2025. The board has provided a PDF containing chapter-wise questions, which include:

• Multiple-choice questions (MCQs) worth 1 mark each
• 2-mark questions
• 3-mark questions
• Case-study based questions (in selected chapters)
• 4/5 Mark questions (in selected chapters)

The SEBA Class 10 Maths Sample Paper 2025 is provided in this article which students can easily access in PDF. The SEBA Class 10 Maths Sample Paper 2025 is available in this article, and students can easily access it in PDF format. Download the sample paper and practice important questions to enhance your preparation and perform well in the upcoming exams.

Assam SEBA Class 10 Maths Sample Question Paper 2025

Chapter 1

SECTION A

This Section Comprises multiple choice questions (MCQs) of 1 mark(approx.) each.

1. LCM of (2³ x 3 x 5) and (2⁴ x 5 x 7) is :

(a) 40

(b) 560

(c) 1680

(d) 1120

2. HCF of (3⁴ x 2⁴ x 73) and (3² x 5 x 7) is :

(a) 630

(b) 63

(c) 729

(d) 567

SECTION B

This section comprises very short answer (VSA) type questions of 2 marks (approx.) each.

3. Using prime factorisation, find HCF and LCM of 96 and 120.

4. Find LCM of 576 and 512 by prime factorization.

5. Find HCF of 660 and 704 by prime factorization.

6. Find LCM of 480 and 256 using prime factorization.

7. Prove that 7 - 2√3 is an irrational number, given that √3 is an irrational number.

8. Prove that 8 + 5√5 is an irrational number, given that √5 is an irrational number.

9. Prove that 11 + 3√2 is an irrational number, given that √2 is an irrational number.

SECTION C

This section comprises short answer (SA) type questions of 3 marks (approx.) each.

10. (a) Prove that √3 is an irrational number.

(b) The traffic lights at three different road crossings change after every 48 seconds, 72 seconds and 108 seconds respectively. If they change simultaneously at 7 am, at what time will they change together next?

Chapter 2

SECTION A

This Section Comprises multiple choice questions (MCQs) of 1 mark(approx.) each

11. The number of polynomials having zeroes -1 and 2 is:

(a) exactly 2

(b) only 1

(c) at most 2

(d) infinite

12. The number of polynomials having zeroes -3 and5 is :

(a) only one

(b) infinite

(c) exactly two

(d) at most two

13. If one zero of the quadratic polynomial kx² + 3x + k is 2, then the value of k is :

(a) -6/5

(b) 6/5

(c) 5/6

(d) -5/6

SECTION E

This section comprises case study based questions of 4 marks (approx.) each.

14. Rainbow is an arch of colours that is visible in the sky after rain or when water droplets are present in the atmosphere. The colours of the rainbow are generally, red, orange, yellow, green, blue, indigo and violet. Each colour of the rainbow makes a parabola. We know that any quadratic polynomial p(x) = ax2 + bx + c (a ≠ 0) represents a parabola on the graph paper:

Based on the above, answer the following questions:

(i) The graph of a rainbow y = f(x) is shown in the figure. Write the number of zeroes of the curve.

(ii) If the graph of a rainbow  does not intersect the x-axis but intersects y-axis at one point then how many zeroes will it have?

(iii) (a)If a rainbow is represented by the quadratics polynomial p(x) = x² + (a+1)x + b, whose zeroes are 2 and -3, find the value of a and b.

OR

(iii) (b) The polynomial x²-x-(7p+3) represents a rainbow. If -4 is a zero of it, find the value of p.

Further questions can be accessed from the following link:

How to Download HSLC Maths Sample Paper?

Below are the step-wise instructions following which students and teachers can download the 2024-25 SEBA HSLC Maths Sample Questions Paper from board’s website:

Step 1: Visit the official website of the Secondary Education Board of Assam (SEBA) at sebaonline.org.

Step 2: Click on the ‘Download’ option available on the top bar.

Step 3: Check the list of recently released PDFs.

Step 4: Click on the "Download" link written against "Sample Questions on Mathematics."

Step 5: The Sample Paper PDF will open.

Step 6: Click on the download icon to save the PDF for further use.

Related| SEBA Class 10 Model Papers 2024-25: Download HSLC All Subject Sample Question Paper PDFs

Also Check:

NCERT Class 10 Revised Textbooks PDFs (All Subjects)

NCERT Class 10 Updated Solutions (All Subjects)