Important Questions for Algebra CBSE Class 10 Maths Exam 2025: You Can’t Miss!

The CBSE class 10 board exams 2025 schedule is available and students all over the country are preparing for one of the most significant phases of their student life. These CBSE exams are very important as they not only check a student’s grasp of basic subjects but also help determine what he or she wants to do next in his or her educational career.

New: Get up to 90% Scholarship on NEET/JEE Coaching from top Coaching Institutes

Latest: Download CBSE Syllabus 2025-26 for Class 9, 10, 11, 12th

CBSE 2025 Class 10th Paper with Solutions: Maths | Social Science | Science

Don't Miss: Best Courses after 10th | Competitive Exams after 10th

This Story also Contains

1. CBSE Class 10 2025 Algebra: Chapter-wise weightage
2. CBSE Class 10 Maths 2025: Exam Paper Structure and Marks Distribution
3. General Tips to Prepare for Algebra Chapters

Maths is rated as a higher-scoring subject and thus plays a special role. Learning topics such as Algebra offers students an advantage. In this article, we will deal only with major Algebra questions, which will enable the students to manage and prepare themselves for the examinations with confidence.

Check: CBSE Class 10 Date Sheet 2025

CBSE Class 10 2025 Algebra: Chapter-wise weightage

According to the official CBSE circular regarding subject-wise marks bifurcation for Class X Examination 2025 CBSE, the chapter-wise weightage for Algebra in the Class 10 Mathematics exam is as follows:

Polynomials

Find the zeroes of the quadratic polynomial $x^2-2x-8x^2-2x-8x^2-2x-8$ and verify the relationship between the zeroes and coefficients.

General Approach to Solve:

Find the zeroes of the quadratic polynomial $x^2-2x-8$ and verify the relationship between the zeroes and coefficients.

1. Factorization: Factorize the polynomial $(x^2-2x-8=(x-4)(x+2)$ ).
2. Find Zeros: Equate each factor to zero ( $x-4=0,x+2=0$ ), giving $x=4,-2$.
3. Verification: Verify by checking:

- Sum of zeros $=-$ coefficient of $x/$ coefficient of $x^2$

- Product of zeros $=$ constant term/coefficient of $x^2$

Pair of Linear Equations in Two Variables

Q. Solve the pair of equations: $2x+y=5$ and $3x-y=5$ using the elimination method.

General Approach to Solve:

1. Align Equations: Arrange both equations in standard form:

$2x+y=5$

$3x-y=5$

2. Eliminate a Variable: Add the two equations to eliminate $y$ :

$(2x+y)+(3x-y)=5+5\to 5x=10$, sо $x=2$.

3. Substitute: Substitute $x=2$ into one of the original equations:

$2(2)+y=5\to y=1$.

4. Verify Solution: Substitute $x=2,y=1$ into both equations to ensure they are satisfied.

Quadratic Equations

Q. Solve $2x^2+x-6=0$ using the quadratic formula.

General Approach to Solve:

1. Identify Coefficients: Compare with $a{x}^2+bx+c=0$ : $a=2,b=1,c=-6$.
2. Quadratic Formula: Use the formula $x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$ :

Discriminant $=b^2-4ac=1-4(2)(-6)=1+48=49$.

Roots $=\frac{-1\pm \sqrt{49}}{4}=\frac{-1\pm 7}{4}$.

Roots: $x=\frac{6}{4}=\frac{3}{2}$ and $x=\frac{-8}{4}=-2$.

3. Verification: Substitute $x=\frac{3}{2}$ and $x=-2$ into the equation to ensure they satisfy it.

Arithmetic Progressions (AP)

Q. Find the sum of the first 15 terms of the AP: $7,10,13,\dots$

General Approach to Solve:

1. Identify Parameters: The AP is $7,10,13,\dots$ so:

First term $(a)=7$,

Common difference $(d)=10-7=3$,

Number of terms $(n)=15$.

2. Sum Formula: Use the formula for the sum of an AP:

$S_n=\frac{n}{2}[2a+(n-1)d]$

3. Substitute values:

$S_{15}=\frac{15}{2}[2(7)+(15-1)\cdot 3]$

4. Verification: Confirm calculations for any errors.

CBSE Class 10 Maths 2025: Exam Paper Structure and Marks Distribution

There are five sections in the question paper in which there lies a definite type of question and a definite number of marks allotted. To make student’s preparation more effective, here is the detailed division of the exam:

General Tips to Prepare for Algebra Chapters

• Focus on different types of polynomials (linear, quadratic, cubic) and their degree. Revise the Remainder Theorem and Factorization techniques thoroughly.
• Solve problems related to splitting the middle term, long division of polynomials, and finding zeros.
• Learn how to plot polynomials and interpret their graphs. This will help in understanding the behaviour of polynomials.
• Practice all methods to solve linear equations—Substitution, Elimination, and Cross Multiplication.
• Focus on real-life applications, such as problems of age, time and work, and mixtures. Convert word problems into equations for easier solving.
• Understand the standard form of quadratic equations and how to find roots using the Factorization Method, Completing the Square, and the Quadratic Formula.
• Learn to calculate the discriminant to determine the nature of roots (real, equal, or imaginary).
• Learn the formulas for the nth term and the sum of n terms (Sn=n/2[2a+(n−1)d])(S_n = n/2[2a + (n-1)d])
• Solve application-based problems such as finding missing terms, sums, or term positions in real-life situations.
• Create a formula and concept sheet for quick revision before exams.
• Solve CBSE Class 10 Sample paper 2024-25 for practice.