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

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

Edited By Vishal kumar | Updated on Dec 17, 2024 11:39 AM IST | #CBSE Class 10th
Ongoing Event
CBSE Class 10th  Exam Date : 01 Jan' 2025 - 14 Feb' 2025

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.

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
Important Questions for Algebra CBSE Class 10 Maths Exam 2025: You Can’t Miss!
Important Questions for Algebra CBSE Class 10 Maths Exam 2025: You Can’t Miss!
LiveBoard Exams Date Sheet 2025 Live: RBSE Class 10, 12 time table soon; CBSE admit card likely by January endJan 13, 2025 | 9:10 AM IST

The Bihar School Examination Board (BSEB) has uploaded the Bihar board Class 10, 12 model papers 2025. Students can download Matric, Inter model papers from the official website, biharboardonline.bihar.gov.in. 

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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:

Chapters

Marks

  • Polynomials
  • Pair of Linear Equations in Two Variables
  • Quadratic Equations
  • Arithmetic Progressions

20 Marks

Polynomials

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

General Approach to Solve:

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

  1. Factorization: Factorize the polynomial $\left(x^2-2 x-8=(x-4)(x+2)\right.$ ).
  2. Find Zeros: Equate each factor to zero ( $x-4=0, x+2=0$ ), giving $x=4,-2$.
  3. Verification: Verify by checking:
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- 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: $2 x+y=5$ and $3 x-y=5$ using the elimination method.

General Approach to Solve:

  1. Align Equations: Arrange both equations in standard form:
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$2 x+y=5$

$3 x-y=5$

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

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

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

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

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

Quadratic Equations

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

General Approach to Solve:

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

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

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

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

  1. 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: $7,10,13, \ldots$

General Approach to Solve:

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

First term $(a)=7$,

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

Number of terms $(n)=15$.

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

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

  1. Substitute values:

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

  1. 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:

Sections

Question Count

Question Type

Marks Allocated

Available choice

Section A

20

MCQs

20 x 1 = 20

0

Section B

5

Very Short Answer Questions

5 x 2 = 10

2

Section C

6

Short Answer Questions

6 x 3 = 18

3

Section D

4

Long Answer Questions

5 x 4 = 20

2

Section E

3

Case Study

4 x 3 = 12

1

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.


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Questions related to CBSE Class 10th

Have a question related to CBSE Class 10th ?

Hello Aspirant,  Hope your doing great,  your question was incomplete and regarding  what exam your asking.

Yes, scoring above 80% in ICSE Class 10 exams typically meets the requirements to get into the Commerce stream in Class 11th under the CBSE board . Admission criteria can vary between schools, so it is advisable to check the specific requirements of the intended CBSE school. Generally, a good academic record with a score above 80% in ICSE 10th result is considered strong for such transitions.

hello Zaid,

Yes, you can apply for 12th grade as a private candidate .You will need to follow the registration process and fulfill the eligibility criteria set by CBSE for private candidates.If you haven't given the 11th grade exam ,you would be able to appear for the 12th exam directly without having passed 11th grade. you will need to give certain tests in the school you are getting addmission to prove your eligibilty.

best of luck!

According to cbse norms candidates who have completed class 10th, class 11th, have a gap year or have failed class 12th can appear for admission in 12th class.for admission in cbse board you need to clear your 11th class first and you must have studied from CBSE board or any other recognized and equivalent board/school.

You are not eligible for cbse board but you can still do 12th from nios which allow candidates to take admission in 12th class as a private student without completing 11th.

Yes, you can definitely apply for diploma courses after passing 10th CBSE. In fact, there are many diploma programs designed specifically for students who have completed their 10th grade.

Generally, passing 10th CBSE with a minimum percentage (often 50%) is the basic eligibility for diploma courses. Some institutes might have specific subject requirements depending on the diploma specialization.

There is a wide range of diploma courses available in various fields like engineering (e.g., mechanical, civil, computer science), computer applications, animation, fashion design, hospitality management, and many more.

You can pursue diplomas at various institutions like:


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