Score Higher: Topic-Wise Marks Distribution and Expert Solutions
Mathematics is a beautiful and interesting play of numbers. It consists of equations, proofs, formulas and definitions which is required to develop knowledge on the subject. If the students fail to understand the topics for the teaching process is boring, then the issue can easily transform into a nightmare. Math requires continuous practice that develops an understanding skill in students. It does not need that much reading skills.
Here, in this article, we will provide you with a summary of all the CBSE Important Questions in marks wise format for a better learning process. Practising these questions would help you gain confidence. You will get a rough idea on the items you will be receiving in the final examination.
Important Questions For Class 8 Maths With Solutions
Class 8 develops a basic understanding of Mathematics in students. The syllabus includes rational numbers, exponents and powers, squares and square roots, cube and cube roots, single variable Linear equations, quadrilaterals, constructions and mensuration in the first term. For the second term, we have algebraic expressions, factorization, ratio proportion, percentage, direct and inverse proportion, representing 3D and 2D objects, number system and data handling.
Important Questions For Class 9 Maths With Solutions
In the ninth standard, you get six marks from the number system, 20 marks from algebra, six marks from coordinate geometry, 22 marks from geometry, 14 marks for mensuration and 12 marks from statistics and probability. Each question may range from the value of 1, 2, 3 or 4 marks. Some of the important questions are:
Two Mark Questions:
Express 0.25 in the form of a/b where a and b are natural numbers.
Three Mark Questions:
Rationalize the denominator and simplify the equation
(8√3 – 6√5) / (√75 + √18).
Four Mark Questions:
Well with a 20-meter diameter is dug 34 meters deep. Earth taken out is put around the well with ‘n’ width to form a barrier. Find its height.
Important Questions For Class 10 Maths With Solutions
Here we have provided some important questions in Math Class 10. All the 6 marks come from real numbers and coordinate geometry each. Twenty marks come from polynomial, quadratics, arithmetic and geometric progressions with the linear equation in two variables. Fifteen marks come from circles, triangles and constructions. Trigonometry comes for 12 marks including heights and distances while ten marks come from surface areas and volumes.
Eleven marks come from statistics/probability. Let’s see some Class 10 Maths important questions chapter wise. It also includes CBSE Class 10 Mathematics important four marks questions.
Two Mark Questions:
Determine AP, whose fourth term is seven and 9th term is 10.
Three Mark Questions:
Area of a triangle is 10 square units. The two vertices are (3,1) and (-2, 7). The vertex three is (9/2, x), then find x.
Four Mark Questions:
Find x when, 1/ (x-3) + 2/ (x-5) = 9/x.
Calculate the sum of all multiples of 11 which are less than 900.
Important Questions For Class 11 Maths With Solutions
For the 11th standard, 29 marks come from sets, relations and functions. Mathematical induction, complex numbers, quadratic equations, inequalities, permutations, combinations, binomial theorem, sequence and series has a weightage of 37 marks out of hundred. Conics, straight lines and 3D geometry have 13 marks. Six marks will come from the basics of calculus and three marks from mathematical reasoning. Statistics has 12 marks as weightage. Marks on each question ranges from 1, 4 and 6. Below we have examples of some problems.
One Mark Questions:
Find the derivative of cos2(2x) concerning x.
Find the value of cos (-1720)°
Four Mark Questions:
Find the orthocenter coordinates of a triangle with vertices (-1,2), (3, 2) and (5,0).
Six Mark Questions:
Use the binomial theorem to find the value of (54)4.
Important Questions For Class 12 Maths With Solutions
In XII standard, the questions are a bit harder than the lower classes. You get eight marks from relation and functions and ten marks from algebra. Calculus has a huge weightage of 35 marks out of 80 why linear programming has only five marks. Fourteen marks come from vectors and three-dimensional geometry while only eight marks are kept for probability. Marks for each question range from 2, 4, and 6. Here are some example questions.
Two Mark Questions:
Find dy/dx when sec(x - y) = xy.
Four Mark Questions:
If a + b + c = 8 and ab + bc + ca = 15, calculate the value of a3 + b3 + c3 – 3abc.
Construct a triangle abc where bc=4.8 cm, angle b = 45° and ab +ac = 7.8 cm.
Six Mark Questions:
Use integration, find the area under the parabola y = 4/3x2 and line y = 4x + 5.
FAQs on Marks Wise CBSE Important Maths Questions
1. What are 'marks-wise important questions' in the context of the CBSE Maths exam?
Marks-wise important questions are specific types of questions that frequently appear in CBSE board exams and often carry higher marks. They are identified based on an analysis of previous year question papers, official sample papers, and the chapter-wise marks distribution defined in the CBSE syllabus. These questions typically test core concepts, application skills, and Higher Order Thinking Skills (HOTS) from high-weightage chapters.
2. Which topics hold the highest weightage for important questions in the CBSE Class 10 Maths Exam 2025-26?
For the CBSE Class 10 Maths exam 2025-26, the most important units based on marks distribution are:
- Algebra: Includes Polynomials, Pair of Linear Equations, Quadratic Equations, and Arithmetic Progressions. This unit is consistently a high-scorer.
- Geometry: Covers Triangles and Circles, which are crucial for proof-based and application questions.
- Trigonometry: Introduction to Trigonometry and its applications are key areas for both short and long answer questions.
- Mensuration: Surface Areas and Volumes often feature in case-study or 5-mark questions.
3. For the CBSE Class 12 Maths board exam, which units are most critical for scoring high marks?
In the CBSE Class 12 Maths exam for 2025-26, the units with the highest marks allocation are indispensable for a high score. Students should focus on:
- Calculus: This is the most significant unit, covering Continuity and Differentiability, Applications of Derivatives, Integrals, and Differential Equations. It carries the maximum weightage.
- Vectors and Three-Dimensional Geometry: This unit is known for its high-scoring, formula-based, and conceptual questions.
- Algebra: Includes Matrices and Determinants, which are relatively easier to score in.
- Relations and Functions: Forms the foundation for Calculus and includes several important question types.
4. How should I approach answering questions with different marks (e.g., 2, 3, and 5 marks) in the Maths exam?
A strategic approach is key. For 2-mark questions, provide direct and concise answers, often involving a single formula or concept. For 3-mark questions, present a clear, step-by-step solution, showing all necessary calculations and stating the theorems used. For 5-mark questions, a detailed, well-structured answer is required. You must write down what is given, what needs to be found, list the formulas, show every step of the derivation or calculation, and state the final answer with the correct units.
5. Why are questions from chapters like 'Triangles' in Class 10 or 'Application of Integrals' in Class 12 always considered important?
These chapters are considered critical because they test a student's fundamental understanding and ability to apply concepts, not just memorise formulas. 'Triangles' tests logical reasoning through theorems and proofs. 'Application of Integrals' assesses the ability to visualise problems and apply calculus to find areas of complex shapes. CBSE prioritises these areas to differentiate students who have a deep conceptual clarity from those who have only learned superficially.
6. How do CBSE's 'important questions' test Higher Order Thinking Skills (HOTS)?
HOTS questions are designed to test skills beyond basic recall. In Maths, they often appear as:
- Application-based problems: Using mathematical concepts to solve real-world scenarios.
- Multi-concept questions: Requiring the integration of formulas and ideas from two or more different chapters.
- Case-study questions: Presenting a situation and asking multiple related sub-questions that require analysis and evaluation.
These questions check your ability to analyse, evaluate, and create a solution, which is a key objective of the CBSE curriculum.
7. Is it a sound strategy to only practise a list of important questions to score well in the CBSE Maths exam?
While practising important questions is an excellent way to understand the exam pattern and focus on high-weightage topics, it is not a sufficient strategy on its own. The CBSE board is known for creating questions that test deep understanding, and questions can be framed in new ways. The best strategy is to first build a strong foundation by thoroughly covering the entire NCERT syllabus. Use the important questions for targeted revision, practice, and to master the art of writing answers as per the board's expectations.
8. What is the pattern of important questions in the final exams for CBSE Class 9 and 11 Maths?
Although the final exams for Class 9 and 11 are conducted at the school level, they are mandated to follow the CBSE blueprint. The important questions focus on building a strong foundation for the board classes. For both classes, expect a mix of MCQs, short-answer (2-3 marks), and long-answer (4-5 marks) questions. Important topics in Class 9 include Number Systems, Polynomials, and Geometry (Circles, Quadrilaterals). In Class 11, key areas are Sets and Functions, Trigonometry, and Conic Sections, as these are fundamental to the Class 12 syllabus.
