Chapter Wise 1 2 3 4 and 5 Marks CBSE Maths Questions with 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 Maths Important Questions for Board Exams
1. What are marks wise CBSE important questions in Maths?
Marks wise CBSE important questions are questions categorized according to the marks distribution (1, 2, 3, 4, or 5 marks) in the CBSE Maths exam pattern. These questions help students prepare strategically based on the weightage of each unit.
- 1-mark questions: Objective or very short answer type
- 2–3 marks questions: Short answer with steps
- 4–5 marks questions: Long answer, case-study, or application-based problems
- Based on the latest CBSE blueprint and sample papers
2. How are marks distributed in the CBSE Maths board exam?
The CBSE Maths board exam follows a structured marks distribution pattern based on competency levels and question types. Generally:
- 1 mark: MCQs or very short answer questions
- 2–3 marks: Short answer type questions
- 4–5 marks: Long answer or case-study based questions
- Internal choices are provided within each section
3. How should I prepare for 1-mark questions in CBSE Maths?
To score full marks in 1-mark questions, focus on formulas, definitions, and direct concept-based answers. These questions test basic understanding and accuracy.
- Revise all important formulas regularly
- Practice MCQs from sample papers
- Memorize key definitions (e.g., AP formula: aₙ = a + (n − 1)d)
- Avoid calculation mistakes
4. What type of questions come for 2 or 3 marks in CBSE Maths?
2 or 3 mark questions in CBSE Maths usually require short step-wise solutions with proper working. These questions test method and understanding.
- Solve a quadratic equation using quadratic formula
- Find distance between two points using Distance Formula
- Prove a simple identity in Trigonometry
5. How do you solve 4 or 5 mark questions effectively in CBSE Maths?
To solve 4 or 5 mark questions effectively, write a complete step-by-step solution with proper reasoning. These questions carry higher weightage and require detailed answers.
- Write the given data clearly
- Apply the correct formula (e.g., Area of Circle = πr²)
- Show all calculation steps
- Highlight the final answer with units
6. Why is solving previous year CBSE Maths papers important for marks wise preparation?
Solving previous year papers helps identify frequently asked important questions and understand marks distribution. It gives real exam practice.
- Understand question trends
- Identify high-weightage chapters
- Improve time management
- Practice mixed-difficulty problems
7. Which chapters usually carry the highest marks weightage in CBSE Maths?
Chapters with the highest marks weightage usually include Algebra, Coordinate Geometry, Trigonometry, Calculus (for Class 12), and Probability. These chapters often contain 4 and 5 mark questions.
- Algebra (Quadratic Equations, AP)
- Trigonometric Identities and Heights & Distances
- Coordinate Geometry (Distance, Section, Area)
- Statistics and Probability
8. How can I score full marks in CBSE Maths board exam?
You can score full marks in CBSE Maths by combining concept clarity, regular practice, and proper presentation. Focus equally on accuracy and steps.
- Revise all important formulas daily
- Practice marks wise important questions
- Solve sample papers under timed conditions
- Avoid skipping steps in long answers
9. What are common mistakes students make in marks wise CBSE Maths questions?
Common mistakes include calculation errors, skipping steps, and writing incomplete final answers. These mistakes often reduce marks unnecessarily.
- Forgetting formulas (e.g., Quadratic Formula: x = [-b ± √(b² − 4ac)] / 2a)
- Not writing units in mensuration
- Rounding off incorrectly
- Ignoring internal choices properly
10. How do internal choices work in marks wise CBSE Maths exam?
Internal choices mean students can attempt one question out of two alternatives within the same marks category and chapter. The difficulty level remains similar.
- Choice is available in almost every section
- Both options carry equal marks
- Select the question you are most confident in
