CBSE Class 10 Maths 4 or 5 Marks Important Questions
CBSE class 10 maths questions for 4 or 5 marks are long-answer problems designed to test a student's deep understanding of complex mathematical concepts, theorem proofs, and multi-step problem-solving. These high-weightage questions typically appear in Section D and Section E, requiring detailed step-by-step solutions to ensure maximum marks in board examinations.
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Understanding CBSE Class 10 Maths Questions: Strategies for High-Weightage Marks
When you are preparing for the final board exams, the cbse class 10 maths questions that carry 4 or 5 marks are the real game-changers. These aren't just your standard "find the value of x" problems; they are designed to see if you can handle a logical sequence of thoughts. Because these sections carry a huge chunk of the total marks, students often go hunting for a cbse class 10 maths question paper from previous years just to see which "monsters" are likely to show up.
Understanding the structure of these cbse class 10th maths questions is the first step to staying calm during the exam. According to experts these long-form problems aren't graded on a "right or wrong" basis alone. You get rewarded for the journey. Every single part of your answer—from writing down the "Given" data and drawing a neat diagram to the final "Therefore" statement—counts toward your final score. This is called step-wise marking, and it is your best friend when things get tough.
If you are looking for a cbse class 10 maths questions pdf to keep on your phone for quick revision, you should prioritize chapters that naturally lend themselves to long derivations. Topics like Triangles, Surface Areas, and Trigonometry are prime candidates for the 5-mark section. By practicing cbse class 10 maths questions and answers that focus on these heavy-hitters, you build the mental stamina needed to tackle the most intimidating parts of the paper without breaking a sweat.
Check: CBSE Class 10th Sample Papers
Important 4 or 5 Marks Questions from Major Chapters
To make your study sessions a bit more organized, we have pulled together the most critical topics where 4 and 5-mark questions usually pop up. Focus on these areas, and you’ll cover the most important "danger zones" of the syllabus.
1. Algebra: Polynomials and Linear Equations
Algebraic problems often require a lot of moving parts, making them perfect for the 4-mark slot.
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Polynomials: A very common question asks you to find all the zeros of a higher-degree polynomial (like a biquadratic one) when two of its zeros are already given. It requires division and then factorizing the resulting quadratic.
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Linear Equations and Word Problems: These are the classics. Think about problems involving the speed of a boat going upstream and downstream, or two pipes filling a tank at different rates. These require you to set up the equation correctly before you even start calculating.
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Arithmetic Progressions (AP): In the 5-mark category, look out for questions where you have to find the sum of 'n' terms based on a relationship between two different terms, like the 4th and 8th terms.
2. Geometry: The Power of Proofs
Geometry is usually where students feel the most pressure in Section D. To stay ahead, you must be ready to prove theorems from scratch.
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The Basic Proportionality Theorem (BPT): This is perhaps the most famous of all cbse class 10 maths questions. You might be asked to prove the theorem itself or use it to find missing lengths in a complex figure involving a trapezoid or a triangle.
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Circles and Tangents: Expect a 4-mark question asking you to prove that tangents drawn from an external point to a circle are equal in length. Remember, a geometry answer without a diagram is almost guaranteed to lose marks!
Important Questions for CBSE Class 10 Maths PDF
3. Trigonometry: Reaching New Heights
The "Some Applications of Trigonometry" chapter is almost a guaranteed source for a 5-mark question.
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Heights and Distances: These usually involve "Double Observation." For example, you might be standing on a tower looking at two cars moving away from each other, or looking at a bird flying at a constant height. You’ll need to use Tan ratios for two different triangles and then solve them together.
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Identity Proofs: Proving that one side of a complex trigonometric expression equals the other. These can be tricky, but they follow a logical flow using the basic identities like sin^2\theta + cos^2\theta = 1.
4. Mensuration and Statistics: Calculating the Real World
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Surface Areas and Volumes: These 5-mark questions are often "Combo Problems." You won't just find the volume of a cylinder; you'll find the volume of a cylinder with two hemispheres stuck on the ends (like a medicine capsule) or a cone on top of a hemisphere (like a toy).
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Statistics: This is where you can really secure your marks. A favorite for 5-mark questions is finding "Missing Frequencies." You’ll be given the Median or Mean of a data set, but two frequencies in the table will be replaced by 'x' and 'y'. Solving these is a reliable way to get full marks.
CBSE Class 10 Books
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CBSE Class 10 Study Materials for 2026 |
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CBSE Class 10 Maths 4 or 5 Marks Important Questions FAQs
What is the best way to handle a 5-mark question if I'm confused?
Don't leave it blank! Start with what you know. Write down the "Given" values and the formula you think applies. If it’s geometry, draw the shape. Even if you don't reach the final answer, you can still get 2 or 3 marks for the steps you did correctly.
Where can I find a reliable cbse class 10 maths question paper?
Check PW Store. Seeing the real questions from previous years is the best way to understand the "vibe" of the exam.
Do I really need to memorize all the theorems?
For a 4-mark question, yes. Theorems like BPT and the tangent properties of circles are frequently asked. If you know the proof by heart, it's essentially an "easy" 4 marks because you don't have to worry about tricky numbers or calculations.
How much time should I spend on Section D (5-mark questions)?
A good rule of thumb is about 10 minutes per question. Since these are high-weightage, you don't want to rush them and make a silly calculation error, but you also don't want to spend 20 minutes on one and run out of time for the rest of the paper.
Is the NCERT textbook enough for these high-mark questions?
NCERT is the foundation. Many 5-mark questions are taken directly from the "Solved Examples" or the "Optional Exercises" in your textbook. If you can solve every single problem in the NCERT, you are already 90% of the way there.
