NDA-Ⅱ 2026 Mathematics: Top Weightage Chapters and Where to Start

Mathematics is the paper NDA candidates split over. Those who are strong in it treat it as their scoring engine. Those who are weak in it quietly dread it and hope to scrape through. Both groups make the same mistake, which is to treat the syllabus as a flat list of equal topics. It is not. A small number of chapters produce most of the marks, and once you can see that shape, the paper stops being a wall and becomes a ladder.

This guide lays out the NDA Maths chapters in priority order, from the ones that decide your score to the ones you can safely leave for last. It is written for two readers at once. If your Maths is strong, use it to make sure your hours land on the heaviest chapters. If your Maths is weak, there is a section built just for you, on where to start so that you secure safe marks first and clear the paper without trying to master everything.

A note on the weightage. These shares are based on the pattern of recent NDA papers, not official figures, since UPSC never publishes a chapter wise breakdown. They are stable enough to plan around, but treat them as priorities, not promises.

The Paper at a Glance

NDA Mathematics is 120 questions for 300 marks, with 150 minutes to solve them. A correct answer earns 2.5 marks and a wrong one costs about 0.83, a third of the value, so accuracy matters as much as coverage. This paper is one half of the 900 mark written exam, sitting alongside the 600 mark General Ability Test.

There is a rule that shapes the whole strategy for a weak student. On top of the overall cutoff, you must score a minimum in each subject on its own, and for Maths that qualifying line works out to around 75 marks out of 300. Fall below it and you do not qualify, however well you do in the GAT. So hold that number in mind. Seventy five marks is your survival line. Everything above it lifts your aggregate. This guide gets you to the first, then past it.

The One Idea That Changes Everything

Here is the whole paper in a sentence. Three big blocks, Algebra, the Statistics and Probability group, and Calculus, make up about sixty percent of it between them. Trigonometry and coordinate geometry fill most of the rest, and a few mechanical chapters quietly hand out marks at the end.

Read that table once and your plan writes itself. You do not divide your time equally. You pour it into the top rows and let the bottom rows take whatever is left, while remembering that the two chapters at the very bottom are among the easiest marks in the paper.

Tier One: The Chapters That Decide Your Score

Statistics and Probability is the single richest hunting ground. Probability alone is around 11 percent of the paper, the largest single chapter by a clear margin, and together with Statistics and Permutations and Combinations it forms a fifth of the paper. Better still, most of it is formula driven and heavily repeated across years, so past papers train you almost perfectly. Start here.

Algebra is the widest block. It is not one topic but a family, and they are not equal. In rough order of return, prioritise quadratic equations, complex numbers, sequences and series, relations and functions, and the binomial theorem, then mop up sets, logarithms and binary numbers, which are small and easy. Several of these are procedural, which makes them dependable once practiced.

Practice NDA Mathematics past papers chapter by chapter here, and start with Probability, Statistics and the core algebra chapters before anything else.

Tier Two: The Next Layer

Calculus is a fifth of the paper, so it cannot be skipped, but it is where weak candidates get stuck. The trick is to prioritise within it. Differentiation, its standard methods and applications, and the basic rules of integration are the most common and the most learnable. The harder differential equations and area under the curve questions come later. Get the routine calculus reliable before you chase the difficult ones.

Trigonometry rewards formulas. Trigonometric functions, identities, and heights and distances repeat in predictable forms. It is a formula and practice chapter with little deep theory, which makes it a solid second priority for candidates of every level.

Tier Three: Small, But Some Are Free Marks

Analytical Geometry, both 2D and 3D, is worth its place but sits third because 3D in particular takes time to build. Matrices and Determinants and Vector Algebra, though, deserve special attention for the opposite reason. They are only about thirteen percent of the paper between them, but they are almost entirely mechanical. Once you know the procedure, the questions are close to automatic. There is no good reason to lose these marks, so learn the steps and bank them, especially in the final weeks.

If Your Maths Is Weak, Start Here

This section is for the candidate who reads all of the above and still feels the paper is against them. NDA Maths is drawn from the Class 11 and 12 syllabus, so it is more conceptual than an arithmetic based paper, and that is exactly why a weak student needs a smart order rather than brute effort. You do not need to master everything. You need to clear your 75 mark line comfortably and then add whatever safe marks you can. Here is the honest, minimum effort path.

Begin with the mechanical chapters, because they need procedure, not insight. Matrices, Determinants and Vector Algebra are the friendliest in the paper. Learn the steps, practice the direct questions, and you collect marks without needing deep understanding. This is the fastest ground you will gain anywhere in NDA Maths.

Add the formula driven core. Basic Statistics, meaning mean, median, mode and variance, is genuinely easy. Straightforward Probability and Permutations and Combinations questions follow set formulas. In algebra, quadratic equations, complex numbers and sequences are largely procedural. In trigonometry, the basic ratios and common identities are enough for most questions. You are not chasing the hardest problems here. You are collecting the standard ones, which are far more common than the traps.

Take only the routine calculus. Learn basic differentiation and the simple rules of integration, and attempt those direct questions. Leave the hard differential equations alone for now. Even partial calculus adds several marks.

And use elimination everywhere. Because NDA has four options and one third negative marking, a blind guess averages to nothing, but the moment you can rule out two options, a guess becomes worth taking. A weak candidate who is disciplined about elimination scores meaningfully higher than one who either guesses wildly or leaves too much blank.

Do just this much, the mechanical chapters, the formula driven core, the routine calculus, and disciplined elimination, and you move from fearing this paper to safely clearing your 75 mark line. That is a realistic, reachable goal, and it is often all you need, because your bigger scoring can then come from the 600 mark GAT while Maths simply holds the line.

The Traps That Cost Marks

• Getting stuck on hard calculus or 3D early. A tough question is worth the same 2.5 marks as an easy determinant question, and it costs you many times the time. Take the easy marks first, always.
• Ignoring negative marking. Every wild guess on a question you cannot narrow down is, on average, a wasted or losing bet. Guess only after you eliminate.
• Skipping Matrices, Determinants and Vectors because they feel minor. They are the cheapest marks in the paper, and leaving them is handing away an easy nine to thirteen percent.
• Practicing randomly. Solving mixed questions feels productive but teaches slowly. Finish one topic to fluency before moving to the next.

How to Turn This Into Marks

Reading a priority list does nothing on its own. The marks come from solving the actual questions behind it. Work through NDA Maths past papers chapter by chapter on Padhify, one topic at a time, in the priority order above. Then, in your final weeks, take full NDA mock tests under time, and after each one, look at where your marks actually came from. You will almost always find they came from probability and statistics, core algebra, routine calculus and the mechanical chapters, which is the whole point of this guide.

For the wider picture, our five year NDA papers analysis shows how both papers behave, and the NDA 30 day chapter priority plan folds this Maths priority into a full study schedule.

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