NDA Maths · Free chapter-wise notes
NDA Maths Notes
30 chapters of NDA Maths, written to be taught from directly or read alone. No chapter assumes you have read the others, so start wherever you are weakest. The question counts below are live, straight from the bank.
Chapters
Statistics
Statistics is 165 past-year NDA questions across 2017–2026 and one of the most predictable scoring chapters in NDA Mathematics.
165 PYQs · 4 subtopicsVectors
Vectors is 102 past-year NDA questions across 2017–2026, small but high-yield.
102 PYQs · 5 subtopicsProbability
Probability measures how likely an event is, on a scale from 0 (impossible) to 1 (certain).
176 PYQs · 5 subtopics3D Geometry
Three-dimensional geometry is one of the steadiest scorers in NDA Mathematics — 94 past-year questions across 2017–2026, roughly four to five marks on every paper, with the difficulty sitting mostly in the EASY–MODERATE band.
94 PYQs · 5 subtopicsMatrices & Determinants
Matrices & Determinants is the single biggest scoring chapter in NDA Mathematics — 181 past-year questions across 2017–2026, around eight or nine marks on every paper.
181 PYQs · 6 subtopicsSequence & Series
Sequence & Series is one of the highest-yield chapters in NDA Mathematics — 93 past-year questions across 2017–2026, four to six marks on almost every paper, sitting mostly in the EASY–MODERATE band.
93 PYQs · 5 subtopicsIndefinite Integration
Indefinite Integration is 42 NDA PYQs across 2017–2026, only 6 of them EASY, and a pure-technique chapter: there is no theory to memorise, only a toolbox of methods and the judgement to pick the right one.
42 PYQs · 4 subtopicsBinomial Distribution
Binomial Distribution is one of the most reliable scorers in the NDA Maths paper: a tight topic with 31 PYQs spanning 2017 to 2026, mostly EASY and MODERATE, and the same handful of patterns repeat year after year.
31 PYQs · 2 subtopicsFunctions
Functions is a reliable scoring chapter in NDA Mathematics — around 115 past-year questions across 2017–2026, roughly five or six marks on a typical paper, and only about one in ten is HARD.
115 PYQs · 5 subtopicsDifferentiation
Differentiation is a high-volume NDA chapter — around 89 past-year questions across 2017–2026, and a prerequisite for Application of Derivatives, Limits & Continuity, and much of the calculus that follows.
89 PYQs · 3 subtopicsTrigonometric Identities
Trigonometric Identities is the single biggest topic in NDA Mathematics — around 145 past-year questions across 2017–2026, and the hardest by raw HARD count (47 of them).
145 PYQs · 5 subtopicsLimits & Continuity
Limits & Continuity is around 81 past-year NDA questions and the gateway to all of calculus — every derivative and integral is a limit underneath.
87 PYQs · 3 subtopicsApplication of Derivatives
Application of Derivatives is around 73 past-year NDA questions and the pay-off of Differentiation: once you can differentiate, the derivative tells you slopes, rates, where a function rises or falls, and where it peaks.
76 PYQs · 3 subtopicsLines
Straight Lines is 104 past-year NDA questions from 2017 to 2026, about one in five rated HARD — a steady, high-volume scorer.
104 PYQs · 4 subtopicsPermutation & Combination
Permutation & Combination is around 78 past-year NDA questions and the art of counting without listing.
80 PYQs · 5 subtopicsComplex Numbers
Complex Numbers is around 72 past-year NDA questions built on one idea: i² = −1 turns every quadratic into something solvable and puts numbers on a plane.
76 PYQs · 3 subtopicsSets & Relations
Sets & Relations is among the most reliable scoring chapters in NDA Maths — 75 PYQs across 2017–2026, only ~13% HARD, and built on a small number of repeatable techniques.
75 PYQs · 3 subtopicsDefinite Integration
Definite Integration is a high-yield, rising chapter in NDA Maths — 69 PYQs across 2017–2026, ~20% HARD, and built on a small set of powerful tricks rather than brute-force antidifferentiation.
69 PYQs · 5 subtopicsDifferential Equations
Differential Equations is a steady 67-PYQ chapter (2017–2026), ~29% HARD, built on classification plus a fixed toolkit of solving methods.
67 PYQs · 3 subtopicsQuadratic Equations
Quadratic Equations is a high-yield, high-difficulty chapter: 67 PYQs span 2017–2026 and 37% of them are HARD — the densest HARD profile of any NDA Maths topic this size.
67 PYQs · 3 subtopicsBinomial Theorem
Binomial Theorem is 56 NDA PYQs across 2017–2026, formula-heavy but tricky: once you can write the general term, most questions are a single substitution, and the marks come from picking the right value of r, not from heavy algebra.
56 PYQs · 4 subtopicsProperties of Triangle
Properties of Triangle is the toughest yield in NDA Maths — 52 PYQs, 42% of them HARD.
52 PYQs · 3 subtopicsConics
Conics is 40 NDA PYQs across 2017–2026, and almost every one is a matter of reading the standard form, then reading off a focus, directrix, eccentricity, or latus rectum.
40 PYQs · 4 subtopicsInverse Trigonometry
Inverse Trigonometry is 36 NDA PYQs across 2017–2026, formula-heavy and unforgiving on the range.
36 PYQs · 3 subtopicsTrigonometric Equations
Trigonometric Equations is 34 NDA PYQs across 2018–2026, a third of them HARD.
34 PYQs · 3 subtopicsCircles
Circles is a compact but reliably tested chapter: 28 PYQs span 2017–2026, and the hard pockets are concentrated in the construction problems — building a circle through given points and reading off inscribed-angle facts.
28 PYQs · 3 subtopicsLogarithms
Logarithms is a small but reliable scorer: 27 PYQs span 2017–2026, mostly EASY/MODERATE, with a handful of HARD that hinge on one clever identity rather than heavy algebra.
27 PYQs · 2 subtopicsApplications of Integration
Applications of Integration is a compact, visual chapter: 27 PYQs span 2017-2026, and almost all of them ask one thing — the AREA of a region in the plane.
27 PYQs · 2 subtopicsHeight & Distance
Height & Distance is the single hardest chapter in the NDA Maths bank — 71% of its PYQs are HARD.
26 PYQs · 2 subtopicsBinary Numbers
Small but reliable, and nearly every question rewards the same first move: convert to decimal, do the easy arithmetic there, and convert back if the answer asks for it.
14 PYQs · 3 subtopics