There are 120 questions on the 300-point NDA Mathematics exam. It assesses conceptual clarity, quickness, and the capacity to solve problems. The detailed breakdown is shown below:
1. 20–25 Algebra questions Crucial Subtopics:
Relationships, Sets, and Functions
Complicated Numbers
Roots of Quadratic Equations
Progressions in Arithmetic and Geometry
The Binomial Theorem
Exponents and Logarithms
Combinations and Permutations
Advice: Pay attention to factorization, identities, and formulas. Practice solving sequence and combination puzzles.
2. Questions in Trigonometry (15–20) Crucial Subtopics:
Identities and Trigonometric Ratios
Distances and Elevations
Equations in Trigonometry
Functions of Inverse Trigonometry
Trigonometric Function Graphs
Trigonometry’s application in geometry (triangles, circles)
Advice: Acquire knowledge of common values, identities, and angle conversions (radians to degrees).
3. Determinants and Matrices (5–7 Questions) Crucial Subtopics:
Matrices of the Zero, Identity, and Diagonal types
Properties of Determinants Inverse of a Matrix Matrix Addition, Subtraction, and Multiplication Determinant of a 2×2 and 3×3 Matrix
Uses for Solving Linear Equations
Advice: Learn the fundamentals of operations and Cramer’s Rule to solve linear equations.
4. Statistics and Probability (6–8 Questions) Crucial Subtopics:
Standard Deviation, Mean, Median, and Mode Variance
Probability: Fundamental Laws and Principles
Combinations and Permutations
Easy Probability Theoretical Problems
Advice: To remove incorrect probability selections, update calculations and use reasoning.
5. Two-dimensional Analytical Geometry (10–12 Questions) Crucial Subtopics:
Formula for Cartesian Coordinates and Distance
Section Formula and Midpoint Theorem
The Line Equation
Standard and General Forms of Slope and Angle Between Lines in Circles
Basic Equations and Properties of Parabola, Ellipse, and Hyperbola
Advice: Diagrams make problems easier to see and solve. Practice tangent and chord problems.
6. Five to Seven Questions in Vector Algebra Crucial Subtopics:
Applications of Dot Product and Cross Product Position Vectors in Geometry: Magnitude and Direction Collinearity and Vector Angle
Advice: Acquire knowledge of unit vectors, vector operations, and geometric interpretations.
7. Calculus Differential (10–12 Questions) Crucial Subtopics:
Limits and Continuity Function Derivatives (Logarithmic, Exponential, Trigonometric, and Polynomial)
Uses for Derivatives
Normals and Tangents at the Maximum and Minima Rates of Change
Advice: Study the product, quotient, and chain rules of derivatives and work through application-based problems.
8. Differential Equations and Integral Calculus (8–10 Questions) Crucial Subtopics:
Integrals that are Definite and Indefinite
Techniques for Integration: Substitution, Partial Fractions, by Parts
Area Beneath Curves
Differential equations of the first order
Both General and Specific Solutions
Advice: Practice solving definite integrals with limits while concentrating on standard integration forms.
Summary Table
Topic | Expected Questions | Difficulty Level | Focus Area |
Algebra | 20–25 | Moderate | Equations, Series, Theorems |
Trigonometry | 15–20 | High | Identities, Heights & Distances |
Matrices & Determinants | 5–7 | Easy–Moderate | Operations, Inverse |
Analytical Geometry (2D) | 10–12 | Moderate | Circles, Lines |
Calculus (Differential & Integral) | 18–20 | Moderate–High | Derivatives, Integrals |
Vector Algebra | 5–7 | Moderate | Dot & Cross Products |
Probability & Statistics | 6–8 | Moderate | Mean, SD, Probability Rules |
Number System & Arithmetic | 8–10 | Easy–Moderate | Word Problems, Basics |
NCA Academy’s Pro Tips
- For conceptual clarity, begin with NCERT Maths (Classes 10–12).
- Create formula sheets based on topics and make frequent revisions.
- To comprehend trends, solve past 10-year NDA maths papers.
- Focus on your weak areas and take practice exams frequently.
- Enroll in NCA Academy’s specialized math program to practice with problems that are NDA-level challenging.
