NATA Syllabus 2026: Mathematics, General Aptitude, Drawing Topics, Weightage and PDF Download

Sets and relations, Idea of groups, rings, and fields, Arithmetic and geometric progressions, Quadratic equations, Permutations and combinations, Binomial theorem (positive integer index), Matrices up to 3×3 order, Properties of determinants, Solution of system of linear equations using matrix method.

Definition and concept of logarithm, General properties of logarithm, Change of base formula and applications in simplification.

Trigonometric functions and their graphs, Addition and subtraction formulae, Multiple and sub-multiple angle formulae, General solutions of trigonometric equations, Inverse trigonometric functions and their properties, Applications in triangles — sine rule and cosine rule.

Distance formula, Section formula, Area of a triangle, Straight lines and their equations, Equation of a circle including tangent and normal, Parabola, Ellipse, Hyperbola — standard forms and key properties.

Direction cosines and direction ratios, Distance between two points in 3D space, Equation of a straight line in 3D, Equation of a plane, Angle between two planes, Distance of a point from a plane.

Concept of limit and continuity, Differentiability of functions, Derivatives of standard functions, Product rule, quotient rule, and chain rule, Application of derivatives — tangents, normals, maxima and minima, increasing and decreasing functions.

Indefinite integration using standard forms, substitution, and integration by parts, Definite integrals and the fundamental theorem of integral calculus, Application of integration — area under a curve.

Measures of central tendency — mean, median, mode, Measures of dispersion — range, variance, standard deviation, Correlation and regression, Random experiments, sample spaces, and events, Classical and empirical probability, Conditional probability.

Objects and textures related to architecture and the built environment, Interpretation of pictorial compositions, Identification of common architectural elements, materials, and building components.

Visualising three-dimensional objects from two-dimensional drawings, Identifying different sides and views of 3D objects, Mental rotation and spatial transformation of shapes, Understanding plans, elevations, and section drawings, Identifying correct 3D forms from given orthographic views.

Analytical reasoning, Diagrammatic reasoning, Numerical reasoning, Verbal reasoning, Inductive reasoning, Abstract reasoning, Situational judgement.

Famous Indian architects — Charles Correa, Laurie Baker, B.V. Doshi — and their landmark works, Famous international architects — Le Corbusier, Frank Lloyd Wright, Zaha Hadid — and their signature buildings, Architectural styles and movements — Modernism, Brutalism, Vernacular, Green Architecture, Prominent Indian monuments, heritage buildings, and urban landmarks.

Mathematical reasoning, Sets and relations, Series completion, Analogy-based questions, Syllogisms, Cause and effect reasoning, Critical reasoning.

Colour theory — hue, value, and saturation, Harmony and contrast in composition, Texture and pattern recognition, Proportion and scale in design, Principles of design — balance, rhythm, emphasis, and unity.

Reading passages related to architecture, design, and spatial concepts, Interpreting descriptive and analytical text, Drawing logical inferences from given information.

Creating 2D compositions using geometric and abstract shapes, Applying colour with appropriate harmony and contrast, Understanding light and shadow in composition, Aesthetic sense, visual balance, and colour relationships, Colour texture and rendering with colour pencils or crayons.

Memory sketching of objects, urbanscapes, and landscapes, Understanding scale and proportion of objects and structures, Freehand drawing of common day-to-day objects and furniture, Sketching building forms and architectural elements, Shading and tonal values using pencil for depth and form.

Form transformations — union, subtraction, and rotation of 3D geometric solids, Generating plan, elevation, and 3D views of objects, Creating 3D compositions using given shapes and forms, Perspective drawing — 1-point and 2-point perspective, Conceptualisation and visualisation from memory, Drawing geometric solids and their combinations.