These are the most important topics for NATA :
Algebra, Application of Calculus, Coordinate Geometry, Logarithms, Co-ordinate Geometry, Matrices, 3-Dimensional Trigonometry, Permutation and combination, Theory of Calculus, Statistics and Probability.
Objects, textures related to architecture & built environment. Interpretation of pictorial compositions, visualising three-dimensional objects from the two-dimensional drawing. Analytical reasoning, mental ability (visual, numerical and verbal) awareness of national/international architects and their creations. Visualising different sides of 3D objects.
Geometric composition, Understanding scale and proportion of objects, building forms and elements, shape, aesthetics, colour texture, harmony and contrast. Pattern drawing of both geometrical and abstract images. Conceptualization and visualization. Form transformations in 2D and 3D like union, rotation, subtraction, surfaces and volumes. Creating 2D and 3D compositions using given shape and forms. Generating plan, elevation, and 3D views of objects. Perspective drawing, sketching of urban scape and landscape.for The syllabus for NATA 2017 has been divided into three parts, i.e. drawing, General Aptitude & Mathematics. The drawing test will measure the ability to sketch a given object, sense of perspective drawing, understanding of proportion and scale, etc.
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I hope this helps.