Name of Test

Topic

Weightage

Mathematics

Sets, Relations, and Functions

20+10 Q

Complex Numbers and Quadratic Equations

Matrices and Determinants

Permutations and Combinations

Mathematical Induction

Binomial theorem and its Simple Applications

Sequences and Series

Limit, Continuity and Differentiability

Integral Calculus

Differential Equations

Coordinate Geometry

Three Dimensional Geometry

Vector Algebra

Statistics and Probability

Trigonometry

Mathematical Reasoning

Aptitude Test

UNIT I
Awareness of persons. Buildings, Materials.
Objects, Texture related to Architecture and Build-Environment
Visualising three-dimensional objects from two-dimensional drawings.
Visualising different sides of three-dimensional objects.
Analytical Reasoning Mental Ability (Visual Numerical and Verbal)

50 Q

UNIT II
Three-dimensional- perception: Understanding and appreciation of scale and proportions of objects
Understanding and appreciation of scale and proportions of objects
colour texture harmony and contrast
Design and drawing of geometrical or abstract shapes and patterns in pencil.
Transformation of forms both 2D and 3D union
subtraction rotation, development of surfaces and volumes
Generation of Plan, elevations and 3D views of objects
Creating two-dimensional and three-dimensional compositions using given shapes and forms

Planning

General Awareness

25 Q

General knowledge questions and knowledge about prominent cities, development issues, government programmes etc.

Social Sciences

The idea of nationalism, nationalism in India, pre-modern world, 19th -century global economy, colonialism and colonial cities, industrialisation, resources and development, types of resources, agriculture, water, mineral resources, industries, national economy; Human Settlements

Power-sharing, federalism, political parties, democracy, the constitution of India

Economic development- economic sectors, globalisation, the concept of development, poverty; Population structure, social exclusion and inequality, urbanisation, rural development, colonial cities

Thinking Skills

Comprehension (unseen passage); map reading
skills, scale, distance, direction, area etc.;
critical reasoning; understanding of charts,
graphs and tables; basic concepts of statistics
and quantitative reasoning

Topics

Topics Description

Topic Difficulty Level

Sets, Relations, and Functions

Sets and their representation: Union, intersection and complement of sets and their algebraic properties; Power set; Relation, Type of relations, equivalence relations, functions; one-one, into and onto functions, the composition of functions, etc.

Class 11^th

Complex Numbers and Quadratic Equations

Complex numbers as ordered pairs of reals, Representation of complex numbers in the form a + ib and their representation in a plane, Argand diagram, algebra of complex number, modulus and argument (or amplitude) of a complex number, square root of a complex number, triangle inequality, etc.

Class 11^th & Class 12^th

Matrices and Determinants

Matrices, algebra of matrices, type of matrices, determinants, and matrices of order two and three, properties of determinants, evaluation of determinants, area of triangles using determinants, Adjoint, and evaluation of inverse of a square matrix using determinants and elementary transformations, etc.

Class 12^th

Permutations and Combinations

The fundamental principle of counting, permutation as an arrangement and combination as section, Meaning of P (n,r) and C (n,r), simple applications. etc.

Class 11^th

Mathematical Induction

Principle of Mathematical Induction and its simple applications.

Class 11^th

Binomial theorem and its Simple Applications

Binomial theorem for a positive integral index, general term and middle term, properties of Binomial coefficients and simple applications.

Class 11^th

Sequences and Series

Arithmetic and Geometric progressions, insertion of arithmetic, geometric means between two given numbers, Relation between A.M and G.M sum up to n terms of special series; Sn, Sn₂, Sn₃. Arithmetic-Geometric progression.

Class 11^th

Limit, Continuity and Differentiability

Real – valued functions, algebra of functions, polynomials, rational, trigonometric, logarithmic and exponential functions, inverse function. Graphs of simple functions. Limits, continuity and differentiability. Differentiation of the sum, difference, product and quotient of two functions etc.

Class 12^th

Integral Calculus

Integral as an anti-derivative, Fundamental Integrals involving algebraic, trigonometric, exponential and logarithms functions. Integrations by substitution, by parts and by partial functions. Integration using trigonometric identities. etc.

Class 11^th & Class 12^th

Differential Equations

Ordinary differential equations, their order and degree, the formation of differential equations, solution of differential equation by the method of separation of variables, solution of a homogeneous and linear differential equation of the type
(d_y / d_x) + p(x)y = q(x)

Class 12^th

Coordinate Geometry

Straight line; Various forms of equations of a line, intersection of lines, angles between two lines, conditions for concurrence of three lines, the distance of a point from a line, equations of internal and external by sectors of angles between two lines coordinate of the centroid, orthocentre and circumcentre of a triangle, equation of the family of lines passing through the point of intersection of two lines.
Circle, conic sections; A standard form of equations of a circle, the general form of the equation of a circle, its radius and central, equation of a circle when the endpoints of a diameter are given, points of intersection of a line and a circle with the centre at the origin and condition for a line to be tangent to a circle, equation of the tangent etc.

Class 12^th

Three Dimensional Geometry

Coordinates of a point in space, the distance between two points, section formula, directions ratios and direction cosines, the angle between two intersecting lines. Skew lines, the shortest distance between them and its equation. Equations of a line and a plane in different forms, the intersection of a line and a plane, coplanar lines.etc.

Class 12^th

Vector Algebra

Vectors and scalars, the addition of vectors, components of a vector in two dimensions and three-dimensional space, scalar and vector products, scalar and vector triple product.

Class 12^th

Statistics and Probability

Measures of discretion; calculation of mean, median, mode of grouped and ungrouped data calculation of standard deviation, variance and mean deviation for grouped and ungrouped data.
Probability: Probability of an event, addition and multiplication theorems of probability, Baye’s theorem, probability distribution of a random variate, Bernoulli trials and binomial distribution.

Class 11^th & Class 12^th

Trigonometry

Trigonometrical identities and equations, trigonometrical functions, inverse trigonometrical functions and their properties, heights and distance.

Class 11^th & Class 12^th

Mathematical Reasoning

Statement logical operations and, or, implies, implied by, if and only if, understanding of tautology, contradiction, converse and contrapositive.

Class 11^th

Unit 

Description

Unit 1

Awareness of persons. Buildings, Materials. Objects, Texture related to Architecture and Build-envirounmentVisusalising three-dimensional objects from two-dimensional drawings. Visualizing. Different sides of three-dimensional objects. Analytical Reasoning Mental Ability (Visual. Numerical and Verbal)

Unit 2

Three dimensional- perception: Understanding and appreciation of scale and proportions of objects, building forms and elements, colour texture harmony and contrast Design and drawing of geometrical or abstract shapes and patterns in pencil. Transformation of forms both 2D and 3D union, subtraction rotation, development of surfaces and volumes, Generation of Plan, elevations and 3D views of objects, Creating two dimensional and three-dimensional compositions using given shapes and forms

Unit

Topic

Description

Unit 1

General Awareness

General knowledge questions and knowledge about prominent cities, development issues, government programmes etc.

Unit 2

Social-Sciences

The idea of nationalism, nationalism in India, pre-modern world, 19th -century global economy, colonialism and colonial cities, industrialisation, resources and development, types of resources, agriculture, water, mineral resources, industries, national economy; Human Settlements Power-sharing, federalism, political parties, democracy, the constitution of India Economic development- economic sectors, globalisation, the concept of development, poverty; Population structure, social exclusion and inequality, urbanisation, rural development, colonial cities,

Unit 3

Thinking Skills

Comprehension (unseen passage); map reading skills, scale, distance, direction, area etc.; critical reasoning; understanding of charts, graphs and tables; basic concepts of statistics and quantitative reasoning.