CUET (UG) Maths

CUET Maths questions

CUET Maths questions are prepared by Maths experts as per the latest syllabus of CUET. If you want to take admitted to 100 plus universities for higher education in Maths, you need to score good marks in CUET Maths. To score good marks in Maths one must have very clear concepts in class 12 Maths and a few parts of class 11 Maths. This page is prepared for additional practice for CUET Maths Questions. 

Find chapter-wise CUET Maths questions

CUET Section A Syllabus

Algebra- The basic idea of matrices, equality of matrices, symmetric and skew symmetric matrix and finding transpose of a matrix, determinants, inverse of matrix and solving simultaneous equations are included under the algebra section.

Calculus- First and second-order derivatives, tangents and normals, functions, maxima and minima cover the calculus section. 

Applications of Integrations- Indefinite integrals, definite integrals and application of both definite and indefinite integrals as the area under the curve. 

Differential Equations- Degree and order of differential equations, formulating differential equations and solving them 

Probability distribution- Random variables, the expected value of a random variable, estimating standard deviation and variance of a random variable and binomial distribution are included under probability distribution. 

Linear programming- Formulation of a linear programming problem, graphical method of solution for two variables, identifying the feasible and infeasible regions and finding optimal solutions. 

CUET Section B1 Syllabus

CUET Maths Unit I: Relations and Functions 

Relations and functions- Reflexive, transitive, symmetric and equivalence relations, one to one mapping, composite functions and binary operations are included.

Inverse trigonometric Functions- Finding range, domain, principal value, and constructing graphs of inverse functions are some of the topics included in inverse trigonometric functions. 

CUET Maths Unit II: Algebra 

Matrices- Basic concepts of matrices, notation, order of operations, zero matrices and the transpose of a matrix are covered in this chapter. The chapter also includes properties of addition and multiplication of scalar matrices, non-commutativity of matrix multiplication, and row and column operations knowledge. 

Determinants- Important properties of determinants, estimating cofactors and applying properties of determinants in estimating an area of a triangle are included in the first section of the chapter. The second part of the chapter deals with the adjoint and inverse of a square matrix, checking for consistent and inconsistent solutions to linear equations and using the inverse method for solving linear equations in more than two variables. 

CUET Maths Unit III: Calculus 

Continuity and Differentiability- The first few sections of the chapter include a derivative of composite functions, the derivative of inverse functions, the application of the chain rule method, and finding the derivative of an implicit function. The latter sections of the chapter include exponential and logarithmic functions, logarithmic differentiation, derivatives of parametric functions, Rolle’s and Lagrange’s Mean Value Theorem and their applications. 

Application of Derivatives- The first part deals with topics like estimating the rate of change of increasing and decreasing functions, concepts about tangents and normals, and maxima and minima functions, including the first and second derivative tests. The latter part of this chapter includes some advanced level problem sums on tangents and normals. 

Integrals- The integration method is considered the inverse of the differentiation method. Integration by substitution and parts are the two different methods of integration that can be applied as per convenience. Primary properties of definite integrals and their applications are also included in this chapter. 

Applications of the Integrals- This chapter includes the application of integrals in estimating the area of circles, ellipses and parabolas.

Differential Equations- The first part of the differential equations chapter deals with a simple definition, degree and order of equations, and formation of differential equations whose solutions are mentioned. The second part includes the separation of variables method, solving homogeneous differential equations of the first order and finding solutions to linear differential equations. 

CUET Maths Unit IV: Vectors and 3-D Geometry

Vectors- Magnitude and direction of the vector, direction cosines of the vector, collinearity of vectors, position vector of a point, addition and multiplication of a vector by a scalar are covered in the first section of the chapter. The next section of the chapter includes dot products of vectors, problem sums on the projection of a vector on a straight line, cross products of vectors, and scalar triple products.

3-D Geometry- Three-dimensional geometry includes estimating ratios, finding the shortest distance between any two lines, forming cartesian and vector equations of a line, and estimating the angle between two lines, planes, and between a line and a plane. 

CUET Maths Unit V: Linear Programming 

The first section of Linear programming includes optimization techniques, formulating linear programming problems mathematically, and applying graphical methods for finding solutions to equations with two variables. The second section includes identifying the feasible and infeasible solutions and finding optimal solutions upto three non-trivial constraints. 

CUET Maths Unit VI: Probability

The first part of the chapter includes the multiplication theorem on probability, conditional probability theorem, and bayes theorem. The second part of the chapter contains a random variable and its probability distribution, repeated independent trials and binomial distribution. The third part of the chapter deals with problem sums which require the knowledge of the first two parts of the chapter. 

CUET Section B2 Syllabus

Unit I: Quantification and their Applications

Modulo Arithmetic 

Congruence Modulo

Mixture and allegation

Numerical problem sums

Boats and streams

Pipes and cisterns 

Races and games

Partnership 

Inequalities 

Unit II: Algebra 

Matrices

Transpose of a matrix, symmetric and skew-symmetric matrix

Unit III: Calculus 

Higher-order derivatives

Marginal Cost and Marginal revenue

Maxima and minima 

Unit IV: Probability distributions 

Probability distribution

Mathematical distribution 

Variance 

Unit V: Index numbers and time-based data 

Index numbers

Construction of index numbers

 Application of time-reversal test 

Unit VI: Probability 

Population and sample 

Parameter and statistics and statistical inferences 

Unit VII: Time series 

Components of time series 

Using time series analysis for univariate data 

Unit VIII: Financial Mathematics

Perpetuity, sinking funds

Bond valuation methods

Estimating EMI

Calculating depreciation through a linear method

Unit IX: Linear programming 

Introduction

Steps to form linear programming problems

Distinguishing between different types of linear programming problems

Graphical method for finding solutions

Shading feasible, bounded and infeasible regions

 

Important MCQ Questions for CUET domain subjects-2023-24

CBSE Class 12 Maths Academic Resources 2023-24