| Medals and Certificates |
Results |
- Top three rank holders in each class will be entitled to be awarded Gold, Silver and Bronze medals along with cash prizes and remaining winners will be entitled to be awarded cash prizes with certificate of excellence. Any Institution/Person actively contributing in organising the TSTMS will be awarded certificate of contribution for their co-operation.
|
- The result of TSTMS are declared on the official website www.bmsbihar.org of Bihar Mathematical Society.
|
| How to Apply |
Examination Pattern |
- The students are invited to directly register and enroll themselves online on official website www.bmsbihar.org of BMS. Detailed instructions for filling up online applications are available on the abovementioned website. The applicants must ensure that while filling their application form, they are providing their valid and active E-mail Id and mobile number as the society may use electronic mode of communication while contacting them. The applicants are advised to check their emails at regular intervals.
|
- It is objective type test with a duration of one hour comprising 25 questions. In case there are too many applicants the society may decide to subjective test of two hours duration of two hours comprising 10 questions.
|
| Talent Search Test in Mathematical Sciences (TSTMS Junior) Syllabus (Class VI-XII) |
| Class-VI |
Class-VII |
| Number system, Factors and Multiples, Test of divisibility of numbers, HCF and LCM,
Decimals and Fractions, Unitary Method, Elementary Properties of Factorial. Mensuration,
Parameter and Area of simple curve. Algebraic equations and Expressions, Ratio and Proportion,
Percentage and their applications, Symmetry, Making symmetry figures, Reflection and
Symmetry. Geometry, Understanding Elementary Shapes of 2 and 3 dimensions, Line segment,
Parallel lines, Polygons, The Triangles and its properties, Quadrilaterals, Circle. Data Handling. |
Elementary properties of real numbers, LCM and HCF, Divisibility rules, Fractions and
Decimals, Exponents and Powers, Digit at Unit and tens place in the power of positive integers,
Identities, Comparing Quantities, Percentage, Profit and Loss, Simple interest.
Algebraic Equations and Expressions, Law of indices, Exponential Equation. Visualising of
Solid Shapes, Lines and Angles, The Triangle and its Properties, Symmetry, Congruence of
Triangles, Quadrilaterals, Polygons, Circles. Perimeter and Area of Triangle, Rectangle,
Parallelogram, Trapezium, Rhombus, Square, Cube and Cuboid.
Data Handling, Arithmetic Mean, Median and Mode. Simple
Trigonometrical identities and their properties. Basic concept of
Probability. |
| Class-VIII |
Class-IX |
| Properties of real numbers, LCM and HCF of polynomials, Squares and Square Roots, Cubes
and Cube Roots, Exponents and Powers, Comparing Quantities.
Percentage, Simple and Compound Interest, Discount and Partnership, Time and Distance,
Work and Time. Algebraic Expressions and Identities, Linear equations and inequations.
Plane, Lines, Angles, Triangles, Congruence, Quadrilaterals, Circles Constructions,
Mensuration, Visualising Solid Shapes, Circle, Cone, Sphere, Cube and Cuboids Direct and
Inverse Proportions, Factorisation, Introduction to Graphs. Data Handling, Mean, Median,
Mode and their Simple Properties. Basic concept of Probability. Elementary properties of
Sets, Union, Intersection, Venn Diagrams, ordered pairs.
|
Number Systems, Prime and Composite numbers, Surds and rationalisation of surds,
Congruence, Fermat and Wilson theorem, Pythagorean triads, Polynomials, Algebraic
expression and identities, Linear Equations in Two Variables, Graph of linear equations
Coordinate Geometry, Coordinate of a point, Distance formula, Section formula, Area of
Triangle and Quadrilateral.
Introduction to Euclid’s Geometry, Lines and Angles, Triangles, Congruent triangle,
Condition of similar triangles, Quadrilaterals, Constructions.
Properties of Polygons, Mensuration, Areas of Parallelograms and Triangles, Heron’s
Formula, Area of Cyclic quadrilateral, Surface Areas and Volumes of cube, cuboid,
cylinder, cone, sphere and Circle. Introduction of Statistics, Graphical representation of
statistical data, Mean, Median of ungrouped data.
Trigonometrical identities and their Properties, Logarithm.
Definition of probability, Terms of probability. |
| Class-X |
Class-XI |
| Real and Complex Numbers, Polynomials, Pair of Linear Equations in Two Variables,
Quadratic Equations and Expressions, Arithmetic Progressions. Concepts of Coordinate
Geometry, Straight Lines, Pair of Straight Lines.
Trigonometrical Ratio, compound angles, Multiple angles and Submultiple angles,
Conditional Identities, Height and distance.
Geometry of triangle, Circles, Constructions, Mensuration, Areas related to Circles,
Surface Areas and Volumes of Cylinder, Cone and Sphere.
Introduction of Statistics, Basic concepts of Mean, Median, Mode, Histograms and Ogive.
Probability of Random experiments, Sample space, Events, simple problem of single
events.
|
Sets and their properties, Subsets, Power Set, Union, Intersection, Complements of a
set, Relations and functions. Principle of Mathematical Induction, Complex Numbers,
Quadratic Equations and Expressions, Partial Fraction, Binomial Theorem, Multinomial
theorem, Linear Inequations, Sequences and Series (A.P, G.P and H.P), CombinatoricsSimple Permutations and Combinations, Pigeon Hole Principle (PHP).Trigonometry,
Domain and range of trigonometrical functions, Graphs, Conditional Identities,
Trigonometrical Equations, General solutions of trigonometrical equations, Properties
Triangles, Logarithms.
Coordinate Geometry of Straight Lines, Conic Sections of Circle, Parabola, Ellipse and
Hyperbola. Statistics (Measure of dispersion), Mean Deviation, Variance and Standard
Deviation. Functions, Limits, Continuity of a Function, Differentiation including Chain
Rules, Application of Derivatives, Probability, Addition theorem, Multiplication
theorem, Conditional probability.
Introduction to 3-D Geometry of Distance Formulae, Section Formulae, Direction
Cosines and Ratios, Plane. Indefinite Integration, Transformation rule of integration. |
| Class-XII |
| Number Theory, congruence modulo m, Relations and Functions, Equivalence
Relations, Binary Operation, Inverse Trigonometric Functions.
Matrices and Determinants, Inequalities.
Continuity and Differentiability, Application of Derivatives, Tangent and Normal,
Mean value theorem, Maxima and minima Integrals, Definite integrals. properties of
definite integrals, Application of Integrals (area bounded by curve) Differential
Equations of first degree and first order, order and degree, formation of differential
equations, application of differential equations.
Vector Algebra, Scalar and Vector products of two and three vectors.
Three-dimensional geometry of plane and straight lines, shortest distance between two
lines.
Probability of Different type Events, Mutually Exclusive and Independent Events,
Addition and Multiplication theorem, Conditional Probability, Bayes’ Theorem,
Random variable, Expectations, Probability Distribution and Binomial Distribution.
Formation of Linear Programming Problem and their Solution by Graphical Method |
