NTSE Study Material NTSE is a war of winning a lifetime prestige. You cannot win this war

National Talent Search Examination (NTSE) is a national level examination conducted by NCERT to identify and nurture the ignited and bright minds of the country. It is conducted for class X students and scholarship is awarded to the selected candidates recognised as national talent.

National Talent Search Examination (NTSE) is a two stage selection process. Students qualifying stage I are eligible to appear for the stage II of the examination. The selection in the first stage is governed by the state boards through a written examination.

This year NTSE 2020 Stage 1 is scheduled to be held on November 2020. Before starting the preparation, candidates must have a clear knowledge of NTSE exam pattern as well as NTSE syllabus. The most crucial element during the exam preparation is knowing complete and correct NTSE exam syllabus. This is necessary so that candidates can plan their preparation and focus on necessary topics. NTSEGuru Experts have provided the topics for NTS examination.

Before we get into NTSE syllabus, let's have an overview of NTSE exam pattern.

The pattern of the written examination remains same for stage I and stage II and is mentioned below. The written examination involves two different papers (MAT and SAT) of 100 marks each.

Paper I: Mental Ability Test (MAT)

Paper I MAT | No. of Questions | Marks | Exam duration |

100 | 100 | 2 hours |

Paper II: Scholastic Ability Test (SAT) which includes Maths, Science and Social science.

Paper II SAT | SAT | No. of Questions | Marks | Exam duration |

Mathematics | 20 | 20 | 2 hours | |

Science | 40 | 40 | ||

Social Science | 40 | 40 | ||

Total | 100 | 100 |

Mental ability test (MAT) is conducted to analyse the overall potential of a student in terms of problem solving and logical reasoning skills. It challenges their presence of mind within a specific time frame. These skill sets are scanned through a variety of questions related to data analytics, verbal and non-verbal reasoning, figure related problems etc. It overall analyses the approach of a student to map and solve a particular problem and puts their thinking process to test. It is one of the major parameters to screen the candidates on the basis their understanding and ability to comprehend.

NTSE has been conducting MAT to identify bright minds in the following domains:

Chapters in MAT

(1) Series | (2) Coding & Decoding |

(3) Clocks & Calendar | (4) Alphabet Test |

(5) Mathematical Operator 06_Blood Relation | (6) Blood Relation |

(7) Number and Ranking | (8) Analogy |

(9) Classification | (10) Water and Mirror Image |

(11) Cube & Dice | (12) Puzzle Test |

(13) Missing Character | (14) Direction Sense |

(15) Venn Diagram | (16) Incomplete Figures |

(17) Embedded Figures | (18) Paper Folding |

(18) Paper Folding | (20) Non-verbal classification |

(21) Non-verbal Analogy | (22) Non-verbal Figure partition |

Scholastic ability test (SAT): This section is designed to test the academic skills of a student and includes Mathematics, Science and Social science.

The NCERT prescribed syllabus for class IX and X is generally asked in NTSE stage I along with the topics that are specifically included in the state board syllabus of a particular state. Most of the states in India run NCERT books as a part of their IX and X curriculum but some states have their own state specific books. You can get the state specific content from ntseguru.in.It is important for an aspirant to acquaint himself with the preparation of the state specific topics in order to crack NTSE stage I with a good score.

A vigorous and relevant study material made by experts for NTSE stage I including the detailed question bank specific to particular state is available at NTSEguru for your help. Every minute detail is covered so as to provide the students a complete preparation package and giving an extra edge to their ambitions.

However, stage II of NTSE completely emphasises on the topics given in NCERT and deals with detailed and deeper understanding of topics on a conceptual level.

- PHYSICS
- Motion
- Force and Newton’s laws of Motion
- Gravitation
- Floatation
- Sound

- CHEMISTRY
- Matter in our surroundings
- Is matter around us pure?
- Atoms and molecules
- Structure of atom

- BIOLOGY
- CELL: Fundamental unit of life
- The tissues
- Diversity in living organisms
- Why do we fall ill?
- Natural resources
- Improvement in food resources

- PHYSICS
- Electricity
- Magnetic effects of current
- Sources of energy
- LIGHT - REFLECTION AND REFRACTION
- THE HUMAN EYE AND THE COLOURFUL WORLD

- CHEMISTRY
- Chemical reactions
- Acids, bases and salts
- Metals and nonmetals
- Carbon and its compounds
- Periodic classification of elements

- BIOLOGY
- Life processes
- Control and co-ordination in animals and plants
- Control and co-ordination in animals
- How do organisms reproduce?
- Heredity and Evolution
- Our environment
- Sustainable management of natural resources

- Unit 1: India and the Contemporary World –
- I. The French Revolution
- III. Nazism and the Rise of Hitler
- Any one theme of the following
- IV. Forest Society and Colonialism
- V. Pastoralists in the Modern World
- Unit 2: Contemporary India – I
- 1. India
- 2. Physical Features of India
- 3. Drainage
- 4. Climate
- 5. Natural Vegetation and Wild Life
- 6. Population
- Unit 3: Democratic Politics –
- 1. What is Democracy? Why Democracy?
- 2. Constitutional Design
- 3. Electoral Politics
- 4. Working of Institutions
- 5. Democratic Rights
- Unit 4: Economics
- 1. The Story of Village Palampur
- 2. People as Resource
- 3. Poverty as a Challenge
- 4. Food Security in India

- Unit 1: India and the Contemporary World – II
- 1. The Rise of Nationalism in Europe
- 2. Nationalism in India
- Any one theme of the following:
- 3. The Making of a Global World
- 4. The Age of Industrialization
- 5. Print Culture and the Modern World
- Unit 2: Contemporary India – II
- 1. Resources and Development
- 2. Forest and Wildlife
- 3. Water Resources
- 4. Agriculture
- 5. Minerals and Energy Resources
- 6. Manufacturing Industries
- 7. Life Lines of National Economy
- Unit 3: Democratic Politics
- 1. Power Sharing Case Studies of Belgium and Sri Lanka
- 2. Federalism What is Federalism?
- 3. Democracy and Diversity
- 4. Gender, Religion and Caste
- 5. Popular Struggles and Movements
- 6. Political Parties
- 7. Outcomes of Democracy
- 8. Challenges to Democracy
- Unit 4: Understanding Economic Development
- 1. Development
- 2. Sectors of the Indian Economy
- 3. Money and Credit
- 4. Globalization and the Indian Economy

- UNIT I: NUMBER SYSTEMS
- 1. REAL NUMBERS

1. Review of representation of natural numbers, integers, rational numbers, terminating / non-terminating recurring decimals on the number line through successive magnification. Rational numbers as recurring/ terminating decimals. Operations on real numbers.

2. Examples of non-recurring/non-terminating decimals. Existence of non-rational numbers, and their representation on the number line. Explaining that every real number is represented by a unique point on the number line and conversely, viz. every point on the number line represents a unique real number.

3. Definition of nth root of a real number. Rationalization (with precise meaning) of real numbers of the type and (and their combinations) where x and y are natural number and a and b are integers.

4. Laws of exponents with integral powers. Rational exponents with positive real - UNIT II: ALGEBRA
- 1. POLYNOMIALS

Definition of a polynomial in one variable, with examples .Coefficients, terms of a polynomial and zero polynomial. Degree of a polynomial. Constant, linear, quadratic and cubic polynomials. Monomials, binomials, trinomials. Factors and multiples. Zeros of a polynomial. The Remainder Theorem with examples. Statement and proof of the Factor Theorem. Factorization of ax^{2}+ bx + c, a ≠ 0 where a, b and c are real numbers, and of cubic polynomials using the Factor Theorem. Recall of algebraic expressions and identities. Verification of identities, factorization of polynomials.

2. LINEAR EQUATIONS IN TWO VARIABLES

Recall of linear equations in one variable. Introduction to the equation in two variables. Focus on linear equations of the type ax+by+c=0. Explain that a linear equation in two variables has infinitely many solutions and justify their being written as ordered pairs of real numbers, plotting them and showing that they lie on a line. Graph of linear equations in two variables. - UNIT III: COORDINATE GEOMETRY
- COORDINATE GEOMETRY : The Cartesian plane, coordinates of a point, names and terms associated with the coordinate plane, notations, plotting points in the plane.
- UNIT IV: GEOMETRY
- 1. INTRODUCTION TO EUCLID'S GEOMETRY :History - Geometry in India and Euclid's geometry. Euclid's method of formalizing observed phenomenon into rigorous Mathematics with definitions, common/obvious notions, axioms/postulates and theorems. The five postulates of Euclid. Equivalent versions of the fifth postulate. Showing the relationship between axiom and theorem, for example: (Axiom)

1. Given two distinct points, there exists one and only one line through them.

2. Two distinct lines cannot have more than one point in common. - 2. LINES AND ANGLES

1. If a ray stands on a line, then the sum of the two adjacent angles so formed is 180O and the converse.

2. If two lines intersect, vertically opposite angles are equal.

3. Results on corresponding angles, alternate angles, interior angles when a transversal intersects two parallel lines.

4. Lines which are parallel to a given line are parallel.

5. The sum of the angles of a triangle is 180O .

6. If a side of a triangle is produced, the exterior angle so formed is equal to the sum of the two interior opposite angles. - 3. TRIANGLES

1. Two triangles are congruent if any two sides and the included angle of one triangle is equal to any two sides and the included angle of the other triangle (SAS Congruence).

2. Two triangles are congruent if any two angles and the included side of one triangle is equal to any two angles and the included side of the other triangle (ASA Congruence).

3. Two triangles are congruent if the three sides of one triangle are equal to three sides of the other triangle (SSS Congruence).

4. Two right triangles are congruent if the hypotenuse and a side of one triangle are equal (respectively) to the hypotenuse and a side of the other triangle. (RHS Congruence)

5. The angles opposite to equal sides of a triangle are equal.

6. The sides opposite to equal angles of a triangle are equal.

7. Triangle inequalities and relation between ‘angle and facing side' inequalities in triangles. - 4. QUADRILATERALS

1. The diagonal divides a parallelogram into two congruent triangles.

2. In a parallelogram opposite sides are equal, and conversely.

3. In a parallelogram opposite angles are equal, and conversely.

4. A quadrilateral is a parallelogram if a pair of its opposite sides is parallel and equal.

5. In a parallelogram, the diagonals bisect each other and conversely.

6. In a triangle, the line segment joining the mid points of any two sides is parallel to the third side and in half of it and its converse. - 5. AREA

Review concept of area, recall area of a rectangle.

1. Parallelograms on the same base and between the same parallels have equal area.

2. Triangles on the same base (or equal bases) and between the same parallels are equal in area. - 6. CIRCLES

Through examples, arrive at definition of circle and related concepts-radius, circumference, diameter, chord, arc, secant, sector, segment, subtended angle.

1. Equal chords of a circle subtend equal angles at the center and its converse.

2. The perpendicular from the center of a circle to a chord bisects the chord and conversely, the line drawn through the center of a circle to bisect a chord is perpendicular to the chord.

3. There is one and only one circle passing through three given non-collinear points.

4. Equal chords of a circle (or of congruent circles) are equidistant from the center (or their respective centers) and conversely.

5. The angle subtended by an arc at the center is double the angle subtended by it at any point on the remaining part of the circle.

6. Angles in the same segment of a circle are equal.

7. If a line segment joining two points subtends equal angle at two other points lying on the same side of the line containing the segment, the four points lie on a circle.

8. The sum of either of the pair of the opposite angles of a cyclic quadrilateral is 180° and its converse. - 7. CONSTRUCTIONS

1. Construction of bisectors of line segments and angles of measure 60o, 90o, 45o etc., equilateral triangles.

2. Construction of a triangle given its base, sum/difference of the other two sides and one base angle.

3. Construction of a triangle of given perimeter and base angles. - UNIT V: MENSURATION
- 1. AREAS

Area of a triangle using Heron's formula (without proof) and its application in finding the area of a quadrilateral. - 2. SURFACE AREAS AND VOLUMES

Surface areas and volumes of cubes, cuboids, spheres (including hemispheres) and right circular cylinders/cones. - UNIT VI: STATISTICS & PROBABILITY
- 1. STATISTICS

Introduction to Statistics: Collection of data, presentation of data — tabular form, ungrouped / grouped, bar graphs, histograms (with varying base lengths), frequency polygons. Mean, median and mode of ungrouped data. - 2. PROBABILITY

Repeated experiments and observed frequency approach to probability. Focus is on empirical probability.

- UNIT I: NUMBER SYSTEMS
- 1. REAL NUMBER : Euclid’s division lemma, Fundamental Theorem of Arithmetic - statements Proofs of irrationality of Decimal representation of rational numbers in terms of terminating/non-terminating recurring decimals.
- UNIT II: ALGEBRA
- 1. POLYNOMIALS : Zeros of a polynomial. Relationship between zeros and coefficients of quadratic polynomials. Statement and simple problems on division algorithm for polynomials with real coefficients.

2. PAIR OF LINEAR EQUATIONS IN TWO VARIABLES : Pair of linear equations in two variables and graphical method of their solution, consistency/inconsistency. Algebraic conditions for number of solutions. Solution of a pair of linear equations in two variables algebraically - by substitution, by elimination and by cross multiplication method. Simple situational problems. Simple problems on equations reducible to linear equations.

3. QUADRATIC EQUATIONS :Standard form of a quadratic equation ax^{2}+ bx + c = 0, (a ≠ 0). Solutions of quadratic equations (only real roots) by factorization, and by using quadratic formula. Relationship between discriminant and nature of roots. Situational problems based on quadratic equations related to day to day activities to be incorporated.

4. ARITHMETIC PROGRESSIONS : Arithmetic Progression Derivation of the nth term and sum of the first n terms of A.P. and their application in solving daily life problems. - UNIT III: COORDINATE GEOMETRY
- 1. Concepts of coordinate geometry, graphs of linear equations. Distance formula. Section formula (internal division). Area of a triangle.
- UNIT IV: GEOMETRY
- 1. TRIANGLES

Definitions, examples, counter examples of similar triangles.

1. If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio.

2. If a line divides two sides of a triangle in the same ratio, the line is parallel to the third side.

3. If in two triangles, the corresponding angles are equal, their corresponding sides are proportional and the triangles are similar.

4. If the corresponding sides of two triangles are proportional, their corresponding angles are equal and the two triangles are similar.

5. If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are proportional, the two triangles are similar.

6. If a perpendicular is drawn from the vertex of the right angle of a right triangle to the hypotenuse, the triangles on each side of the perpendicular are similar to the whole triangle and to each other.

7. The ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides.

8. In a right triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides.

9. In a triangle, if the square on one side is equal to sum of the squares on the other two sides, the angles opposite to the first side is a right angle. - 2. CIRCLES :

Tangent to a circle at, point of contact

1. The tangent at any point of a circle is perpendicular to the radius through the point of contact.

2. The lengths of tangents drawn from an external point to a circle are equal.

3. CONSTRUCTIONS

1. Division of a line segment in a given ratio (internally).

2. Tangents to a circle from a point outside it.

3. Construction of a triangle similar to a given triangle. - UNIT V: TRIGONOMETRY
- 1. INTRODUCTION TO TRIGONOMETRY : Trigonometric ratios of an acute angle of a right-angled triangle. Proof of their existence (well defined); Values of the trigonometric ratios of 00 300 , 450 and 600 , 900. Relationships between the ratios.
- 2. TRIGONOMETRIC IDENTITIES :Proof and applications of the identity sin
^{2}A + cos^{2}A = 1. Only simple identities to be given.

Trigonometric ratios of complementary angles.

Helpline No.: 9174408561

NTSE Guru © 2020 All Rights Reserved.