Table of Contents |
Chapter Number and Name | List of Exercises | Subtopics |
Ch-1 Number System |
Contains seven exercises from 1A to 1G:
1A - This exercise is a reference for helping students know the methods to find rational numbers between two given numbers. 1B contains 5 Questions 1C contains 14 questions 1D contains 8 questions 1E contains 10 questions 1F contains 25 questions 1G contains 18 questions
| Introduction Representation of Integers on Number Line Representation of Rational Numbers on Real Line Finding Rational Numbers between two given Rational Numbers Decimal Representation of Rational Numbers Irrational Numbers
Properties of Rational Numbers Real Numbers Addition Properties of Real Numbers Multiplication Properties of Real Numbers Representing Irrational Numbers on the Number Line Representing Real Numbers on the Number Line Rationalization Law of Exponents
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Ch-2 Polynomials | This chapter contains the following four exercises:
2A - containing 6 questions 2B - containing 9 questions 2C - containing 16 questions 2D - containing 26 questions | Algebraic Expressions Terms of an Algebraic Expression Polynomials in one variable Polynomials of Various degrees Number of Terms in a Polynomial Value of a Polynomial Zeros of a Polynomial Division Algorithm in Polynomials Remainder Theorem Factor Theorem
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Ch-3 Factorization of Polynomials
| This chapter has seven exercises containing the following questions:
3A contains 34 questions 3B contains 40 questions 3C contains 66 questions 3D contains 7 questions 3E contains 10 questions 3F contains 38 questions 3G contains 25 questions |
|
Ch-4 Linear equations in two variables |
This chapter contains two exercises comprising the following set of questions:
4A contains 7 questions 4B contains 12 questions | Introduction Linear Equations in Two Variables Solution of a linear equation Graph of linear equation in two variables
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Ch-5 | Coordinate Geometry |
Introduction to the chapter Cartesian Coordinates Coordinate Geometry Coordinate System Coordinates of a point in a plane Points on Coordinate Axes
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Ch-6 Introduction to Euclid’s Geometry
| Contains one exercise only |
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Ch-7 Lines and Angles | This chapter has three exercises:
7A - contains 12 questions 7B - contains 16 questions 7C - contains 24 questions | Basic Terms and Definitions Various types of Angles Some Angle Relations Some Results on Angle Relations Results on Parallel Lines Corresponding Angles Axiom
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Ch-8 Triangles | This chapter has one exercise only |
Triangles Types of Triangles on the basis of sides Types of Triangles on the basis of angles Some terms related to Triangle Exterior and interior opposite angles of a Triangle Some results on Triangles
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Ch-9 Congruence of triangles & inequalities in a triangle | This chapter has two exercises:
9A has 27 questions 9B has 16 questions |
Congruent Figures Congruent Triangles Congruence Relation in the set of all Triangles SAS Criteria for Congruence of Triangles ASA Criteria for Congruence of Triangles AAS Criteria for Congruence of Triangles SSS Criteria for Congruence of Triangles RHS Criteria for Congruence of Triangles Inequalities in a Triangle
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Ch-10 Quadrilaterals | This chapter has three exercises containing problems based on the type of quadrilaterals and theorems on parallelograms.
10A - contains 10 questions 10B - contains 27 questions 10C - contains 18 questions
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Various types of quadrilaterals Results on Parallelograms Converse of the above theorems Some results on rectangle, rhombus, and square Midpoint Theorem
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Ch-11 Areas of Parallelograms & Triangles |
Contains one exercise only. |
Euclidean Area Axioms Figures on the same base and between the same parallels Parallelograms on the same base and between the same parallels Base and altitude of a parallelogram
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Ch-12 Circles | Contains three exercises:
11A - contains 23 questions 11B - contains 18 questions 11C - contains 26 questions
|
All the terms related to a circle Position of a point with respect to a circle Degree measure of an arc Minor and major arcs of a circle Congruence of circles Chord properties of circles Some results on congruent circles Results on angles subtended by arcs Results on cyclic quadrilaterals
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Ch-13 | Geometrical Constructions
One exercise only | Perpendicular bisector of a line segment To draw the perpendicular bisector of a given line segment Bisector of a given angle Construction of angles using ruler and compasses
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Ch-14 Areas of Triangles & Quadrilaterals
| Contains one exercise only | |
Ch-15 Volume and Surface Areas of Solids
| Contains four exercises:
15A - 28 questions 15B - 33 questions 15C - 21 questions 15D - 28 questions | |
Ch-16 Presentation of Data in Tabular Form
| Contains one exercise only | Introduction Fundamental Characteristics of Data Limitations of Statistics Types of Data Frequency distribution of an ungrouped data Types of Frequency Distribution Some definitions Class boundaries or true upper and lower limits Method of forming classes of a data
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Ch-17 Bar Graph, Histogram, and Frequency Polygon
| Two exercises:
17A - 12 questions 17B - 16 questions | |
Ch-18 Mean, Median, and Mode of Ungrouped Data
| 18A - 31 questions 18B - 14 questions 18C - 10 questions 18D - 8 questions | |
Ch-19 Probability | Contains one exercise only | |
