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# Frank Solutions for Class 9 Maths - Part 1

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## Solutions for Class 9 Mathematics - Part 1

Shaalaa provides Frank Solutions for Class 9 Mathematics and has all the answers for the questions given in Class 9 Mathematics - Part 1. Shaalaa is surely a site that most of your classmates are using to perform in exams.

You can solve Class 9 Mathematics - Part 1 and use Shaalaa Frank Solutions for Class 9 Mathematics to check your answers.

## Chapters covered in Frank Solutions for Class 9 Maths - Part 1

#### Chapter 1: Irrational Numbers

Shaalaa has a total of 147 questions with solutions for this chapter in Class 9 Mathematics. Concepts covered in Irrational Numbers are Concept of Irrational Numbers, Concept of Rational Numbers, Concept of Real Numbers, Concept of Surds, Decimal Representation of Rational Numbers, Properties of Rational Numbers, Rationalization of Surd of order 2, Simplifying an expression by rationalization of the Denominator

#### Chapter 2: Profit , Loss and Discount

Shaalaa has a total of 118 questions with solutions for this chapter in Class 9 Mathematics. Concepts covered in Profit , Loss and Discount are Concept of Discount, Concept of Profit, Loss and Discount, Overhead Expenses, Profit Or Loss as a Percentage, To Find C.P., When S.P. and Gain (Or Loss) Percent Are Given, To Find S.P., When C.P. and Gain (Or Loss) Percent Are Given

#### Chapter 3: Compound Interest

Shaalaa has a total of 49 questions with solutions for this chapter in Class 9 Mathematics. Concepts covered in Compound Interest are Concept of Compound Interest, Inverse Formula, Miscellaneous Problem, Use of Compound Interest in Computing Amount Over a Period of 2 Or 3-years, When the Interest is Compounded Half Yearly, When the Time is Not an Exact Number of Years and the Interest is Compounded Yearly

#### Chapter 4: Expansions

Shaalaa has a total of 105 questions with solutions for this chapter in Class 9 Mathematics. Concepts covered in Expansions are Algebraic Identities, Expansion of ( a + b )3, Expansion of Formula, Method of Cross - Multiplication, Special Product

#### Chapter 5: Factorisation

Shaalaa has a total of 95 questions with solutions for this chapter in Class 9 Mathematics. Concepts covered in Factorisation are Factorisation, Method of Factorisation, Method of Factorisation : Difference of Two Squares, Method of Factorisation : the Sum Or Difference of Two Cubes, Method of Factorisation : Trinomial of the Form, Method of Factorization : by Taking Out the Common Factors, Method of Factorization : Grouping

#### Chapter 6: Changing the subject of a formula

Shaalaa has a total of 51 questions with solutions for this chapter in Class 9 Mathematics. Concepts covered in Changing the subject of a formula are Changing the Subject of a Formula

#### Chapter 7: Linear Equations

Shaalaa has a total of 158 questions with solutions for this chapter in Class 9 Mathematics. Concepts covered in Linear Equations are Concept for Simple Linear Equations in One Variable, Concept of Linear Equations in Two Variables, Elimination Method of Solving Simultaneous Equations, Equations Reducible to Linear Equations, Method of Cross - Multiplication, Method of Elimination by Equating Coefficients, Method of Elimination by Substitution, Simultaneous Equations

#### Chapter 8: Simultaneous Linear Equations

Shaalaa has a total of 92 questions with solutions for this chapter in Class 9 Mathematics. Concepts covered in Simultaneous Linear Equations are Concept for Simple Linear Equations in One Variable, Concept of Linear Equations in Two Variables, Elimination Method of Solving Simultaneous Equations, Equations Reducible to Linear Equations, Graphs of Linear Equations in Two Variables, Method of Cross - Multiplication, Method of Elimination by Equating Coefficients, Method of Elimination by Substitution, Simultaneous Equations, Solution of Simulataneous Linear Equation Graphically

#### Chapter 9: Indices

Shaalaa has a total of 80 questions with solutions for this chapter in Class 9 Mathematics. Concepts covered in Indices are Handling Positive, Fraction, Negative and Zero Indices, Laws of Indices, Simplification of Expressions, Solving Exponential Equations

#### Chapter 10: Logarithms

Shaalaa has a total of 183 questions with solutions for this chapter in Class 9 Mathematics. Concepts covered in Logarithms are Expansion of Expressions with the Help of Laws of Logarithm, Exponential to Logarithmic, Interchanging Logarithmic and Exponential Forms, Introduction of Logarithms, Laws of Logarithm, Logarithmic to Exponential, More About Logarithm, Power Law, Product Law, Quotient Law

#### Chapter 11: Triangles and their congruency

Shaalaa has a total of 51 questions with solutions for this chapter in Class 9 Mathematics. Concepts covered in Triangles and their congruency are Concept of Congruency of Triangles, Condition for Congruency of Triangle, Important Terms of Triangle, Introduction of Triangle, Relation Between Sides and Angles of Triangle

#### Chapter 12: Isosceles Triangle

Shaalaa has a total of 32 questions with solutions for this chapter in Class 9 Mathematics. Concepts covered in Isosceles Triangle are Isosceles Triangle : If Two Angles of a Triangle Are Equal, the Sides Opposite to Them Are Also Equal., Isosceles Triangles, Isosceles Triangles : If Two Sides of a Triangle Are Equal, the Angles Opposite to Them Are Also Equal.

#### Chapter 13: Inequalities in Triangles

Shaalaa has a total of 33 questions with solutions for this chapter in Class 9 Mathematics. Concepts covered in Inequalities in Triangles are If Two Angles of a Triangle Are Unequal, the Greater Angle Has the Greater Side Opposite to It., If two sides of a triangle are unequal, the greater side has the greater angle opposite to it., Inequalities in a Triangle, Of All the Lines, that Can Be Drawn to a Given Straight Line from a Given Point Outside It, the Perpendicular is the Shortest.

#### Chapter 14: Constructions of Triangles

Shaalaa has a total of 39 questions with solutions for this chapter in Class 9 Mathematics. Concepts covered in Constructions of Triangles are Construction of Triangles, Construct Isosceles Triangle

#### Chapter 15: Mid-point and Intercept Theorems

Shaalaa has a total of 47 questions with solutions for this chapter in Class 9 Mathematics. Concepts covered in Mid-point and Intercept Theorems are Equal Intercept Theorem, The Mid-point Theorem

#### Chapter 16: Similarity

Shaalaa has a total of 76 questions with solutions for this chapter in Class 9 Mathematics. Concepts covered in Similarity are Figures Between the Same Parallels, Introduction of Area Theorems, Similarity Examples and Solutions, Triangles with the Same Vertex and Bases Along the Same Line

#### Chapter 17: Pythagoras Theorem

Shaalaa has a total of 33 questions with solutions for this chapter in Class 9 Mathematics. Concepts covered in Pythagoras Theorem are Introduction of Pythagoras Theorem, Pythagoras Theorem, Regular Polygon

#### Chapter 18: Rectilinear Figures

Shaalaa has a total of 49 questions with solutions for this chapter in Class 9 Mathematics. Concepts covered in Rectilinear Figures are Concept of Quadrilaterals, Diagonal Properties of Different Kinds of Parallelograms, In a Parallelogram, Both the Pairs of Opposite Angles Are Equal., In a Parallelogram, Both the Pairs of Opposite Sides Are Equal., In a Rectangle, Diagonal Are Equal, In a Square, Diagonal Are Equal and Meet at Right Angles, Introduction of Rectilinear Figures, Kinds of Quadrilaterals, Names of Polygons, Rhombus is a Special Parallelogram Whose Diagonals Meet at Right Angles.

Shaalaa has a total of 46 questions with solutions for this chapter in Class 9 Mathematics. Concepts covered in Quadrilaterals are Concept of Quadrilaterals, Diagonal Properties of Different Kinds of Parallelograms, In a Parallelogram, Both the Pairs of Opposite Angles Are Equal., In a Parallelogram, Both the Pairs of Opposite Sides Are Equal., In a Rectangle, Diagonal Are Equal, In a Square, Diagonal Are Equal and Meet at Right Angles, Introduction of Rectilinear Figures, Kinds of Quadrilaterals, Names of Polygons, Rhombus is a Special Parallelogram Whose Diagonals Meet at Right Angles.

#### Chapter 20: Constructions of Quadrilaterals

Shaalaa has a total of 27 questions with solutions for this chapter in Class 9 Mathematics. Concepts covered in Constructions of Quadrilaterals are Construction of Parallelograms, Construction of Quadrilateral, Construction of Rectangles, Construction of Rhombus, Construction of Square, Construction of Trapezium, To Construct a Regular Hexagon

#### Chapter 21: Areas Theorems on Parallelograms

Shaalaa has a total of 37 questions with solutions for this chapter in Class 9 Mathematics. Concepts covered in Areas Theorems on Parallelograms are Concept of Quadrilaterals, Diagonal Properties of Different Kinds of Parallelograms, In a Parallelogram, Both the Pairs of Opposite Angles Are Equal., In a Parallelogram, Both the Pairs of Opposite Sides Are Equal., In a Rectangle, Diagonal Are Equal, In a Square, Diagonal Are Equal and Meet at Right Angles, Introduction of Rectilinear Figures, Kinds of Quadrilaterals, Names of Polygons, Rhombus is a Special Parallelogram Whose Diagonals Meet at Right Angles.

#### Chapter 22: Statistics

Shaalaa has a total of 50 questions with solutions for this chapter in Class 9 Mathematics. Concepts covered in Statistics are Class Intervals and Class Limits, Concept of Median, Cumulative Frequency Table, Frequency, Frequency Distribution Table, Graphical Representation of Continuous Frequency Distribution, Graphical Representation of Data, Introduction of Statistics, Mean of Ungrouped Data, Properties of Mean, Tabulation of Data, Types of Frequency Distribution, Variable

#### Chapter 23: Graphical Representation of Statistical Data

Shaalaa has a total of 16 questions with solutions for this chapter in Class 9 Mathematics. Concepts covered in Graphical Representation of Statistical Data are Class Intervals and Class Limits, Cumulative Frequency Table, Frequency, Frequency Distribution Table, Graphical Representation of Continuous Frequency Distribution, Graphical Representation of Data, Introduction of Statistics, Tabulation of Data, Types of Frequency Distribution, Variable

#### Chapter 24: Perimeter and Area

Shaalaa has a total of 114 questions with solutions for this chapter in Class 9 Mathematics. Concepts covered in Perimeter and Area are Area and Perimeter of Quadrilaterals, Area and Perimeter of Triangle, Area of Circle, Circumference of a Circle, Introduction of Area and Perimeter of Plane Figures, Some Special Types of Quadrilaterals, Some Special Types of Triangles

#### Chapter 25: Surface Areas and Volume of Solids

Shaalaa has a total of 80 questions with solutions for this chapter in Class 9 Mathematics. Concepts covered in Surface Areas and Volume of Solids are Concept of Cube, Concept of Cylinders, Cost of an Article, Cross Section, Cuboid, Flow of Water ( or any other liquid ), Introduction of Solids

#### Chapter 26: Trigonometrical Ratios

Shaalaa has a total of 74 questions with solutions for this chapter in Class 9 Mathematics. Concepts covered in Trigonometrical Ratios are Concept of Perpendicular, Base, and Hypotenuse in a Right Triangle, Notation of Angles, Reciprocal Relations, Trigonometrical Ratios

#### Chapter 27: Trigonometrical Ratios of Standard Angles

Shaalaa has a total of 140 questions with solutions for this chapter in Class 9 Mathematics. Concepts covered in Trigonometrical Ratios of Standard Angles are Trigonometrical Ratios of Angles 30, 60 and 45, Trigonometric Equation Problem and Solution

#### Chapter 28: Coordinate Geometry

Shaalaa has a total of 0 questions with solutions for this chapter in Class 9 Mathematics. Concepts covered in Coordinate Geometry are Cartesian Plane, Co-ordinates of Points, Dependent and Independent Variables, Finding the Slope and the Y-intercept of a Given Line, Graphs, Graphs of Linear Equations, Inclination and Slope, Introduction of Co-ordinate Geometry, Ordered Pair, Plotting of Points, Quadrants and Sign Convention, Y-intercept

## Frank Solutions for Class 9 Maths - Part 1

Class 9 Frank solutions answers all the questions given in the Frank textbooks in a step-by-step process. Our Mathematics tutors have helped us put together this for our Class 9 Students. The solutions on Shaalaa will help you solve all the Frank Class 9 Mathematics questions without any problems. Every chapter has been broken down systematically for the students, which gives fast learning and easy retention.

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Our Frank solutions for Class 9 Maths - Part 1 cover everything from Irrational Numbers, Profit , Loss and Discount, Compound Interest, Expansions, Factorisation, Changing the subject of a formula, Linear Equations, Simultaneous Linear Equations, Indices, Logarithms, Triangles and their congruency, Isosceles Triangle, Inequalities in Triangles, Constructions of Triangles, Mid-point and Intercept Theorems, Similarity, Pythagoras Theorem, Rectilinear Figures, Quadrilaterals, Constructions of Quadrilaterals, Areas Theorems on Parallelograms, Statistics, Graphical Representation of Statistical Data, Perimeter and Area, Surface Areas and Volume of Solids, Trigonometrical Ratios, Trigonometrical Ratios of Standard Angles, Coordinate Geometry and the other topics. Yes, these are the best Frank 12 Mathematics solution options on the market. You get to fully prepare for the exam in a reliable and comprehensive manner. You just have to check it out for yourself and the experience can be really impressive.

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