Mathematics for EmSAT Achieve - Notes & Study Material for EmSAT Achieve
Get access to free study material for Mathematics for EmSAT Achieve of EmSAT Achieve for 2026 exams, with Revision Notes, PPTs, Flashcards, Question & Answer, & more.
Polynomials
| Chapter Notes: Polynomials 13 pages |  |
| PPT: Polynomials 20 pages | |
| Important Definitions & Formulas: Polynomials 5 pages | |
| Geometrical meaning of the Zeroes of a Polynomial 5 pages | |
| Additional Questions Answers: Polynomials 6 pages | |
| Short Answer Questions: Polynomials -1 13 pages | |
| Short Answer Questions: Polynomials - 2 10 pages | |
| Introduction: Polynomials 4 pages | |
| Value Based Questions: Polynomials 3 pages | |
| Index: Polynomials 1 page | |
| Relationship between Zeroes & Coefficients of a Polynomial 3 pages | |
| Division Algorithm for Polynomials 4 pages | |
| Formula Sheet: Polynomials 5 pages | |
Equations in One Variable
| Chapter Notes: Linear Equations in One Variable 3 pages | |
| PPT: Linear Equations in One Variable 14 pages | |
| Points to Remember: Linear Equations in One Variable 4 pages | |
| Worksheet Questions: Linear Equations in One Variable 1 page | |
| Formative Assessment: Linear Equations in One Variable 1 page | |
| Solved Questions: Linear Equations in One Variable 2 pages | |
| MCQ (with Solutions): Linear Equations in One Variable 1 page | |
| Reducing Equations to Simpler Form 3 pages | |
| Important Formulas: Linear Equations in One Variable 3 pages | |
Inequalities
| Linear Inequalities in One Variable and Two Variables 12 pages | |
| Important Formulas: Inequalities 9 pages | |
System of Equations
| Equations of Lines Parallel to the x-axis & y-axis 5 pages | |
| Short Notes: Linear Equations in Two Variables 3 pages | |
| Very Short Answer Type Questions: Linear Equations in Two Variables 3 pages | |
| Value-Based Questions: Linear Equations in Two Variables 5 pages | |
| Long Answer Type Questions: Linear Equations in Two Variables 5 pages | |
| Chapter Notes: Linear Equations in Two Variables 9 pages | |
| PPT: Linear Equations in Two Variables 14 pages | |
| Short Answer Type Questions: Linear Equations in Two Variables 3 pages | |
| HOTS Questions: Linear Equations in Two Variables 2 pages | |
| Worksheet: Linear Equations in Two Variables 4 pages | |
| Introduction: Linear Equation in Two Variables 6 pages | |
| Graph of Linear Equations in Two Variables 6 pages | |
| Important Formulas: Linear Equations in Two Variables 1 page | |
Functions
| Important Formulas: Functions With Examples 3 pages | |
| Venn Diagrams & Operations on Sets 7 pages | |
| Relations & Its Types 10 pages | |
| Composition of Functions 6 pages | |
| Introduction: Relations & Functions 8 pages | |
| Real Valued Functions 12 pages | |
| Algebra of Real Functions & Binary Operations 6 pages | |
| Cartesian Product of Two Sets 4 pages | |
| Solved Examples: Union & Intersection of Sets 7 pages | |
| Classification of Functions 9 pages | |
| Periodic & Inverse Function 7 pages | |
| Important Formulas: Functions Formulas 12 pages | |
Trigonometric Functions
| Important Formulas & Examples: Trigonometric Functions - 1 7 pages | |
| Trigonometric Ratios & Identities 11 pages | |
| Important Formulas & Examples: Trigonometric Functions - 2 4 pages | |
| Trigonometric Equations 12 pages | |
| Trigonometric Ratios & Identities- 2 6 pages | |
| Basic Trigonometric Functions and Identities 18 pages | |
| Solution of Triangles 36 pages | |
Exponents
| Important Questions: Exponents and Powers 1 page | |
| Points to Remember- Exponents and Powers 5 pages | |
| Important Formulas: Exponents & Powers 2 pages | |
| PPT: Exponents & Powers 11 pages | |
Rational & Irrational Numbers
| Important Definitions & Formulas: Real Numbers 4 pages | |
| Short Answer Questions: Real Numbers - 1 6 pages | |
| Chapter Notes: Real Numbers 5 pages | |
| Short Answer Questions: Real Numbers - 2 13 pages | |
| PPT: Real Numbers 14 pages | |
| Introduction: Real Numbers 2 pages | |
| Fundamental Theorem of Arithmetic, HCF & LCM 10 pages | |
| Index: Real Numbers 1 page | |
| HOTS & Value Based Questions: Real Numbers 4 pages | |
| Worksheet: Real Numbers 1 page | |
| Assertions & Reason Type Questions: Real Numbers 6 pages | |
| Euclid’s Division Algorithm 2 pages | |
| Irrational Numbers & Decimal Expansions of Real Numbers 12 pages | |
| Very Short Answer Type Questions: Real Numbers 4 pages | |
Complex Numbers
| Basics of Quadratic Equations 5 pages | |
| Introduction to Complex Number 9 pages | |
| Algebra of Complex Numbers 4 pages | |
| Conjugate, Modulus & Argument - Properties and Examples 3 pages | |
| Modulus & Conjugate of a Complex Number 4 pages | |
| Argand Plane & Polar Representation 4 pages | |
| Representation of a Complex Number 5 pages | |
| Examples: Quadratic Equations 31 pages | |
| Important Formulas: Complex Numbers & Quadratic Equations 14 pages | |
Vectors
| Introduction to Vectors 8 pages | |
| Addition and Multiplication of a Vector by a Scalar 1 page | |
| Important Formulas: Section Formula & Scalar Product of Two Vectors 4 pages | |
| Product of Vectors 5 pages | |
| Product of Four Vectors 1 page | |
| Important Formulas: Vector 10 pages | |
Matrices
| Overview: Matrices 9 pages | |
| Matrix Operations 9 pages | |
| System of Linear Equations 6 pages | |
| Adjoint and Inverse of a Matrix 4 pages | |
| Operations of Matrix 11 pages | |
| Types of Matrices 8 pages | |
| Transpose and Inverse of a Matrix 5 pages | |
| Important Formulae: Matrices 6 pages | |
Limits
| Introduction to Limits 3 pages | |
| Limits of Trigonometric Functions 3 pages | |
| Limits of Exponential Functions 8 pages | |
| Methods of Evaluating Limits 1 page | |
| Derivatives of a Function 2 pages | |
| Important Formulas: Limits & Derivatives 5 pages | |
Differentiation
| Tangent and Normal 17 pages | |
| Notes: Applications of Derivatives 87 pages | |
| Differentiability of a Function and Rate of Change 9 pages | |
| Tangents at the Origin 12 pages | |
| Calculus and Approximation 3 pages | |
| Maxima and Minima of a Function 26 pages | |
| Relation Between Continuity & Differentiability 3 pages | |
| Classification of Discontinuity 2 pages | |
| Increasing and Decreasing Functions & Monotonicity 36 pages | |
| Exponential & Logarithmic Functions 3 pages | |
| Important Formulas: Application of Derivatives Formulas 12 pages | |
| Derivatives of a function in Parametric Form & Second Order Derivative 4 pages | |
| Second Order Derivative 2 pages | |
| Mean Value Theorem 1 page | |
| Important Formulas: Limit and Continuity & Differentiability of Function 9 pages | |
Integration
| Introduction to Integrals 4 pages | |
| Definite Integration and Its Properties 5 pages | |
| Integrals of Some Functions 15 pages | |
| Integration by Substitution & Trigonometric Identities 3 pages | |
| Definite Integral As Limit Of A Sum And Estimate Of Definite Integrals 6 pages | |
| Integration of Irrational Functions 2 pages | |
| Integration by Partial Fractions 8 pages | |
| Integration by Parts 1 page | |
| Important Formulas: Integration by Reduction Formula 4 pages | |
| Euler's Substitutions 1 page | |
Surface Area & Volumes
| Important Formulas: Surface Areas & Volumes 1 page | |
| Short Answer Type Questions: Surface Areas & Volumes 4 pages | |
| HOTS Questions: Surface Areas & Volumes 3 pages | |
| PPT: Surface Area & Volumes 26 pages | |
| Surface Area & Volume of Sphere 3 pages | |
| Surface Area & Volume of Cube & Cuboid 10 pages | |
| Very Short Answer Type Questions: Surface Areas & Volumes 1 page | |
| Value-Based Questions: Surface Areas & Volumes 9 pages | |
| Surface Area & Volume of Right Circular Cylinder 8 pages | |
| Surface Area & Volume of Right Circular Cone 5 pages | |
| Chapter Notes: Surface Area & Volumes 8 pages | |
| Important Formulas: Surface Area & Volumes 1 page | |
Geometric Theorems
| Short Answer Type Questions: Lines & Angles 3 pages | |
| HOTS Questions: Lines & Angles 5 pages | |
| Chapter Notes: Lines & Angles 21 pages | |
| Short Answer Type Questions: Circles 4 pages | |
| Facts that Matter: Circles 2 pages | |
| Long Answer Type Questions: Circles 1 page | |
| Chapter Notes: Circles 8 pages | |
| Value-Based Questions: Lines & Angles 3 pages | |
| Practice Questions: Circles 7 pages | |
| Very Short Answer Type Questions: Circles 3 pages | |
| Value-Based Questions: Circles 1 page | |
| Important Formulas: Circles 1 page | |
| Very Short Answer Type Questions: Lines & Angles 1 page | |
| Circle & its Related Terms 7 pages | |
| Facts that Matter: Lines & Angles 3 pages | |
| Long Answer Type Questions: Lines & Angles 2 pages | |
| Angle Sum Property of a Triangle & Exterior Angle Property 1 page | |
| Introduction: Lines & Angles 2 pages | |
| Important Formulas: Lines & Angles 1 page | |
| Parallel Lines & a Transversal 6 pages | |
| PPT: Lines & Angles 10 pages | |
Similarity Theorems
| Important Definitions & Formulas: Triangles 2 pages | |
| Chapter Notes: Triangles 6 pages | |
| Short Answer Questions: Triangles 13 pages | |
| Facts that Matter: Triangles 2 pages | |
| Additional Question Answers: Triangles 6 pages | |
| Long Answer Questions: Triangles 7 pages | |
Trigonometric Ratios & Triangles
| Important Formulas & Examples: Trigonometric Functions - 1 7 pages | |
| Trigonometric Ratios & Identities 11 pages | |
| Trigonometric Equations 12 pages | |
| Trigonometric Ratios & Identities- 2 6 pages | |
| Basic Trigonometric Functions and Identities 18 pages | |
| Solution of Triangles 36 pages | |
Circles
| Circle: Theorems and Equation 31 pages | |
| Overview: Conic Sections 6 pages | |
| Important Formulas: Conic Section (Circle, Parabola, Ellipse, Hyperbola) 11 pages | |
Conics
| Overview: Conic Sections 6 pages | |
| Coordinate Geometry 5 pages | |
| Basics of Straight Lines 4 pages | |
| Angle Between Two lines 4 pages | |
| Various Forms of the Equation of Line 5 pages | |
| Important Formulas: Conic Section (Circle, Parabola, Ellipse, Hyperbola) 11 pages | |
| The distance of Point From a Line 3 pages | |
| Point Slope Form and Two Point Form 5 pages | |
| Distance of a Point from a Line and Distance between two Parallel Lines 12 pages | |
| Important Formulas: Straight Lines & Pair of Straight Lines 10 pages | |
Statistics
| Introduction: Statistics 8 pages | |
| Measure of Dispersion - Statistics 3 pages | |
| Median, Quartiles and Mode 3 pages | |
| Measures of Central Tendency 1 page | |
| Important Formulas: Statistics 3 pages | |
Probability
| Conditional Probability and its Properties 2 pages | |
| Probability: Introduction and Definition 8 pages | |
| Independent Events and Their Important Properties 2 pages | |
| Doc: Events and Its Types- Probability 2 pages | |
| Axiomatic Probability 6 pages | |
| Probability Distribution of a Random Variable 6 pages | |
| Types of Probability 11 pages | |
| Binomial Distribution 4 pages | |
| Important Formulas: Probability 5 pages | |
