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Mathematics Notes Form 3 (15)

This category contains Mathematics Form 3 notes as aggregated from the various high school approved text books, including KLB,etc. It covers the entire Mathematics Form 3 syllabus, for the preparation of national and local exams.

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Quadratic Expressions and Equations - Mathematics Form 3 Notes

Perfect Square | Completing the Square | Solutions of Quadratic Equations by Completing the Square Methods | The Quadratic Formula | Formation of Quadratic Equations | Graphs of Quadratic Functions | Graphical Solutions of Simultaneous Equations | Past KCSE Questions on the Topic.

Approximation and Errors - Mathematics Form 3 Notes

Approximation | Rounding Off | Truncating | Accuracy and Error | Absolute Error | Relative Error | Percentage Error | Rounding Off Error | Truncating Error | Propagation of Errors | Past KCSE Questions on the Topic

Trigonometry II - Mathematics Form 3 Notes

The Unit Circle | Trigonometric Ratios of Negative Angles | Use of Calculators | Radians | Simple Trigonometric Graphs | Graphs of y=sin x Graphs of y=cosx | Graph of Tangents | Solution of Triangles | Sine Rule | Cosine Rule | Past KCSE Questions on the Topic

Surds - Mathematics Form 3 Notes

Rational and Irrational Numbers | Rational Numbers | Irrational Numbers | Surds | Order of surds | Simplification of Surds | Operation of Surds | Multiplication and Division of Surds | Rationalization of Surds | Past KCSE Questions on the Topic.

Further Logarithms - Mathematics Form 3 Notes

Laws of Logarithms | Product and Quotient Laws of Logarithms | The Power Law of Logarithms | Logarithm of a Root | Proof of Properties | Solving Exponential and Logarithmic Equations | Solving Equations Using Logs | Logarithmic Equations and Expressions | Past KCSE Questions on the Topic

Commercial Arithmetic II - Mathematics Form 3 Notes

Simple Interest | Types of Question | Types of Question | Appreciation and Depreciation | Hire Purchase | Income Tax | Relief | PAYE | Housing | Past KCSE Questions on the Topic.

Circles, Chords and Tangents - Mathematics Form 3 Notes

Length of an Arc | Chords | Perpendicular Bisector of a Chord | Parallel Chords | Intersecting Chords | Equal Chords | Secant | Tangent and Secant | Construction of a Tangent | Properties of Tangents to a Circle from an External Point | Two Tangents to a Circle | Tangent Problem | How to construct a Common Exterior Tangent Line to Two Circles | Contact of circles | Transverse (Interior) Common Tangents | Alternate Segment Theorem | Tangent–secant Segment | Length Theorem | Circles and Triangles | Inscribed Circle | Circumscribed Circle | Escribed Circle | Past KCSE Questions on the Topic

Matrices - Mathematics Form 3 Notes

Order of Matrix | Elements of Matrix | Addition and Subtraction of Matrices | Matrix Multiplication | Identity Matrix | Determinant Matrix | Inverse of a Matrix | Solutions of Simultaneous Linear Equations using Matrix Method | Past KCSE Questions on the Topic

Formulae and Variation - Mathematics Form 3 Notes

Formulae | Changing the Subject of a Formulae | Variation | Direct or Proportional Variation | Inverse or Indirect Variation | Joint Variation and Combined Variation | Partial Variation | Past KCSE Questions on the topic.

Sequences and Series - Mathematics Form 3 Notes

Arithmetic Sequence | Arithmetic Series/Arithmetic Progression (A.P) | Geometric Sequence | Geometric Series/Geometric Progression (G.P) | Past KCSE Questions on the Topic.

Binomial Expansion - Mathematics Form 3 Notes

Pascal's Triangle | Applications to Numeric Cases | Past KCSE Questions on the Topic.

Compound Proportions and Rates of Work - Mathematics Form 3 Notes

Compound Proportions | Continued Proportions | Proportional Parts | Rates of Work and Mixtures | Past KCSE Questions on the Topic

Graphical Methods - Mathematics Form 3 Notes

Graphing Solutions of Cubic Equations | Average Rate of Change | Defining the Average Rate of Change | Rate of Change at an Instant | Empirical Graphs | Reduction of Non-linear Laws to Linear Form | Equation of a Circle | Past KCSE Questions on the Topic.

Probability - Mathematics Form 3 Notes

Experimental Probability | Range of Probability Measure | Probability Space | Theoretical Probability | Types of Probability | Combined Events | Mutually Exclusive Events | Independent Events | Tree Diagram | Past KCSE Questions on the Topic.

Vectors II - Mathematics Form 3 Notes

Vectors in 3 Dimensions | Column and Position Vectors | Column Vectors in Terms of Unit Vectors | Magnitude of a 3 Dimensional Vector | Distance Formula for a 3 Dimensional Vector | Parallel Vectors and Collinearity | Parallel Vectors | Multiplying by a Scalar | Collinear Points | Proportional Division of a Line | Internal Division | External Division | Points, Ratios and Lines | The Ratio Theorem | Past KCSE Questions on the Topic

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