DSE Math Formulas

U1 Directed Numbers: Essential Formulas

Directed numbers are numbers with a sign (positive or negative) that indicates direct...

U2 Introduction to Algebra: Essential Formulas

This section covers the fundamental concepts and formulas for algebraic manipulation,...

U3 Linear Equations in One Unknown: Essential Formulas

A linear equation in one unknown is an equation that can be written in the standard f...

U4 Percentages (I) Essential Formulas

This section covers the fundamental concepts of percentages, including percentage cha...

U5 Estimation and Error: Essential Formulas

This topic covers the concepts of approximation, significant figures, rounding, and t...

U6 Introduction to Geometry: Essential Formulas

This section covers fundamental geometric concepts, including properties of angles, t...

U7 Area and Volume (I) Essential Formulas

This section covers the fundamental formulas for calculating the area of plane figure...

U8 Ratio and Proportion: Essential Formulas

This section covers the fundamental concepts of ratio, proportion, and variation, whi...

U9 Symmetry and Transformation: Essential Formulas

This section covers the key concepts and formulas for symmetry and geometric transfor...

U10 Introduction to Rectangular Coordinates: Essential Formulas

This topic introduces the fundamental concepts of the rectangular coordinate system, ...

U11 Statistical Charts (I) - Essential Formulas

This section covers the fundamental concepts and formulas for representing and interp...

U12 Laws of Integral Indices (I) Essential Formulas

This section covers the fundamental laws for manipulating expressions with integral i...

U13 Identities and Factorization: Essential Formulas

This section covers the fundamental identities used for expansion and factorization, ...

U14 Linear Equations in Two Unknowns: Essential Formulas

A system of linear equations in two unknowns involves finding the values of $x$ and $...

U15 Angles in Polygons: Essential Formulas

This section covers the key formulas and theorems related to interior and exterior an...

U16 Pythagoras' Theorem Essential Formulas

A fundamental theorem in geometry that describes the relationship between the three s...

U17 Trigonometric Ratios (I) - Essential Formulas

This section covers the fundamental definitions of the three primary trigonometric ra...

U18 Congruence and Similarity: Essential Formulas

This section covers the fundamental conditions and properties for congruent and simil...

U19 Measures of Central Tendency (I) - Essential Formulas

This section covers the fundamental measures of central tendency: mean, median, and m...

U20 Area and Volume (II) Essential Formulas

This section covers advanced concepts in mensuration, focusing on the surface area an...

U21 Factorization (Advanced) Essential Formulas

This section covers advanced factorization techniques beyond the basics, crucial for ...

U22 Change of Subject in Formulae: Essential Formulas

This topic focuses on rearranging a given formula to make a specific variable the sub...

U23 Linear Inequalities in One Unknown: Essential Formulas

This section covers the fundamental concepts and rules for solving and manipulating l...

U24 Laws of Indices (II) Essential Formulas

This section extends the fundamental laws of indices to cover rational exponents, neg...

U25 Coordinate Geometry (Advanced) Essential Formulas

This section covers advanced topics in coordinate geometry, including the distance fo...

U26 Applications of Trigonometry: Essential Formulas

This section covers the application of trigonometric ratios and formulas to solve pra...

U27 Area and Volume (III) Essential Formulas

This topic extends the concepts of area and volume to more complex 3D solids, focusin...

U28 Introduction to Probability: Essential Formulas

This section covers the fundamental concepts and formulas for probability, including ...

U29 Geometric Proofs and Quadrilaterals: Essential Formulas

This section covers the key properties, theorems, and proof techniques related to qua...

U30 Uses and Abuses of Statistics: Essential Formulas

This topic examines how statistical information can be presented in a misleading way,...

U32 Quadratic Functions and Graphs: Essential Formulas

A quadratic function is a polynomial function of degree 2, generally expressed as $y ...

U33 Polynomials: Essential Formulas

This section covers the fundamental definitions, operations, and theorems related to ...

U34 Complex Numbers: Essential Formulas

This section covers the fundamental concepts and formulas for complex numbers, includ...

U35 Exponential and Logarithmic Functions: Essential Formulas

This section covers the fundamental definitions, laws, and properties of exponential ...

U36 Variations: Essential Formulas

This section covers the fundamental concepts of variation, including direct, inverse,...

U37 Basic Properties of Circles - Essential Formulas

This section covers the fundamental geometric properties of circles, including relati...

U38 More about Equations: Essential Formulas

This section covers advanced techniques for solving equations beyond the quadratic fo...

U39 Arithmetic and Geometric Sequences: Essential Formulas

This section covers the fundamental definitions, formulas, and properties of arithmet...

U40 Locus and Equation of Circle - Essential Formulas

This topic covers the concept of locus and the standard forms of the equation of a ci...

U41 Graphs and Properties of Trig Functions: Essential Formulas

This section covers the fundamental graphs of sine, cosine, and tangent functions, al...

U42 Applications of Trigonometry (3D) - Essential Formulas

This section covers the application of trigonometric ratios (sine, cosine, tangent) a...

U43 Permutation and Combination (P&C) Essential Formulas

This section covers the fundamental concepts of counting, including the Multiplicatio...

U44 More about Probability: Essential Formulas

This section covers advanced probability concepts for DSE Mathematics, including cond...

U45 Linear Programming (LP) Essential Formulas

Linear programming is a method to achieve the best outcome (such as maximum profit or...

U46 Measures of Dispersion: Essential Formulas

This section covers key formulas and concepts for measuring the spread or variability...

U47 The Four Centers of a Triangle: Essential Formulas

This section covers the definitions, properties, and coordinate formulas for the four...