Mathematics Reviewer for UPCAT

Every Mathematics topic on the UPCAT, organized into a single trackable checklist — with 57+ practice questions and an AI tutor that explains what you get wrong.

Algebra

  • Algebraic Expressions
  • Coordinate System
  • Equation of a Line
  • Functions
  • Laws of Exponents
  • Linear Equations
  • Logarithms
  • Parallel and Perpendicular Lines
  • Polynomials
  • Quadratic Equations
  • Radical Expressions
  • Rational Expressions and Exponents
  • Sequence and Series
  • Solving Worded Problems
  • Special Products and Factoring

Arithmetic and Sets

  • Cardinality
  • Divisibility Rules
  • Factors and Multiples
  • Fractions and Decimals
  • Operations on Fractions and Decimals
  • Operations on Integers
  • Operations on Sets
  • Order of Operations
  • Percentage
  • Ratio and Proportion
  • Real Numbers and Imaginary Numbers
  • Sets

Calculus

  • Limits
  • Basic Differentiation
  • Basic Integration

Geometry

  • Angles
  • Building Blocks of Geometry
  • Circles
  • Congruence and Similarity of Triangles
  • Conversion of Units of Measurement
  • Introduction to Geometry
  • Perimeter and Area of Plane Figures
  • Polygons and Quadrilaterals
  • Triangles
  • Volume and Surface Area of Solid Figures

Inequalities

  • Linear Inequalities
  • Polynomial Inequalities
  • Rational and Absolute Value Inequalities

Logic

  • Propositional Logic
  • Truth Tables and Logical Equivalences

Statistics

  • Conditional Probability
  • Factorials, Permutations, and Combinations
  • Graph Analysis
  • Measures of Central Tendency
  • Probability
  • The Fundamental Principle of Counting

Trigonometry

  • Cosine and Sine Laws
  • Degree and Radian Measure of Angles
  • Six Trigonometric Functions
  • Special Angles
  • Trigonometric Identities
  • Unit Circle