100+ Free ORELA Mathematics (NT304) Practice Questions

Mathematical Processes and Number Sense

Problem-solving strategies, estimation, operations with integers, fractions, decimals, and percents; ratios, proportions, average rates of change; mathematical communication and representations; inductive and deductive reasoning; logic; historical development of mathematics; real-number structure; complex-number operations; and basic number theory.

Patterns, Algebra, and Functions

Relations and functions, function composition and inverses, analysis of function characteristics and representations, linear, quadratic, and higher-order polynomial equations and graphs, systems, exponential and logarithmic functions, and rational, radical, absolute value, and piecewise-defined functions.

Measurement and Geometry

Customary and metric units, unit conversions, similarity, scale factors, proportional reasoning in measurement, precision and error, perimeter, circumference, area, surface area, volume, Euclidean and non-Euclidean axioms, polygon and circle properties, Pythagorean theorem, proof, nets, cross sections, coordinate geometry, conic sections, transformations, and symmetries.

Trigonometry and Calculus

Trigonometric functions for distance and angle problems, unit-circle values, trigonometric identities and equations, periodic models and graphs, limits, continuity, derivatives as slopes and difference quotients, derivative rules, graph analysis, rates of change, optimization, integrals, Riemann sums, area under a curve, and applied integration.

Statistics, Probability, and Discrete Mathematics

Data organization and displays, central tendency and variability, bias and sampling techniques, simple, compound, and conditional probability, counting principles, graphical probability models, uniform, binomial, and normal distributions, permutations and combinations, sequences and series, recursive definitions, matrix and vector operations, and set theory.