Grade 11 Mathematics Practice

This test covers union, intersection and difference of sets and their representation with Venn diagrams. Absolute-value tasks develop interpretation as distance on a number line, equation solving and reasoning about real numbers.

This test focuses on nth roots and powers with rational exponents. Students apply exponent laws, determine conditions under which expressions are defined and rationalise denominators.

This test develops understanding of the definition of a logarithm and its relationship with exponents. Tasks apply product, quotient and power properties, transform expressions and check domain restrictions.

This test explores angles of any magnitude and direction and their representation on the unit circle. Tasks cover coterminal-angle reduction, periodicity and the use of inverse trigonometric functions.

This test develops recognition of arithmetic and geometric progressions and use of general-term formulas. Tasks include finding the common difference or ratio, determining missing terms and calculating sums of initial terms.

This test develops understanding of even and odd functions and common graph transformations. Students identify shifts, reflections and scaling and construct a new function formula from a given transformation.

This test covers graphs, periods, ranges and signs of sine, cosine and tangent functions. Tasks also develop solution of elementary trigonometric equations and selection of solutions within a stated interval.

This test focuses on cubic, biquadratic and other higher-degree equations. Students factor expressions, use substitution and verify which candidate values satisfy the original equation.

This test develops methods for equations containing square and cube roots. Tasks require students to determine the domain, raise both sides to a power and check for extraneous solutions introduced during transformation.

This test covers exponential equations and their use in growth and decay models. Students rewrite expressions with a common base, solve equations and interpret percentage, compound and periodic change.

This test focuses on solving several types of logarithmic equations. Tasks apply logarithm properties and the fundamental identity, establish domain restrictions and reject invalid solutions.

This test develops methods for rational, exponential and logarithmic inequalities. Students use the interval method, account for monotonicity of exponential or logarithmic functions and enforce all domain restrictions.