Grade 7
Powers and scientific notation
Dynamic tasks on powers, exponent rules, order of operations, negative exponents and scientific notation. Includes comparison and mathematical-language comprehension.
Tests by topic
Powers, roots and logarithms
These tests help build a secure understanding of each topic and its solution methods. Choose a test for your school level and work at your own pace.
Tests by topic
Tests for this topic
Grade 8
Square and cube roots
Dynamic tasks on exact and approximate square and cube roots, comparison and simplification.
Grade 11
Roots and rational exponents
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.
Grade 11
Logarithms and their properties
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.
Grade 11
Exponential equations and models
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.
Grade 11
Logarithmic equations
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.
Grade 11
Rational, exponential and logarithmic inequalities
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.