Direct proportion
Solve direct-proportion problems using y = kx, tables, graphs, prices and other practical situations.
Tests by topic
Functions and graphs
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
Linear relationships and graphs
Dynamic tasks on y = kx + b values, coefficients, points, graph properties and practical tariff models.
Functions: domain and range
This test develops understanding of function inputs, outputs, domain and range. Students also find zeros, determine intervals where a function is positive or negative and interpret information given by formulas or graphs.
The linear function y = kx + b
Dynamic line equations, slopes, parallelism, intersections, graphs and practical linear models.
Quadratic functions and parabolas
Dynamic parabola direction, vertex, axis, zeros, intercepts, graphs and coefficient effects.
Parabola and the graph of a quadratic function
Eight questions on a parabola’s vertex, axis of symmetry, zeros, intersections, extrema, transformations and a motion model.
Function properties and transformations
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.
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.
Function analysis using derivatives
This test uses the first derivative to analyse a function. Tasks include finding critical points, intervals of increase and decrease, local extrema and absolute maximum or minimum values.
Correlation and linear model
This test evaluates relationships between two variables using correlation and a linear model. Students interpret the correlation coefficient and R², calculate predictions and residuals and assess model suitability and the limits of causal conclusions.