Linear combinations of $2 \times 2$ matrices. Three examples.

Apply the factor theorem to check which of a list of linear polynomials are factors of another polynomial.

Factorising polynomials using the highest common factor

Inverse and division of complex numbers.  Four parts.

This question tests the student's ability to solve simple linear equations by elimination. Part a) involves only having to manipulate one equation in order to solve, and part b) involves having to manipulate both equations in order to solve. 

A graph is drawn. A student is to identify the derivative of this graph from four other graphs.

Version I. Graph is cubic

Version II. Graph is linear

Version III. Graph is quadratic

Version IV. Graph is sinusoidal

Shows how to define variables to stop degenerate examples.

Shows how to define variables to stop degenerate examples.

Shows how to define variables to stop degenerate examples.

Shows how to define variables to stop degenerate examples.

Questions asking you to find the equation of a line between two points, in Cartesian coordinates.

Looking at gradients and values for x and y for straight-line graphs

Solve a system of three simultaneous linear equations

Solving a Linear and a Non-linear system of equations

Solving two simultaneous linear equations

set up x- and y axises.

set linear equations and solve the simulatenous equations.

Questions on vector arithmetic and vector operations, including dot and cross product, as well as the vector equations of planes and lines.

Displacement-time graphs are given and the student should select the correct velocity-time graphs from a list. Includes linear, piecewise linear and quadratic displacement-time functions.

Factorising polynomials using the highest common factor

Solve a pair of linear equations by writing an equivalent matrix equation.

Solve $p - t < \text{or}> q$

Deicde whether each of the described sets of data is drawn from a discrete or continuous distribution.

Manipulation of algebraic fractions

Inverse and division of complex numbers.  Four parts.

Inverse and division of complex numbers.  Four parts.

Multiple response question (4 correct out of 8) covering properties of convergent and divergent sequences and boundedness of sets. Selection of questions from a pool.

Test de ecuaciones: Lineales, cuadráticas, exponenciales y logarítmicas.

Linear combinations of $2 \times 2$ matrices. Three examples.

Test whether a student knows the divergence test of a series, and how to use it. Series include those that the diverence test is inconclusive for. This question could be better in that it could go through the working of determining the limit but I hope to make a separate question which deals with that.

There are copious comments in the definition of the function eqnline about the voodoo needed to have a JSXGraph diagram interact with the input box for a part.