This question provides practice at adding, subtracting, dividing and multiplying complex numbers in rectangular form.

Using a given list of four complex numbers, find by inspection the one that is a root of a given cubic real polynomial and hence find the other roots.

Find modulus and argument of the complex number $z_1$ and find the $n$th roots of $z_1$ where $n=5,\;6$ or $7$.

Find modulus and argument of two complex numbers. Then use De Moivre's Theorem to find negative powers of the complex numbers.

Find modulus and argument of two complex numbers. Then use De Moivre's Theorem to find positive powers of the complex numbers.

Calculating complex numbers raised to an natural number exponent

Finding the modulus and argument (in radians) of four complex numbers; the arguments between $-\pi$ and $\pi$ and careful with quadrants!

Direct calculation of low positive and negative powers of complex numbers. Calculations involving a complex conjugate. Powers of $i$. Four parts.

Composite multiplication and division of complex numbers. Two parts.

Inverse and division of complex numbers.  Four parts.

This question provides practice at adding, subtracting, dividing and multiplying complex numbers in rectangular form.

Multiplication and addition of complex numbers. Four parts.

Elementary examples of multiplication and addition of complex numbers. Four parts.

Apply and combine logarithm laws in a given equation to find the value of $x$.

The easiest type of exponential to graph where the base is greater than 1 and no transformations take place.

Multiple choice question. Given a randomised polynomial select the possibe ways of writing the domain of the function.

testing sin, cos, tan of  random(0,90,120,135,150,180,210,225,240,270,300,315,330) degrees but in radians

testing sin, cos, tan of angles that are negative or greater than 2pi radians that result in nice exact values. 

Multiple choice questions. Given randomised trig functions select the possible ways of writing the domain of the function.

Multiple choice questions. Given randomised trig functions select the possible ways of writing the domain of the function.

A graph of an (invertible) cubic is given. The question is to determine values of $f$ from graph.

Calculating gradients

A random graph is drawn and students are asked whether it represents a function or not.

Given an equation or a worded formula determine if it is a function or not

A quadratic function $ax^2+bs+c$ is given. Six parabolas are sketched. Question is to select the correct parabola.  Need to consider the y-intercept, the coefficient of x^2, and the x-coordinate of the minimum/maximum point.

This question is to test if you know how to use your calculator correctly.

Manipulation of algebraic fractions

This uses an embedded Geogebra graph of a cubic polynomial with random coefficients set by NUMBAS.  Student has to decide what kind of map it represents and whether an inverse function exists.

Given a graph of some line or curve - the student is asked about the nature of the map and whether it constitutes a function.

No description given