Some simple multiple choice questions on the field of complex numbers.

This question tests the students ability to factorise simple quadratic equations (where the coefficient of the x^2 term is 1) and use the factorised equation to solve the equation when it is equal to 0.

This question tests the students ability to factorise simple quadratic equations (where the coefficient of the x^2 term is 1) and use the factorised equation to solve the equation when it is equal to 0.

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. 

This question tests the students ability to factorise simple quadratic equations (where the coefficient of the x^2 term is 1) and use the factorised equation to solve the equation when it is equal to 0.

This question tests the students ability to factorise simple quadratic equations (where the coefficient of the x^2 term is 1) and use the factorised equation to solve the equation when it is equal to 0.

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 simple ideal gas law question, using number of molecules, that asks the student to calculate one of the four variables. he question can ask for either L atm, or kPa m3, and either K or C for temp. As such the boltzmann constant is in either J/K or L atm/K.

Simple counting exercise, with combinations

Simple direct computations in $\mathbb Z/n$.

Some simple questions around injectivity, surjectivity, bijectivity (and the inverse function) of linear functions $\mathbb R\to \mathbb R$ (i.e., $x\mapsto mx+b$ for some real numbers $m$, $b$).

Some simple abstract questions on injectivity, surjectivity, bijectivity.

Simple exercises introducing the fundamental set operations, and NUMBAS syntax for sets.

Solve exponential equation of the form \[ a^{kx}=a^{m}. \]

Simple exercises introducing the fundamental set operations, and NUMBAS syntax for sets.

Simple questions on square numbers, square roots, cube number, cube roots and prime numbers.

Simple inequalities - finding values of x

A simple situational question about a box of chocolates, asking how many of each type there are, what percentage of the box they represent, the probability of picking one and ratios of different types.

This question is a simple example to show how to input value from numbas to geogebra applet, and get a value back from geogebra to numbas for marking.

This is a very simple question with no randomisation.

Students are asked to identify an inverse relationship equation.

Deciding whether or not  three sampling methods are simple random sampling, stratified sampling, systematic or judgemental sampling. Also whether or not the method of selection is random, quasi-random or non-random.

Simple exercises introducing the fundamental set operations, and NUMBAS syntax for sets.

Simple exercises introducing the fundamental set operations, and NUMBAS syntax for sets.

Standard simple integrals asked for (1/x, sin(x), cos(x), x^2, x, e^x)