Apply the quadratic formula to find the roots of a given equation. The quadratic formula is given in the steps if the student requires it.

Using Pythagoras' theorem to determine a non-hypotenuse side, where side lengths include surds and students enter using sqrt syntax

This exercise will help you rearrange a linear equation to find the value of a given variable

Practice with adding, subtracting and dividing basic algebraic fractions

Solving quadratic equations using a formula,

Factorising basic quadratics into linear expressions

11 questions that test trig equations including use of identities and those needing stretches and translations. Also some questions related to trig graph shapes and applications.

given trig function applied to tides. students need to find max depth, time of low tide and times between which a boat of given depth can use the port.

given trig equation. find period, amplitude and phase shift

given plot of a graph. find amplitude, period and phase shift

trig equation that uses cos2x=c^2-s^s

solve trig equation that requires use of s^s+c^2=1. with worked solutions.

solve trig equation involving sin2x=2sinxcosx in a given interval

solve trig equation involving a translation in given internval. with worked solutions

Solve trig equation in a given internval with stretch and worked solutions

Solving cosx in given interval. With random variation and worked solutions.

Solving sinx in given interval. With random variation and worked solutions.

Solving tanx in given interval. With random variation and worked solutions.

No description given

Add, subtract, multiply and divide algebraic fractions.

Simple multiplication of complex conjugates. Complex numbers are of the form $a+bi$ where $a$ and $b$ are randomised between 1 and 9 inclusive. 

A couple of different ways of showing the correct answer to a single part as soon as the student submits an answer. One way allows the student to change their answer, while the other locks the part.

A third part includes a "reveal answers to this part" button, which allows the student to choose to reveal the answer to the part.

Think very carefully before using this: by revealing the answer, you are removing the opportunity for the student to later on realise they've got that step wrong, as a consequence of some further work. It's often possible to use adaptive marking to use the student's answer in place of the correct answer in later parts.

Solve for $x$: $\displaystyle ax ^ 2 + bx + c=0$.

Entering the correct roots in any order is marked as correct. However, entering one correct and the other incorrect gives feedback stating that both are incorrect.

Simplifying indices.

Practice with adding, subtracting and dividing basic algebraic fractions

Factorising further basic quadratics into linear expressions

Use the BODMAS rule to determine the order in which to evaluate some arithmetic expressions. 

Use the BODMAS rule to determine the order in which to evaluate some arithmetic expressions. 

Use the BODMAS rule to determine the order in which to evaluate some arithmetic expressions. 

Use the BODMAS rule to determine the order in which to evaluate some arithmetic expressions.