Two questions testing the application of the Sine Rule when given two angles and a side. In this question, the triangle is always acute.

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Solve: $\displaystyle \frac{d^2y}{dx^2}+2a\frac{dy}{dx}+a^2y=0,\;y(0)=c$ and $y(1)=d$.  (Equal roots example).

Two questions testing the application of the Sine Rule when given two sides and an angle. In this question, the triangle is always acute and one of the given side lengths is opposite the given angle.

Display a number as a mixed fraction when appropriate, using the mixedFractions display option.

A question to test basic differentiation of functions, including powers of x, trig, log and exponential functions.

Some quadratics are to be solved by factorising

A quadratic equation (equivalent to $(x+a)^2-b$) is given and sketched. Three equations are given that can be solved using the graph. There is a chance there will only be one solution.

A few quadratic equations are given, to be solved by completing the square. The number of solutions is randomised.

The function randexp, provided by an extension, generates a random string matching the given regular expression.

Update: you can now use the conditional visibility button to do this more easily - see the documentation.

If the statement or advice for your question differs greatly depending on a random variable (for instance, if you're picking from a selection of scenarios), you only want to show content for the relevant scenario.

This question shows one way of doing that.

This question is out of date: use the currency function instead.

Display a number like "1234" as "1,234".

This question is out of date: the formatnumber function can format numbers using several different notational styles.

Use the numbro.js extension to format numbers and currencies.

Given two complex numbers, find by inspection the one that is a root of a given quartic real polynomial and hence find the other roots. 

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Finding the lengths and angles within a right-angled triangle using: pythagoras theorem, SOHCAHTOA and principle of angles adding up to 180 degrees.

This question provides practice at differentiating polynomials.

Two questions testing the application of the Cosine Rule when given two sides and an angle. In these questions, the triangle is always acute and both of the given side lengths are adjacent to the given angle.

A question testing the application of the Cosine Rule when given three side lengths. In this question, the triangle is always acute. A secondary application is finding the area of a triangle.

Introductory exercise about power sets.

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A quadratic function is given. The graph of the function is drawn with three coordinates on the graph, without any x or y ticks.  The $x$ coordinate is given for a couple and $y$ coordinate given for the third, and coordinates are asked for.

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

Practice with adding, subtracting and dividing basic algebraic fractions

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Four sinusoidal graphs are given. Student should select the one which is sine and cosine.

Multiply two numbers in standard form, then divide two numbers in standard form.