Students are given 4 parabola equations and their respective graphs and asked to match them.

Students are given equations for a line, a parabola, a hyperbola and an exponential, and their respective graphs and are asked to match them.

Students are given 4 equations for hyperbolas and 4 graphs and asked to match them.

The student is shown an exponential graph and asked to evaluate the function at some given value.

They are also asked whether or not the model is valid for all real inputs, but they only give a yes/no response. The reasoning is explained in the advice but is not required from students.

Students are given the equation of a hyperbola and asked to identify the hyperbolic graph out of a set of 4 graphs.

Students are shown an exponential graph and asked to choose the correct formula for the graph.

Data from a compound interest are shown in a table. Students are asked to compute the value of an investment, and to identify the type of graph.

Shows an exponential graph displaying the value of an investment under compound interest. Students have to identify the type of graph and answer 3 questions about the value of the investment from the graph.

Students are shown an exponential function formula and asked to identify the correct graph, given an exponential, a hyperbola, a parabola and a line.

A question to practise the following skills in the context of Earth Sciences:

• using a data set to deduce a linear relationship
• using the graph to make predictions

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

Calculating the area enclosed between a linear function and a quadratic function by integration. The limits (points of intersection) are not given in the question and must be calculated.

Given random graph of cirlce, write locus in complex form. centre in 1st quadrant

Used for LANTITE preparation (Australia). NA = Number & Algebra strand. Students are shown an infographic, and need to calculate a percentage from the information supplied. There are 7 different versions of this question.

Used for LANTITE preparation (Australia). SP = Statistics & Probability strand. Students are shown an infographic, given the details of one man and asked how many routine screenings they should have. There are seven possible questions.

This question demonstrates a few ways of interacting with a Venn diagram drawn using JSXGraph.

A graph shows both the speed and acceleration of a car. Identify which line corresponds to which measurement, and calculate the acceleration during a portion of time.

Drag points on an axis to plot a linear graph (rational gradient and intercept)

Calculate the length of a line segment given two points

Find the equation from the image of graph

Drag points on an axis to plot a linear graph (integer gradient and intercept only)

Find the gradient of the line that passes through the points 

Identifying which graph shows the function $y=\frac{x-a}{x+b}$

Calculating the area enclosed between a cosine function and a quadratic function by integration. The limits (points of intersection) are given in the question.

This question shows how to use the JSXGraph extension to show the student a plot of a function that they enter.

In the first part, the student enters an expression for $f(x)$. Once they've done that, they can reveal a plot of the function.

Use two points on a line graph to calculate the gradient and $y$-intercept and hence the equation of the straight line running through both points.

The answer box for the third part plots the function which allows the student to check their answer against the graph before submitting.

This particular example has a positive gradient.

A quadratic and a graph of it is given. A tangent is also sketched. The equation of the tangent line is asked for.

This question demonstrates how to plot a graph of a function using JSXGraph.

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This question demonstrates a few ways of interacting with a Venn diagram drawn using JSXGraph.