Calculating area under curves of the form $ax^2+bx$ and $ax^4+bx^3+cx^2+dx+e$ in a contextualised problem.

Estimating the proportion of sodium carbonate in a solutionat a specific timepoint and vice versa, depicted as a quadratic graph.

Interpreting line graphs depicting the decrease of temperature in a mixture over time. Estimating the temperature of the mixture at a given time point and vice versa.

The student is given a connected graph and must find a minimum spanning tree.

Shows how to use JSXGraph to make a sine graph with amplitude, frequency and phase controlled by sliders.

This question shows how to generate a random set of $(x,y)$ samples, where $y = mx + c + \mathrm{noise}$.

The JSXGraph extension is used to show a scatter plot of the data. This isn't necessary if you just want to generate the data.

The student is given a quadratic formula and asked to fill in a table of values of $f(x)$ for a given range of $x$.

There is also a plot of the points, which updates when the table is filled in, or the student can move the points to fill in the table.

The table uses the spreadsheet and JSXgraph extensions.

Shows how to switch to the 3D graphics view of a geogebra applet using an extension function.

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

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This question shows a JSXGraph diagram above a mathematical expression input, containing a plot of the expression the student enters.

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This uses an embedded Geogebra graph of a sine curve $y=a\sin (bx+c)+d$  with random coefficients set by NUMBAS.

Find multiple solutions of sin

Working 26_10_16

Find multiple solutions of cos

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Given the original formula the student enters the transformed formula

Working 26_10_16

Use Pythagoras' Theorem to find the length of a side on a right-angled triangle.

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Drag points on a graph to the given Cartesian coordinates. There are points in each of the four quadrants and on each axis.

A block of given mass is sliding down the plane, with given acceleration or a given coeff-of-friction. Find the normal reaction force, the parallel force and the missing value of a and mu.

This question asks students to solve a discrete logarithm problem with Pollard's rho algorithm as exposed in the book "introduction to cryptography with open source software" by McAndrew.

These are some questions on graph theory, pulled from a module on groups and graphs.

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

Tests the ability to find the gradient and intercept of a straight line graph.

This uses an embedded Geogebra graph of a sine curve $y=a\sin (bx+c)+d$  with random coefficients set by NUMBAS.

This uses an embedded Geogebra SHM graph with coefficients set by NUMBAS.

This uses an embedded Geogebra SHM graph with coefficients set by NUMBAS.

Given a graph of some function f, the student is asked for values of $f$ and its inverse. Function is cubic and invertible.

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