Demos

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Customised for the Numbas demo exam

Factorise $x^2+cx+d$ into 2 distinct linear factors and then find $\displaystyle \int \frac{ax+b}{x^2+cx+d}\;dx,\;a \neq 0$ using partial fractions or otherwise.

Video in Show steps.

Demonstration of adaptive marking: the student must first add up the number of apples to buy, then work out how much that would cost. Adaptive marking carries an incorrect number of apples into the cost calculation.

Given the gradient of a slope and the coefficient of friction for a mass resting on it, use the equations of motion to calculate how it moves.

Includes a GeoGebra rendering of the model.

A demo of the choose one from a list part and its options.

A demo of some custom part types.

This demonstrates how to construct a JSXGraph diagram in JME code.

The construction shows a triangle and its orthocentre, circumcentre and centroid. They are always collinear. You can move the vertices of the triangle.

A few questions which use the GeoGebra extension.

This question shows how to use the GeoGebra extension to start with a blank worksheet, and add objects to it.

This question demonstrates how to link a GeoGebra object to the answer to a part.

This question demonstrates how to display a GeoGebra worksheet loaded from a file attached to the question.

A collection of questions to show off at a workshop for the North East and Yorkshire sigma hub, June 2016.

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Some questions to show off features of Numbas, linked from the Numbas homepage.

Three equilateral triangles are divided equally into 3, 4 and 5 parts respectively. Calculate the distance between two marked points.

Based on a puzzle by Catriona Shearer, shared on Twitter.

Taken from question 37 of the book Problem Solving in GCSE Mathematics by Daniel Griller.

Given bearings and lengths of two straight lines, work out the bearing and distance back to the starting point.

A Eukleides diagram shows the setup visually.

A collection of questions to show off at a workshop for Newcastle's LTDS, June 2016.

Some questions which demonstrate the adaptive marking feature.

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Some questions to show off features of Numbas, linked from the Numbas homepage.

Some questions demonstrating new features in Numbas v4.0: pattern-matching, inference of variable types in mathematical expression parts, and marking equations.

In this question, the correct answers can't be evaluated by substituting numbers for each of the variables.

Numbas can now infer the types of variables in the answers to mathematical expression parts, so questions like this can be marked.

The student is asked to enter an approximation to $\sqrt{n}$, where $n$ is not a square number, to 20 decimal places.

This question is a demonstration of the high precision arithmetic in Numbas v4.

The student is asked to give the Avogadro constant in scientific form, calculate the mass of a number of moles of carbon, in grams, and then calculate the number of molecules in that mass.

This is a demonstration of the high-precision decimal arithmetic in Numbas v4.0.