65 results in Demos  search across all projects.

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A demo of how custom marking algorithms can be used to replace the builtin marking methods.

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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.

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A demonstration of the random person extension, which picks representative names of people.

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A demo of the "quantities with units" extension and custom part type.

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A demo of the match text pattern part and its options.

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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.

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A demo of the gapfill part and its options.

QuestionAn interactive experiment about probability: the student must first 'design' the experiment by deciding how many times they're going to flip a coin, and define what number of heads would make them believe the coin is biased. They must then enter the results of their coin flips, calculate the percentage of heads, and finally decide if the coin is biased, using the condition they specified in the design stage. There are optional hints at each stage.

QuestionThe student is asked to add two fourdigit numbers. Alternative answers are set up with progressively expanding ranges of accepted values, so the student gets more marks for getting closer to the true answer.

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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.

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Customised for the Numbas demo exam
Motion under gravity. Object is projected vertically with initial velocity $V\;m/s$. Find time to maximum height and the maximum height. Now includes an interactive plot.

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An example of using the GeoGebra extension to ask the student to create a geometric construction, with marking and steps.

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A demonstration of embedding various kinds of media in a question.

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A demo of the matrix entry part and its options.

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Showing off the part types.

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A demo of the mathematical expression part and its options.

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A demo of the number entry part and its options.

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

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

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A demo of the match choices with answers part and its options.

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A demo of some custom part types.

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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.

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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.

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This question demonstrates how to construct a JSXGraph diagram using JessieCode.
The construction shows a triangle and its orthocentre, circumcentre and centroid. They are always collinear. You can move the vertices of the triangle.

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

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This question demonstrates how to use GeoGebra applets in explore mode.
The student must construct a polygon by adding points one at a time. At any point, they can answer the question, "Is the centroid inside the polygon?"
GeoGebra's IsInRegion command is used to decide if the centroid is inside the polygon.

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This question shows how to load a GeoGebra applet from geogebra.org.

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