26 results in Demos  search across all projects.

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Contains some extremely basic code to do symbolic differentiation: it can give the derivative of terms of the form $x^n$, $sin(x)$ and $cos(x)$, and apply the chain rule.

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All the answers in this question are equations. In order to mark each equation, Numbas needs to pick some values that satisfy the equation and some that don't, and check that the student's answer agrees with the expected answer.
Any equation with the same solution set as the expected answer will be marked correct.

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QuestionThis question contains many examples of mathematical expression parts which require the student to enter their in a certain form, which is marked by applying a "pattern to match" restriction.

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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.

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

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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 highprecision decimal arithmetic in Numbas v4.0.

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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.

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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.

QuestionThis question contains several mathematical expression parts which only compare part of the student's answer with the corresponding part of the expected answer, because the expression can't be evaluated as a whole.

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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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Give the student three points lying on a quadratic, and ask them to find the roots.
Then ask them to find the equation of the quadratic, using their roots. Error in calculating the roots is carried forward.
Finally, ask them to find the midpoint of the roots (just for fun). Error is carried forward again.

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Examples of the following custom part types: Yes/no, List of numbers, Give a numerical input for an expression, Number entry modulo.

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Two sample ttest to see if there is a difference between scores on questions between two groups when the questions are asked in a different order.

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Ask the student to find a matrix corresponding to a given rotation about the origin.
Then ask them to find the determinant. Their answer is marked against the matrix they gave, not just the correct one.
Finally, ask them to find the inverse of their matrix. Marking is against the matrix and determinant they gave.

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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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Showing off the part types.

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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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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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