44 results in Demos - search across all projects.

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• Question

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.

• Numbas demo: JME part
Question

No description given

• Question

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.

• Question

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.

• Question

No description given

• Question

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.

• Question

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

• Question

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

• Question
This 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.
• Numbas website demo
Exam (12 questions)

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

• Question

No description given

• Question

Showing off the part types.

• Printed worksheet
Exam (4 questions)

An exam set up to produce printed worksheets.

• JSXGraph demo
Exam (3 questions)

Some questions which use JSXGraph to create interactive graphics.

• Eukleides extension
Exam (2 questions)
A couple of questions demonstrating the use of the Eukleides extension to create geometrical drawings.
• Exam (2 questions)

A few questions which use the GeoGebra extension.

• Custom marking
Exam (4 questions)

No description given

• Question

No description given

• Question

No description given

• Question

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.

• Question

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.

Exam (3 questions)

Some questions which demonstrate the adaptive marking feature.

• Numbas demo: video
Question

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.

• Mark equations
Question

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.

• Question

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.

• Question

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

• Numbas v4.0
Exam (6 questions)

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

Question

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.

• Question

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.

• Question
This 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.