Josh Lim

Get the student to upload their experimental data in a CSV file, then ask them to compute statistics on it.

Compute a table of values for a quadratic function. A JSXgraph plot shows the curve going through the entered values.

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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Identify when the student gives an expected incorrect answer, and give appropriate feedback as well as partial marks.

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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.

Indefinite Integrals

rebel

rebelmaths

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Load data on some items held in the Cooper Hewitt collection, and show a table of 5 randomly picked items.

Simple ratio question with custom marking and partial credit possible

Given descriptions of  3 random variables, decide whether or not each is from a Poisson or Binomial distribution.

Given three vectors, arrange them in a tip to tail arrangement using geogebra, then estimate the magnitude and direction of their resultant.

A random heating question, that randomly picks a material, and then heats it through either one or two phase changes, provides an example graph of the heating with scaled temperature ranges (though not with scaled latent and specific heats), and a table with the suitable constants.

Calculate the efficiency and heat from the hot reservoir in a Carnot Cycle (with carnot diagram)

A random heating question, that randomly picks a material, and then heats it through either one or two phase changes, provides an example graph of the heating with scaled temperature ranges (though not with scaled latent and specific heats), and a table with the suitable constants.

No description given

A block of given mass is sliding down the plane with a given acceration. Find the normal reaction force, the parallel force and the missing value of a and mu.

The student is asked to factorise a quadratic $x^2 + ax + b$. A custom marking script uses pattern matching to ensure that the student's answer is of the form $(x+a)(x+b)$, $(x+a)^2$, or $x(x+a)$.

To find the script, look in the Scripts tab of part a.

This question tests students knowledge of basic matrix arithmetic.

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

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

Multiplication of $2 \times 2$ matrices.