Simple probability question. Counting number of occurrences of an event in a sample space with given size and finding the probability of the event.

Rearrange some expressions involving logarithms by applying the relation $\log_b(a) = c \iff a = b^c$.

The electrostatic potential due to a point charge is calculated at three points, who of which are at the same distance but different directions.  This relates to the idea that the equipoptentials of a point charge are spheres centred on the charge, so all points at the same distance are at the same potential.

This question requires unit conversion, numerical calculations and some critical evaluation.

This question gives information on how to answer mathematical expression parts, and some opportunities to try submitting answers.

Differentiation question with customised feedback to catch some common errors.

Parametric differentiation question with customised feedback to catch some common errors.

Implicit differentiation question with customised feedback to catch some common errors.

Logarithmic differentiation question with customised feedback to catch some common errors.

Product rule differentiation question with customised feedback to catch some common errors.

Parametric differentiation question with customised feedback to catch some common errors.

Logarithmic differentiation question with customised feedback to catch some common errors.

Questions about volumes of shapes, and some surface areas.

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Some simple multiple choice questions on the field of complex numbers.

Given a probability mass function $P(X=i)$ with outcomes $i \in \{0,1,2,\ldots 8\}$, find the expectation $E$ and $P(X \gt E)$.

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A demonstration of how to use the "variable list of choices" option for a "choose one from a list" part to shuffle only some of the choices, and always have the same "I don't know" choice at the end of the list.

Partial differentiation question with customised feedback to catch some common errors.

Partial differentiation question with customised feedback to catch some common errors.

Partial differentiation question with customised feedback to catch some common errors.

Partial differentiation question with customised feedback to catch some common errors.

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Find a regression equation.

Now includes a graph of the regression line and another interactive graph gives users the opportunity to move the regression line around. Could be used for allowing users to experiment with what they think the line should be and see how this compares with the calculated line.

Also includes an updated SSE to see how the sum of the squares of the residuals varies with the regression line.

Demo question: do some sneaky symbolic differentiation to check that the student's answer is the integral of the expression they're given.

Needs an advice section before it can be used.

Horizontal translation to the left of some function f(x)

Given two distributions, calculate the measures of average and spread and make some decisions based on the results.

Deduce some properties of elements of $\mathbb F_4$, given its multiplication table. (E.g., which element is the zero, the one element, ...)