A quick implementation of certainty-based marking: the student's score depends on how they rated their certainty in their answer before submission.

Because Numbas doesn't allow negative marking at the moment, scores are shifted upwards, so a high certainty incorrect answer scores 0, and a high certainty correct answer scores full credit.

JSXGraph code based on original by Christian Lawson-Perfect

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

Based on a puzzle by Catriona Shearer, shared on Twitter.

The student must calculate the number of digits a given decimal number would have when written in a different base. Alternative answers catch some common mal-rules and give appropriate feedback.

Based on table 2 from "diagnosing student errors in e-assessment questions" by Philip Walker, D. Rhys Gwynllyw and Karen L. Henderson.

Update: you can now use the conditional visibility button to do this more easily - see the documentation.

If the statement or advice for your question differs greatly depending on a random variable (for instance, if you're picking from a selection of scenarios), you only want to show content for the relevant scenario.

This question shows one way of doing that.

15 questions based on module so far. 

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The student has to compute $a^b$ and $b^a$, then decide which of the two is bigger.

This question shows how to set up a custom marking matrix for the "choose one from a list" part, based on values used elsewhere in the question. It could use adaptive marking to use the student's incorrect values for the comparison, but doesn't at the moment.

Multiple response question (4 correct out of 8) covering properties of convergent and divergent series and including questions on power series. Selection of questions from a pool.

Minitab was used to fit both an AR(1) model and an AR(2) to a stationary series. A  table is given summarising the results obtained from Minitab. Choose the most appropriate model and make a forecast based on that model.

Interpreting the minitab output from a logistic regression model of salary against obesity as measured by BMI.

Asking users to interpret a minitab output to give the coefficients of a multiple regression together with a prediction based on the subsequent equation.

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

Given data on probabilities of three levels of success of three options and projections of the profits that the options will accrue depending on the level of success, find the expected monetary value (EMV) for each option and choose the one with the greatest EMV.

Given a matrix in row reduced form use this to find bases for the null, column and row spaces of the matrix.

Exercise using a given uniform distribution $X$, calculating the expectation and variance. Also finding $P(X \le a)$ for a given value $a$.

In the Gaussian integer ring $\mathbb{Z}[i]$ , find the remainder $r=r_1+r_2i$, where $a \gt 0,\;b \gt 0$ , on dividing $a+bi$ by $c+di$ .

Modular arithmetic. Find the following numbers modulo the given number $n$. Three examples to do.

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

Use laws for addition and subtraction of logarithms to simplify a given logarithmic expression to an arbitrary base.

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