A demo of the choose several from a list part and its options.

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Euler-Bernoulli simply supported beam bending example with point force and moment.

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Application of the Poisson distribution given expected number of events per interval.

Finding probabilities using the Poisson distribution.

Moving averages, regression and seasonal adjustments.

Centred moving averages.

Conduct a linear regression analysis using a spreadsheet or stats program.

rebelmaths

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.

Shows how to use the "random person" extension to pick random names using the built-in French data set.

Shows how to use the "random person" extension to pick random names for people in your questions.

Given a table of data, calculate the mean, mode and median, and complete a frequency table.

The student is asked to write a matrix with a certain property, or tick a box labelled "this is impossible" if it can't be done.

A custom marking algorithm on the gap-fill part first checks if the student ticked the box. If they did, their answer is marked correct if it really is impossible. If they didn't tick it, their matrix is checked against the required property.

One question on determining whether statements are propositions.

Four questions about truth tables for various logical expressions.

Find a matrix whose associated linear map maps the unit square to the shown parallelogram. Match figures "of linear maps" with matrices.

Compute how many linear maps $\mathbb F_p^n\to \mathbb F_p^m$ exist which take prescribed values on a given set of elements in $\mathbb F_p^n$ (which is linearly dependent).

Find a basis for the intersection of two kernels of linear maps $\mathbb Q^3\to \mathbb Q^3$ and $\mathbb Q^3\to \mathbb Q$.

Straightforward solving linear equations question.

Adapted from 'Simultaneous equations by elimination 1 with parts' by Joshua Boddy.

Shows how to define variables to stop degenerate examples.

Solve a system of linear equations using Gaussian elimination.

A graph is drawn. A student is to identify the derivative of this graph from four other graphs. There are four such questions.

Calculating limits using algebraic techniques

Evaluate a rational limit using algebra

Evaluate $\displaystyle \lim_{x\to k} \frac{x+a}{\sqrt{x+b} - c}$ using algebra

Evaluate a rational limit using algebra

Evaluate $\displaystyle \lim_{x\to 0} \frac{\sqrt{ax+b} - d}{cx}$ using algebra

Evaluate $\displaystyle \quad \lim_{x\to a} \frac{ex+d}{ax^2+bx+c} \quad $ algebraically.

Evaluate $\displaystyle \quad \lim_{x\to a} \frac{ax^2+bx+c}{ex+d} \quad $ algebraically.

Evaluate $\displaystyle \quad \lim_{x\to a} \frac{ax+b}{x^2+c} \quad $ algebraically.