Using differentiation to find the tangent and normal to a line at a given point

Differentiate the function $f(x)=(a + b x)^m  e ^ {n x}$ using the product rule. Find $g(x)$ such that $f^{\prime}(x)= (a + b x)^{m-1}  e ^ {n x}g(x)$.

Using the chain rule within product rule problems

Solving a system of three linear equations in 3 unknowns using Gaussian Elimination (or Gauss-Jordan algorithm) in 5 stages. Solutions are all integers. Introductory question where the numbers come out quite nice with not much dividing. Set-up is meant for formative assessment. Adapated from a question copied from Newcastle.

Solving a system of three linear equations in 3 unknowns using Gaussian Elimination (or Gauss-Jordan algorithm) in 5 stages. Solutions are all integers. Set up so that sometimes it has infinitely many solutions (one free variable), sometimes unique solution. Scaffolded so meant for formative. The variable d determines the cases (d=1: unique solution, d-0: infinitely many solutions). The other variables are set up so that no entries become zero for some randomisations but not others.

This question asks learners to use row operations to find the inverse of a 3x3 matrix.

Because JavaScript numbers lose precision as they get bigger, you get some unexpected results.

See the variable "two" - the difference should be 2, but because the JavaScript representation of each of the two numbers is the same, it thinks the difference is 0.

Using the decimal data type, there's no loss of precision, so the correct value is produced.

Shows how the \text command is rendered using the plain-text font, not the LaTeX one. Useful for displaying units of measurement and English words inside equations.

Shows how to use the JME function lpad to add zeros to the beginning of a number so it's always displayed using two digits.

This exam uses a custom theme which provides a new logo image.

Call a custom function from another javascript custom function by using scope.evaluate

The student must write a percentage, using the % symbol. An alternative answer checks the cases where they forgot the percent sign (e.g. 55), or entered the corresponding scalar (e.g. 0.55).

This question shows how to display a number like "1234" as "1,234", or "1 234", using the formatNumber function.

A randomised table is contained in a div tag with the id #sales-table, so it can be styled using the CSS preamble.

Example of displaying a randomly chosen image.

Using a shuffled list variable to randomise the order of all options in a multiple choice part except the last one.

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

This question describes how students can adjust Numbas to their liking, using the exam display options and their browser's settings.

This exam tests one's ability to do simple maths quickly, using shortcuts where possible.  It is a diagnostic test so the results are to let us know where you need help.  Please take a screenshot of your final score and forward to WSY.

Practice dividing polynomials using the long division method.

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

Finding probabilities using the Poisson distribution.

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

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

Solve a system of linear equations using Gaussian elimination.

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