A student selects a card from a deck of 52 and rolls a dice once.

rebelmaths

Asks students to apply laws of logical equivalence to prove the equivalence between two logical statements. The quiz should accept any correct answer (as long as each step is included, with one law per step), and provides detailed feedback on mistakes.

Basic data structures and maths/stats functionality given.

You can configure the rest.

rebelmaths

A question to practice equation line and finding gradients

This question tests the student's ability to solve simple linear equations by elimination. Part a) involves only having to manipulate one equation in order to solve, and part b) involves having to manipulate both equations in order to solve. 

Eight expressions, of increasing complexity. The student must simplify them by expanding brackets and collecting like terms.

This is a set of questions designed to help you practice adding, subtracting, multiplying and dividing fractions.

All of these can be done without a calculator.

End of chapter exercises for Engineering Statics: Open and Interactive 

Equilibrium of a particle, solution by rotating coordinate system.

Calculate the moment of a force about three points using the definition of a Moment.  All forces and points are in the same plane.

Collecting like terms, expanding a bracket (distributive law), substitution of values, finding factors, simplifying algebraic fractions.

Introduction to using the product rule

Questions on understanding inequality notation and solving inequalities

Solving an inequality of the form ax+b < c where a is negative.

Solving an inequality of the form ax+b < c where a is negative.

Solving an inequality of the form ax+b < c

Solving an inequality of the form ax+b < c

Solving an inequality of the form x/a < b

Solving an inequality of the form ax < b

Solving an inequality of the form x+a < b

Identify the truth value of an inequality (T/F) between two numbers

Several questions on expanding double brackets

Expand two brackets involving powers of $x$.

Expanding two linear brackets multiplied together.

Expanding two linear brackets multiplied together.

Expanding two linear brackets multiplied together.

Expanding two linear brackets multiplied together.

Expanding two linear brackets multiplied together.

Pulley supported by a cable, so the tension in the rope is constant.    Advice is a youtube video showing how to solve the problem.

• This question assesses students' ability to:
  • create basic visualisation of multivariate data using ggplot2, and
  • identify errors and issues with ggplot2 code and fix them accordingly.
• The students submit code to each part. It is envisioned that they will try the code in RStudio, and only submit to Numbas when they are satisfied with the resulting visualisation or output.
• As of 2026-02-24, this question is not randomised.