Equilibrium of a particle, solution by rotating coordinate system.

End of chapter exercises for Engineering Statics: Open and Interactive 

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.

• 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.

Quiz designed as summary test for MAST resource: Matrices (A Level Further Maths content)

Multiplication of two matrices.

3-part question with drop-downs testing understanding of when matrices are conformable.

Matching exercise with terminology: zero, square, diagonal, identity, upper/lower triangular

Find the tensions is a system of cables supporting two loads.

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.