These practice questions can help you revise basic mathematical concepts needed to succeed when studying STEM programs.

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Practice questions on these topics.

This question demonstrates how to construct a JSXGraph diagram using JessieCode.

The construction shows a triangle and its orthocentre, circumcentre and centroid. They are always collinear. You can move the vertices of the triangle.

A collection of questions demonstrating the JSXGraph, GeoGebra and Eukleides extensions.

Demonstrates how to display a plot generated in R.

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

Evaluating arithmetic operations, and the order of operations.

Solve linear equations with unknowns on one. Including brackets and fractions.

Dummy question to test random() function when first decimal place of upper limit of range is 4, and test of currency() function.

Simple Veriosn of Exam with randomised values

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Two quadratic graphs are sketched with some area beneath them shaded. Question is to determine the area of shaded regions using integration. The first graph's area is all above the $x$-axis. The second graph has some area above and some below the $x$-axis.

In this question the students have to solve a linear recurrence of order 2. The sequence is asked in recurrence form and the goal is to find its closed form.

Some basic tasks involving vectors, including converting to/from component form, scalar product, resultant vectors.

Friction and Accelration of a block with 2 forces applied

$y=mx+b$

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Two dimensional particle equilibrium problem.  Advice shows how to use how to use slope triangles to find sines and cosines, rather than finding the angle and using that.

Determinig the CoG of a composite part

3 Forces Applied to an Eye bolt.  Use force components to calculate the Reaction force.

2 bodies on an incline plane

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This is a practice test for students sitting the LANTITE (literacy).

End of chapter exercises for Engineering Statics: Open and Interactive