Draw shear and bending moment diagram for a symmetrically loaded beam resting on the ground.

Express $\displaystyle ax+b+  \frac{dx+p}{x + q}$ as an algebraic single fraction. 

Find the number of people with heights greater then mean plus two times the standard deviation.

A demonstration of the Shear and Bending Moment Extension

 Students must derive the shear and bending moment functions for beam loaded with a parabolic distributed load described with a loading function.  Diagrams are given, but the students must derive the equations by integration.

This question uses a Geogebra applet to solve a linear program with two variables using the graphical method. It contains three steps:

1. Construct the feasible area (polygon) by adding the constraints one by one. The students can see what happens when the constraints are added.
2. Add the objective function, and the level set of the objective value is shown, as well as its (normalised) gradient.
3. Compute the optimal solution by moving the level set of the objective around.

The full list of questions to choose from to build a bespoke Skills Audit for Maths and Stats

Explore mode question guiding you through the steps of the "I can name your polynomial" trick.

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Concept check on sign convention for shear and bending moment diagrams

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Draws a triangle based on 2 angles and a side length.

Draws a right angled triangle based on a length and an angle.

Shows two different ways

Draws a triangle based on 3 side lengths.

Draws a right angled triangle based on 2 lengths.

Skills Audit for students on Computer Science courses.

Skills Audit for Maths and Stats for MAS156 Aerospace Engineering, Electrical and Eletronic Engineering, and Electronics and Computing Engineering students.