No description given

No description given

Find the remainder when dividing two polynomials, by algebraic long division.

No description given

No description given

Manipulation of algebraic fractions

Use two points on a line graph to calculate the gradient and $y$-intercept and hence the equation of the straight line running through both points.

The answer box for the third part plots the function which allows the student to check their answer against the graph before submitting.

This particular example has a positive gradient.

The student is given a quadratic formula and asked to fill in a table of values of $f(x)$ for a given range of $x$.

The table uses the spreadsheet extension.

Draw shear and bending moment diagram for  beam with a uniformly distributed load and a concentrated force

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.

Draw Shear and Bending Moment Diagrams for a simply supported beam with triangular loading

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.

Draw Shear and Bending Moment Diagrams for a simply supported or overhanging beam loaded with one or two concentrated forces.

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.

No description given

Concept check on sign convention for shear and bending moment diagrams

No description given

No description given

No description given

No description given

No description given

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.