Written to help prepare pre-service teachers for the numeracy test in Australia called LANTITE.

Based on the Australian Core Skills Framework - numeracy - level 3 - personal and community sample activity:Accurately measures a range of quantities to follow a recipe or operating instructions
incorporating making a product of a smaller or larger size than specified, e.g. follows a recipe
for six people and can adjust it to cater for 24 people

Has an annoying plural issue

Students are asked to find either the initial production cost, or a gradient, or the break even point from a graph.
They are then asked to determine the profit or loss from the graph for the production of a particular number of units. This number is randomised.

Given the vectors $\mathbf a$, $\mathbf b$ and $\mathbf c$, calculate $(\mathbf a \times \mathbf b) \times \mathbf c$ and $\mathbf a \times (\mathbf b \times \mathbf c)$.

Find a perpendicular vector to a pair of vectors.

Calculate the vector product between two vectors.

Given three 3-dimensional vectors $\mathbf a$, $\mathbf b$ and $\mathbf c$, calculate the scalar product between $\mathbf a$ and $\mathbf b$, the angle between $\mathbf a$ and $\mathbf b$, and $\mathbf a (\mathbf b \cdot \mathbf c)$,

Given three 2-dimensional vectors $\mathbf a$, $\mathbf b$ and $\mathbf c$, calculate the scalar product between $\mathbf a$ and $\mathbf b$, the angle between $\mathbf a$ and $\mathbf b$, and $\mathbf a (\mathbf b \cdot \mathbf c)$,

Calculating the derivative of a function of the form $(ax+b)^n(cx+d)^m$ using the product rule.

Calculating the derivative of a function of the form $ax^n(bx^m+c)^p$ using the product rule.

Calculating the derivative of a function of the form $e^{ax} \ln(bx)$ using the product rule.

Calculating the derivative of a function of the form $\ln(ax) \tan(bx)$ using the product rule.

Calculating the derivative of a function of the form $\ln(ax) \cos(bx)$ using the product rule.

Calculating the derivative of a function of the form $\ln(ax) \sin(bx)$ using the product rule.

Calculating the derivative of a function of the form $e^{ax}\tan(bx)$ using the prouct rule.

Calculating the derivative of a function of the form $e^{ax}\cos(bx)$ using the prouct rule.

Calculating the derivative of a function of the form $e^{ax}\sin(bx)$ using the prouct rule.

Calculating the derivative of a function of the form $ax^n \ln(bx)$ using the product rule.

Calculating the derivative of a function of the form $ax^n e^{bx}$ using the product rule.

Calculating the derivative a function of the form $ax^n \tan(bx)$ using the product rule.

Calculating the derivative a function of the form $ax^n \cos(bx)$ using the product rule.

Calculating the derivative a function of the form $ax^n \sin(bx)$ using the product rule.

Evaluación de la superposición vectorial de campos provenientes de cuatro cargas puntuales. Este es un problema de suma de vectores, magnitudes de vectores y productos escalares (puntos) con un poco de trigonometría.

Demonstration of randomisation: many elements in this question are randomised. The names of the products and clients are randomly chosen, as are the prices and order amounts.

Matrix multiplication. Has automatically generated "unresolved" matrix product to write in the solution, which is the interesting part of this implementation.

Given vectors $\boldsymbol{v}$ and $\boldsymbol{w}$, find their inner product.

Given vectors $\boldsymbol{v}$ and $\boldsymbol{w}$, find their inner product.