Multiply two algebraic fractions (unfortunately their appearance doesn't really change) and cancel. 

Example showing how to mark a "choose one from a list" part where the student has to pick the range a given number lies in.

Students seem to freak out when their answer is not written exactly the same as the answer provided. This question tries to enforce that $(x-y)=-(y-x)$ and $\frac{a-b}{c-d}=\frac{b-a}{d-c}$

Collecting like terms, expanding a bracket (distributive law), substitution of values, finding factors, simplifying algebraic fractions.

This questions assesses the ability to conduct an ANOVA and interpret the results.

Adaptive marking: an error in calculating F can be carried over to the calculation of the p-value as well as the test conclusion.

This question assesses learners' basic knowledge of a one-way ANOVA and ability to interpret typical software output.

Practice factorising different types of quadratics. Repeat as many times as you want. 

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Solve a simple linear equation algebraically. The unknown appears on both sides of the equation.

Calculating the derivative of a function of the form $\frac{(x-a)^2}{bx} + c$, finding its stationary points and determining their nature.

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Simlify (expand) logarithmic expressions 

Expand $\ln(\dfrac{a^{x}}{b^{y}})$ into $x\ln(a)-y\ln(b)$, x and y randomised.

Expand $\ln(a^{x}b^{y})$ into $x\ln(a)+y\ln(b)$, x and y randomised.

In the first part, the student is asked to enter dimensions of a box in a spreadsheet.

The values are extracted as a list of numbers by changing the interpreted_answer note in the first part's marking algorithm, and the calculated volume is used as the answer to the second part, through adaptive marking.

Using basic derivatives to calculate the gradient function of a hill $y=-e^x+b\ln\left(x\right)+c$, and then substituting values to find the gradient at specific distance from the sea.