Factorise polynomials by identifying common factors. The first expression has a constant common factor; the rest have common factors involving variables.

Solve simple two step linear equations with feedback.

Find the stationary points of the function: $f(x,y)=a x ^ 3 + b x ^ 2 y + c y ^ 2 x + dy$ by choosing from a list of points.

Differentiation of  polynomials, cos, sin, exp, log functions. Product, quotient and chain rules.

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Units, conversions, decimal places and significant figures

Degree conversion

Questions about how the answer to a multiplication or a division is affected if you adjust the numbers involved. E.g. if you double the denominator, what happens to the answer.

Implicit differentiation.

Given $x^2+y^2+dxy +ax+by=c$ find $\displaystyle \frac{dy}{dx}$ in terms of $x$ and $y$.

Also find two points on the curve where $x=0$ and find the equation of the tangent at those points.

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Use laws for addition and subtraction of logarithms to simplify a given logarithmic expression to an arbitrary base.

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Differentiate $\displaystyle \ln((ax+b)^{m})$

This exam uses a custom theme to provide no feedback about scores to the student.

The idea is to provide a version of the test compiled with this theme to the students as they attempt it. Once the test has closed, update with a version of the same test compiled with the default theme, so students can go back in and get feedback.

Several questions asking about content in Week 0 of course; arithmetic, bodmas, procedures, exponentiation, logs.

A simple question on ratio. Awarding Partial Credit. No randomisation in the question.

A couple of multiplication tables to be completed. Numbers to be multiplied are generated randomly. Single digit multiplication recall.

Multi digit whole number mutliplication

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Provided with information on a sample with sample mean and standard deviation, but no information on the population variance, use the t test to either accept or reject a given null hypothesis.

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Differentiation of  polynomials, cos, sin, exp, log functions. Product, quotient and chain rules.

Missing: Application with bacteria, turning points, difficult chain rule

Transposition of formulae. Changing the subject of an equation. 

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Cofactors Determinant and inverse of a 3x3 matrix.

Find the determinant and inverse of three $2 \times 2$ invertible matrices.

Find the determinant of a $3 \times 3$ matrix.

Elementary Exercises in multiplying matrices.