Given the position vectors of three 2-dimensional points $A$, $B$ and $C$, find the coordinates of a fourth point $D$ such that $ABCD$ forms a parallelogram. 

Find the unit vectors in the direction of four 2-dimensional vectors. Three of the vectors are given, and the fourth is expressed as a linear combination of two of the other vectors.

Separable equation for integration.

Integration by parts.

Integration by parts.

Integration by parts.

Integration by parts.

Rewriting expressions of the form $n\log(a)\pm m\log(b)$ as a single logarithm.

Skills Audit for Maths and Stats for MAS005 Science and Engineering Foundation Year students who have already studied A-level maths.

Draws a triangle based on 3 side lengths and randomises asking for hypotenuse or not.

Calculating the derivative of a function of the form $(ax+b)^n$ using the chain rule.

Solve linear equations with unknowns on one. Including brackets and fractions. Solutions may require rounding.

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Rewriting $\log_{10}(x)$ in terms of $\log_{10}(a)$ and $\log_{10}(b)$, where $a$, $b$ and $x$ are given.

Simple exercise in collecting terms in different powers of \(x\)

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Horizontal and vertical shifts and scales of a random cubic spline

Horizontal and vertical shifts and scales of a random cubic spline

Horizontal and vertical shifts and scales of a random cubic spline

of a random cubic spline

of a random cubic spline

of a random cubic spline

of a random cubic spline

Horizontal and vertical shifts and scales of a random cubic spline

Reading a value from a simple bar chart.

Reading a value from a histogram.

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