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

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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.

Skills Audit for Students on Aerospace programmes 2025/26

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

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Issues: alignment in columns in the working - not sure what to do about it

Decimal divided by a decimal. Multiply by a power of ten to get an integer divisor. Long and short division process. There is a remainder which we express as a decimal by continuing the division process. Rounding is required to some number of decimal places.

Finding the arc length of a sector of a circle when given the radius of the circle and angle of the sector.

Finding the arc length of a sector of a circle when given the radius of the circle and angle of the sector.

Calculating the amount of money in a savings account after a given amount of time, and calculating how long it will take for the amount of savings to exceed a given value. 

Solve linear equations with unkowns on both sides. Including brackets and fractions.

Rewrite the expression $\frac{cx+d}{(x+a)(x+b)}$ as partial fractions in the form $\frac{A}{x+a}+\frac{B}{x+b}$.

Simplifying expressions from $\frac{x^mx^n}{x^p}$ to $x^{m+n-p}$. 

Post Graduate Taught COM programmes

COM undergraduate courses

Skills Audit for Maths and Stats for MAS003 SEFY students without a prerequisite of A-level Maths.

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testing sin, cos, tan of  random(0,90,120,135,150,180,210,225,240,270,300,315,330) degrees but in radians

testing sin, cos, tan of angles that are negative or greater than 2pi radians that result in nice exact values.