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Work out the volume of a prism with a trapezium cross-section.

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Factorising polynomials using the highest common factor.

Adapted from 'Factorisation' by Steve Kilgallon.

Evaluate $\int_1^{\,m}(ax ^ 2 + b x + c)^2\;dx$, $\int_0^{p}\frac{1}{x+d}\;dx,\;\int_0^\pi x \sin(qx) \;dx$, $\int_0^{r}x ^ {2}e^{t x}\;dx$

Calculating percentages, VAT, Profit, Loss

rebel

rebelmaths

Profit and Loss, Percentages

rebelmaths

Profit and Loss, Percentages

rebelmaths

Currency Conversion

rebelmaths

Currency Conversion

rebelmaths

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Rationalise the denominator with increasingly difficult examples involving compound denominators. 

This question tests the student's understanding of what is and is not a surd, and on their simplification of surds.

Manipulate surds and rationalise the denominator of a fraction when it is a surd.

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Drug Calculations

Drug Calculations

Determine the reactions supporting a cantilever beam carrying concentrated forces and moments.

Question on drug calculations

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A really simple question which asks the student to multiply two matrices.

The human resources department of a large finance company is attempting to determine if an employee’s performance is influenced by their undergraduate degree subject. Personnel ratings are used to judge performance and the task is to use expected frequencies and the chi-squared statistic to test the null hypothesis that there is no association.

Given two sets of data, sample mean and sample standard deviation, on performance on the same task, make a decision as to whether or not the mean times differ. Population variance not given, so the t test has to be used in conjunction with the pooled sample standard deviation.

Link to use of t tables and p-values in Show steps.

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.

Paired t-test to see if there is a difference between responses after treatment.