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Quadratic factorisation that does not rely upon pattern matching.

Represent a given probability to a decimal, fraction or percentage.

Calculating the square root of a complex number using De Moivre.

Use the rule $\log_a(n^b) = b\log_a(n)$ to rearrange some expressions.

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

Identifying some of the basic properties (intercepts, asymptotes, quadrants) of a rational function (quadratic over linear)

Intorduction to using the defnition to prove simple stamtements.

Simple intro to mod arithmetic

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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

Laws of indices

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.