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$A,\;B$ $2 \times 2$ matrices. Find eigenvalues and eigenvectors of both. Hence or otherwise, find $B^n$ for largish $n$.

demonstrates bug on geogebra diagram

Find the eigenfunctions of an irregular Sturm–Liouville problem and hence solve an inhomogeneous boundary value problem by writing the solution as an eigenfunction expansion.

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Friction

Friction

Given two complex numbers, find by inspection the one that is a root of a given quartic real polynomial and hence find the other roots. 

This question aims to test understanding and ability to use the laws of indices.

Given a number evaluate simple power, negative power, to one half.

Interpreting a p-value given the hypothesis.  Common misconceptions. 

Practice using the log rules to add and subtract logarithms

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Algebra:  Quadratic Factorisation.

              Coefficient of squared term is 1.

Straight line graph formula

Calculate the functional value at a point.

Calculate the functional value at a point.

This exercise will help you rearrange a linear equation to find the value of a given variable

Factorising polynomials using the highest common factor

Simplifying algebraic expressions

A 'concept test'.  3 multiple choice questions about a graphed normal distribution curve modelling IQ data.

A demo of the match choices with answers part and its options.

No caculation 'concept test' on confidence intervals.  A single multiple choice question interpreting a CI.

A 'concept test' (no calculations) with 4 multiple-choice parts.

Calculate reactions and shear and bending moment at a point for an overhanging beam with a constant or uniformly varying distributed load.

True/false question type to assess basic knowledge of confidence intervals.

Modulus and argument of a single complex number $z=z_1/z_2$, where $\mathrm{Re}(z_1)=\mathrm{Im}(z_1)$ and $\mathrm{Re}(z_2)=-\mathrm{Im}(z_2)$.