Multiplication of $2 \times 2$ matrices.

Linear combinations of $2 \times 2$ matrices. Three examples.

Cofactors Determinant and inverse of a 3x3 matrix.

Basic question on limit laws and the squeeze theorem for sequences.

Often students need practice re-indexing series, these are three questions that give them that opportunity.

Test whether a student knows the divergence test of a series, and how to use it. Series include those that the diverence test is inconclusive for. This question could be better in that it could go through the working of determining the limit but I hope to make a separate question which deals with that.

This question tests to see if students can recognise a $p$-series and based on its $p$-value determine if it is convergent or divergent.

This question tests to see if students can recognise a geometric series and based on its common ratio determine if it is convergent or divergent.

Test whether a student knows the ratio test of a series, and how to use it. Series include those that the ratio test is inconclusive for. This question could be better in that it could go through the working of determining the limit but I hope to make a separate question which deals with that.

Test whether a student knows the comparison test of a series, and how to use it. Series include those that the comparison test is inconclusive for.

Test whether a student knows the monotonic sequence theorem.

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Find the determinant and inverse of three $2 \times 2$ invertible matrices.

Factorising polynomials using the highest common factor.

Adapted from 'Factorisation' by Steve Kilgallon.

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Equating coefficients of a polynomial. Basic ones that don't require simultaneous equations.

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25 Marks of questions on fractions - not any more, accidentally deleted questions

This is a set of questions designed to help you practice adding, subtracting, multiplying and dividing fractions.

All of these can be done without a calculator.

These short questions allow you to practice converting between decimals and fractions.

A selection of questions which use the "random person" extension to randomise the names of people in the question text.

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25 marks worth of questions on rearranging (n.b. assumes quadratics in some places)

25 marks of questions on manipulating brackets

Simple examples combining functions

Given a graph of a straight line, the student is asked various questions about it, e.g. values of $f$, of $f$ inverse, about its gradient, about intercepts.

An introduction to terminology about the surjective property of a function.