Inverse and division of complex numbers.  Four parts.

Multiplication and addition of complex numbers. Four parts.

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

Simplifying expressions such as $b^{\log_b(x)}$ and $b^{\log_b(x)}$.

Transposition of formulae. Changing the subject of an equation. 

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Instructions on inputting ratios of algebraic expressions.

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Cofactors Determinant and inverse of a 3x3 matrix.

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

Find the determinant of a $3 \times 3$ matrix.

Multiplication of $2 \times 2$ matrices.

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

Elementary Exercises in multiplying matrices. 

Laplace from tables: e^(at), cos(bt), sin(bt).

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Multiplication of $2 \times 2$ matrices.

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

Given ratio of ingredients in a preparation, and amounts of each ingredient, work out how much of the preparation you can make.

Based on question 5 from section 3 of the maths-aid workbook on numerical reasoning.

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

Given $6$ vectors in $\mathbb{R^4}$ and given that they span $\mathbb{R^4}$ find a  basis.

Decimal Places and Significant Figures

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25 marks of questions on manipulating brackets

Calculate the volume of different 3D shapes, given the units and measurements required. The formulae for the volume of each shape are available as steps if required.

Calculate the volume of different 3D shapes, given the units and measurements required. The formulae for the volume of each shape are available as steps if required.

The Assessment is to assess your maths ability at Level 2

Questions about complex arithmetic; argument and modulus of complex numbers; complex roots of polynomials; de Moivre's theorem.