Add/subtract fractions and reduce to lowest form.

Express $\displaystyle \frac{ax+b}{x + c} \pm  \frac{dx+p}{x + q}$ as an algebraic single fraction over a common denominator. 

Find the equation of a straight line which has a given gradient $m$ and passes through the given point $(a,b)$.

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Questions testing understanding of the precedence of operators using BIDMAS. That is, they test Brackets, Indices, Division/Multiplication and Addition/Subtraction.

Solve for $x$: $\displaystyle ax+b = cx+d$

Find $\displaystyle \frac{a} {b + \frac{c}{d}}$ as a single fraction in the form $\displaystyle \frac{p}{q}$ for integers $p$ and $q$.

Solve for $x$: $\displaystyle \frac{s}{ax+b} = \frac{t}{cx+d}$

Solve for $x$: $\displaystyle \frac{a} {bx+c} + d= s$

What is the value of the expression given a choice of n?

Multiplication of  matrices of different sizes.

Cofactors Determinant and inverse of a 3x3 matrix.

Putting a pair of linear equations into matrix notation and then solving by finding the inverse of the coefficient matrix. 

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

aij  notation and definition of the order of a matrix.

Exercises in multiplying matrices. 

Dealing with expressions in online tests and in Matlab.

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

Multiplication of $2 \times 2$ matrices.

Addition, subtraction and multiplication by a scalar for 2 x 2 matrices.

Multiplication of  matrices of different sizes.

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This question will test the ability of test taker to distinguish between solving mean and solving weighted mean problem

This question tests the ability to read and interpret numerical data summarised in a table and make predictions based on algebraic skills.

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Create a truth table for a logical expression of the form $a \operatorname{op} b$ where $a, \;b$ can be the Boolean variables $p,\;q,\;\neg p,\;\neg q$ and $\operatorname{op}$ one of $\lor,\;\land,\;\to$.

Match the equivalence with the rule