Addition, multiplication and division of fractions.

Using a given list of four complex numbers, find by inspection the one that is a root of a given cubic real polynomial and hence find the other roots.

Cofactors Determinant and inverse of a 3x3 matrix.

Template question.  Multiple choice. 

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

A test of basic concepts to do with SI units and concentrations of solutions.

No description given

Multiple response question (3 correct out of 6) re properties of convergent and divergent sequences. Selection of questions from a pool.

Find mean, SD, median and IQR for a sample.

This question concerns the evaluation of the eigenvalues and corresponding eigenvectors of a 2x2 matrix.

Given two numbers, find the gcd, then use Bézout's algorithm to find $s$ and $t$ such that $as+bt=\operatorname{gcd}(a,b)$.

Finally, find all solutions of an equation $\mod b$.

Given two numbers, find the gcd, then use Bézout's algorithm to find $s$ and $t$ such that $as+bt=\operatorname{gcd}(a,b)$.

Finally, find all solutions of an equation $\mod b$.

No description given

Integrate $f(x) = ae ^ {bx} + c\sin(dx) + px^q$. Must input $C$ as the constant of integration.

Integration techniques for monomials and simple polynomials.

A graph (of a cubic) is given. The question is to determine the number of roots and number of stationary points the graph has. Non-calculator. Advice is given.

Apply the quadratic formula to find the roots of a given equation. The quadratic formula is given in the steps if the student requires it.

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

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

Solve a system of three simultaneous linear equations

No description given

Multiplication of $2 \times 2$ matrices.

Solve a quadratic equation by completing the square. The roots are not pretty!

Testing factorisation of quadratics.

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

Calculate and work with measures of central tendency such as mean, median and mode, and measures of spread such as range and standard deviation.

This question tests the student's ability to solve simple linear equations by elimination. Part a) involves only having to manipulate one equation in order to solve, and part b) involves having to manipulate both equations in order to solve. 

This question tests the student's ability to solve simple linear equations by elimination. Part a) involves only having to manipulate one equation in order to solve, and part b) involves having to manipulate both equations in order to solve.