Find $\displaystyle\int \frac{ax+b}{(x+c)(x+d)}\;dx,\;a\neq 0,\;c \neq d $.

Solving a system of three linear equations in 3 unknowns using Gauss Elimination in 4 stages. Solutions are all integral.

Questions on linear programming techniques, with interactive graphics.

Statistics and probability. 2 questions. Both simple regression. First with 8 data points, second with 10. Find $a$ and $b$ such that $Y=a+bX$. Then find the residual value for one of the data points.

Three questions on linear combinations and products of matrices.

Find the inverses of three $2 \times 2$ invertible matrices.

5 questions on finding local and global maxima and minima on compact intervals and on the real line for differentiable functions.

4 questions. Qualitative, quantitative random variables, types of sampling, frequencies, stem and leaf plot, descriptive statistics.

Find the modulus and argument of complex numbers.

Questions about percentage and ratio, applied to finance.

Based on section 3.2 of the Maths-Aid workbook on numerical reasoning.

6 questions on numerical reasoning using percentages and ratios.

Three questions on parametric hypothesis testing and confidence intervals, aimed at psychology students.

3 questions on probability density functions - find the probability density function of a distribution, and apply it.

6 questions on standard statistical distributions.

Binomial, Poisson, Normal, Uniform, Exponential.

Use a probability mass function; determine if a given function is a probability mass function; find the probability mass function of a discrete distribution and use it.

Rearrange equations to make $x$ the subject.

3 questions. One question on limits of standard sequences. Other two on finding least $N$ such that $|a_n-L |\lt 10^{-r},\;\;n \geq N$ where $L$ is limit of $(a_n)$.

Two questions on solving systems of simultaneous equations.

Substitute a given value into a formula, and substitute an expression in terms of $x$ into a formula.

3 questions. Finding the stationary points of functions of 2 variables.

Partial differentiation.

Statistics and probability. Questions asking student to calculate and interpret Pearson and Spearman correlation coefficients.

5 questions on definite integrals - integrate polynomials, trig functions and exponentials; find the area under a graph; find volumes of revolution.

Find the determinants of three $2 \times 2$ invertible matrices.

Mini-test on diluting solutions.

Testing your ability to manipulate SI units.

5 questions on vectors. Scalar product, angle between vectors, cross product, when are vectors perpendicular, combinations of vectors defined or not.

Find eigenvalues and eigenvectors of a $2 \times 2$ 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 $\mod b$.

4 questions involving hyperbolic functions.

Implicit differentiation including finding tangents