mathcentre

4 questions on using partial fractions to solve indefinite integrals.

Solve a pair of linear equations by writing an equivalent matrix equation.

6 questions on standard statistical distributions.

Binomial, Poisson, Normal, Uniform, Exponential.

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.

Three questions on linear combinations and products of matrices.

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.

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

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.

Questions on linear programming techniques, with interactive graphics.

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

4 questions on integrating by parts.

5 questions on using substitution to find indefinite integrals.

5 questions on indefinite integration. Includes integration by parts and integration by substitution.

Implicit differentiation including finding tangents

4 questions involving hyperbolic functions.

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 $\mod b$.

Find eigenvalues and eigenvectors of a $2 \times 2$ matrix.

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

Testing your ability to manipulate SI units.