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

Questions on the subtleties and pitfalls of methods of data collection.

Questions on presenting data in charts or tables.

6 questions on standard statistical distributions.

Binomial, Poisson, Normal, Uniform, Exponential.

A multiple linear regression model of the form:

\[Y=\beta_0+\beta_1X_1+ \beta_2X_2+\beta_3X_3+\beta_4X_4+\epsilon \]

is fitted to some data in Minitab which generates a table showing estimates of the parameters with associated $p$-values. Determine which variable to exclude first.

Given two distributions, calculate the measures of average and spread and make some decisions based on the results.

A multiple linear regression model of the form:

\[Y=\beta_0+\beta_1X_1+ \beta_2X_2+\beta_3X_3+\beta_4X_4+\epsilon \]

is fitted to some data in Minitab which generates a table showing estimates of the parameters with associated $p$-values. Determine which variable to exclude first.

Questions on Kruskal-Wallis and Friedman tests.

Statistics and probability. A question on two factor ANOVA.

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

Find the sum of two 2-dimensional vectors, graphically and exactly using the parallelogram rule.

6 questions on standard statistical distributions.

Binomial, Poisson, Normal, Uniform, Exponential.

Calculate relative frequencies in a variety of scenarios.

A question testing the application of the Cosine Rule when given three side lengths. In this question, the triangle is always acute. A secondary application is finding the area of a triangle.

Two questions testing the application of the Sine Rule when given two sides and an angle. In this question, the triangle is always acute and one of the given side lengths is opposite the given angle.

Questions about the properties of different types of triangles.

This question asks you to identify a point on a graph.

This question asks you to place a point on a number line.

This question allows you to practice plotting points on graphs.

This question allows you to practice placing points on a number line.

This question allows you to practice identifying points on graphs.

This question allows you to practice identifying points on graphs.

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. 

Questions involving various techniques for rearranging and solving quadratic expressions and equations

Show a list of the factors of a number.

Works by testing each number up to $n$ for divisibility by $n$, so won't do well with really big numbers. Certainly fast enough for numbers up to 4 or 5 digits.

Arithmetic operations involving fractions; converting between decimals and fractions; deciding if fractions are equivalent.

Graphs are given with areas underneath them shaded. The student is asked to select or enter the correct integral which calculates its area.

Graphs are given and students are required to match them with their equation.

Three graphs are given with areas underneath them shaded. Student is asked to determine the minimum and maximum $x$-values of the regions. This will involve solving a linear equation and two trigonmetric equations.

Three graphs are given with areas underneath them shaded. The student is asked to calculate their areas, using integration.  Q1 has a polynomial. Q2 has exponentials and fractional functions. Q3 requires solving a trig equation and integration by parts.