Given some random finite subsets of the natural numbers, perform set operations $\cap,\;\cup$ and complement.

Given some random finite subsets of the natural numbers, perform set operations $\cap,\;\cup$ and complement.

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Find a regression equation.

Now includes a graph of the regression line and another interactive graph gives users the opportunity to move the regression line around. Could be used for allowing users to experiment with what they think the line should be and see how this compares with the calculated line.

Statements about the different kinds of averages where you have to select "always", "sometimes", or "never".

Some impossible-looking questions about quadratic equations which can be solved with a bit of thinking.

Given some random finite subsets of the natural numbers, perform set operations $\cap,\;\cup$ and complement.

Given a graph of some function $f(x)$ (a cubic), the student is asked to write the coordinates of the maximum and minimum points. The student then finds the maximum and minimum points of a second cubic function without using a graph, by finding the derivative, solving the quadratic equation that results from setting the derivative equal to zero, and finally testing the value of the second derivative.

Given a probability mass function $P(X=i)$ with outcomes $i \in \{0,1,2,\ldots 8\}$, find the expectation $E$ and $P(X \gt E)$.

Identifying some of the basic properties (intercepts, asymptotes, quadrants) of a right hyperbola.

Given some random finite subsets of the natural numbers, perform set operations $\cap,\;\cup$ and complement.

Some questions which use JSXGraph to create interactive graphics.

Given a graph of some function f, the student is asked for values of $f$ and its inverse. Function is cubic and invertible.

Some questions which use JSXGraph to create interactive graphics.

Scale a page to some percentage of its original size, then increase/decrease by another percentage. Find the size of the final copy as a percentage of the original.

Based on question 2 from section 3 of the Maths-Aid workbook on numerical reasoning.

(Added a decimal version to advice - and changed increased to enlarged)

Used in non-calculator quiz.

This quiz is designed to help you practise your integration techniques.

Improvements needed:

• Add some definite integrals to Q2
• Use different variables

Given a PDF $f(x)$ on the real line with unknown parameter $t$ and three random observations, find log-likelihood and MLE $\hat{t}$ for $t$. 

Find the magnitude of the momentum of some objects, given mass and speed. Apply the formula $\rho = mv$.

Find the magnitude of the momentum of some objects, given mass and speed. Apply the formula $\rho = mv$.

Scale a page to some percentage of its original size, then increase/decrease by another percentage. Find the size of the final copy as a percentage of the original.

Based on question 2 from section 3 of the Maths-Aid workbook on numerical reasoning.

Identifying some of the basic properties (intercepts, asymptotes, quadrants) of a right hyperbola.

A set of MCQ designed to help Level 2 Engineering students prepare/practice for the on-line GOLA test that is used to assess the C&G 2850, Level 2 Engineering, Unit 202: Engineering Principles.

This quiz asks questions on basic techniques of differentation and some introductory applications.

Given some random finite subsets of the natural numbers, perform set operations $\cap,\;\cup$ and complement.

A graphical approach to aiding students in writing down a formal proof of discontinuity of a function at a given point.

Uses JSXgraph to sketch the graphs and involves some interaction/experimentation by students in finding appropriate intervals.

Some custom CSS restyles the matrix input so it looks like a fraction, with input boxes on top and bottom.

Ideally, there should be a fraction input part type, or an option for the number entry part to display a fraction input.

Some practice collecting like terms of algebraic expressions, with detailed advice.

Some practice collecting like terms of algebraic expressions, with detailed advice.

Adapted from 'Collecting like terms' by Ben Brawn.

Express $\displaystyle \frac{a}{(x+r)(px + b)} + \frac{c}{(x+r)(qx + d)}$ as an algebraic single fraction over a common denominator. The question asks for a solution which has denominator $(x+r)(px+b)(qx+d)$.