Adding stuff

Integers in bases from 2 to 9 and converting them to base 10.

Reducing fractions to their lowest form by cancelling common factors in the numerator and denominator. There are 4 questions. 

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

Simple questions on interval notation. If you are not randomising the order of your questions please turn on randomise choices in these questions.

Simple questions on interval notation. If you are not randomising the order of your questions please turn on randomise choices in these questions.

Simple questions on interval notation. If you are not randomising the order of your questions please turn on randomise choices in these questions.

Simple questions on interval notation. If you are not randomising the order of your questions please turn on randomise choices in these questions.

Simple questions on interval notation. If you are not randomising the order of your questions please turn on randomise choices in these questions.

A method of randomly choosing variable names - use the expression() JME function to create a variable name from a randomly chosen string.

(This question also uses a custom marking script to check that the student has simplified the expression)

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

A selection of questions which use the "random person" extension to randomise the names of people in the question text.

Simple examples combining functions

Demonstrates how to create variables containing LaTeX commands, and how to use them in the question text.

Some clever variable-substitution trickery to randomly pick two sides of a right-angled triangle to give to a student, and ask for the other.

The sides are set up so they're always Pythagorean triples, and the opposite side is always odd.

As ever, most of the tricky stuff is in the advice. 

Because this was created quickly to show how to set up the randomisation, there's no diagram. It would benefit greatly from a diagram.

Some clever variable-substitution trickery to randomly pick two sides of a right-angled triangle to give to a student, and ask for the other.

The sides are set up so they're always Pythagorean triples, and the opposite side is always odd.

As ever, most of the tricky stuff is in the advice. 

Because this was created quickly to show how to set up the randomisation, there's no diagram. It would benefit greatly from a diagram.

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.

Construct a line through two points in a GeoGebra worksheet. Change the line by setting the positions of the two points when the worksheet is embedded into the question.

Given $f(x)=(x+b)^n$. Find the gradient and equation of the chord between $(a,f(a))$ and $(a+h,f(a+h))$ for randomised values of $a$, $b$ and $h$.

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.

Round random numbers to the closest whole number, 1 to 3 decimals places. Also rounding that could show common misunderstandings.

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.

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

Round random numbers to the closest whole number, 1 to 3 decimals places. Also rounding that could show common misunderstandings.

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.

Multiple choice questions. Given randomised trig functions select the possible ways of writing the domain of the function.

A method of randomly choosing variable names - use the expression() JME function to create a variable name from a randomly chosen string.

(This question also uses a custom marking script to check that the student has simplified the expression)

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

A method of randomly choosing variable names - use the expression() JME function to create a variable name from a randomly chosen string.

(This question also uses a custom marking script to check that the student has simplified the expression)