Multiplication and addition of complex numbers. Four parts.

This question tests the student's ability to identify the factors of some composite numbers and the highest common factors of two numbers. 

Use the rule $\log_a(n^b) = b\log_a(n)$ to rearrange some expressions.

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

Inverse and division of complex numbers.  Four parts.

Multiplication and addition of complex numbers. Four parts.

Inverse and division of complex numbers.  Four parts.

Multiplication and addition of complex numbers. Four parts.

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

Identifying some of the basic properties (intercepts, asymptotes, quadrants) of a rational function (quadratic over linear)

25 marks worth of questions on rearranging (n.b. assumes quadratics in some places)

This question is designed to give you some practice with cancelling down and multiplying up fractions.

You do not need a calculator for these.

This question tests a student's ability to divide one fraction by another (at least one of the numerators will be negative).

This question tests a student's ability to multiply two fractions. Some of the numerators or denominators will be negative.

This question tests a student's ability subtract one fraction from another with different denominators (at least one of them is negative).

This question tests a student's ability to add two fractions with different denominators (at least one of them is negative).

This question tests a student's ability to subtract one fraction from another with the same denominator. There is at least one negative numerator.

This question tests a student's ability to add two fractions with the same denominator. There is at least one negative numerator.

Some questions which use JSXGraph to create interactive graphics.

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.

This question tests a student's ability to multiply two fractions. Some of the numerators or denominators will be negative.

This question tests a student's ability to subtract one fraction from another with the same denominator. There is at least one negative numerator.

This question tests a student's ability to add two fractions with the same denominator. There is at least one negative numerator.

This question tests a student's ability to add two fractions with different denominators (at least one of them is negative).

This question tests a student's ability subtract one fraction from another with different denominators (at least one of them is negative).

This question tests a student's ability to divide one fraction by another (at least one of the numerators will be negative).

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.

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