This question provides practice at adding, subtracting, dividing and multiplying complex numbers in rectangular form.

Calculating complex numbers raised to an natural number exponent

Calculating the square root of a complex number using De Moivre.

Calculate the cube roots of a complex number using De Moivre.

Calculating the square root of a complex number using De Moivre.

Calculating complex numbers raised to an natural number exponent

modulus & argument of a complex number

Complex number multiplication & division

Show one of several blocks of text depending on the value of a question variable.

As well as a simple check for the value of a variable, the condition to display a block of text can be a complex expression in any of the question variables - in this example, depending on the discriminant of the generated quadratic.

Show one of several blocks of text depending on the value of a question variable.

As well as a simple check for the value of a variable, the condition to display a block of text can be a complex expression in any of the question variables - in this example, depending on the discriminant of the generated quadratic.

Find modulus and argument of the complex number $z_1$ and find the $n$th roots of $z_1$ where $n=5,\;6$ or $7$.

Questions about complex arithmetic; argument and modulus of complex numbers; 

Denis's copy of Nick's copy of Henrik Skov's copy of Complex numbers

This question provides practice at adding, subtracting, dividing and multiplying complex numbers in rectangular form.

No description given

Finding the modulus of four complex numbers; includes finding the modulus of a product, a power and a quotient. By Newcastle University

Questions about complex arithmetic; argument and modulus of complex numbers; complex roots of polynomials; de Moivre's theorem.

Basic algebra.  The intention is to help students generalise a rule\pattern from 3 questions of increasing complexity.

Basic algebra.  The intention is to help students generalise a rule\pattern from 3 questions of increasing complexity.

Basic algebra.  The intention is to help students generalise a rule\pattern from 3 questions of increasing complexity.

Basic algebra.  The intention is to help students generalise a rule\pattern from 3 questions of increasing complexity.

Questions about complex arithmetic; argument and modulus of complex numbers; complex roots of polynomials; de Moivre's theorem.

Questions about complex arithmetic; argument and modulus of complex numbers; complex roots of polynomials; de Moivre's theorem.

Four questions, of increasing complexity, involving addition of decimals.  These should all be solvable without using a calculator.

Four questions, of increasing complexity, invoving multiplication.  These should all be solvable without using a calculator.

Four questions, of increasing complexity, involving long division.  These should be solvable without using a calculator.

4 questions, of increasing complexity, on subtracting decimals.

Basic algebra.  The intention is to help students generalise a rule\pattern from 3 questions of increasing complexity.

Basic algebra.  The intention is to help students generalise a rule\pattern from 3 questions of increasing complexity.

Basic algebra.  The intention is to help students generalise a rule\pattern from 3 questions of increasing complexity.

Basic algebra.  The intention is to help students generalise a rule\pattern from 3 questions of increasing complexity.