What you need to know
Check yourself against these “I can” statements.
- I can explain what imaginary and complex numbers are
- I can add, subtract, multiply and divide complex numbers
- I can find and use the complex conjugate
- I can solve quadratic equations with complex roots
- I can solve cubic and quartic equations with complex roots
Practise this topic
7 resourcesComplex Numbers Review (Year 1)
Multi-part exam-style questions reviewing the Core Pure 1 complex numbers and Argand diagram chapters, with marks for each part: Cartesian form and equations (z and z*, a real parameter), polynomials with complex roots (cubics…
⚙️ WorksheetComplex Numbers: Cartesian Form
Multiplying and powers of i (square roots of negative numbers), conjugates and division, quadratics with real coefficients, equating real and imaginary parts, equations with z and z*, cubics and quartics with a complex root, then…
🎯 GameComplex Countdown
Countdown with complex numbers in three modes: a + bi (real, imaginary and complex tiles with + − × ÷), modulus–argument (tiles and target in exponential form reⁱᶿ, multiplying and dividing by combining moduli and arguments), and…
🧩 ConnectionsComplex Equations
Four equations (a = b × c, a = b ÷ c, a = b + c, a = b − c), their four answers and eight complex numbers in a + bi or modulus-argument form: group each equation with its answer and the two numbers that make it true.
🧩 ConnectionsComplex Forms
Each group is one complex number as modulus-argument form (argument outside −π to π), a + bi, a calculation and a fraction to rationalise. From Standard the numbers are z, its conjugate, −z and iz.
🧩 ConnectionsComplex Numbers
Each group is one complex number written four ways: Cartesian, conjugate, modulus-argument, a sum, a product, a quotient, a power, or a root of a quadratic.
⬢ BlockbustersComplex Numbers: Cartesian Form Blockbusters
Blockbusters with the questions from the Complex Numbers: Cartesian Form worksheet: choose its levels for the ordinary hexagons and for the harder ★ ones. Show the answer and the worked solution, or play against the computer with…
These are the pages for Complex numbers in the A Level Further Maths scheme of work, following Pearson Edexcel A Level Further Mathematics (9FM0). Open this topic in Mr Wells Maths to see it alongside the rest of the course.