A-Level Further Mathematics
Core Pure 1 · Edexcel 9FM0
Complex Numbers
Revision & Exam Pack
Complete specification coverage • Worked examples
Common examiner traps • One-page cheat sheet
Designed for A-Level Further Mathematics students · Edexcel specification
, A-Level Further Maths | Core Pure 1: Complex Numbers Edexcel 9FM0
Specification Map
This pack covers every Complex Numbers learning objective in Edexcel A-Level Further Mathe-
matics Core Pure 1.
Spec Content Section
2.1 Definition of i; real and imaginary parts; arithmetic in x + iy form §1
2.2 Complex conjugates; division of complex numbers §2
2.3 Solving quadratic equations with non-real roots §3
2.4 Roots of cubic and quartic equations with real coefficients §3
2.5 Argand diagrams; geometric interpretation §4
2.6 Modulus and argument; conversion to modulus-argument form §5
2.7 Multiplication and division in modulus-argument form §6
2.8 Loci in the Argand diagram: circles, perpendicular bisectors, half- §7
lines
2.9 Regions defined by complex inequalities §7
Quick Tip
Complex numbers reward geometric thinking. Whenever you’re stuck on an algebraic question,
try sketching it in the Argand diagram — and vice versa. The examiners weight both heavily,
and many “hard” questions become trivial when you switch perspective.
2
Core Pure 1 · Edexcel 9FM0
Complex Numbers
Revision & Exam Pack
Complete specification coverage • Worked examples
Common examiner traps • One-page cheat sheet
Designed for A-Level Further Mathematics students · Edexcel specification
, A-Level Further Maths | Core Pure 1: Complex Numbers Edexcel 9FM0
Specification Map
This pack covers every Complex Numbers learning objective in Edexcel A-Level Further Mathe-
matics Core Pure 1.
Spec Content Section
2.1 Definition of i; real and imaginary parts; arithmetic in x + iy form §1
2.2 Complex conjugates; division of complex numbers §2
2.3 Solving quadratic equations with non-real roots §3
2.4 Roots of cubic and quartic equations with real coefficients §3
2.5 Argand diagrams; geometric interpretation §4
2.6 Modulus and argument; conversion to modulus-argument form §5
2.7 Multiplication and division in modulus-argument form §6
2.8 Loci in the Argand diagram: circles, perpendicular bisectors, half- §7
lines
2.9 Regions defined by complex inequalities §7
Quick Tip
Complex numbers reward geometric thinking. Whenever you’re stuck on an algebraic question,
try sketching it in the Argand diagram — and vice versa. The examiners weight both heavily,
and many “hard” questions become trivial when you switch perspective.
2
