Last updated on Oct 23, 2026

Modulus (Leaving Cert Mathematics): Quizzes

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Modulus

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What does the modulus of a complex number represent?

Distance to the origin

What is the formula for the modulus of $z=a+bi$ ?

$|z|=\sqrt{a^2+b^2}$

If $z=2+3i$ , what is $|z|$ ?

$\sqrt{13}$

What is the approximate value of $|2+3i|$ ?

$3.61$

If $a$ is a real constant and $z$ is complex, what is $|az|$ ?

$a|z|$

For complex numbers $z$ and $w$ , what is $|zw|$ ?

$|z|\cdot|w|$

How does $|\overline{z}|$ relate to $|z|$ ?

$|\overline{z}|=|z|$

Which modulus property is particularly important?

$|\overline{z}|=|z|$

What does taking the conjugate do geometrically to a complex number?

Flips it over the real axis

If $z=4+3i$ , what is $|z|$ ?

$5$

Explore Leaving Cert Mathematics Revision Notes by Topics

Fundamentals of Complex Numbers

The Basics

Argand Diagrams & Modulus

Solving Equations

DeMoivre's Theorem

Transformations

Explore Leaving Cert Mathematics Model Answers by Topics

Fundamentals of Complex Numbers

The Basics

Argand Diagrams & Modulus

Solving Equations

DeMoivre's Theorem

Transformations

Explore Leaving Cert Mathematics Flashcards by Topics

Fundamentals of Complex Numbers

The Basics

Argand Diagrams & Modulus

Solving Equations

DeMoivre's Theorem

Transformations

Explore Leaving Cert Mathematics Exam Questions by Topics

Fundamentals of Complex Numbers

The Basics

Argand Diagrams & Modulus

Solving Equations

DeMoivre's Theorem

Transformations

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