Exercises for Question Type 3: For a given complex number, finding the modulus

Question 1

Skill question

Calculate the modulus of $z = 3 + i$ .

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Question 2

Skill question

Find the modulus of $z = 5 + 6 i$ .

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Question 3

Skill question

Compute the modulus of $z = 1 + i$ .

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Question 4

Skill question

Calculate the modulus of $z = - 3 + 4 i$ .

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Question 5

Skill question

Find $∣ z ∣$ for $z = 2 - 2 i$ .

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Question 6

Skill question

Determine the modulus of $z = - 8 + 15 i$ .

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Question 7

Skill question

Find $∣ z ∣$ for $z = - 5 - 12 i$ .

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Question 8

Skill question

Find the modulus of $z = 3 + 4 i$ .

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Question 9

Skill question

Determine the modulus of $z = 7 - 24 i$ .

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Question 10

Skill question

Operations with complex numbers including addition and the calculation of the modulus.

Given $z_{1} = 3 + 4 i$ and $z_{2} = - 1 + 2 i$ , find $∣ z_{1} + z_{2} ∣$ .

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Question 11

Skill question

This question requires students to find the modulus of a complex number given in Cartesian form $z = a + bi$ .

Determine the modulus of $z = 4 + 4 i$ .

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Question 12

Skill question

Compute the modulus of $z = \frac{5}{2} + \frac{3}{2} i$ .

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IB Mathematics Applications & Interpretation Question Type 3: for a Given Complex Number, Finding the Modulus Exercises

IB Mathematics Applications & Interpretation Question Type 3: for a Given Complex Number, Finding the Modulus Exercises