Complex Numbers (DP IB Maths: AI HL)

Exam Questions

4 hours36 questions

Medium

Hard

Very Hard

2 marks

Consider the complex numbers $z_{1} = 2 + 2 i$ and $z_{2} = 2 + 2 \sqrt{3} i$ .

Sketch $z_{1}$ and $z_{2}$ on the Argand diagram below, be sure to include an appropriate scale.

q1a_1-8_complex-numbers_medium_ib-maths-aa-hl

How did you do?

3 marks

Find the modulus of $z_{1}$ and $z_{2}$ .

How did you do?

3 marks

Find the argument of $z_{1}$ and $z_{2}$ .

How did you do?

Did this page help you?

Complex Numbers (DP IB Maths: AI HL)

Exam Questions

1. Number & Algebra

1.1 Number Toolkit

1.2 Exponentials & Logs

1.3 Sequences & Series

1.4 Financial Applications

1.5 Complex Numbers

1.6 Further Complex Numbers

1.7 Matrices

1.8 Eigenvalues & Eigenvectors

2. Functions

2.1 Linear Functions & Graphs

2.2 Further Functions & Graphs

2.3 Modelling with Functions

2.4 Functions Toolkit

2.5 Transformations of Graphs

2.6 Further Modelling with Functions

3. Geometry & Trigonometry

3.1 Geometry Toolkit

3.2 Geometry of 3D Shapes

3.3 Trigonometry

3.4 Further Trigonometry

3.5 Voronoi Diagrams

3.6 Matrix Transformations

3.7 Vector Properties

3.8 Vector Equations of Lines

3.9 Modelling with Vectors

3.10 Graph Theory

4. Statistics & Probability

4.1 Statistics Toolkit

4.2 Correlation & Regression

4.3 Further Correlation & Regression

4.4 Probability

4.5 Probability Distributions

4.6 Random Variables

4.7 Binomial Distribution

4.8 Normal Distribution

4.9 Further Normal Distribution (inc Central Limit Theorem)

4.10 Poisson Distribution

4.11 Hypothesis Testing

4.12 Further Hypothesis Testing

4.13 Transition Matrices & Markov Chains

5. Calculus

5.1 Differentiation

5.2 Further Differentiation

5.3 Integration

5.4 Further Integration

5.5 Kinematics

5.6 Differential Equations

5.7 Further Differential Equations

6. Extended Questions

6.1 Extended Questions (Paper 2, SL)

6.2 Extended Questions (Paper 2, HL)