IB Math · Topic practice · IB Mathematics AA HL · Unit 1

Number & Algebra (AHL)

A mixed exercise set, like a textbook: every problem type this unit covers, shuffled together and getting harder as you go. Work on paper, reveal to check — and hit on any problem for the same kind with new numbers (201 in the pool).

Practice set — quiz with instant feedback and retries.Review the lessons for this unit first.

Exercises

12 of 201 shown

Find $|z|$ for $z = 3 + 4i$ .

A quadratic with REAL coefficients has $-6 + i$ as one root. What is the other?

Let $z = (2 + 3i)(1 + 2i)$ . Find $\mathrm{Re}(z)$ .

Find the coefficient of $x^{2}$ in the expansion of $(1 + 2x)^{3}$ .

Find the principal argument of $z = 1 + i$ , where $-\pi < \arg z \le \pi$ .

A committee of $2$ people is to be chosen from a group of $7$ . In how many ways can this be done?

Find $|z|$ for $z = 9 - 12i$ .

A quadratic with REAL coefficients has $-4 + 2i$ as one root. What is the other?

Let $z = (3 + i)(1 + 2i)$ . Find $\mathrm{Re}(z)$ .

10.

Find the coefficient of $x^{2}$ in the expansion of $(1 + 3x)^{6}$ .

11.

Find the principal argument of $z = -1 + \sqrt{3}i$ , where $-\pi < \arg z \le \pi$ .

12.

A committee of $4$ people is to be chosen from a group of $9$ . In how many ways can this be done?