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

Number & Algebra

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 (216 in the pool).

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

Exercises

12 of 216 shown

An arithmetic sequence has first term $u_1 = 2$ and common difference $d = 3$ . Find $u_{11}$ .

A geometric sequence has first term $u_1 = 2$ and common ratio $r = 2$ . Find $u_{5}$ .

An arithmetic sequence has $u_1 = 2$ and common difference $d = 3$ . Find the sum of the first 10 terms.

Find the value of $\log_{2} 2 + \log_{2} 4$ .

An infinite geometric series has first term $u_1 = 6$ and common ratio $r = \frac{1}{3}$ . Find the sum of the series.

Find the coefficient of $x^{1}$ in the expansion of $(x + 3)^{4}$ .

An arithmetic sequence has first term $u_1 = 2$ and common difference $d = 9$ . Find $u_{15}$ .

A geometric sequence has first term $u_1 = 3$ and common ratio $r = 2$ . Find $u_{6}$ .

An arithmetic sequence has $u_1 = 3$ and common difference $d = 3$ . Find the sum of the first 12 terms.

10.

Find the value of $\log_{3} 27 + \log_{3} 9$ .

11.

An infinite geometric series has first term $u_1 = 12$ and common ratio $r = \frac{2}{3}$ . Find the sum of the series.

12.

Find the coefficient of $x^{2}$ in the expansion of $(x - 3)^{5}$ .