IB Math · Topic practice · IB Mathematics AA SL · Unit 3

Geometry & Trigonometry

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 (191 in the pool).

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

Exercises

12 of 191 shown

A circle has radius $3\,$ cm. Find the length of the arc subtended by a central angle of $\frac{1}{6}\pi$ radians.

A cone has radius $4$ cm and height $3$ cm. Find its volume in cm $^3$ , giving the answer as a multiple of $\pi$ .

In triangle $ABC$ , $b = 3$ , $c = 5$ and $\hat{A} = 60^\circ$ . Find $a^2$ .

In triangle $ABC$ , $a = 4$ , $b = 6$ and $\hat{C} = 30^\circ$ . Find the area of the triangle.

Find the exact value of $\sin \frac{\pi}{6}$ .

How many solutions does the equation $2\sin x = 1$ have for $0 \le x < 2\pi$ ?

A circle has radius $6\,$ cm. Find the length of the arc subtended by a central angle of $\frac{5}{6}\pi$ radians.

A cone has radius $8$ cm and height $6$ cm. Find its volume in cm $^3$ , giving the answer as a multiple of $\pi$ .

In triangle $ABC$ , $b = 4$ , $c = 11$ and $\hat{A} = 60^\circ$ . Find $a^2$ .

10.

In triangle $ABC$ , $a = 8$ , $b = 14$ and $\hat{C} = 30^\circ$ . Find the area of the triangle.

11.

Find the exact value of $\cos \frac{\pi}{4}$ .

12.

How many solutions does the equation $\cos x = -1$ have for $0 \le x < 2\pi$ ?