HKDSE (Hong Kong) · Mathematics Compulsory Part

Geometry and Trigonometry

6 practice questions, each with the answer and an explanation.

Practise Geometry and Trigonometry now

Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 6 questions

Find the equation of the circle with center $(3, - 2)$ and radius $5$ .
In a cyclic quadrilateral $A B C D$ , $∠ A B C = 10 5^{\circ}$ . What is the measure of $∠ A D C$ ?
In $△ A B C$ , the lengths of sides are $a = 7$ , $b = 8$ , and $c = 9$ . Find the value of $cos C$ .
Find the perpendicular distance from the point $P (2, 3)$ to the straight line $3 x + 4 y - 8 = 0$ .
Solve the trigonometric equation $2 cos^{2} θ - sin θ - 1 = 0$ for $0^{\circ} \leq θ \leq 36 0^{\circ}$ .
A circle $C$ has equation $x^{2} + y^{2} - 4 x - 6 y + 4 = 0$ . Find the equation of the tangent to the circle at the point $P (2, 6)$ .

Keep practising

More HKDSE (Hong Kong) topics

All HKDSE (Hong Kong) practice →

Geometry and Trigonometry in other exams

Ready for the full HKDSE (Hong Kong) test?

Take a mock test HKDSE (Hong Kong) hub