(Q1) Mathematics » Mensuration
AB is a diameter of a circle with centre O. A tangent is drawn at point A. C is a point on the circle such that BC produced meets the tangent at P. If ◺APC = 62°, then find the measure of the minor arc AC.
28º
31º
62º
56º
(Q2) Mathematics » Mensuration
An equilateral triangle ABC is inscribed in a circle with centre O. D is a point on the minor arc BC and ◺CBD = 40°. Find the measure of ◺BCD.
40º
30º
20º
50º
(Q3) Mathematics » Mensuration
A solid cube of side 8 cm is dropped into a rectangular container of length 16 cm, breadth 8 cm and height 15 cm which
is partly filled with water. If the cube is completely submerged, then the rise of water level (in cm) is:
5
2
4
6
(Q4) Mathematics » Mensuration
In a △ ABC, points P, Q and R are taken on AB, BC and CA, respectively, such that BQ = PQ and QC = QR. If ◺BAC = 75°, what is the measure of ◺PQR (in degrees)?
40
30
50
75