CIE Mathematics Paper-1: Specimen Questions 36 - 37 of 175
Question number: 36
Describe in Detail
In the diagram, AB is a diameter of the circle, center O. DBE is the tangent at the point B. The line DCA cuts the circle at C. Angle BAC = .
Geometrical image showing angle DAB
Find the below given angles by using triangular formulas
(a) Write down the size of angle ACB.
(b) Calculate the size of angle CBA.
(c) Calculate the size of angle ADB.
Explanation
Here,
(a) Angle BAC = is given,
- As we know, the triangle formed by the diameter and the inscribed angle (triangle ABC above) is always a right triangle.
- So, angle ACB =
(b) Now, in triangle ABC,
(c) In triangle ABD,
So,
Question number: 37
Write in Short
The net of a solid is drawn accurately below.
Six squares making a solid
Find below mentioned names of squares and solid
Write down the special name for
(a) The squares shown on the net,
(b) The solid.
Explanation
Here,
(a) The squares shown on the net are equal squares, which have equal lengths of edges.
(b) The solid of net image will called as cube.
- A cube is made by four equal squares which have six faces, eight vertices and twelve edges.