# IGCSE Mathematics Paper-1: Specimen Questions with Answers 36 - 37 of 175

## Question number: 36

Essay Question▾

### 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 = .

(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

Short Answer Question▾

### Write in Short

The net of a solid is drawn accurately below.

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.

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