IGCSE Mathematics Paper-1: Specimen Questions with Answers 105 - 108 of 175

Question number: 105

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Write down the value of x.

Explanation

Here,

, so here, we need same fraction in right side as left side.

So,

Question number: 106

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Solve the equation

Explanation

Here, equation is

Question number: 107

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The diagram shows a regular octagon and a rectangle. Calculate the values of .

A regular octagon and a rectangle

A Regular Octagon and a Rectangle

Find the angles a0and b0 by using the theory of regular octagon and rectangle

Explanation

Here, octagon is regular.

So, we can find it’s exterior angle by using the formula , where n = number of sides.

In octagon number of sides = 8, so exterior angle =

So, as shown in figure, its interior angle .

Now, for angle :

(I) As shown in figure:

OR

(II) As shown in figure, total angle is , so

Question number: 108

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Choose from the symbols to complete the following statements.

(a)

(b)

Explanation

Here,

(a) First statement is

  • So, and . So, .
  • So,

(b) Second statement is .

  • So,
  • So,