IGCSE Mathematics Paper-1: Specimen Questions with Answers 17 - 20 of 175

Question number: 17

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Essay Question▾

Describe in Detail

The diagram shows a cube of side ‘a’ of 6 cm.

the cube of side in the diagram.

The Cube of Side in the Diagram.

(a) Calculate the area of the cube.

(b) Calculate the volume of the cube in meter.

Explanation

Here, side a = 6 cm.

(a) Area of cube:

(b) Volume of the cube:

Now,

So,

So,

Question number: 18

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Solve

Two triangles made by side splitter theorem

Two Triangles Made by Side Splitter Theorem

In the diagram BC is parallel to DE.

(a) Complete the following statement; Triangle ABC is ________ to triangle ADE.

(b) AB = 12 cm, BC = 8 cm and DE = 10 cm. Find length of AD.

(c) Angle ABC = . Find size of the reflex angle at D.

Explanation

Here,

(a) BC is parallel to DE, which means it is a side splitter theorem.

In which .

So, Triangle ABC is similar to triangle ADE.

(b) AB = 12 cm, BC = 8 cm and DE = 10 cm.

Now,

So, for

For

So, from (I) and (II),

(c) Angle ABC = . So, size of the reflex angle at D is similar to angle ABC because and so both triangles are similar.

So, size of reflex angle at D is

Question number: 19

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Short Answer Question▾

Write in Short

Solve the equations

(a) ,

(b)

Explanation

Here,

(a)

(b)

Question number: 20

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The population of a city is . It is expected that this population will increase by 42 % by the year 2008. Calculate the expected population in 2008.

Explanation

Here, Population is .

Expected population will increase by 42%.

So, increment in population will: .

So, expected population will be

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