CIE Mathematics Paper-1: Specimen Questions 78 - 80 of 175

Question number: 78

Short Answer Question▾

Write in Short

Solve the equation x+4=3(2x)

Explanation

Here, equation is x+4=3(2x)

x+4=63x

x+3x=64

4x=2

x=12.

Question number: 79

Short Answer Question▾

Write in Short

AB is a chord of a circle, O is center. Angle OAB = 400 . Calculate angle AOB.

A circle with triangle in it

A circle with triangle in it

Find the angle AOB by using given angle and logic

Explanation

Here,

As we can see in the figure AB is chord and O is center, so OA and OB will be radius of the circle.

So, these radiuses will make same angle with points of chord.

So, Angle OAB = 400 , so angle OBA = 400.

Now, in any triangle addition of all angles will give 1800.

So, in AOB, OAB+OBA+AOB=1800

400+400+AOB=1800

AOB=1800800

AOB=1000 .

Question number: 80

Essay Question▾

Describe in Detail

The population of India was 1.252 billion in 2013. It is expected that this population will increase by 30 % by the year 2015. Calculate the expected population in 2015.

Explanation

Here, Population is 1.252billion=1252million . (1 billion = 1000 million)

Expected population will increase by 30%.

So, increment in population will: 1252×30100=375.6million .

So, expected population in 2015 will be 1252+375.6=1627.6million=1.628billion

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