# IGCSE Mathematics Paper-1: Specimen Questions with Answers 100 - 102 of 175

## Question number: 100

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Solve

### Explanation

Here, equation is

• So, now multiply 4 with the terms inside the brackets:

• Now, simplify as: .

## Question number: 101

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Essay Question▾

### Describe in Detail

Urvi and Utsavi buy a bottle of cold drink of Rs. 90. They drink cold drink in the ratio . How will they divide the money?

### Explanation

Here, Total money is

Ratio of Urvi and Utsavi’s drinking of cold drink is . So, total is

So, Urvi drinks and Utsavi drinks of cold drink.

So, Urvi will pay and Utsavi will pay .

## Question number: 102

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Essay Question▾

### Describe in Detail

Solve

In the diagram BE is parallel to CD.

(a) Complete the following statement: Triangle ABE is ________ to triangle ACD.

(b) AB = 5 cm, BC = 10 cm and AE = 8 cm. Find length of ED.

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

### Explanation

Here,

(a) BE is parallel to CD, which means it is a side splitter theorem.

In which formula is .

So, Triangle ABE is similar to triangle ACD.

(b) AB = 5 cm, BC = 10 cm and AE = 8 cm.

Now,

Now as per side splitting formula:

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

So, size of reflex angle at D is

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