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

Question number: 100

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Short Answer Question▾

Write in Short

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▾

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Solve

One triangle made another triangle in it

One Triangle Made Another Triangle in It

Find the below given calculations using given lengths and angles

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