CIE Mathematics Paper-1: Specimen Questions 100 - 102 of 175

Question number: 100

Short Answer Question▾

Write in Short

Solve 2a2+4(a2a)3(a+1).

Explanation

Here, equation is 2a2+4(a2a)3(a+1).

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

2a2+4a24a3a3.

  • Now, simplify as: 6a27a3 .

Question number: 101

Essay Question▾

Describe in Detail

Urvi and Utsavi buy a bottle of cold drink of Rs. 90. They drink cold drink in the ratio 6:9 . How will they divide the money?

Explanation

Here, Total money is Rs.90.

Ratio of Urvi and Utsavi’s drinking of cold drink is 6:9 . So, total is 6+9=15.

So, Urvi drinks 615 and Utsavi drinks 915 of cold drink.

So, Urvi will pay 615×90=36Rs. and Utsavi will pay 915×90=54Rs .

Question number: 102

Essay Question▾

Describe in Detail

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 = 450 . 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 ABBC=AEED .

So, Triangle ABE is similar to triangle ACD.

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

Now, AEB=450ADC=450(BECD)

Now as per side splitting formula: ABBC=AEED510=8EDED=8×105=16cm

(c) Angle AEB = 450 . So, size of the reflex angle at D is similar to angle AEB because BECD and so both triangles are similar.

So, size of reflex angle at D is 450.

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