CIE Mathematics Paper-1: Specimen Questions 5 - 7 of 175

Question number: 5

Short Answer Question▾

Write in Short

The bearing of a parking P from the house H is 650 . Find the bearing of H from P.

A parking have some bearing with house

A parking have some bearing with house

Showing a parking of a house with some bearing with the house

Explanation

Here,

The bearing of parking P from the house H is 650 and line HP is straight line which gives angle of 1800 .

So, needed bearing of house from parking will be: 1800650=1150 .

Question number: 6

Essay Question▾

Describe in Detail

(a) Solve volume of a cone of radius 25 cm and height 228 cm.

(b) Answer in cubic meters.

Explanation

Here,

(a) Formula of Volume of Cone V=πr2h3 , where r = radius, h = height

So, here r = 25 cm and h = 228 cm.

So, Volume V=π×(25)2×2283=3.14×625×76=149150cm3

(b) For answer in cubic meters: 1meter=100cm1m3=1003cm31m3=1000000cm3

So, 1000000cm3=1m3

149150cm3=?m3

149150×11000000=0.149m3

Question number: 7

Essay Question▾

Describe in Detail

Caroline has $9 to spend in the market. She buys 2.5 kilogram of Oranges priced at 90 cents per kilogram and 2 watermelons priced at 50 cents each. How much money does she has left?

Explanation

Here, Caroline has $9.

  • She buys 2.5 kilogram of Oranges priced at 90 cents per kilogram.

So, 1kg=90cents

Then 2.5kg=?cents

2.5×90=225cents

  • She also buys 2 watermelons at 50 cents per each price.

So, for 2 watermelons price = 50×2=100cents.

So, she spends total of 225+100=325cents.

Now, 100cents=$1

So, 325cents=?

325×1100=3.25$shespends

So, she has left 93.25=5.75$

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