CIE Mathematics Paper-1: Specimen Questions 103 - 104 of 175

Question number: 103

Short Answer Question▾

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Mention multiple of 9 and 27, which is less than 33.

Explanation

here,

  • Multiples of 9 and 27 are 3×3=9and3×3×3=27
  • So, List Common Multiple will be 3×3×3=27.
  • So, 27 is multiple of both 9 and 27 which is less than 33.

Question number: 104

Short Answer Question▾

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Assume, the time in Switzerland is 3 hours ahead of California.

(a) If it is 22: 15 on Sunday in California, what time on Monday is it in Switzerland?

(b) An aircraft leaves California at 22: 15 on Sunday and arrives in Switzerland on Monday at 08: 45 local time.

(i) How long did the journey take?

(ii) Assume, the distance from California to Switzerland is 5951 km. calculate the average speed of the aircraft.

Explanation

Here, The time in Switzerland is 3 hours ahead of California: Switzerland=California+3hours

(a) If it is 22: 15 on Sunday in California, then the time in Switzerland will be: Switzerland=22:15+3=24:15

That means on Monday it will be: 01:15am

(b) An aircraft leaves California at 22: 15 on Sunday and arrives in Switzerland on Monday at 08: 45 local time.

(i) For the duration of the journey:

As calculate in (a), in Switzerland time will be 01: 15 (Monday) when 22: 15 (Sunday) in California.

Now, flight reaches at Switzerland at 8: 45,

So, journey will be of 8:4501:15=7:30means7hoursand30minutes .

(ii) The distance from California to Switzerland is 5951 km and taken time is 7: 30 = 7.5 hours = 450 minutes

So, Average speed = 59517.5=793.47kmh=793.47×10003600ms=220.41ms

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