IGCSE Mathematics Paper-1: Specimen Questions with Answers 150 - 153 of 324

Question 150

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Short Answer▾

Show the correlation on scatter diagram of application and its size in MB.

Explanation

Here, applications can be of any size, so the correlation can be shown as below:

applications can be of any size, so the correlation can shown

Applications Can be of Any Size, So the Correlation Can Shown

Loading image

So, it shows the Zero correlation because it shows the no gradient.

Question 151

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The scale on a map is 2: 300000. A road is 5.8 centimeters long on the map. Solve for the actual length of the road (in kilometers).

Explanation

Here, meaning of 2: 300000 is 2 cm long road is magnified by 300000 times on the map.

  • So, here 5.8 cm long road on the map can be
  • Now, 100 cm = 1 m, so 174000 cm =?

  • Now, 1000 m = 1 km, so 17400 m =?

  • So, length of road is 17.4 kilometers.

Question 152

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Essay▾

(a) Solve for volume of a cylinder of radius 50 cm and height 138 cm.

(b) Answer in cubic meters.

Explanation

Here,

(a) Formula of Volume of Cylinder, where r = radius, h = height

So, here r = 50 cm and h = 138 cm.

So, Volume

(b) For answer in cubic meters:

So,

Question 153

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On a journey a bus takes 35 minutes to travel the first 10 kilometers. It then travels a further 20 kilometers in the next 40 minutes.

  1. The bus started the journey at 18: 50. At what time did it complete the journey?
  2. Calculate the average speed of the whole journey in (i) kilometers/minute, (ii) kilometers/hour.

Explanation

Here, bus takes 35 minutes to travel the first 10 kilometers then travels a further 20 kilometers in the next 40 minutes.

(a) Bus started the journey at 18: 50.

It takes total

So, it had completed the journey at 18: 50 + 1 hour + 15 minutes = 19: 50 + 15 minutes = 19: 50 + 10 minutes + 5 minutes = 20: 05.

(b) Here total distance =

Total time =

(i) Average speed =

(ii) 60 minutes = 1 hour

75 minutes =? hours

hours

So, average speed =

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