CIE Mathematics Paper-1: Specimen Questions 151 - 153 of 175
Question number: 151
Write in Short
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).
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 number: 152
Describe in Detail
(a) Solve for volume of a cylinder of radius 50 cm and height 138 cm.
(b) Answer in cubic meters.
(a) Formula of Volume of Cylinder , where r = radius, h = height
So, here r = 50 cm and h = 138 cm.
(b) For answer in cubic meters:
Question number: 153
Write in Short
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.
- The bus started the journey at 18: 50. At what time did it complete the journey?
- Calculate the average speed of the whole journey in
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
So, average speed =