Saturday, 6 November 2010

The Long Hue Round




GCSE MATHEMATICS
30 minutes
Answer ALL questions

Write your answers in the spaces provided
Do NOT use a calculator




PART I


1. Hue is 540 kilometres from Hanoi, but by rail the distance is 688 kilometres.

a) How much further is it by rail than as the crow flies?

 ............................................................

b) How long do you think it should take by train?

 ............................................................


2. A train leaves Hanoi at 23:00 and is due to arrive in Hue at 10:44 the next morning.

a) What is the total scheduled journey time?

 ............................................................

b) What is the scheduled average speed of the train, not allowing for any stops?

 ............................................................


3. The train arrives at Hue Station at 13:28 the following afternoon.

a) What was the total actual journey time?

 ............................................................

b) How much longer than the scheduled journey time is this?

 ............................................................

c) What is the additional time expressed as a fraction of the scheduled journey time?

 ............................................................

d) What is the actual average speed for this journey, not allowing for stops?

 ............................................................



PART II


1. The train has 8 sleeper cars, each with 6 cabins. 7 of these are 4-berth, 1 is 6.

a) What is the capacity of the train?

 ............................................................

b) Express the number of bottom berths as a fraction of the total berths.

 ............................................................


2. 60% of the passengers are Vietnamese and 40% are foreigners. An Englishman buys a single ticket for himself, travelling alone. Express as a percentage the probability of the following:

a) He gets shafted with a top bunk

 ............................................................

b) He is the only foreigner in his cabin

 ............................................................

c) A family of 4 Vietnamese people are sharing the other 3 berths

 ............................................................

d) The dad snores

 ............................................................


3. Each bed measures 180cm x 40cm. The Englishman is 185cm tall and weighs 90kg.

a) What is the area of the bed?

 ............................................................

b) How much sleep do you think he got?

 ............................................................

c) Are you sure? What time do you think the Vietnamese people woke up at?

 ............................................................



PART III

1. Next time the Englishman travels in Vietnam, which of the following modes of transport might he employ?

a) Train

b) Unicycle

c) Crawl on hands and knees through broken glass

d) Aeroplane



End of Test

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