**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?

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

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**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?

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

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

a) What was the total actual journey time?

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

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

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

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**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?

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

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**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

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b) He is the only foreigner in his cabin

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

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d) The dad snores

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

a) What is the area of the bed?

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b) How much sleep do you think he got?

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

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**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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