Unit 2: Section 1 - Standard Form With Negative Indices Examples And Worksheets Page 8
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149 In one of the strongest hurricanes to sweep across South America, 63 cm of rain
fell in 6 hours.
a Find the amount of rain that fell in millimetres per hour.
b Find the amount of rain that fell per minute.
10 At blast off, the US Saturn rocket uses 104.5 tonnes of fuel in 9.5 s.
a Find the amount of fuel used per second.
b Find the amount of fuel used per minute.
11 A military jet uses 3000 litres of fuel on a 45-minute flight.
a For how long would it travel using 1 litre?
b How many litres does it use in 1 minute?
12 A spacecraft travelled 22 billion miles between 1977 and 1999.
a Find, correct to 3 significant figures, its speed in miles per day.
b Find, correct to 3 significant figures, its speed in miles per hour.
Exercise XX*
1 6 Hong Kong dollars can be exchanged for 80 Japanese yen.
a How many dollars can be exchanged for 200 yen?
b How many yen can be exchanged for 200 dollars?
2 When 18 g of peanuts are burned, 390 kJ (kilojoules) of energy are produced.
a How much energy is produced if 24 g of peanuts are burned?
b How many grams of peanuts must be burned to produce 130 kJ?
3 Red blood cells are replaced by the bone marrow at the rate of 8.28 3 10
9
per hour.
How many are replaced per second?
4 There are 25 3 10
11
red blood cells in the human body. Suppose that the total mass of red
blood cells is 2.5 kg and the total volume is 2.75 litres.
a Find the number of cells in 1 g.
b Find the density of red blood cells in grams per cubic centimetre.
(Give your answer as a fraction.)
5 In its 12 years of life, it is estimated that a bird called the chimney swift flies 1.25 million
miles and can sleep while flying.
Approximately how far would you expect it to fly in 1 hour?
6 It is estimated that by the age of 18, the average American child has seen 350 000
commercials on television. How many is this per day, approximately?
7 At full speed, the cruise ship QE 2 uses 40 000 litres of fuel in 55 minutes.
a Find the time, in seconds, taken to use 1 m
3
of fuel.
b Find the fuel consumption in litres per second.
8 A supersonic aircraft uses 12 000 litres of fuel every 25 minutes.
a Find the time, in seconds, taken to use 1 m
3
.
b Find the fuel consumption in litres per second.
9 Air bags in a car ‘explode’ at 340 km/h.
a Convert this to metres per second.
b How long would the air bag take to move 10 cm?
Give your answer to the nearest thousandth of a second.
10 In Portuguese (standard of Lisbon) wine measures, 1 quartilo 5 397 ml and
1 almude 5 48 quartilos. Convert 1000 litres into almudes.
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