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# Proportion

1. If 3 minibuses can carry 51 students, how many students can 5 minibuses carry?
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2. If 17 textbooks cost £150.45, how much will 28 cost?
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3. If it takes 4 people 28 hours to complete a task, how long would it take just one person?
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4. A person earns £6.20 an hour. How much do they earn for 151/2 hours work?
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5. Wool from 8 sheep is needed to make a scarf. How many are needed to make 12 scarves?
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6. On a map, 2 cm represents 3 km.
1. If two towns are 14 km apart, what is the distance between them on the map?
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2. If two road junctions are 20.3 cm apart on the map, what is their real distance apart?
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7. A herd of 7 cows produces 161 litres of milk a day. Find the smallest number of cows it would take to produce at least 1000 litres per day.
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8. The number of people who have their hearing damaged at a concert is proportional to how loud the music is. 480 people have their hearing damaged when the volume is set at '6'. How many people suffer hearing damage when:
1. the volume is set at '4'?
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2. the volume is set at '7'? Q
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3. the volume is turned up to '11'?
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9. A scientist proposes that rainfall is proportional to latitude. It rains an average of 53.1 cm a year in Milton Keynes, which is at latitude 52.0° N. If the scientist is correct, what is the average rainfall in:
1. Ulverston — latitude 54.2° N?
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2. Boscastle — latitude 50.4° N?
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3. If average daytime temperature in July is inversely proportional to latitude and it's 21.0 °C in Boscastle, what will the average daytime temperature in July be in:
4. Milton Keynes?
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5. Ulverston?
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10. The speed of light is inversely proportional to the 'refractive index' of the material it's travelling through. The speed of light in water is 225 000 km/s. Water has a refractive index of 1.33. What is the speed of light in:
1. Glass which has a refractive index of 1.50?
2. Diamond which has a refractive index of 2.42?
3. A vacuum which has a refractive index of 1.00?