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**Dr J Frost (jfrost@tiffin.kingston.sch.uk)**

GCSE: Units Dr J Frost GCSE Revision Pack Ref: 157, 158, 160 Last modified: 13th April 2015

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GCSE Specification (Using revision pack reference numbers) 157. Convert between units of measure in the same system. (NB: Conversion between imperial units will be given, metric equivalents should be known.) 158. Know rough metric equivalents of pounds, feet, miles, pints and gallons: Metric/Imperial Convert between imperial and metric measures 160. Convert between metric units of speed eg km/h to m/s

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**1 m = 100 cm 1cm = 10 mm 1 ton = 1000 kg 1 kg = 1000 g 1 𝑙 = 1000 ml**

Metric ↔ Metric Conversions 1 m = 100 cm 1cm = 10 mm 1 ton = 1000 kg 1 kg = 1000 g 1 𝑙 = 1000 ml 1 𝑙 = 1000 cm3 ? ? ? ? ? ?

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**Imperial & Metric Metric Imperial Length Mass Capacity Feet Tonnes**

Litres Gallons Metres Pints Inches Miles Pounds kg Miles Stone Metric Imperial Length Mass Capacity

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**Metric ↔ Imperial Conversions**

You need to memorise these for your GCSE exam! 1 kg ≈ pounds (≈ means ‘approximately equal to’) 1 litre ≈ pints 4.5 litres ≈ gallon 8 km ≈ miles 30cm ≈ foot ? ? ? ? ? Test Your Understanding 5.4kg = pounds 49.69 pints = litres 40km = miles 75cm = foot ? 30 miles = km 28km = miles 480 miles = km ? ? ? ? ? ?

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**Memorise Time! ? ? ? ? ? ? ? ? ? ? 1 kg ≈ 2.2 pounds**

1 litre ≈ pints 4.5 litres ≈ gallon 8 km ≈ miles 1 foot ≈ cm ? ? ? ? ? 4.5 litres ≈ gallon 1 litre ≈ pints 8 km ≈ miles 1 foot ≈ cm 1 kg ≈ pounds ? ? ? ? ?

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**Converting between compound units**

30m/s 65m/s 1000 ? 0.03 km/s ? × 3600 ? 108 km/h 234 km/h ? ?

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**Test Your Understanding**

175 m/s 45km/h 630 km/h 12.5 m/s ? ?

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Exercises The radius of the Earth is 6371km How many miles is that? 3982 miles London and Auckland are at exact opposites of the Earth. If I fly at 450mph, how many hours will it take to get there? 27.8 hours Usain Bolt can run m/s. What is that in: km/h? km/h mph? mph Pippin the cat weighs 9.2 pounds. I want to enter Pippin along with cats of the same weight into Crufts. My total weight limits is 1 ton of cat. How many cats can I take? 239 cats Convert the following: 650 km/h → m/s 1 m/s → km/h 1 5 [Edexcel] Emily is driving in France. She sees this sign. Emily is going to drive to Dijon. She plans to drive at an average speed of 50 miles per hour. Work out how long it should take Emily to drive to Dijon. To experiment to see if cats land on their feet, I release Pippin upside down at the top of a 6000 foot drop. What is that in km? 1.8km The average human consumes about 7.6 pints of cow’s milk a day. How many litres is that in a year? litres If my Ferrari consumes 6 gallons of petrol each hour and my Aston 8 gallons each hour, what is the difference in time in seconds, between the two cars, to consume a litre of petrol? 33.3 seconds ? ? 2 ? 6 hours ? ? 6 3 ? 7 ? ? 4 8 ? ? ?

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