GCSE Math Revision - Measurement Conversions and Calculations
Dive into GCSE math revision focusing on converting between units of measure, understanding metric and imperial conversions, and solving real-world measurement problems. Explore topics such as speed conversions, compound units, and tackling tricky conversion exercises. Prepare for your exam by mastering key concepts and practicing various conversion scenarios.
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GCSE: Units Dr J Frost (jfrost@tiffin.kingston.sch.uk) GCSE Revision Pack Ref: 157, 158, 160 Last modified: 13th April 2015
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
Metric Metric Conversions 1 m = 100 cm 1cm = 10 mm 1 ton = 1000 kg 1 kg = 1000 g 1 ? = 1000 ml 1 ? = 1000 cm3 ? ? ? ? ? ?
Imperial & Metric Tonnes Feet Gallons Litres Metres Pints Miles Inches Pounds kg Miles Stone Metric Imperial Length Mass Capacity
Metric Imperial Conversions You need to memorise these for your GCSE exam! 1 kg 2.2 1 litre 1.75 pints 4.5 litres 1 gallon 8 km 5 miles 30cm 1 ? ? pounds ( means approximately equal to ) ? ? ? foot Test Your Understanding ? ? 30 miles = 48 km 28km = 17.5 miles 480 miles = 768 km 5.4kg = 11.88 pounds 49.69 pints = 28.394 litres 40km = 25 miles 75cm = 2.5 foot ? ? ? ? ?
Memorise Time! 1 kg 2.2 1 litre 1.75 pints 4.5 litres 1 gallon 8 km 5 miles 1 foot 30 cm ? pounds ? ? ? ? 4.5 litres 1 gallon 1 litre 1.75 pints 8 km 5 miles 1 foot 30 cm ? ? ? ? 1 kg 2.2 pounds ?
Converting between compound units 30m/s 65m/s 1000 ? 0.03 km/s ? 3600 ? 108 km/h ? 234 km/h ?
Test Your Understanding 175 m/s 45km/h 630 km/h ? 12.5 m/s ?
Exercises The radius of the Earth is 6371km 5 1 [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. ? a) b) 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 ? How many miles is that? 3982 miles Usain Bolt can run 10.48 m/s. What is that in: a) km/h? 37.728 km/h b) mph? 23.58 mph ? 2 6 hours ? ? 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 ? 6 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 ? 3 The average human consumes about 7.6 pints of cow s milk a day. How many litres is that in a year? 1585.1 litres ? 7 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 ? 8 4 Convert the following: a) 650 km/h 180.6 m/s b) 1 m/s 3.6 km/h ? ?
