Grade DE Convert Standard Units Convert standard compound

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Grade D/E Convert Standard Units Convert standard compound units (e. g. speed, rates of

Grade D/E Convert Standard Units Convert standard compound units (e. g. speed, rates of pay, prices, density, pressure) in numerical contexts If you have any questions regarding these resources or come across any errors, please contact helpful-report@pixl. org. uk

Key Vocabulary Convert Compound units Numerical Speed Density Surface area Length Mass Volume Pressure

Key Vocabulary Convert Compound units Numerical Speed Density Surface area Length Mass Volume Pressure Weight Exert Newton's Metric Imperial

How to Convert standard compound units a) Convert 2041 centilitres into litres 2041 ÷

How to Convert standard compound units a) Convert 2041 centilitres into litres 2041 ÷ 100 = 20. 41 litres b) Convert 4515 seconds into hours and minutes 4515 ÷ 3600 = 1. 25 hours -> 1 hour 15 minutes c) Convert 6. 75 kg into grams 6. 75 x 1000 = 6750 grams

How to Convert standard compound units a) Convert 12 gallons into litres 12 x

How to Convert standard compound units a) Convert 12 gallons into litres 12 x 4. 5 = 54 litres Remember… 1 gallon = 4. 5 litres b) Convert 7 litres into gallons 7 ÷ 4. 5 = 1. 56 litres c) Convert 1. 7 metres into km 1. 7 x 1000 = 17000 km d) Convert 38490 millimetres into metres 38490 ÷ 1000 = 38. 49 m

How to Convert standard compound units The maximum speed of a train is 360

How to Convert standard compound units The maximum speed of a train is 360 km/h. What is this speed in m/s? We need to convert km into m by multiplying by 1000 The calculation we do is 360 x 1000/3600 = 100 m/s 360 km/h We need to convert hours into secs by multiplying by 3600 BUT…remember that we actually divide by 3600 here as its per second

How to Convert standard compound units – Now you try … 1) Alex drove

How to Convert standard compound units – Now you try … 1) Alex drove a distance of 580 km. He took 4 hours 45 minutes. Work out his average speed in km/h. 2) Sarah weighs 8 stones and 10 pounds. What is Sarah’s weight in kilograms?

How to Convert standard compound units – Now you try … 1) Alex drove

How to Convert standard compound units – Now you try … 1) Alex drove a distance of 580 km. He took 4 hours 45 minutes. Work out his average speed in km/h. First convert 4 hrs 45 min into hours; 4 hrs + 45/60 hrs = 4. 75 hrs Using speed = distance/time 580/4. 75 = 122 km/h 2) Sarah weighs 8 stones and 10 pounds. What is Sarah’s weight in kilograms? First, convert 8 stones 10 pounds into pounds (8 x 14) + 10 = 122 pounds Then, convert 122 pounds into kilograms 122 ÷ 2. 2 = 55. 5 kg 1 st = 14 pounds 1 kg = 2. 2 pounds

Problem Solving and Reasoning The density of a cube in kg/m 3 is equal

Problem Solving and Reasoning The density of a cube in kg/m 3 is equal to its surface area in cm 2. Given that the edge of the cube has a length of 16 cm, calculate its mass. Give your answer to three significant figures. Surface area = Mass Volume As the density (kg/m 3) = surface area (cm 2)

Problem Solving and Reasoning The density of a cube in kg/m 3 is equal

Problem Solving and Reasoning The density of a cube in kg/m 3 is equal to its surface area in cm 2. Given that the edge of the cube has a length of 16 cm, calculate its mass. Give your answer to three significant figures. Surface = Mass area Volume Rearrange the equation to make mass the subject Using our formulas for a cube; Volume = (length of one edge)3 (0. 16)3 x 6 x (16)2 = 6. 29 kg Surface area = 6 x (length of one edge)2

Reason and explain 1) a) Write the formula to calculate pressure b) Calculate the

Reason and explain 1) a) Write the formula to calculate pressure b) Calculate the pressure exerted on the ground when a brick of weight 20 Newtons is resting on a face of an area 0. 321 m 2. Give your answer to (3. s. f). 2) Which is heavier a tonne of bricks or a tonne of feathers? 3) In your own words, how do you convert between metric and imperial units of measure?