In this second part of the revision topic, we will discuss Conversion Problems from Imperial to and from Metric. You can read part 1 here:

Conversion Problems P1 • Mathematics Quiz for Revision | GCSE.CO.UK
You will need to be familiar with Metric and Imperial unit conversions, which are two main types of unit conversions.

Imperial-to-metric and metric-to-imperial conversions involve changing a quantity from one system of units to another. These conversions are essential in many fields, such as science, engineering, and everyday life.

You must know the conversion factors to convert between imperial and metric units. Here are some common conversion factors for imperial to metric conversions:

1 inch (in) = 2.54 centimetres (cm)
1 foot (ft) = 0.3048 metres (m)
1 yard (yd) = 0.9144 metres (m)
1 mile (mi) = 1.6093 kilometres (km)
1 pound (lb) = 0.4536 kilograms (kg)
1 ounce (oz) = 28.3495 grams (g)
1 fluid ounce (fl oz) = 29.5735 millilitres (mL)
1 pint (pt) = 0.4732 liters (L)
1 gallon (gal) = 3.7854 liters (L)

You can use these conversion factors as ratios to convert from imperial to metric units. For example, to convert 5 feet to meters, you can use the conversion factor:

1 foot = 0.3048 meters

So, 5 feet = 5 × 0.3048 meters = 1.524 meters.

Similarly, to convert 10 pounds to kilograms, you can use the conversion factor:

1 pound = 0.4536 kilograms

So, 10 pounds = 10 × 0.4536 kilograms = 4.536 kilograms.

To convert from metric to imperial units, you can use the reciprocal of the conversion factors. For example, to convert 500 millilitres to fluid ounces, you can use the conversion factor:

1 fluid ounce = 29.5735 millilitres

So, 500 millilitres = 500/29.5735 fluid ounces = 16.907 fluid ounces (rounded to three decimal places).

Similarly, to convert 2 kilograms to pounds, you can use the conversion factor:

1 pound = 0.4536 kilograms

So, 2 kilograms = 2/0.4536 pounds = 4.409 pounds (rounded to three decimal places).

When working with imperial-to-metric and metric-to-imperial conversions, keeping track of the units and cancelling out units common to the numerator and denominator is essential. By following this method, you can ensure that the units in your final answer are correct.

Practice is vital when it comes to conversions. Try practising with different examples until you feel comfortable with the process.

Conversion Problems Part 2 Revision Quiz

To answer the questions correctly, hover over each option and click to select it. After you finish, click 'Submit' to check your score and see the correct answers and explanations. Most questions will include an explanation with the answer. Please take the time to read the explanations accompanying the answers to your questions. Doing so will give you a better overall understanding of the topic. All the best!

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