Learning how to use upper and lower bounds can be very important - particularly in manufacturing... .. although they tend to be called 'tolerances' and are not always related to just measurements. For example 'high tech' manufacturers need to work within very tight tolerances: On a Boeing 747 the jet engine turbine blades  spin at upto 3500 revs per minute - 60 times … [Read more...]

Repeating decimals to fractions.. .. is a favourite GCSE question, usually grade 7+ and worth around 2/4 marks. A repeating decimals to fractions question is a little more 'abstract' but, once you understand the principles, it should be relatively straightforward. The answer is to use algebra to show a formal proof. As with most mathematics aim for a logical progression … [Read more...]