## Numeracy Revision

In mathematics, there is relatively little that can be learned as facts. However, before you commit the sin of claiming that maths needs no revision, you need to have fixed the techniques into your mind, moving the learning from short term to longer term memory. These sheets bounce between topics, sometimes showing connections between those topics, but usually just reminding you of skills I think you should remember.

The really bad news? Maths is a cumulative subject: we use previous knowledge (all the time) to build up new ideas and techniques. The people who steadily slip down the system (top set not included) have generally lost (or not gained initially) skills from previous lessons. Which is one reason we spend so much time fixing your arithmetic - if you can’t do that……

I have put  load of stuff in the ‘General’ section. Much of this could be practised, some of it could be learned. For GCSE there is a lot of sense in learning some of the conversion numbers, a mile = 1609.344 metres, 25.4mm = 1 inch, 454g = 1lb (a pound, more accurately 453.6g), and so on. That will steadily change, I expect. Knowing that a hectare = 100² m² is something I’d assume, but knowing an acre in m² would be unusual (most of us would look it up, some of us would work it out). I’d assume you know a ton and a tonne are about the same and I’d expect my classes to know a ton in terms of a tonne and that the difference is a small suitcase of weight (16kg, a pile of marking).

Expected Knowledge:

1   ….know for certain

millimetres in an inch  ____________

metres in a mile         _______________

litres in a gallon          ______________

grammes in a pound      ___________

2  ….be upset at making errors

litres in a cubic metre   ______________

kilogrammes in a tonne    ______________

cubic millimetres in a cubic centimetre    ______________

hectares in 10 sq km      ______________

3…... know or be able to work out from other knowledge

inches in a mile ______________

mm in a foot  ______________

square yards in an acre  ______________

square feet in a square yard   ______________

4… be able to work out things like these….

square feet in a square metre ______________

hectares in a square mile   ________________

litres in a cubic foot    ____________________

1.    25.4; 1600 (poor), 1609, 1609.344; 4.54, 454.
2.    a thousand in every case
3.    63360, 304.8, 4840, 9
4..   about 10, almost 259, a bit over 28

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