MATHS REVISON

MATHS REVISON

1. Pythagoras' theorem

   • A²+B²=C²
   • Only works on right angled triangles
   • c is always the longest side (hypotenuse) opposite the right angle
   • use the numbers fro the triangle work out the sum the answer is then C² find the square root and that's the answer

2. volume

   • can also be called capacity
   • cuboid-lenthxwidthxheight=volume of cuboid
   • prism-cross'sectionxlength=volume of prism
   • pyramid-areaofbasexheight*3
   • cone-areafbasexheight*3
   • hemisphere-radius³xpix4*3*2

3. trigonometry

   • find o,h,a - find the one that wont be used - write the correct formula - add the needed numbers, work out equation, use calc for answer
   • ratio - sine, calc button - sin, rule - soh, equation formula - sinX=o/h
   • ratio - cosine, calc button - cos, rule - cah, equation formula - cosX=a/h
   • ratio - tangent, calc button - tan, rule - toa, equation formula-tanX=o/a
   • O goes is opposite the angle h is opposite the right angle a is the remaining line

4. averages

   • mode-mostcommon, median-middlevaluewheninorder, mean-totalitems*numberofitems, range-differencebetweenhighestandlowest

5. sequences

   • nth term is what the sequence changes by e.g goes up by 3 then 3n and the whatever is added to the difference to get the first number e.g if its 5 its 3n+2
   • dn + (a - d)

6. standard form