Further Maths

• acceleration = speed / time
• area of a trapezium = 1 / 2 h (a + b)
• speed = distance / time
• equation to find the gradient

  m = (y2-y1) / (x2-x1)
• the equation of a straight line can be written as y=mx+c, where m is the gradient and c is the intercept on the y-axis.
• What is the normal to the curve?

  Perpendicular to the tangent
• What is the graph of a quadratic function called?

  Parabola
• What is an asymptote?


  A line that a curve approaches but never touches.
• equation of a straight line (not y=mx+c)


  ay + bx + c = 0
• when lines are parallel they have the same gradient
• a line perpendicular to y=mx+c has the gradient -1/m
• What is an arithmetic series?

  The terms of the sequence are added together
• What is the general term of a sequence/series called?

  nth term
• What is the nth term of an arithmetic series?

  nth term = a + (n-1)d
• What is a and d stand for in a+(n-1)d

  a is the first term

  d is the common difference
• What is the equation to find the sum of an arithmetic series?

  Sn = n/2 [2a + (n-1)d]
• How can you find the sum of an arithmetic series using the Last Term

  Sn = n/2 (a+L)
• How do you rationalise the fraction $\frac{\sqrt{b}}{b+\sqrt{c}}$?


  You multiply the numerator and denominator by $b-\sqrt{c}$.
• how to factorise x²-y²

  (x-y)(x+y)