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EXAMINATION HINTS
Before the examination
Obtain a copy of the formulae book ­ and use it!
Write a list of and LEARN any formulae not in the formulae book
Learn basic definitions
Make sure you know how to use your calculator!
Practise all the past papers - TO TIME!
At the start of the examination
Read the instructions on the front of the question paper and/or answer booklet
Open your formulae book at the relevant page
During the examination
Read the WHOLE question before you…read more

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C1 KEY POINTS
C1 Algebra and functions
x x
Surds (i) xy = x× y (ii) = (iii) a x ± b x = (a ± b) x
y y
N.B. In general x± y x± y
1 a 1 am b
Rationalising Given , multiply by . Given , multiply by
a a a± b am b
am
Indices 1. am × an = am + n 2. = am ­ n 3. (am)n = amn 4. a0 = 1
an
5.…read more

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C1 Coordinate geometry P (x1, y1) and Q (x2, y2)
y 2 - y1
Gradient of PQ = Distance PQ = ( x 2 - x1 ) 2 + ( y 2 - y1 ) 2
x 2 - x1
Equation of a straight line
(i) Given the gradient, m and the vertical intercept (0, c): y = mx + c
(ii) Given a point P (x1, y1) on the line and the gradient, m: y ­ y1 = m(x ­ x1)
y - y1…read more

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C2 KEY POINTS
C2 Algebra and functions
Algebraic division by (x ± a)
Remainder theorem: When f(x) is divided by (x ­ a), f(x) = (x ­ a)Q(x) + R where Q(x) is
the quotient and R is the remainder
Factor theorem: If f(a) = 0 then (x ­ a) is a factor of f(x)
C2 Coordinate geometry
Circle, centre (0, 0) radius r: x2 + y2 = r2
Circle centre (a, b) radius r: (x ­ a)2 + (y ­ b)2 = r2
Useful…read more

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­ )° °
S A
T C
(180 + )° (360 ­ )°
sin
cos2 + sin2 = 1, tan =
cos
C2 Exponentials and Logarithms
If y = ax then logay = x
p
Laws of logarithms: logapq = logap + logaq, loga = logap ­ logaq, logaxn = n.…read more

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