Year 9 FULL MATHS REVISION NOTES - also helpful for gcse made with the help of www.mathsrevision.net

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YR 9 LAYER TEST 1
PROBABLILITY
P(A) means the probability that a happens
Eg- ½ a chance of getting heads when you toss a coin
P(A') means the probability that A doesn't happen
Eg- ½ a chance of NOT getting heads when you toss a coin.
(P')=1-P(A)
If two events are mutually exclusive they cannot both happen at the same
time.
Eg- you cannot get heads and tails both at the same time.
If events A and B are mutually exclusive then
P(A or B)=P(A)+P(B)
If A and B are independent then...
P(A or B)=P(A)XP(B)

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TREE DIAGRAMS.
A box contains 2 black counters and 4 white counters. One counter is picked at
random. The tree diagram below shows this.
Suppose the counter is not put back. The contents of the box will be different.
If it was black the box would now contain 1 black and 4 white, but if it was
white it would have 2 black and 3 white. This is shown below.
WE ALWAYS MULTIPLY ALONG THE BRANCHES AND
ADD THE ANSWERS THAT WE NEED.
Questions...…read more

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Algebra
Multiplying out Brackets
(x+2)(x+7)
X²+2x+7x+14
Middle terms cancel
out…read more

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Factorising Quadratic Equations
If necessary re-arrange FIRST.
Eg:
x(x-5)=2(x+9)
x²-5x=2x+18
x²-7x=18
x²-7x-18=0
then solve the equation.
Factorise the answer to make...…read more

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So x can be equal to +2 or ­9
Changing the subject of a formula.
What is the subject?
V=u+at
V would be the subject.
To make u the subject.
V=u+at
Take at from both sides
v-at=u
Similar shapes
Two shapes are mathematically similar if one is an
enlargement of the other. Or the angles are the same on
both shapes.…read more

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If these shapes are similar find x and y?
Similar Triangles
Two triangles are similar if they...…read more

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TRIGONOMETRY.…read more

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SOH-CAH-TOA
Sine= opp
hyp
cosine= adj
hyp
tangent= opp
adj…read more

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Tan
Finding a Side
tan20= x/7
x=7 X tan20
=2.…read more

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¹(3/7)
x=23.2
sin
sin20=a/7
a=7 X sin20
=2.39 (3 s.…read more

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