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44 Cards in this Set

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f(x) + 3 means?

-outside function


-do as told (go up)

f(x+3) means?

-inside function


-don't do as told (opposite)

plotting cubics?

-draw out table


>equation separated down left column

rules for surds:

-list square numbers


-same square root cancel out


-write all steps

circumference of a circle?

pie d

area of a corlce

pie x r squared

volume of a prism?

area of cross section x length

quadratics with trial and improvement

-3 columns


-write too big or too small


-see which value it is closer to

equation for probability

p = number of ways / total number of outcomes

what does mutually exclusive mean?

can't happen at the same time

what does independent events mean?

does not affect other events

distance time graphs

-speed = distance / time


-acceleration or deceleration are curved

Quadratic graphs

-draw table


-where 2 lines cross find the possible for 2 values of x

how to calculate mass?

mass = density x vol

percentage increase

start with 100


add on percentage increase


x by the decimal version

percentage decrease

start with 100%


subtract percentage decrease


x by decimal version

compound interest equation

balance x multiplier to the power of years

simple interest method

find percentage


multiply by number of years and add on

percentage change equation

new = old x multiplier

Similar shapes

-exact enlargement


-sides are in the same ratio

similarities in area and vilume

FIND THE SCALE FACTOR

how to factorise quadratics

+ > ?x


x > ?


- 2 brackets

What happens if there's a co efficient?

-find a target number by number in front of x & number


-factorise seperately

Difference of two squares

-only if the equation is negative

Solving quadratic equations by factorising

-see where they cross on the x axis


-swap the signs to equal 0

Solving quadratics by completing the square

-half the number in front of x


-multiply our the share bracket


-look what u have and compare


(go from worked out to original)

To solve by completing the square

1) complete the square first


2) factorise


REMEMBER PLUS AND MINUS

When do you use the quadratic formula?

when a is greater than 1


-do plus version and minus version

When using sine and cosine rule...

-corners : capital letters


-sides : lower case

How to solve trig equations:

-solve the sinx


-inverse sin


-draw symmetry of graph

what does f(x+a) +b show?

translation of y = f(x) by -a / b


x mean inside x movement


value outside is outside y movement

Simultaneous equations with quadratics

- one linear and one quadratic


>always rearrange linear equation


>sub into quadratic as you don't have to square


>rearrange to get zero


>work out and sub back in to get y

recognising graphs of equations

quadratic is a curve


cubic is like a zigzag


reciprocal is 2 L shapes


exponential cuts y at 1

direct proportion

-find value of k using given values


-sub k into equation and answer the question

how to do inverse proportion

-as one increased the other decreases


y is inversely proportionate to k / x


-sub info into question

Triangular based prism

surface area:


area of base + 4 x area of tri


volume :


1/3 a(squared) x height

Cone

surface area :


pie x r(squared) + pie x r x length


volume:


1/3 pie x r(squared) x h

Sphere

surface area:


4 x pie x r(squared)


volume:


4/3 pie x r(cubed)

Cylinder

surface area:


2 x pie x r(squared) + pie x d x h


volume:


pie x r(squared) x h

How to find the arc length

AB = angle /360 x 2pier

How to work out the sector area

AOB = angle/360 x pie r(squared)

How to find the perimeter of a sector;

arc length + 2 x radius

how to find the area of a segment:

area of segment - area of triangle

how to find the are of a shaded area:

big sector - small sector