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44 Cards in this Set

  • Front
  • Back

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


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


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


surface area :

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


1/3 pie x r(squared) x h


surface area:

4 x pie x r(squared)


4/3 pie x r(cubed)


surface area:

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


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