Maths - equation - term one half two

Which equations use = 0

(=0 are An equation with three fractions: ,Two fractions with x's on top/bottom:) (normal are Two fractions on the same side, x's on the bottom/top, simple ones)

cos

Cos(of x) = adj over hypotanese

The cosine rule - to find a side:

C² = a² + b² - (2ab Cos C) *C is the angle between the two other sides you know. * Remember that once you have found cos(C) you need to do cos inverse of the answer to get just the angle C - which is what you want!

Definition of Formula:

A special type of equation that shows the relationship between different variables. Example: The formula for the volume of a box is V = l × w × h

pythag

A^2 + B^2 = c^2

Definition of Equation:

An equation says that two things are equal. It will have an equals sign "=" like this: 7 + 2 = 10 - 1

area of parallelogram

Area = b × h b = base h = vertical height

area of Trapezium (UK):

Area = ½(a+b) × h h = vertical height

area of Elipse

Area = πab (a is radius up b is radius across)

Volume of prism

Area of base (main shape of the prisms) x height (e.g think how that shpe in the cm of the body make it up)

area of triangle

Base length x verticle heigt x ½ (0.5)

volume of sphere

4/3 πr³

m³ to l

1 cubic meter = 1000 l

kg to g

1 kg = 1000 g

litres to cm³

1 litre = 1000 cubic centimeters

Litres to m

1 litre = 0.001 m³

l to ml

1. 1 l = 1000 ml

volume of cone

1/3 πr²h

volume of a cone

1/3πr2h

Circumference of circle:

2 × π × r

Definition of Function:

A function is a special relationship where each input has a single output. It is often written as "f(x)" where x is the input value. Example: f(x) = x/2 ("f of x is x divided by 2") is a function, because each input "x" has a single output "x/2": • f(2) = 1 • f(16) = 8 • f(−10) = −5

whole surafce area of a cylinder

2πrh+2πr²

SA of a sphere

4 πr^2

area of rectangle/square:

: base x length

area ± area

= area

volume ÷ length

= area GO TRY BBC QUESTIONS

area ÷ length

= length

length ± length

= length

volume ÷ area

= length

volume ± volume

= volume

front elevation

Front elevation - Lookking at it from the

Definition of Inequality:

Inequality tells us about the relative size of two values. Symbol Words Example > greater than x + 3 > 2 < less than 7x < 28 ≥ greater than or equal to 5 ≥ x - 1 ≤ less than or equal to 2y + 1 ≤ 7

side elevation

Looking at it from the side

plan elevation

Plan - looking at it from the top e.g you would see the roof of a house

sin

Sin (of x)= opp over hypotanes

tan

Tan(of x) = 0pp over adjactene

What to use for <>

Use a hollow black dot for < and >. (not equal to this number)

The ambiguous sine rule:

When using trigonometry rule one what happens if the angle is acute/obtuse but is the opposite on the diagram? To fix this you have to minus your incorrectly acute/obtuse angle from 180. (Because in this situation there is a theoretical other triangle making there two answers which = 180 (think angles on a line) don't need to know this)

• When you add lengths together,

a length (permiter)

The sine Rule:

a/sin A = b/sin B = c/ sin C ( capitals being angles - little being opposite sides) - Put whatever you are trying to find on the top of the fraction

Definition of identity:

an equation that is true no matter what values are chosen. Example: a/2 = a × 0.5 is true no matter what value is chosen for "a"

• When you multiply two lengths

area

SA of pyramid

area of the faces added together

radius from cicumference

circumference/2π

The cosine rule - to find an angle:

cos C = a² + b² - c² ------------- 2ab * Remember that once you have found cos(C) you need to do cos inverse of the answer to get just the angle C - which is what you want!

density triangle

d m v (down up down)

To get the frequency density(height) of a bar

divide the frequency by the width (span of data)

Side length of a square from area

square root

volume of a pyramid

the area of the base of the pyramid times the veriticle height divided by 3

to tell frequency from a bar

times the frequency density(height - y axi) by the width of the ( x axis.- e.g 20-40 mins is 20)

• When you multiply three lengths

voume

What is the quadratic equation to work out WRITE DOWN BEFORE SEE ANSWER

x= -b±√b²-4ac over 2a

Where are a b c in a quadratic equation

y(0)= ax² + bx + c

Which term do you x/+

y(0)= ax² + bx(+) + c(x)

Formula for the area of a triangle using trigonometry:

½ x a x b x Sin C (a, b being the sides surrounding angle C - can be any angle that's appropriate)

area of circle

πr2

SA of circle

πr^2

SA of cone

πrl + πr2 (l is slant height) (use pythag to get that)

volume of a cylinder

πr²h + 2πr²

cm to mm

• 1 cm = 10 mm

km to m

• 1 km = 1000 m

m to cm

• 1 m = 100 cm

What to use for for ≤ and ≥

• Use a solid black dot for ≤ and ≥. (equal to this number)