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)
