Adam Flashcards
Area of a rectangle
Base x Height
Area of a parallelogram
Base x Height
Area of a triangle
Base x height divided by 2
Area of a trapezium
Top add bottom divided by 2, times height.
The volume of a cuboid
Base x height x depth
Volume of a prism
Area of cross section x length
Volume of a cylinder
pi x (radius squared) x length
Circumference of a circle
pi x diameter
pythagoras
longest side squared equals the other two sides squared and added together
Sin (theta) =
opposite over hypotenuse
Cos(theta) =
adjacent over hypotenuse
Tan (theta) =
opposite over adjacent
Speed
distance over time
Density
Mass over volume
Pressure
Force over area
Volume of a pyramid
One third of the base times the height
Quadratic Equation
minus b, plus or minus the square root of b squared minus 4 times a times c all over 2 times a.
Sine rule (to find a length)
a over sine a = b over sine b
Sine rule for area of a triangle
half times a times b times sine C
Cosine rule to find a side
a squared equals b squared plus c squared minus 2 times b x c x cos A
Equation of a straight line
y = mx + c
How to find the gradient
change in y over change in x
tangent and a radius…
meet at a right angle
angle at the circumference equals…
…half the angle in the centre
opposite angles in a cyclic quadrilateral…
add to 180 degrees
the perpendicular bisector of a chord…
…passes through the center of the circle
tangents to a point
are equal
the angle in a semicircle equals
(Circle theorem)
a right angle!
proper name for ‘Z angles’
alternate angles
proper name for ‘C angles’
Supplementary or co-interior angles
Proper name for ‘F angles’
Corresponding angles
Compound interest
Original amount x decimal multiplier to the power of how long.
Area of a Sector
(Angle over 360) x pi x radius squared.
Arc length
(Angle over 360) x pi x diameter.
Surface area of a sphere
4 x pi x r squared
volume of a cone
1/3 x radius squared x pi x height
Curved surface area of a cone
pi x radius x length
Volume of a sphere
4/3 pi x radius cubed
Alternate angles…
Are equal
Corresponding angles…
Are equal
Co interior angles
Add to 180
How do you find the mean?
Add them all together and divide by how many
How do you find the median?
Put them in order and it’s the one in the middle.
How do you find the mode?
It’s the one that appears the most.
How do you find 10%
Divide by ten
How do you find 1%
Divide by 100
Y is directly proportional to x
y=kx
y is inversely proportional to x
y=k/x
Frequency density
Frequency/Class width
If the transformation is in the brackets
ie F(x+2)
You do the change to the x coordinate.
And you do the opposite thing.
If the transformation is out of the brackets.
ie F(x) + 2
You do the change to the y coordinate.
The gradient of parallel lines….
are equal
The gradients of perpendicular lines….
Multiply to make -1 (Are the negative reciprocal of each other)
Sum of interior angles in a polygon
(number of sides - 2) times 180
Sin 0
0
Sin 30
1/2
Sin 45
1 over root 2
root 2 over 2 (rationalised)
Sin 60
root 3 over 2
Sin 90
1
Cos 0
1
Cos 30
Root 3 over 2
Cos 45
1 over root 2
or
root 2 over 2 (rationalised)
cos 60
a half
cos 90
0
Tan 0
0
Tan 30
1 over root 3
or
root 3 over 3
Tan 45
1
Tan 60
Root 3
Tan 90
KABOOM!
You’ve just exploded the universe.
This answer doesn’t exist.
What does the m stand for in y=mx+c?
The gradiant
What does the c stand for in y=mx+c
Where the line cuts the y axis
Y is directly proportional to X
y=kx
Y is inversely proportional to X
y=k/x
Cosine rule to find an angle
CosA = (b squared + c squared - a squared) all over 2bc
Anything to the power of 0
1
1 squared
1
2 squared
4
3 squared
9
4 squared
16
5 Squared
25
6 squared
36
7 squared
49
8 squared
64
9 Squared
81
10 Squared
100
11 Squared
121
12 Squared
144
1 cubed
1
2 cubed
8
3 cubed
27
4 cubed
64
5 cubed
125
10 cubed
1000
A U B
Everything in all of A and all of B and the middle
A n B
The bit in the middle.
What is the range?
The biggest number take away the smallest.
What are the three equations you need for quadratic sequences?
a+b+c
3a+b
2a
percentage change
(new amount - old amount) / old amount all multiplied by 100
Cosine rule to find an angle
CosA=(b squared + c squared - a squared) over 2 x b x c
What does B’ mean?
Everything that isn’t B
The dash means “not”
What are the 4 ways to prove congruence
SSS
SAS
ASA
RHS
What kind of graph is this?
A quadratic graph.
What kind of graph is this?
A negative reciprocal graph.
-1/x
What kind of graph is this?
Sin graph
What kind of graph is this?
Cubic graph
What kind of graph is this?
Negative quadratic graph
What kind of graph is this?
Reciprocal graph
1/x
What kind of graph is this?
Straight line graph
y=mx+c
