Jack 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