General Flashcards
Area of a circle
A = PIE x R*2
Area of a Parallelogram
A = bh
Area of a trapezium
Half the sum of the parallel sides times the distance between them.
Length of an arc
Angle/360 x PIE d
Area of a sector
Angle/360 PIE r*2
Inequalities on a number line - Open circle means…
< or > - not equal to
Inequalities on a number line - Closed circle means…
or >/ - or equal to
Estimate probability =
number of successful trials / total number of trials
Two shapes are similar if…
they are enlargements of each other. Corresponding sides will have a common scale factor called the length scale factor. If the angles in both of the shapes are the same then they are also similar.
Pie chart symbol - E
Is an element of
Pie chart symbol - P
probability of
Pie chart symbol - C
is a subset of
what does this mean: P(A n B)
Probability of a number being in A and B
Pie chart symbol - I
given that… (the Pie chart symbol - Probability of attending spinning given that they attended circuits)
How to find the gradient of a line
y2 - y1 / x2 - x1
How to find the midpoint of the line
x2+x1 /2 , y2+y1 /2
What do perpendicular lines have in common?
the product of their gradients is always -1
Anything to the power of zero =
1
how to simplify
16-4 / 81
They both have to have the same base number
(24)-4 / (23)1
2*-19
What happens if something is to the power of a half
Square root it
Powers of m/n (fractions)
(n*root of number) to the power of m
Powers of -n
1/number*n
one over number to the power of n
percentage change =
new / old
How to find the length of the line joining two coordinates
(x2 - x1)^2 + (y2 - y1)^2
what circle theorem would you use when you are given two radii joined at the centre and two chords joined at the circumference
Angle at the centre of a circle is twice the angle at the circumference, both subtended by the same arc
what circle theorem would you use when given a triangle whose base length is the diameter
The angle in a semicircle is a right angle
what circle theorem would you use when many of the bases of triangles are joined in the same place
Angles in the same segment are equal
what angle theorem would you use when there is a square with all four points inside the circle
Opposite angles of a cyclic quadrilateral add up to 180*
cyclic quadrilateral = all vertices lie on the line
what circle theorem would you use when given a tangent and a radius
The angle between a tangent and a radius of a circle is 90*
what circle theorem would you use when given two tangents joined outside the circle
Tangents to a circle from a point outside the circle are equal in length
what circle theorem would you use when there is a tangent and three connected chords
The angle between a tangent and a chord is equal to the angle in the alternate segment
What does U mean in pie charts
Union - everything inside the circles
what does n mean in pie charts
Intersection - everything in the joins
What does the circle with a line through it mean in pie charts
empty set
What does A’ mean in pie charts
not A
to draw a cumulative frequency graph from and inequality table where would you plot the first point
from the highest number of the inequality
eg 15<a></a>
when would you need to use a dotted line on a graphical inequality graph
when the line is not equal to
eg x < 1
how to calculate compound interest
eg £9000 with aa compound interest of 1.8% for 3 years
(1.018)^3 x 9000
Formula for volume of a pyramid
(Base width x base length x perpendicular height) / 3
