Brainscape's Knowledge GenomeTM


Top Flashcards (Certified)
All Flashcards

math > formulas > Flashcards

formulas Flashcards

1
Q

Exterior Angles Theorem

A

a + b + c= 180
x= a + b
c= 180 - x
-exterior angles is equal to sum of opp interior angles

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

formula of exterior angles of regular polygons

A

360 / n
n = no. sides

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

formula of interior angles of regular polygons

A

180 ( n -2 )
n = no. sides

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

how to find sum of interior angles in a polygon

A

-from 1 point draw lines to other points inside the polygon
-180 x no. triangles found

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

formula for sector angle size of pie chart

A

-sector angle size = fraction x 360
-find fraction by measuring

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

formula for sector no. side of pie chart

A

-sector no. = fraction x total no.
-find fraction by measuring

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

formula for no. % in pie chart

A

-no. % = fraction x 100%
-find fraction by measuring

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

formula for mean

A

add all / no. of things

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

how to find mode/ modal

A

most occurring value

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q

how to find median

A

rearrange from lowest to highest and find middle value

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
11
Q

formula for range

A

highest value - lowest value

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
12
Q

formula to find % of a no.

A

a/100 x b

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
13
Q

formula to find no. from %

A

% x no.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
14
Q

formula for theoretical probability

A

P(x) = what should happen x no. trials

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
15
Q

formula for probability

A

P(x) = no. times happens x no. trials

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
16
Q

Perimeter of square

A

4b

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
17
Q

Perimeter of react.

A

2( L + b )

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
18
Q

Perimeter of circle (circumference)

A

πd

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
19
Q

Perimeter of circle arc (circumference)

A

angle/ 360 x πd

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
20
Q

Area of square

A

b^2

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
21
Q

Area of react

A

Lb

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
22
Q

Area of triangle

A

1/2 x bh

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
23
Q

Area of trap.

A

h( a+b )/ 2
a & b are parrel sides
h = hieght btw a & b

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
24
Q

Area of circle

A

πr^2

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
25
Area of rhombus
Lb
26
Area of parallelogram
Lb
27
Area of circle sector
angle/ 360 x πr^2
28
Area of curved surface area of cone
πrL L = length from bottom to tip
29
Area of surface of Sphere
4πr^2
30
Volume of cube
b^3
31
Volume of cuboid
Lbh
32
Volume of prism
1/2 x bh x h (cross-section x h)
32
Volume of cylinder
πr^2 h
33
volume of pyramid
1/3 x base area x perpendicular height
34
Volume of cone
1/3 x πr^2 h
35
Volume of Sphere
4/3 x πr^3
36
How to find no. in set
make a equation with total
37
how to do set builder notation?
- " (set letter) = {x: x ____} " - x = all values in set - : = such that - ______ = add the rule
38
Formula for straight lines
- y = mx + c -m = gradient -c = y-intercept -y & x = not fixed values
39
formula for gradient of straight line
-rise/ run -without graph: need 2 points y2 - y1/ x2 - x1 -always make fraction
40
formula for y-intercept of straight line
-need 1 point & gradient y - y1 = m (x - x1)
41
How to find equation of parallel straight line
-m is same -change c only
42
how to find gradient of perpendicular straight line (has to intersect at 90)
-m for perpendicular is inverse - flip fraction & make ( - )
43
formula for midpoint of straight line
- x1 + x2/ 2 (for x) - y1 + y2/ 2 (for y) - (x, y)
44
formula for length of straight line
-use Pythagoras -√ (x2 - x1)^2 + (y2 - y1)^2
45
What is DOPS
-diff of perfect squares - a^2 - b^2 = (a + b)(a - b) -eg. x^2 - 9 = (x + 3)(x - 3)
46
Cheats method for linear equations
-only use if no no. before letter - x^2 _ (no.s [ + ] [letter]) _ (no.s [x]) -eg. (x - 2)^2 = (x - 2)(x - 2) = x^2 - 4x + 4
47
formula for Pythagoras
-a^2 + b^2 = c^2 -only in right angel
48
formula for median
-nth = no. data -nth + 1/2 = term
49
formula to find middle of class interval
-find middle of class range by adding the 2 no.s & dividing by 2
50
formula for arithmetic sequence
a n = a1 + (n-1 )d a n = nth term a1 = first term d = diff btw terms
51
formula for geometric sequence
a n = a1 x r^n-1 a n = nth term a1 = first term r = ratio
52
Formula for straight lines
y = mx + c -m = gradient -c = y-intercept -y & x = not fixed values
53
formula for gradient of straight line
-rise/ run -without graph: need 2 points y2 - y1/ x2 - x1 -always make fraction
54
formula for y-intercept of straight line
-need 1 point & gradient y - y1 = m (x - x1)
55
formula for length of straight line
-use Pythagoras -√ (x2 - x1)^2 + (y2 - y1)^2
55
how to find gradient of perpendicular straight line (has to intersect at 90)
-m for perpendicular is inverse - flip fraction & make ( - )
56
How to find equation of parallel straight line
-m is same -change c only
57
formula for midpoint of straight line
x1 + x2/ 2 (for x) y1 + y2/ 2 (for y) (x, y)
58
congruency tests
(S = side, A = angle) -SAS -ASA -SSS -AAA -RHS = Right angle, hypotenuse, S
59
formula for frequency density
frequency/ class width frequency = diff btw a & b
60
how to find θ for right angled triangles
-SOH CAH TOA sin θ = O/ H cos θ = A/ H tan θ = O/ A -O is side opposite θ -H is longest side
60
Quadratic formula
-b +- √ (b)^2 - 4ac ------------------------ 2a -put bracket in calc when (b)^2
60
Pythagoras theorem
a^2 + b^2 = c^2
61
functions for sine, cosine, tan
1) sine x< 180 (x = +) __ sin x = sin (180 - x) x> 180 (x = -) __ x - 180 = y , sin x = sin (360- y) 2) cosine x< 90/ x> 270 (x = +) __ cos x = -cos (180 - x) 90< x< 270 (x = -) __ cos x = cos (360 - x) 3) tan tan x = tan (180 + x)
61
sine rule
A, B, C - angle a, b, c - side (side has to be opposite same letter angle) a b -------- = -------- sin A sin B -cross multiply -2 sides, 1 angle/ 1 side, 2 angles
61
cosine rule
A, B, C - angle a, b, c - side (side has to be opposite same letter angle) -c^2 = a^2 + b^2 - 2ab cos C -cos C = a^2 + b^2 - c^2 ------------------------- 2ab -3 sides/ 2 sides, 1 angle
62
area of a right angled triangle
1/2 x base x height
63
area of non right angle triangle
1/2 x ab sincC
63
formula for compound interest = formula for exponential graph
P = principle R = rate from % in DECIMALS t = time A = total amount P (1 +/ - R)^ t = A -appreciation/ growth = ( + ) -depreciation/ decay = ( - ) *total money including compound interest
63
formula for simple interest
P = principle R = rate from % in DECIMALS t = time simple interest = PRT * only simple interest, not total money*
64
formula when writing/ solving compound interest
- P ( 1+ r/ 100)^ t = A r/ 100 because r has to be in decimal, not % - 1 + r/ 100 = t^√A/P
65
how to find tax from taxable income (gross income) bracket
eg. $23 760 (x) + 25% (%) of the amount above $132 000 (y) x + % of the amount over y z = gross income formula: x + (% x [z - y]) = tax needed to pay
66
formula for % profit/ loss
profit/ loss ------------------ X 100% cost price
67
formula for Turning point x coordinate (only used for Quadratic)
x = -b --------- 2a
68
rules for differentiation
-multiply coefficient of x with power, minus power by 1 -if power = 1, take only coefficient if there is or just 1 -if number without x, remove it

math (26 decks)

Brainscape helps you reach your goals faster, through stronger study habits.
© 2025 Bold Learning Solutions. Terms and Conditions