Brainscape's Knowledge GenomeTM

Browse over 1 million classes created by top students, professors, publishers, and experts.


See full index

IGCSE Math Equations > Equations > Flashcards

Equations Flashcards

1
Q

Total sum of angles on a Polygon?

A

180 (n-2)

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

Each angle in an equilateral (equiangular) Polygon

A

180 (n-2)/2

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

Vertical angles

A

equal

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

Linear pairs

A

supplementary

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

Alternate interior angles

A

Congruent

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

Corresponding angles

A

Congruent

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

Central Angles

(an angle whose apex (vertex) is the center O of a circle and whose legs (sides) are radii intersecting the circle in two distinct points A and B.)

A

Twice the angle at the circumference

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

Inscribed angle

angle formed in the interior of a circle when two chords intersect on the circle

A

Half the angle at the centre

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

With tangent lines

inscribed angle formed by a secant and tangent line is half of the angle measure of the arc it intercepts.

A

90°

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

Cyclic quadrilaterals

quadrilateral. drawn inside a circle.

A

Opposite angles are supplementary

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

Perimeter of a parallelogram

A

2(a+b)

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

Circumference of a circle

A

C=2πr

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

Arc length (angles given in °)

A

n/360 X 2πr

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

Arc length (angles given in radians )

A

r@

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

Triangle (3 sides) (A)

A

s=0.5(a+b+c)A=√s(s-a)(s-b)(s-c)

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

Triangle (trigonometry) (A)

A

1/2 ab sinC

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

Parallellogram (A)

A

A=axh

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

Trapezoid (trapezium) (A)

A

A=(b1+b2)/2

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

Kite (A)

A

A=d1xd2/2

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

Regular polygon (A)

A

A=apothem X perimeter/2

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

Annulus (A)

the region between two concentric circles

A

A=π(R⌃2-r⌃2)

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

Sector (angle given in °) (A)

A sector of a circle is a pie-shaped part of a circle made of the arc along with its two radii.

A

A=n/360 πr⌃2

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

Sector (angle given in radians) (A)

A

@/2r⌃2

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

Segment (A)

(a set of points consisting of two points of the line called the endpoints, and all of the points of the line between the endpoints)

A

A=R⌃2/2 (π/180C - SinC)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
25
Q

Prism (SA)

SA= surface area

A

SA+2(ab+bc+ac)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
26
Q

Cylinder (SA)

SA= surface area

A

2πr⌃2+2rh

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
27
Q

Pyramid (SA)

SA= surface area

A

LW+L√(w/2)⌃2+h⌃2+w√(1/2)⌃2+h⌃2

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
28
Q

Cone (SA)

SA= surface area

A

πr(r+√h⌃2+r⌃2)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
29
Q

Sphere (SA)

SA= surface area

A

4πr⌃2

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
30
Q

Prism (volume)

A

V=Ah

A=area of the cross section, h=height/length

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
31
Q

Pyramid (volume)

A

V=Ah/3

1/3 X area of base X perpendicular height

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
32
Q

Sphere

A

V=4/3πr3

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
33
Q

Law of cosines

A

a⌃2=b⌃2+c⌃2-2ab cosA

34
Q

Midpoint

A

M=(X1+X2/2, Y1+Y2/2)

35
Q

Distance

A

d=√(x2-x1)⌃2+(y2-y1)⌃2

36
Q

Standard Form (linear equations)

A

Ax+By=C

37
Q

Slope intercept form

A

u=mx+b

38
Q

Direct Variation

A

y=AX

39
Q

Slope of parallel lines

A

the same

(This means that as x increases, so does y
as x decreases, so does y
the ratio between them always stays the same.)

40
Q

Slope of perpendicular lines

A

opposite reciprocal

41
Q

Standard form (quadratic equations)

A

y=ax⌃2+bx+c

42
Q

Intercept form

A

y=a(x-p)(x-q)

43
Q

vertex form

A

y=a(x-h)⌃2=k

44
Q

Quadratic formula

A

(-b+or-√b⌃2-4ac)/2a

45
Q

Discriminant

A

b⌃2-4ac

46
Q

Inverse matrix (2x2)

A

A = a b
c d

(To find the inverse of a 2x2 matrix: swap the positions of a and d, put negatives in front of b and c, and divide everything by the determinant (ad-bc).)

A = a b = A=d -b
c d. -c a

47
Q

Determinant

A

The determinant is:

|A| = ad − bc
“The determinant of A = a X d -b X c”

48
Q

Cramer’s rule (2x2)

A

method for solving linear simultaneous equations. It makes use of determinants and so a knowledge of these is necessary before proceeding.

If we are given a pair of simultaneous equations
a1x+b1y = d1
a2x+b2y = d2

then x, and y can be found from
X = d1   b1      Y=  a1   d1 
      d2  b2            a2  d2 
------------------------------------
      a1    b1            a1    b1
      a2   b2           a2    b2
49
Q

a⌃2-b⌃2

A

(a-b)x(a+b)

50
Q

(a+b)⌃3

A

a⌃3+3a⌃2b+3ab⌃2+b⌃2

51
Q

(a-b)⌃3

A

a⌃3-3a⌃2b+3ab⌃2-b⌃3

52
Q

a⌃3+b⌃3

A

(a+b)⌃3-3ab(a+b)

53
Q

a⌃3-b⌃3

A

(a-b)⌃3+3ab(a-b)

54
Q

Acceleration

A

vf-vi/t

vf = final velocity
Vi = initial velocity
t = yime
55
Q

Mean

A

Mean(x̄) =∑x/n

add up all the numbers, then divides by how many numbers there are

56
Q

Mean of grouped data

A

Mean(x̄) =Z(m+f)/N

m = midpoint
f = frequency
N = total number of values

To calculate the mean of grouped data, determine the midpoint of each interval, midpoints must then be multiplied by the frequencies of the corresponding interval. The sum of the products divided by the total number of values will be the value of the mean.

57
Q

Range

A

the difference between the highest and lowest values in a set of numbers

58
Q

Position of median

A

(n+1)/2

To find the median, order your data. Then calculate the middle position based on;
n = the number of values in your data set.

If n is an odd number, the median lies at the position (n + 1) / 2.

If n is an even number, the median is the mean of the values at positions n / 2 and (n / 2) + 1.

59
Q

Relative frequency

A

f/Zf

Relative frequency or experimental probability is calculated from the number of times an event happens, divided by the total number of trials in an actual experiment.

60
Q

Cumulative frequency

A

Cumulative frequency is a running total of the frequencies. This can be represented on a graph by plotting the upper boundary of the groups.

61
Q

Class width

A

Highest value - smallest value.

difference between the upper and lower boundaries of any class (category). sometimes used more specifically to mean:

62
Q

Frequency density

A

frequency/total frequency

63
Q

lower quartile

A

0.25xn

64
Q

upper quartile

A

0.75xn

65
Q

interquartile range

A

upper quartile-lower quartile

66
Q

simple interest

A

invest =PxRxT

67
Q

compound interest

A

A=p(1+r/n)

68
Q

how do you know if two functions are inverse

A

f(g(x))=x g(f(x))=x

69
Q

total sum of exterior angles of a polygon

A

360°

70
Q

each exterior angle of an equiangular polygon

A

360/n

71
Q

perimeter of a polygon

A

sum of sides

72
Q

triangle (A)

A

BxH/2

area of a triangle is one half of base times height.

73
Q

Circle (SA)

sa= surface area

A

πr⌃2

74
Q

Cylinder (V)

v=volume

A

πr⌃2h

75
Q

cone

A

πr⌃2h/3

76
Q

slope/gradient

A

M=(y2-y1)/(x2-x1)

77
Q

Pythagorean theorem

A

asdf

a2 + b2 = c2
c is the longest side of the triangle
a and b are the other two sides
c=hypotenuse

a2=b2+c2 triangle is right angled
a2b2+c2 triangle is obtuse

78
Q

Sin(A)

A

The Law of Sines (or Sine Rule) is very useful for solving triangles:

a/sin A = b/sin B = c/sin C

relates the ratios of side lengths of triangles to their respective opposite angles.

79
Q

Cos(A)

A

The Law of Cosines (also called the Cosine Rule) says:

c2 = a2 + b2 − 2ab cos(C)

used to find the remaining parts of an oblique (non-right) triangle when either the lengths of two sides and the measure of the included angle is known (SAS) or the lengths of the three sides (SSS) are known.

80
Q

Tan(A)

A

tan(a + b) = (tan a + tan b)/(1 - tan a·tan b)

Tangent rule gives the relationship between the sum and differences of the sides and angles of a triangle

81
Q

Sohcahtoa”!

A 
Soh...
Sine = Opposite / Hypotenuse
cah...
Cosine = Adjacent / Hypotenus
toa
Tangent = Opposite / Adjacent

IGCSE Math Equations (1 decks)

Brainscape helps you reach your goals faster, through stronger study habits.
© 2024 Bold Learning Solutions. Terms and Conditions