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SAT math formulas > formulas > Flashcards

formulas Flashcards

1
Q

area of a triangle

A

0.5 x b x h

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2
Q

the sum of a two triangles is more or less the other side

A

more

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3
Q

the difference of two sides is more or less the other side

A

less

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4
Q

what is the exterior angle rule of a triangle

A

two angles opposite to the exterior angle is equal

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5
Q

angle opposite to the largest side is the ___

A

largest

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6
Q

angle opposite to the smallest side is the ____

A

smallest

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7
Q

when the power goes to the other side it becomes

A

the reciprocal

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8
Q

d1 + d2
———— av speed?
T1 + T2

A

d1+d2/T1+T2

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9
Q

S1 + S2
———— av speed?
T1 + T2

A

(s1 x t1) + (s2 x t2) / T1 + T2

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10
Q

d1 + d2
———— av speed?
s1 + s2

A

d1 + d2 / (x1/v1) (x2/v2)

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11
Q

when two objects move in same direction you ___ the speeds

A

subtract

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12
Q

when two objects move in different direction you ___

the speeds

A

add

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13
Q

mean

A

sum of all observations/ number of observations

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14
Q 
weighted mean
eg: if in one class 10 students get 90% and in second class 20 students gets 70% what would be the average of two classes
A

(10 x 90) + (20 x 70) / 30

( (average x number of students) + (average x number of students) ) / total number of students

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15
Q

median

A

middle term - arrange in consecutive order. it is the (n+1)/2 th term if odd
if even it is the (n/2) and (n+1)/2 th terms average

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16
Q

mode

A

most frequently repeated term

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17
Q

circle formula if centre is (0,0)

A

A^2 + B^2 = R^2

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18
Q

circle formula with any centre (h,k)

A

(x-h)^2 + (y-k)^2 = R^2

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19
Q

area of circle

A

pi 2 squared

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20
Q

circumference of circle

A

2 pi r

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21
Q

when a tangent is drawn next to a circle the radius is…

A

perpendicular

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22
Q

If two tangents are drawn by a circle and intersect at one point they are….

A

equal

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23
Q

in a circle two lines are drawn (a+b) and (c+d), they intersect. What is the relation

A

a x b = c x d

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24
Q

arc length in degrees

A

theta/360 x 2 pi r

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25
Q

sector area in degrees

A

theta/360 x pi r square

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26
Q

from centre of a circle (a,b) a line is drawn that hits the circumference at (x,y) what is the relation?

A

x = a + r cos theta
y = b + r sin theta
(theta is taken from positive x axis in anti-clockwise direction)

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27
Q

distance formula

A

root ( x2 - x1 )^2 + (y2- y1)^2

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28
Q

mid point

A

coordinate is ( ( x1 + y2) / 2 , (y1 + y2) /2 )

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29
Q

slope

A

y2-y1/x2-x1

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30
Q

gradients of two perpendicular lines

A

negative reciprocal

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31
Q

area of rectangle

A

lb

32
Q

perimeter of rectangle

A

2(l+b)

33
Q

in a rectangle are diagonals equal and bisect

A

yes at 90

34
Q

parallelogram area

A

b x h

35
Q

parallelogram perimeter

A

2 (b + h )

36
Q

do diagonals bisect and are they equal in parallelogram

A

bisect (not a 90) but are not equal

37
Q

rhombus perimeter

A

4a

38
Q

rhombus area

A

p x q / 2

39
Q

trapezium area

A

(a + b)2 x h

40
Q

sum of interior angles

A

(n-2) x 180

41
Q

one angle in a regular polygon

A

180(n-2)/n

42
Q

sum of exterior angles

A

360

43
Q

volume and sa of cuboid

A 
volume= l x b x h
sa = 2(lb+bh+hl)
44
Q

diagonal of cuboid from top left vertex to bottom right

A

root of l^2 + b^2 + h^2

45
Q

volume and sa of cube

A 
volume = a^3
sa = 6a^2
46
Q

sa of cone

A

pi r (slant height x radius)

47
Q

sa of sphere

A

4 pi r squared

48
Q

if a sphere is inscribed in a cube what is the diameter of a sphere

A

the length of the side of the cube

49
Q

if a cuboid is inscribed in a sphere what is the diagonal fo the cuboid

A

diameter of sphere

50
Q

volume of object immersed in water

A

base area of container x h (water amount rises)

51
Q

i =

A

root - 1

52
Q

i squared =

A

-1

53
Q

i cubed =

A

-i

54
Q

i ^ 4 =

A

1

55
Q

how do you conjugate a complex number

A

change sign of imaginary number

56
Q

when are two complex numbers equal

A

when both imaginary and real numbers are equal

57
Q

how to find magnitude of complex number

A

root of imaginary squared + real squared

58
Q

radian to degree

A

multiply by 180/pi

59
Q

degree to radian

A

multiple by pi/180

60
Q

length of arc in radians

A

theta into radius

61
Q

area of sector in radians

A

theta/2 pi x pi r squared

62
Q

cosec theta

A

1/sintheta

63
Q

sec theta

A

1/cos theta

64
Q

cot theta

A

1/ tan theta

65
Q

unit circle order

A

CAST and SECACOSCOT

66
Q

sin 90 - theta

A

cos theta

67
Q

cos 90 - theta

A

-sin theta

68
Q

adding c to all observations

A

mean median mode increase by c, SD and range is same

69
Q

multiplying c to all observations

A

everything multiples by c

70
Q

what is mean, sd, median and mode on calculator

A

x̅, σ, med, mod

71
Q

best fit line on calculator ?

A

F6

72
Q

geometric progression

A

nth term = ar ^ (n-1)

a= first term 
n = number of terms
r = common ratio
73
Q

exponential growth equation

A

final - initial (growth multiplier) ^ (time required/time period)

74
Q

arithmetic progression

A

a + (n-1) d

a= first term
n= number of terms
d = common difference
75
Q

quadratic formula

A

-b plus minus root b squared - 4ac / 2a

76
Q

how to complete the square

A

a (x+d) squared + e = 0
d = b/2a
e = c - (b square/ 4a)

SAT math formulas (1 decks)

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