Maths Flashcards

1
Q

equation for gradient

A

(y2-y1) / (x2-x1)

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2
Q

equation for midpoint

A

(x1+x2 / 2), (y1 + y2 / 2)

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3
Q

equation for distance

A

√(x2-x1)^2 + (y2-y1)^2

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4
Q

a^2 - b^2 =

A

(a+b)(a-b)

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5
Q

proportional

A

y=kx

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6
Q

inversely proportional

A

y = k/x

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7
Q

x^0

A

1

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8
Q

x^1

A

x

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9
Q

x^n x x^m

A

x^(n+m)

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10
Q

x^n / x^m

A

x^(n-m)

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11
Q

(x^n)^m

A

x^(nm)

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12
Q

x^-2

A

1 / x^2

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13
Q

x^(1/2)

A

√x

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14
Q

arithmetic series

A

nth term = a + (n-1)d
d = common difference
a = first term

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15
Q

sum of first n terms

A

Sn = n/2 (a+l)
Sn = n/2 [2a + (n-1)d]

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16
Q

reciprocal graphs

17
Q

ξ

A

universal set

18
Q

A

…is a member of…

19
Q

A

… is not a member of …

20
Q

A U B

A

union of sets A & B
set of elements that are in A or B or both

21
Q

A ∩ B

A

intersection of sets A & B
set of elements that are in both sets A & B

22
Q

A’

A

complement of A
set containing all the elements that are not in A

23
Q

A

empty set
set with no members

24
Q

A ⊂ B

A

A is a subset of B
every member of A is also in set B

25
n(A)
number of elements in set A
26
quadratic inequalities: > / ≥ < / ≤
> / ≥ - regions above x axis < / ≤ - regions below x axis
27
arc length equation
θ/360 x 2πr
28
sector area equation
θ/360 x πr^2
29
perimeter of sector equation
2r + arc length arc length = θ/360 x 2πr
30
frequency density equation
frequency / class width
31
equations of straight lines
y=mx+x y-y1=m(x-x1) where y1,x1 = point on line
32
displacement, velocity, acceleration
s = displacement (m) v = velocity (m/s) a = acceleration (m/s^2)
33
Sine graphs
x 180-x x-360 (180-x)-360
34
Cos graphs
x 360-x -x x-360
35
Tan graphs
x-180 x x+180 x+360